what is the slope of the line that passes through (2,5) and (-3,15)
Answers
Answer:
The slope is -2, or -2/1.
Step-by-step explanation:
\(m = \frac{15 - 5}{ - 3 - 2} = \frac{10}{ - 5} = - 2 = - \frac{2}{1} \)
Related Questions
Please help me with this I need the help
Answers
If I work 15% longer than my normal 40 hours work schedule how many hours do I work this week
Answers
Answer:
46 or even 42 could be the answer
Step-by-step explanation:
i could be incorrect
factor and solve
x^2-4x=5
Answers
Let’s solve the equation x^2 - 4x = 5 by factoring:
First, we’ll move all the terms to one side of the equation:
x^2 - 4x - 5 = 0
Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:
(x - 5) (x + 1) = 0
Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:
x - 5 = 0 or x + 1 = 0
Solving each equation separately, we find that x = 5 or x = -1.
So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.
The student council has $289 to spend on decorations for the fall festival. If decorations for each table cost $13, how many tables can they decorate?
Answers
answer:
22 tables
explanation:
you have to divide on this one!
so,
13 divided by 289 is:
22
so,
the student council can decorate:
22 tables!
hope this helped! <3 i answered your question & hope you have a great day! if you wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)
Which statement describes the relationship between x
and y?
As x increases, y decreases.
QAs x increases, y increases.
O As x increases, y increases and then decreases.
As x increases, y decreases and then increases.
Answers
Answer:
1.) inverse proportion : 1kx = y
2) direct proportion. y = kx
2^(2t)-12(2^(t))+32=0
Answers
Answer:
t = 2 and t = 3.
Step-by-step explanation:
To solve the equation 2^(2t) - 12(2^t) + 32 = 0, we can use a substitution to simplify the equation. Let's set u = 2^t:Substituting u = 2^t, the equation becomes:u^2 - 12u + 32 = 0Now we have a quadratic equation in terms of u. We can solve it by factoring or using the quadratic formula. Let's try factoring:(u - 4)(u - 8) = 0Setting each factor equal to zero, we have:u - 4 = 0 or u - 8 = 0Solving for u:u = 4 or u = 8Now, substitute back u = 2^t:For u = 4:
2^t = 4Taking the logarithm base 2 of both sides:
t = log2(4)
t = 2For u = 8:
2^t = 8Taking the logarithm base 2 of both sides:
t = log2(8)
t = 3
Find the height of the trapezoid.
7 m
Area = 51 m2
10 m
Answers
h = 2 A/a+b = 2 51/10+7 = 6
Use the graph to answer the question
Determine the line of reflection
Reflection across the X-axis
Reflection across the x = 4
Reflection across the y = -5
Reflection across the y-axis
Answers
When thinking about lines of reflection, imagine that there exists a mirror and your trying to guess the location of the mirror on the xy plane. It will have to be located on horizontal line where y is -5. So your line of reflection is y = -5.
What values of b satisfy 3(2b + 3)² = 36?
Answers
Answer:
The values of b that satisfy the equation are:
b = (2√3 - 3) / 2
b = (-2√3 - 3) / 2
In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.
Step-by-step explanation:
To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:
1. Divide both sides of the equation by 3:
(2b + 3)² = 12
2. Take the square root of both sides:
√[(2b + 3)²] = √12
Simplifying further:
2b + 3 = ±√12
3. Subtract 3 from both sides:
2b = ±√12 - 3
4. Divide both sides by 2:
b = (±√12 - 3) / 2
Simplifying further:
b = (±√4 * √3 - 3) / 2
b = (±2√3 - 3) / 2
Therefore, the values of b that satisfy the equation are:
b = (2√3 - 3) / 2
b = (-2√3 - 3) / 2
In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.
Melinda ate 3/5 of the cookies and left the rest for Suzanne. What fraction of the cookies are left for Suzanne?
Answers
The fraction of cookies left for Suzanne will be equal to 2/5 of the total number of cookies.
What is fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. Example - 5/9. Here, (5) is called numerator and (9) is called denominator.
Given is Melinda who ate 3/5 of the cookies and left the rest for Suzanne.
Assume that the fraction of cookies left for Suzanne is represented by [x].
Fraction of cookies ate by Melinda = [y] = 3/5
The sum of the fractions representing the cookies eaten by both Suzanne and Melinda will be equal to 1. Mathematically -
x + y = 1
x + 3/5 = 1
x = 1 - 3/5
x = (5 - 3)/5
x = 2/5
Therefore, the fraction of cookies left for Suzanne will be equal to 2/5 of the total number of cookies.
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In APQR p:q:r = √3:1:1, Calculate the ratio P:O: Rin its simplest form. [WA
Answers
According to the given information, the ratio P:O:R is 2√3 : 1 : 2 in its simplest form.
What is the ratio and proportion ?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there are 3 girls).
According to the given information :Since p:q:r = √3:1:1, we can write:
p = √3x
q = x
r = x
where x is a common factor.
We can see that triangle ABC is a 30-60-90 triangle with angle A = 60 degrees, and that angle BOC is a right angle. Therefore, we can use the ratios of sides in a 30-60-90 triangle to find the values of P, O, and R:
P = AB = p = √3x
O = BC/2 = q/2 = x/2
R = AC = r = x
Therefore, the ratio P:O:R is:
P:O:R = √3x : x/2 : x
We can simplify this ratio by multiplying all terms by 2 to get rid of the fraction:
2√3x : x : 2x
We can further simplify by dividing all terms by x:
2√3 : 1 : 2
Therefore, according to the given information, the ratio P:O:R is 2√3 : 1 : 2 in its simplest form.
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The Alden Middle School girls' soccer team won 80% of its games this season.If the team won 12 games,how many games did it play? Solve the problem using at least two different methods.
Answers
The answer fam is..... They played 15 games
HELP ME PLZ
Determine the measure of each numbered angle.
365
2.
3
4.
40°
5
20°
6
Answers
Answer:
1=50
2=130
3=50
4=130
5=40
6=30
Step-by-step explanation:
Remember a straight line is 180 degrees and the interior of a triangle always equals to 180 degrees
Hope this Helped! :D
What is the constant up a proportionally in a equation y=x/g
Answers
Answer:
Step-by-step explanation:
\(y=(\frac{1}{g} )x\)
Constant up a proportionally is \(\frac{1}{g}\).
A number between 10 and 100 is four times the sum of its digits. If the product of two digits is 8, find the sum of digits of the number.
Answers
Answer:
24 is the number. The sum of its digits is 6.
Step-by-step explanation:
There are four two-digit numbers the product of whose digits is 8: 18, 24, 42, and 81. Of these numbers, 24 is four times the sum of its digits:
24 = 4 × 6 = 4 × (2 + 4)
Solve for x. (RIGHT ANSWER WILL GET BRAINLIEST)
Answers
Answer:
67
Step-by-step explanation:
The angle with x in it is a vertical angle to the other one labeled & the right angle put together.
Therefore:
48 + 90 = 2x + 4
Solve for x:
138 = 2x + 4
138 - 4 = 2x + (4-4)
134 = 2x
134/2 = 2x/2
X = 67
Hope this helps! Have a great day!
Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answers
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
What does the notation P(B|A) mean? Question content area bottom Part 1 Choose the correct answer below. A. The probability of event B occurring, given that event A has occurred B. The probability of event B occurring, divided by the probability of event A occurring C. The probability of event A occurring, given that event B has occurred D. The probability of both event A and event B occurring
Answers
Answer:
A. The probability of event B occurring, given that event A has occurred
Step-by-step explanation:
Conditional probability
A probability is conditional if is depends on what has already happened.
The probability that event B happens, given that event A has already happened is "B given A" or P(B | A)
Therefore, P(B | A) means "The probability of event B occurring, given that event A has occurred"
Additional information:
P(A | B) means "A given B", i.e. the probability of event A occurring, given that event B has occurred
P(A ∩ B) means the probability of event A and event B both happening.
Nicks lunch cost $14.75 tax was 1.03 and he left a tip of 2.50 how much did he pay for his lunch
Answers
Answer:
$18.28
Step-by-step explanation:
To complete this problem is a straightforward answer:
First, you add 14.75 + 1.03 which equals $15.78 then, you'll want to add 2.50 to 15.78 and there you have your answer!!
Plz someone help this is urgent brainlest also 18pt
Answers
Answer:
there is no pic
Step-by-step explanation:
The net price equivalent rate of 9 / 15 / 18 is
Answers
Answer:
f so final percentage
= .91(.85)(.82) = .63427
or 63.427% of the original price
Step-by-step explanation:
the diameter of a circle is 24 centimeters. what is the circles area? use 3.14 for pi
Answers
Answer:
452.16
Step-by-step explanation:
di is twice the radius and to get area you need radius so 24/2=12
now insert 12 into the formula 12^2*3.14 now use pemdas
12^2=144
144*3.14
452.16
Answer:
Area of circle = 452.16
Step-by-step explanation:
Conversion of diameter into radius,
→ r = 24/2
→ [ r = 12 ]
Formula we use,
→ Area = π × r²
Now the area of circle will be,
→ π × r²
→ 3.14 × (12)²
→ 3.14 × 144
→ 452.16
Hence, area of circle is 452.16.
14. Find the value of x.
A. x = 18
B. x = 122
C. X = 7.3
D. x = 27.7
(14 + 6x)"
1220
Answers
Which statements are correct? Check all the apply.
Variable d is the independent variable.
Variable h is the independent variable.
The number of hours worked causes a change in the number of dollars earned.
Variable d is the dependent.
The number of dollars earned causes a change in the number of hours worked.
Variable h is the dependent variable.
The more hours are worked, the fewer dollars that are earned.
Answers
Answer:
Step-by-step explanation:
1) wrong
2) Right
3) Right
4) Right
5) Wrong
6) Wrong
7) Wrong
27,813 students took the ACET this year. If only 2,836 students were admitted into the Ateneo among those students, what is the Ateneo’s acceptance rate? a. 7.5% b. 10.2% c. 13.4% d. 9.0%
Answers
If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.
How the rate is determined:The rate is the ratio of one value, expression, measurement, or quantity compared to another.
The rate represents the quotient of the numerator and the denominator.
The rate is expressed as a percentage by multiplication with 100.
The number of students who took the ACET this year = 27,813
The number of students who were admitted into the Ateneo = 2,836
The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)
= 10.2%
Thus, we can conclude that the acceptance rate or percentage is Option B.
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Ms. Chung drives the same distance to go to work every Monday through Friday. On Saturday she drove g the distance she drives to work. The distance she drove on Saturday was 0.9 miles. Part A: In the first box, enter an equation to represent the distance, d, that Ms. Chung drives to work. Part B: In the second box, enter the distance Ms. Chung drives to work.
Answers
A) The algebraic expression will be 12d + 7 = 91
B) He drives 7 miles per day to work.
For 11 days straight, Ms. Chung drove the same distance every day going to and coming from work.
The distance she drove on Saturday was; 0.9 miles.
The number of miles she drives per day:
84 miles/12
= 7 miles per day
Let the number of miles she travels be day = d
12d + 7 = 91 miles
12d + 7 = 91
12d = 91 - 7
12d = 84
d = 84/12
d = 7 miles per day
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Use the graph to write a linear function that relates y to x
Answers
Answer:
y = 4/3x +2
Step-by-step explanation:
The graph crosses the y-axis at y=2, so that is the y-intercept.
The points have a rise of 4 units for each horizontal run of 3 units, so the slope is ...
m = rise/run = 4/3
The slope-intercept equation for the line is ...
y = mx +b . . . . . . line with slope m and y-intercept b
y = 4/3x +2
Choose the best multiple choice option below! Thanks in advance!
Answers
Answer:
Q5. D, Q6. D, Q9. B.--------------------
Question 5The range of the given function has one restriction, its denominator can't be zero, hence:
3x + 4 ≠ 0 ⇒ 3x ≠ - 4 ⇒ x ≠ - 4/3Therefore the function can get any value but zero:
y ≠ 0The matching answer choice is D.
Question 6Linear function is f(x) = mx + b.
Reciprocal of a function f(x) is 1/f(x).
So the reciprocal of linear function has a form of f(x) = 1 / (mx + b).
The only answer choice in same form is D.
Question 9Substitute x = - 5/3 into function to get:
\(f(x)=\cfrac{1}{3*(-5/3)+5} =\cfrac{1}{-5+5} =\cfrac{1}{0}\)This is undefined value, therefore it represents the vertical asymptote.
The function gets close to - ∞ when x → - 5/3 from left and gets close to +∞ when x → - 5/3 from right (see attached graph).
Therefore the correct choice is B.
A rectangular box with height 2 centimeters has a volume of 50cubic centimeters. The length of the box is 5 more than twicethe width. Find the dimensions of the box. This works with Quadratic Modeling. How do I solve this??
Answers
hello
to solve the question presented here, we need to apply the formula of area and perimeter of a rectangle
height = 2 cm
volume = 50cm^3
length = 5 + 2x
width = x
volume = length * width * height
we can simply plug in the variables and get an equation
\(\begin{gathered} volume=length\times wi\differentialD tth\times height \\ 50=(5+2x)\times x\times2 \\ 50=2x(5+2x) \\ 50=10x+4x^2 \\ 4x^2+10x-50=0 \\ 2x^2+5x-25=0 \end{gathered}\)since we have our quadratic equation, we can proceed to solve through using any of the methods
during the process of this session, i'll use formula method
\(\begin{gathered} 2x^2+5x-25=0 \\ a=2 \\ b=5 \\ c=-25 \\ x=-b\pm\frac{\sqrt{b^2-4ac}}{2a} \\ x=-5\pm\frac{\sqrt{5^2-4\cdot2\cdot(-25)}}{2\cdot2} \\ x=-5\pm\frac{\sqrt{25--200}}{4} \\ x=-5\pm\frac{\sqrt{25+200}}{4} \\ x=-5\pm\frac{15}{4} \\ x=\frac{-5+15}{4}\text{ or x = }\frac{-5-15}{4} \\ x=\frac{10}{4}\text{ or x = -5} \\ x=2.5\text{ or -5} \end{gathered}\)but dimension can't be negative
x = 2.5
width = 2.5cm
length = 5+ 2*2.5 = 10cm
height = 2cm
SOLVE FOR N
3/2 -1/2n= 2n+3
N =
Answers
Answer: n= -3/5 OR n= -0.6
Step-by-step explanation:
exact form and decimal form