Answer:
A=3
Step-by-step explanation:
-7a+28=7
subtract 28 from both sides to eliminate it from the first side
-7a=-21
Two negatives equals a positive
7a=21
divide both sides by 7
a=3
Calculate the slope between the points (4,5) and (7,9).
a
m=-3/4
b
m=-4/3
С
m=4/3
m=3/4
Answer:
m = 4/3
Step-by-step explanation:
Slope of line is given by
m = (y2-y1)/(x2-x1)
where
(x1,y1) and (x2,y2) are the two points on coordinate plane.
__________________________________________
Given points
(4,5) and (7,9)
using the above formula to find slope and plugging in the given points value
we have,
slope m = (9-5)/(7-4)
m = 4/3
Thus, slope between the points (4,5) and (7,9) is m = 4/3. The third option.
Given the passage, what determination can you make about the setting? How does the setting affect Jonathan’s behavior?
Answer: the area is affected by crime. He is protective of his money. Both right on edge
Step-by-step explanation:
Answer: a b
Step-by-step explanation:
I need help on this question please
Answer:
(2x+2)+(x+34)=180°[by linear pair]
3x+36=180°
3x=180°-36°
3x=144
x=144/3
x=48
Please help me solve this
Solve for x. Round your answer to the nearest tenth and type it in the blank without units.
The opposite side of the right triangle (x) is approximately 6.888 inches long.
Right angle triangleTo solve this problem, we can use the trigonometric ratio for the sine function, which is opposite/hypotenuse. We have the hypotenuse as 12 inches and the opposite angle as 35 degrees, so we can set up the equation:
sin(35) = opposite/12
To solve for the opposite, we can multiply both sides by 12:
opposite = 12 * sin(35)
sin(35) as approximately 0.574:
opposite = 12 * 0.574
opposite ≈ 6.888
Therefore, the opposite side of the right triangle (x) is approximately 6.888 inches long.
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Solve the equation. -1 + x = -10 x =
Answer:
-1
Step-by-step explanation:
on monday at the county fair jared played a game and won 75 tickets . On Tuesday he won 105 tickets on wednesday , he won 127 tickets but then spent 250 of them on a prize . how many more tickets does jared need to win to get a prize that costs 150 tickets ?
Answer:93
Step-by-step explanation:75+105+127=307
307-250=57
150-57=93
The graphs below have the same shape. What is the equation of the blue graph?
Answer:
B
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
g(x) is f(x) shifted 3 units right and 1 unit up , then
g(x) = (x - 3)² + 1 → B
Answer:
The equation of the blue graph is \(g(x)=(x-3)^{2} +1\). Below is the explanation
Step-by-step explanation:
Given:
The graph of f(x)=\(x^{2}\)
To find:
The equation of the transformed graph g(x).
The red graph f(x) is moved right 3 units and up 1 unit to get g(x).
When graph is moved right 3 units , 3 should be subtracted with x.
When graph is moved up 1 unit, 1 is added at the end.
So, our g(x)=\((x-3)^{2} +1\)
The equation of the blue graph is \(g(x)=(x-3)^{2} +1\)
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A continuous random variable is a random variable: A. that is derived from a random population B. whose values are countable C. that is determined by random probability D. that can assume any value in one or more intervals
Which lists the ratios in order from greatest to least?
23:24, 11:12, 7:8
23:24, 7:8, 11:12
7:8, 23:24, 11:12
7:8, 11:12, 23:24
PLS HELP, ITS DUE VERY SOON
Answer:
A the first one
Step-by-step explanation:
hope this helps
The table shows that the total cost of a ride-sharing trip, y, is a function of the distance traveled, z.
■ What is the rate of change and what does it mean?
2; the ride costs $2 per mile.
43; the ride costs $3 per mile.
< 2; it costs $2 as soon as you start the ride.
43; it costs $3 as soon as you start the ride.
Distance (mi), z Total Cost ($). y
2
5
8
11
14
0
1
2
3
4
The rate of change, based on y is a function of the distance traveled, z, and what it means is B. The ride costs $3 per mile.
What is the rate of change?The rate of change is the unit rate or the slope.
The rate of change also refers to the variable cost per unit.
The variable cost can be differentiated from the fixed cost since it varies according to the quantity involved.
Distance (mi), z Total Cost ($) y Rate of Change
0 2 $0
1 5 $3 ($5 - $2)
2 8 $3 ($8 - $5)
3 11 $3 ($11 - $8)
4 14 $3 ($14 - $11)
The Rate of Change = The Slope = Rise/Run = ($5 - $2)/(1 - 0)
Thus, based on the total cost of a ride-sharing trip, the unit rate is $3 per mile.
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A color printer prints 13 pages in 8 minutes How many pages does it print per minute
Answer: 13/8 or 1.625
Step-by-step explanation:
Factor the binomial completely. x2−81
Answer:
(x - 9)(x + 9)
Step-by-step explanation:
x² - 81 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), then
x² - 81
= x² - 9²
= (x - 9)(x + 9)
A cyclist rides 8.4 km east for 21.1 minutes, then he turns and heads west for 63 km in 69 minutes. Finally, he rides east for 14.3 km, hich takes 33.A minutes. Take east to be the positive direction. 50% Part (a) What is the displacement of the cyclist in km ? d= Hinss: 25 deduction per hint. Hins remainiage: 1 Ferdbacke 25 Geduction per feciback.
The displacement of the cyclist is 40.3 km west. To find the displacement of the cyclist, we need to consider the net effect of the individual displacements in each direction.
The cyclist rides 8.4 km east, then 63 km west, and finally 14.3 km east. The displacement is the vector sum of these individual displacements.
The total displacement in the east direction is 8.4 km + 14.3 km = 22.7 km.
The total displacement in the west direction is 63 km.
To find the net displacement, we subtract the west displacement from the east displacement:
Net displacement = 22.7 km - 63 km = -40.3 km (west)
Therefore, the displacement of the cyclist is 40.3 km west.
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For the 2021 Las Vegas Charity Bike-A-Thon, Slow Joe's donators pledged a combined total of
$93. 15 for every mile Joe traveled from start to finish. Slow Joe rode his bike exactly
4 moltIply
of the
un
course before calling it quits. How much did money did Slow Joe raise for his charity? How
much morè monèy did Joe raise than Fast Freddy (who raised $42. 70 per mile and traveled
20% of the course? You may use a calculator, but show all steps. Each square represents 25
square miles
When the total amount raised by Slow Joe was subtracted from the total amount raised by Fast Freddy, the difference was $329.90. Therefore, Slow Joe raised $329.90 more than Fast Freddy.
Slow Joe raised $372.60 for charity.
Slow Joe raised $329.90 more than Fast Freddy.
Steps:
Slow Joe: 93.15 x 4 miles = 372.60
Fast Freddy: 93.15 x (4 x 0.2) = $37.26
Difference: 372.60 - 37.26 = $329.90
Slow Joe raised $372.60 for charity by riding 4 miles of the course for the 2021 Las Vegas Charity Bike-A-Thon. This was accomplished by Slow Joe's donators pledging a combined total of $93.15 for every mile Joe traveled from start to finish. In comparison, Fast Freddy raised $42.70 per mile for traveling 20% of the course. To calculate the difference between the two, Slow Joe's total was calculated by multiplying the amount per mile by the number of miles traveled (93.15 x 4 = 372.60). Fast Freddy's total was calculated by multiplying the amount per mile by the percent of the course traveled (93.15 x (4 x 0.2) = 37.26). When the total amount raised by Slow Joe was subtracted from the total amount raised by Fast Freddy, the difference was $329.90. Therefore, Slow Joe raised $329.90 more than Fast Freddy.
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The height of a trapezoid is 4 in. And its area is 48 in 2. One base of the trapezoid is 6 inches longer than the other base. What are the length of the bases? Complete the explanation on how you found your answer
Answer:
9 inches and 15 inches
Step-by-step explanation:
The height of a trapezoid is 4 in.
Its area is 48 in^2.
Let a be one base and b be the second base.
One base is 6 inches longer than the other. This implies that:
a = 6 + b _________ (1)
The formula for the area of a trapezoid is given as:
\(A = \frac{1}{2}(a + b)h\)
where h = height
From (1), we have that:
\(A = \frac{1}{2}(6 + b + b )h\\ \\A = \frac{1}{2}(6 + 2b )h\)
We have that h = 4 and A = 48 in^2, therefore:
\(48 = \frac {1}{2}(6 + 2b) * 4\\ \\96 = 24 + 8b\\\\8b = 96 - 24 = 72\\\\b = 72 / 8 = 9 in\)
=> a = 6 + 9 = 15 in
The bases are 9 inches and 15 inches long.
find two unit vectors that make an angle of 60° with v = 8, 6
The two unit vectors are (2/5 +√5/10, 3/10 + 2√5/15) and (2/5 -√5/10, 3/10 - 2√5/15).
Given that, Angle = 60°, v = 8, 6
Consider unit vector a = (x, y)
x² + y² = 1 …. (1)
Now apply the dot product of unit vector with v
a.v = |a||v|cos Ø
a.v = √ (x² + y²) √ (8² + 6²) cos 60º
8x + 6y = 1 × 10 × ½
So we get,
8x + 6y = 5 …. (2)
y = (5 - 8x) / 6
Substituting the value of y in equation (1)
x² + y² = 1
x² + [(5 - 8x)/6]² = 1
x² + 25/36 + 16x²/9 - 20x/9 = 1
25x²/9 - 20x/9 = 11/36
So we get,
4 × (25x² - 20x) = 11
100x² - 80x = 11
100x² - 80x - 11 = 0
Now solve the quadratic equation,
x = { 2/5 ± √5/10}
Substituting the value of x in equation (2)
y = 3/10 ± 2√5/15
Therefore, the two unit vectors are (2/5 +√5/10, 3/10 + 2√5/15) and (2/5 -√5/10, 3/10 - 2√5/15).
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The functions s(V)=3v describes the side lengths, in units, of a cube with the volume of V cubic units
Answer:
\(s(v) \ge 4\)
Step-by-step explanation:
Given
\(s(v) = \sqrt[3]{v}\)
\(v = 64\) ---- minimum
Required
The range of s
s represents the side length of the cube.
So, first we solve for s in \(s(v) = \sqrt[3]{v}\)
Substitute \(v = 64\)
\(s = \sqrt[3]{64}\)
\(s = 4\)
This means that \(s = 4\) when \(v = 64\)
In other words, the minimum value of s is 4
Hence, the range is:
\(s(v) \ge 4\)
The sum of the areas of two circles is 100π square centimeters. the length of a radius of the larger circle is 2 centimeters more than the length of a radius of the smaller Circle. find the length of a radius of each circle.
The length of a radius of each circle is 6 centimeters and 8 centimeters.
Let the radius of the smaller circle be r centimeters. Then the radius of the larger circle is r + 2 centimeters. The sum of their areas is given by:
πr² + π(r + 2)² = 100π
Expanding and simplifying the equation:
r² + (r + 2)² = 100
r² + (r² + 4r + 4) = 100
Combining like terms:
2r² + 4r - 96 = 0
Divide the equation by 2:
r² + 2r - 48 = 0
Now, we factor the quadratic equation:
(r - 6)(r + 8) = 0
This gives us two possible solutions for r: r = 6 or r = -8. Since the radius cannot be negative, the radius of the smaller circle is 6 centimeters. Therefore, the radius of the larger circle is r + 2 = 6 + 2 = 8 centimeters.
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Help please! All guesses get reported! Answer gets brainliest!
Answer:
A - 36 in.
b - 8
Step-by-step explanation:
A - You marked all of it right! 10 + 10 + 10 + 6
B - The teeth are only on half of the circle that hit the chain. 10 inches of chain for the big wheel, so 1/2 of 10 is 5. Same thing for the little wheel, 1/2 of 6 is 3, and 5+3 = 8, so about 8!
For the following right triangle, find the side length x. Round your answer to the nearest hundredth. X, 18, and 10
Answer:
152
Step-by-step explanation:
All segments in a triangle add to 180. 1
8+10+x=180
x=152
The length x using Pythagoras theorem is 15 unit.
What is Pythagoras theorem?According to the Pythagorean theorem, the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides.
Given:
Hypotenuse = 18 unit
Perpendicular = 10 unit
using Pythagoras theorem
H² = P² + B²
18² = 10² + B²
324 = 100 + B²
324 - 100 = B²
B² = 224
B= 14.966 unit
B= 15 unit
Thus, the measure for x is 15 unit.
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How many solutions does the system of equations x − y = −4 and y equals the square root of the quantity 2 times x plus 3 end quantity minus 2 have? infinitely many 0 1 2
The solution for the system of equations x - y = - 4 and y = \(\sqrt{2x+3}\) - 2 is 0.
How to find solution for the system of equations?System of equations can be solved by many method, this time we use quadratic equation method.
The given equation is x - y = -4 and y = \(\sqrt{2x+3}\) - 2, so we can substitute the y.
x + 4 = y => x + 4 = \(\sqrt{2x+3}\) - 2
Then we substitute the all possible value,
x + 4 + 2 = \(\sqrt{2x+3}\\\)
x + 6 = \(\sqrt{2x+3}\\\)
Next, we can square both side. So,
x^2 + 12x + 36 = 2x + 3
The we can substitute the value,
x^2 + 10x + 33
Since the 33 is prime number, we can't solve this. Also if we calculate the discriminant value with get the result under 0 which it mean there is no have a real solution.
Discriminant (D) = b^2 - 4ac
= 10^2 - 4(1)(33)
= 100 - 132
= -32.
Thus, the solution for that system of equations is 0.
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A hair dryer has a resistance of 11. 5. What current does it conduct when it is plugged into a wall outlet that provides 120 V? 0. 10 A 10. 4 A 109 A 1380 A.
The current it conduct when it is plugged into a wall outlet that provides 120 V is 10.4A
Ohms lawThe current passing through a conductor is proportional to the potential difference. Mathematically;
V = IR
where
V is the voltage = 120V
R is the resistance = 11.5 ohms
Required
Current I
Substitute
I = V/R
I = 120/11.5
I = 10.4A
Hence the current it conduct when it is plugged into a wall outlet that provides 120 V is 10.4A
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How do i solve this.
Let us set up some variables:
L: LengthW: WidthNow let us set up some equations based on the facts:
length of rectangle is 4 times its width --> L = 4Wperimeter of rectangle is 80 --> 2L + 2W = 80Equations:
L = 4W -- equation 1
2L + 2W = 80 -- equation 2
Plug the value of L from equation 1 into equation 2
2(4W) + 2W = 80
8W + 2W = 80
10W = 80
W = 8 -- equation 3
Plug the value of W from equation 3 into equation 1:
L = 4W = 4 * 8 = 32
Therefore the length is 32 and the width is 8.
Hope that helps!
solve 9+4g-6=-3+4g+6
Answer:
0=0
Step-by-step explanation:
27. Must the difference between two rational numbers be a rational number?
Explain.
Answer:
a rational is a fraction or decimal or percent
Step-by-step explanation:
9. Write the number in place value table of 820245
Answer:
Hello! The answer to your question will be below.
Step-by-step explanation:
Attached below....
Number form:820,245
Word form: eight hundred twenty thousand two hundred forty-five
Expanded form: 800,000+20,000+0+200+40+ 5
Place value chart below!!
Hope this helps! :)
⭐️Have a wonderful day!⭐️
define properties of angles on a straight line
Answer:
In geometry, a straight angle is an angle, whose vertex point has a value of 180 degrees. Basically, it forms a straight line, whose sides lie in opposite directions from the vertex. It is also termed as “flat angles”.
Show the steps for simplifying the following:
Please please answer ASAP
Answer:
12 upon 30 is the write answers I think and it would help you