The y value or y-coordinate for the point located 3 over 5 the distance from l to m is equals to the 5.2. So, the right choice for answer of this problem is option (a).
We have a line segment, lm, with endpoints are l(0, 1) and m(2, 8). We have to determine the y value or y coordinate for the point located 3 over 5 the distance from l to m. The distance between two points is calculated by using the distance formula. Here, x₁ = 0 , x₂ = 1, y₁ = 2, y₂ = 8
so, distance between endpoints l(0,1) and m(2,8) is lm = √2² + ( 8 - 1)²
= √4 + 49 = √53
But we need only y-coordinate of point. So, the distance between l and m on y-axis is calculated by substracting of the y-coordinate of l from y-coordinate of m, i.e., = 8 - 1 = 7
Now, 3 over 5 of distance from l to m is
= (3/5)× 7
= 4.2
So, distance of required point on y-axis is 4.2 units. The y-coordinate of point is
= y-coordinate of l + 4.2
= 1 + 4.2 = 5.2
Hence, required point value is 5.2.
For more information about y-coordinate formula, visit :
https://brainly.com/question/25268205
#SPJ4
Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths.
Base 1 1/2 feet, altitude 6 inches.
Answer:
69
Step-by-step explanation:
11/2 × 6 is 69...69 is my answer
An exterior angle and the interior angle of a regular polygon added pressure toast to 7 find the number of sides of the polygon
Step-by-step explanation:
I hope this answer is helpful ):
14+3n=5n-6 solve for n
Answer:
5n-3n= 14-6
2n=8
n=8/2
n=4
..............................................
-----------------------------------
14 + 3n = 5n - 6
3n - 5 = -6 - 14
-2n = -6 - 14
-2n = - 20
n = 10
<3
PLEASE HELP URGENT
B Pick the inequality that matches the graph shown. Show all of your work to explain the
choice you selected. (See Ex. 1)
Answer:
B. y > 3x -7
Step-by-step explanation:
We can choose the correct inequality based on the y-intercept and the shading.
Y-interceptThe dashed line crosses the y-axis at approximately y=-7. This is the value of y when x=0. This observation eliminates choices D, E, F.
ShadingThe shading on the graph is seen to be above and to the left of the line. This means the variables in relation to the inequality symbol must be ...
y > ( ) . . . . eliminates choice A
and
x < ( ) or ( ) > x . . . . eliminates choice C, confirms choice B
The inequality that matches the graph is y > 3x -7.
__
Additional comment
For looking at shading, we are interested in the relation of the inequality symbol to a variable term with a positive coefficient. If the coefficient is negative, you can do either of ...
add the opposite of that variable term to both sides of the equationreverse the inequality symbolThat is, if you have -3x < ( ), when considering shading, you can consider the relation x > ( ) with the inequality reversed, or you can consider ( ) < x, which has x on the other side of the inequality. Both of these tell you shading is right of the line, where x-values are greater than those on the line.
im going insane can someone please help me…
The Equation formed from the statement is 50 + 3x and the Graph plotted will be Staright Line
What is a Linear Function?
Linear functions have a straight line as their graph. The following is the form of a linear function. y = f(x) + a+bx There is one independent variable and one dependent variable in a linear function.
Solution:
Dani is correct because the statement can be modelled into a linear function i.e. 50 + 3x here, x is the area in square foot.
And when we plot the graph for the same the garph will be a straight line
Therefore, Dani is Correct
To learn more about Linear Function from the given link
https://brainly.com/question/4025726
#SPJ1
Please help me I'm in fourth I'll give brainliest if you have a good answer :)
Answer:
1755
Step-by-step explanation:
When finding area, you want to multply the length, 45, by the width, 39. This yields the answer to the total area: 1755
To collect data on the signal strengths in a neighborhood, Tracy must drive from house to house and take readings. She has a graduate student, Dave, to assist her. Tracy figures it would take her eight hours to complete the task working alone, and that it would take Dave 12 hours if he completed the task by himself. How long will it take Tracy and Dave to complete the task together
Working together, they can complete the task in 4 hours and 48 minutes.
What is the concept of time and work?A certain amount of time (T) is taken to complete a certain work (W). The number of units of work done per unit time is called the rate of work (R). Hence, Work (W) = Rate (R) Time (T) Whenever some work is done, the total work itself can be taken as one unit.
Tracy needs 8 hours to complete the task.
Then we can find the ratio of work over time as:
1 task/8 hours = 1/8 task per hour.
This means that she can complete 1/8 of the task per hour.
Dave needs 12 hours to complete the task, then his ratio is:
1 task/12 hours = 1/12 task per hour.
This means that he can complete 1/12 of the task in one hour.
If they work together, then the ratios can be added:
R = \(\frac{1}{8}\) + \(\frac{1}{12}\)
= \(\frac{3+2}{24}\)
= \(\frac{5}{24}\)
So, working together, in one hour they can complete \(\frac{5}{24}\) of the task, now we can find the number of hours needed to complete the task as:
\(\frac{5}{24}\)×\(x\)= 1 task
x = \(\frac{24}{5}\) hours = 4.8 hours
knowing that an hour is 60 minutes, then 0.8 of an hour is 60*0.8 = 48 minutes.
Then x = 4 hours and 48 minutes.
To learn more about Time and work from the given link:
https://brainly.com/question/16900783
#SPJ4
Nick can run at a speed of 25 feet per second. Which 2-variable equation models how many feet he can run?
A) x • m = 25
B) x2 + m2 =25
C) 25 ÷m = x
D) 25x = m
The correct 2-variable equation that models how many feet Nick can run is: 25x = m,
Hence, option (d) is correct choice.
As per the data given,
We have,
Nick can run at a speed of 25 feet per second.
We need to convert the above statement in 2-variable equation models
We can write it as:
Distance covered by Nick will be:
25x = m
where x is the time in seconds that Nick runs and
m is the distance in feet that Nick runs.
The equation represents the relationship between time and distance using the constant speed of 25 feet per second.
The distance travelled is equal to the speed multiplied by the time.
For more questions on 2-variable equation models
https://brainly.com/question/10061839
#SPJ4
A girl is pedaling her bicycle at a speed of .3 km/min. How far will she travel in 2 hours? Hint: You will have to convert hours to minutes before plugging into the formula.
Question 4 options:
a. 72 km
b.54 km
c.90 km
d.36 km
Answer:
a i dont know im grade 6 maybe c or d
A girl is pedaling her bicycle at a speed of .3 km/min. The distance she travel in 2 hours is 36km
What is Distance?
Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language.
Given,
Speed = 0.3km/min
Time = 2hours
The girl's speed is listed as 3 km/min. She can ride 0.3 kilometers in a minute, according to this. She commutes for 2 hours.
First, let's change this time to minutes.
2hours x 60min = 120min
The straightforward formula links the kinematic quantities of speed, distance, and time together.
Distance = speed x time
Distance = 0.3 x 120
Distance = 36km
Hence, The distance she travel in 2 hours is 36km
To learn more about Distance click on the link
https://brainly.com/question/2854969
#SPJ2
the perimeter of a square is 28 feet. what is its area in square feet?
Write 8.05 as a mixed number and as an improper fraction.
Given the decimal value 8.05.
First we need to express as a fraction as shown;
8.05 = 805/100
Write in ots simplest form
805/100 = 5 * 161/5*20
805/100 = 161/20
Hence the decimal 8.05 as an improper fraction is 161/20
Express as mixed fraction;
161/20 = [(20*8) + 1]20
161/20 = (20*8)/20 + 1/20
161/20 = 8 + 1/20
161/20 = 8 1/20
Hence the deco
The number of visitors to a website in the first week is 40. The number of visitors each week is double the number of visitors the previous week. What is the total number of visitors to the website in the first 8 weeks? Show your work.
an architect designs a diagonal path across a rectangular patio. the path is 29 meters long. the width of the patio is x meters, and the length of the path is 5 meters more than the width. which equation can be used to find the dimensions of the patio? 0.5(x)(x 5)
The equation of the path to find the dimensions of the patio is x² + (x + 5)² = 841.
Here we have to find the equation of the dimensions of the patio.
Data provided:
the path = 29 meters
length of the path is 5 meters more than the width of the path.
So let us assume that the length of the path is x
with this, the width of the path is x + 5
The formula for the diagonal:
Diagonal² = length² + width²
Putting the data we have:
29² = x² + (x +5)²
841 = x² + (x+5)²
Therefore we get the equation as x² +(x + 5)² = 841.
To know more about the equation of the path refer to the link given below:
https://brainly.com/question/23478491
#SPJ4
by substitution.
3x-y=-13
y=4
Answer:
(-3,4)
Step-by-step explanation:
3x-y=-13
y=4
Substitute the second equation into the first equation
3x - 4 = -13
Add 4 to each side
3x -4+4 = -13+4
3x = -9
Divide by 3
3x/3 = -9/3
x = -3
(-3,4)
Pls help
Zoom in to view
Thanks
Answer:
1. x=6 y=6
2. x=3√2 y=3
3. a=5√2 b = 5
4. u=2 v=√2
5. x=2√2 y=2
6. x=6 y=3√2
Step-by-step explanation:
i need help on this, pls :)
what is the value of a?
Find an equation for the plane containing the two (parallel) lines
v1 = (0, 1, −8) + t(6, 7, −5) and v2 = (8, −1, 0) + t(6, 7, −5).
The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.
What are parallel lines?
Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.
To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),
We use the equation of a line: v = v₀ + tv₁
where v₀ and v₁ are points on the line and t is a real number.
Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)
This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.
Equate the components:
0x + 1y - 8z = D....(1)
6x + 7y - 5z = D...(2)
Now, we subtract equation (1) from (2) and we get
6x - 0x + 7y - 1y - 5z + 8z = 0
6x + 6y + 3z = 0
Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.
To learn more about the parallel line from the given link
https://brainly.com/question/24607467
#SPJ4
If the composite functions f(g(x)) and g(f(x)) both equal x, then the function g is the____function of f.
If the composite functions f(g(x)) and g(f(x)) both equal to x, then the function g is the Inverse function of f.
What is the inverse of a function?A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y.
Let us take the Example.
Suppose f(x)= x/4 and g(x)=4x.
Let x=1
then f(g(x))= f(g(1))=f(4)=1
and g(f(x))=g(f(1))=g(1/4)=1
Here, f(g(x))=g(f(x))=1
Therefore , we can say that f(g(x)) and g(f(x)) are inverse of each other.
To know more about Inverse of a function Visit:
https://brainly.com/question/2541698
#SPJ4
how to draw the horizontal alignment for the curve on that
shap on 12D ?
To draw the horizontal alignment for the curve on that shape on 12D, follow these steps:
Step 1: First of all, we have to determine the horizontal alignment for the curve. The horizontal alignment consists of a series of tangents, curves, and spirals.
Step 2: After that, we have to select the appropriate curve radius for the design speed, the superelevation, and the allowable sight distance.
Step 3: Next, plot the vertical curves with the curve layout. A design speed of 50 mph and a curve radius of 1200 ft will be used in this example.
Step 4: Next, we have to calculate the curve length using the formula Lc = Rθ. Here, Lc is the curve length, R is the radius, and θ is the curve angle. In this case, the curve angle is 4 degrees, so the curve length will be 83.775 ft.
Step 5: Then, we will plot the curve using a tangent-tangent-radius (TTR) method. The TTR method involves drawing a tangent to the curve's point of intersection, then drawing another tangent to the next point of intersection, and finally drawing the curve's arc with the given radius. This process is repeated until the curve's entire length is completed.
Step 6: Finally, label the horizontal and vertical curves, including the stationing and curve radius.
That's how we draw the horizontal alignment for the curve on that shape on 12D.
Learn more about shapes: https://brainly.in/question/26253002
#SPJ11
Given: AAED ≈ ABEC and
AC BD.
Prove: AABD≈ ABAC.
Note: quadrilateral properties are not permitted in this
proof.
Step
1
try
Statement
D
AAED ~ ABEC
AC BD
Type of Statement
E
с
Note: AC and DB are segments.
B
Side-Angle-Side (SAS) (SAS), The triangles are congruent if the included angles are also congruent and two sides of one triangle match two sides of another triangle.
How may the ABC def be demonstrated?Side-Angle-Side (SAS) (SAS), The triangles are congruent if the included angles are also congruent and two sides of one triangle match two sides of another triangle.
The use of labels Triangle ABC is congruent to triangle DEF if the angles of triangles ABC and DEF are AB = DE, AC = DF, and A = D.
ABC=CDE: a) in accordance with the conditions BC=CD and AC=CE; b) BCA=m (DCE).
If ABC = CDE, then m(BAC) = m(DEC), and m(ABC) = m (CDE).
If m(BAC)=m(DEC), then AB || DE, or if m(ABC)=m(CDE), then AB || DE.
To learn more about congruent refer to:
https://brainly.com/question/30094441
#SPJ1
In the average household, the tv is on for 6. 75 hours a day. How many hours will have passed after 77. 7 years?.
the answer is 524.47500
can u sub 2 my channel its Raging Sushi and can u like the only video there is
someone help please
Answer:
b
Step-by-step explanation:
102.4..... you're right
Answer:
the answer is 102.4
Step-by-step explanation:
A circle has a radius of 7 in. Find the radian measure of the central angle 0 that intercepts and arc of length 15 in.
Do not round any intermediate computations, and round your answer to the nearest tenth.
The measurement of the central angle is 2.15 radians.
What is central angle?
The central angle is a circle-shaped angle with two arms and a vertex in the centre. The circle's arc is intersected by the two arms of the circle's two radii twice. The central angle can be used to divide a circle into sectors.
Given:
The radius of the circle is 7 in
Length of the arc = 15 in
For solving the problem we followed the formula given below
s = rθ
s is the length of arc, θ is the central angle, and r is the radius of the circle.
So, 15 = 7θ
Or, θ = 15/7
Or, θ = 2.142 radians ≈ 2.15
Hence, the measurement of the central angle is 2.15 radians.
To learn more about central angle from the given link
https://brainly.com/question/10945528
#SPJ1
What is the algebraic expression for the difference between seven times a number and three times that number?
Given
An algebraic expression is the difference between seven times a number and three times that number.
To find:
The algebraic expression.
Solution:
Let x be the unknown number.
Multiplication is used for times and subtraction is used for difference.
7 times of a number = 7x
3 times of that number = 3x
The difference between seven times a number and three times that number is
\(Difference = 7x-3x\)
\(Difference =4x\)
Therefore, the algebraic expression for the given statement is 7x-3x and its simplified form is 4x.
Answer:
I got you covered, friend!
the answer you want is 7x-3x
Step-by-step explanation:
7x-3x means the difference between seven times a number (x) and three times that number (also x)
have a great day
brainliest?! plzzzzzzzzzzz
Answer:
F
Step-by-step explanation:
she spins it 2 times and there's 4 different spinners on the board
there's 1 * on the board so
* = 1/4
there's 1 & on the board so
& = 1/4
its 1/4 for both
so 1/4 + 1/4 = 2/8 or .25
2/8 = 1/4
Answer:
f
Step-by-step explanation:
1.
Caroline and Anusha want to track the cost of ice cream at their local ice cream
shop, Rhody's Ice Cream, based on how many scoops of ice cream they buy.
Because they are recurring customers, they pay a monthly fee of $2, whether or
not they buy ice cream that month. Last month, Anusha paid $4 for 3 scoops of ice
cream. Two months ago, Caroline paid $7 for 4 scoops of ice cream. What linear
equation can we use to describe this relationship? Let the x-axis be the amount of
scoops, and the y-axis be the cost.
By answering the presented question, we may conclude that As a result, the linear equation describing the link between the number of scoops and the cost is as follows: y = (-5/12)x + (16/3)
what is slope?The slope of a line indicates how steep it is. The term "gradient overflow" refers to a mathematical equation for the gradient (the change in y divided by the change in x). The slope is defined as the ratio of the vertical change (rise) between two places to the horizontal change (run). The slope-intercept form of an equation is used to express a straight line's equation, which is written as y = mx + b. The y-intercept is found where the slope of the line is m, b is b, and (0, b). For example, the slope and y-intercept of the equation y = 3x - 7 (0, 7). The slope of the line is m. b is b at the y-intercept, and (0, b).
To get the linear equation describing the link between the number of scoops and the price,
slope = (Anusha's scoops minus Caroline's scoops) / (Anusha's scoops minus Caroline's scoops)
slope = ((4/3) - (7/4)) / (3 - 4)
slope = (-5/12)
y - y1 = m(x - x1) (x - x1)
where m is the slope and (x1, y1) is a line point. At a point on the line, we can utilise either Anusha's or Caroline's data. Let's look at Caroline's data:
y - 7 = (-5/12)(4) (4)
y - 7 = (-5/3)
y = (-5/3) + 7 = (16/3)
As a result, the linear equation describing the link between the number of scoops and the cost is as follows:
y = (-5/12)x + (16/3)
where y is the price and x denotes the number of scoops.
To know more about slope visit:
https://brainly.com/question/3605446
#SPJ1
PLEASE SOMEONE ANSWER THIS ASAP!!!
Given the geometric sequence with the first three terms shown below, answer the following questions.
4,-8, 16,...
Write the explicit formula for this sequence.
What is the 12th term of the sequence?
PLEASE ANSWER I HAVE AN IMAGE INCLUDED IF NEEDED !!
Step-by-step explanation:
r = -8/4 = -2
t1 = 4
the general formula :
tn = t1. r^(n-1)
tn = 4. (-2)^(n-1)
t12 = 4. (-2) ^(12-1)
= 4. (-2)^11
= 4. (-2,048)
= - 8,192
What is the radius of a circle whose equation is x2 y2 8x â 6y?
The radius of a circle with equation is x² + y² + 8x - 6y + 21 = 0 is 2 units .
In the question ,
it is given that ,
the equation of circle is ⇒ x² + y² + 8x - 6y + 21 = 0 ,
we know that the general equation of the circle is x²+y²+2fx+2gy+c=0
so , the radius of the circle is calculated using the formula ,
radius = √(f² + g² - c)
On comparing the given equation with general equation
we get , the values of f as 4 and g as -3 .
So after substituting the values of f , g and c in the radius formula ,
we get ,
radius = √(16 + 9 - 21)
= √(16 + 9 - 21)
= √(25 - 21)
= √(4) = 2 .
Therefore , the radius of given circle is 2 units .
The given question is incomplete , the complete question is
What is the radius of a circle whose equation is x² + y² + 8x - 6y + 21 = 0 ?
Learn more about Circles here
https://brainly.com/question/5720980
#SPJ4
Given the following sections: 1 Hour, 33 Minutes, 19 Seconds Station 2+020 Station 2+080 Base for cut =12 m, Sideslope for cut = 1.5:1 Base for fill =12 m, Sideslope for fill = 2:1 Required: 1. What is the stationing of the end of excavation? 2. Find the volume of fill by end area method. 3. Compute the volume of excavation by end area.
The stationing of the end of the excavation is Station 2+080.
The volume of fill by end area method is 1440 cubic meters.
The volume of excavation by end area is 1080 cubic meters.
We have,
The stationing of the end of excavation can be determined by adding the given sections to the starting station.
Assuming the starting station is Station 2+020, the end of excavation would be at Station 2+080 (given as Station 2+020 + 60 meters).
To find the volume of fill by end area method, we need to calculate the area of the end section and multiply it by the distance between the start and end stations.
Given that the base for fill is 12 meters and the sideslope for fill is 2:1, the area of the end section can be calculated as follows:
Area of end section = (Base for fill) * (Sideslope for fill)
Area of end section = 12 * (2/1) = 24 square meters
Now, multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of fill:
Volume of fill = Area of end section * Distance
Volume of fill = 24 * 60 = 1440 cubic meters
Therefore, the volume of fill by end area method is 1440 cubic meters.
Similarly, to compute the volume of excavation by end area, we calculate the area of the end section (base for cut * sideslope for cut) and multiply it by the distance between the start and end stations. Given that the base for cut is 12 meters and the sideslope for cut is 1.5:1, the area of the end section can be calculated as follows:
Area of end section = (Base for cut) * (Sideslope for cut)
Area of end section = 12 * (1.5/1) = 18 square meters
Multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of excavation:
Volume of excavation = Area of end section * Distance
Volume of excavation = 18 * 60 = 1080 cubic meters
Therefore, the volume of excavation by end area is 1080 cubic meters.
Thus,
The stationing of the end of the excavation is Station 2+080.
The volume of fill by end area method is 1440 cubic meters.
The volume of excavation by end area is 1080 cubic meters.
Learn mroe about earthwork constructions here:
https://brainly.com/question/25749167
#SPJ4
6. suppose that x is an exponential random variable with mean 1. give another random variable that is negatively correlated with x and that is also exponential with mean 1.
If we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.
Let Y = 2 - X, where X is an exponential random variable with mean 1.
To show that Y is negatively correlated with X, we need to show that Cov(X,Y) < 0.
Cov(X,Y) = E[XY] - E[X]E[Y]
Since X and Y are both exponentially distributed with mean 1, we have:
E[X] = 1, E[Y] = 2 - E[X] = 1
E[XY] = E[X(2-X)] = 2E[X] - E[X^2] = 2 - Var(X)
Var(X) = E[X^2] - (E[X])^2 = 1 - 1^2 = 0
Therefore, Var(X) = 0, which means that E[XY] = 2, and Cov(X,Y) = E[XY] - E[X]E[Y] = 2 - 1*1 = 1 > 0.
Since Cov(X,Y) > 0, we know that Y is positively correlated with X. To find a random variable that is negatively correlated with X, we can use Y = 3 - X instead.
Therefore, if we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.
Learn more about variable here:
https://brainly.com/question/29696241
#SPJ11