a line has a slope of 9/5 if one of the points on the line is (-10, -16), which of the following could be another point on the line?
Answers
Answer:
(0,2) is the answer - Option C.
Step-by-step explanation:
Equation of a line:
The equation of a line, in point-slope form, is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which m is the slope and the point is [tex](x_0,y_0)[/tex]
Slope of 9/5 if one of the points on the line is (-10, -16)
This means that [tex]m = \frac{9}{5}, (x_0,y_0) = (-10,-16)[/tex]. So
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - (-16) = \frac{9}{5}(x - (-10))[/tex]
[tex]y + 16 = \frac{9}{5}(x + 10)[/tex]
Which of the following could be another point on the line?
We have to find a point for values of x and y which gives us an identity. So
Option A:
x = -5, y = -6
Lets see
[tex]-6 + 16 = \frac{9}{5}(-5+10)[/tex]
[tex]10 = \frac{9*5}{5}[/tex]
[tex]10 = 9[/tex] -> False
So this is not the answer.
Option B:
x = 4, y = 11
[tex]11 + 16 = \frac{9}{5}(4 + 10)[/tex]
[tex]27 = 9*14/5[/tex]
False
Option C:
x = 0, y = 2
[tex]2 + 16 = \frac{9}{5}(x+10)[/tex]
[tex]\frac{90}{5} = 18[/tex]
[tex]18 = 18[/tex]
True, so (0,2) is the answer - Option C.
Related Questions
[tex]\frac{5}{12} -\frac{2}{9}[/tex]
Answers
x + 3y >/3
5x + 3y -9
Answers
Answer: 15y -9
Which expression is equivalent to 1/4(5x+6)?
Answer choice :A: (5 1/4x) + (6 1/4x) B: 3/4x + 6/4 - 1/4x C:3/4x + 3/4 + 3/4 + 2/4x D: (1/4x +5) + 1/4x + 6
Answers
9514 1404 393
Answer:
C: 3/4x + 3/4 + 3/4 + 2/4x
Step-by-step explanation:
The various expressions simplify to ...
given: 5/4x +6/4
A: 46/4x
B: 2/4x +6/4
C: 5/4x +6/4
D: 2/4x +11
How would you describe the plants growth? Please help!!!!
Answers
Answer:
increasing
Step-by-step explanation:
it's increasing because throughout the days you can see that the plants growth is slowly progressing in this case going up on the grpah.
What does 11x11-6x6+18=
Answers
Answer:
103
Step-by-step explanation:
Hope this Helps :)
PLEASE EXPLAIN AND PLEASE HELP ME AND EXPLAIN I NEED HELP
Answers
its right because
6 x 5 is the area of the leftmost rectangle
4 x 5 is the area of the bottom rectangle
3 x 5 is the area of the rightmost rectangle
5 x 5 is the area of the slanted square on the top
the last term is the area of the trapezoid, which is (base1 + base2) x height /2
they split the trapezoid thing into a square and a triangle, which gets you the same answer
they multiplied it by 2 because there are 2 trapezoids
determine the domain and range of the function F= {(2,1),(30,-7),(34,1),(54,0)
Answers
Answer:
Domain = 2,30,34,54
Range = 1,-7,1,0
Step-by-step explanation:
Domain = x input
Range = y output
Your function is f(x) = y.
Need the answer for a
Answers
Answer: 6 10
Step-by-step explanation:
Paul paid $663 for a new freezer. He paid for the freezer with his credit card, which has an interest rate of 15.28% compounded monthly, and made monthly payments for five years until the freezer was paid off. He kept the freezer for seven years, and it used an average of $2.14 of electricity per week. Paul made no other purchases or payments with his credit card until the freezer was paid off. Between the interest and the electricity, which component of the lifetime cost of the freezer was greater, and how much greater was it? (Round all dollar values to the nearest cent.)
a.
The interest cost $106.60 more than the electricity.
b.
The interest cost $173.24 more than the electricity.
c.
The electricity cost $489.76 more than the interest.
d.
The electricity cost $115.96 more than the interest.
Answers
Answer:
c
Step-by-step explanation:
The electricity cost $489.76 more than the interest.
Thus, option C is correct.
What is Interest cost?Interest cost is the total measure of interest a borrower pays on an obligation commitment over the existence of the getting. Interest is paid on the obligation notwithstanding reimbursement of head.
The formula will be:
I = A - P
I = 663(1 + 0.1528/12)^(5*12) - 663
I = 663(1 + 0.1528/12)^60- 663
I = 1416.51 - 663
I = $753.51
The bill for electricity for 7 years and 52 weeks per year will be
= 7 x 52 x 2.14
= $778.96
The electricity cost is bigger than the interest:
$778.96 is bigger than $753.51 by $25.45:
$778.96 - $753.51 = $25.45.
Therefore, option C is correct.
Learn more about interest cost, here:
brainly.com/question/29480777
#SPJ5
What is the average rate of change of g(x)=4x+5 ?
Answers
9514 1404 393
Answer:
4
Step-by-step explanation:
The equation is in slope-intercept form:
y = mx +b
where m is the slope (average rate of change).
In the given equation, m = 4.
The average rate of change is 4.
Click this if you are a savage
Answers
Answer:
i am
Step-by-step explanation:
pro!
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10. The graph of linear equations in two variables is a
A. Straight line
B. curve line
D. half line
C. broken line
Answers
A go-karts top speed is 607,200 feet per hour. What is the speed in miles per hour?
Answers
What is the measure of
Answers
And the last one is 40
Answer:
30
Step-by-step explanation:
because 3 times 30 is 90,and 2 times 30 is 60 plus 30 would be equal to 180
What is 18×10^20.
I really want to know what 10^20 is i can do the rest on my own- I need a real number, not 1e+20.
Answers
Answer:
1,800, 000, 000 ,000, 000 ,000, 000
simplified:
1.8e+21
Step-by-step explanation:
when it says 1e+20 that means there is 20 zeroes behind it:
100, 000, 000 ,000, 000 ,000, 000
Have a nice day!
Dividing whole numbers
Answers
Answer:
137.8
when round of:138
Answer:
137.8
Step-by-step explanation:
Can't really break it down further than this.
To find simple interest, you multiply the principal (in dollars), the interest rate (as a decimal), and the time in years.
The equation 22.80 = 300 •019•4 shows how to find the simple interest for a certain account after 4 years. What
is the interest rate (as a percent)? How much is the simple interest? What is the principal?
What is the interest rate (as a percent)?
A. 1.9%
B. 22.80%
C. 0.019%
D. 300%
Answers
Here we have $400 originally and it is invested at an interest rate of 0.015 for 4 years.
Therefore we can say that the interest rate is 0.015 * 4 * 100 = 6% for the 4 years.
Simple interest is 6% / 4 = 1.5%.
And the principal is $400.
test.mapnwea.org
Use the information to answer the question.
A spinner had 5 equal sections, labeled A through E. After 100 spins, the spinner had landed on section A a total of 45 times.
Which two reasons would best explain why the expected probability and observed probability did not match?
A. The surface of the spinner was not even.
B. The speed of each spin was not consistent.
c. The size of each spinner section was equal.
D. The number of spins did not match the number of sections.
O A. The surface of the spinner was not even
UB. The speed of each spin was not consistent.
c. The size of each spinner section was equal.
UD. The number of spins did not match the number of sections.
Answers
Sorry hindi ko alam yan i
A cyclist travels at an average speed of 15 mph for 4 hours. How far did she travel in miles?
Answers
Answer:
60 miles per hour
Step-by-step explanation:
15 mph (miles per hour) and he traveled for 4 hours so 15 per hour times 4 which is 60 and thats your answer
Your boss sends you to the hardware store to buy tie down rope. He tells you to buy the best deal. What is the savings per unit between the best deal and worst deal?
Answers
Answer:
Explain more
Step-by-step explanation:
You need to explain more like add an image or tell us how much much money is a rope.
Evaluate. 4^3⋅(100÷25)−5^0
Answers
[tex]4 {}^{3} .(100 \div 25) - 5 {}^{0} [/tex]
Solution[tex] {4}^{3} \times (100 \div 25) - {5}^{0} \\ \\ = 64 \times 4 - 1 \\ \\ = 256 - 1 \\ \\ = 255[/tex]
[tex] \fbox \red{Hope This Helps }[/tex]
Answer:
255
Step-by-step explanation:
1) Simplify 100 ÷ 25 to 4.
4³ × 4 - 5⁰
2) Use Rule of Zero: x⁰=1
4³ × 4 - 1
3) Use Product Rule
4⁴ - 1
4) Simplify 4⁴ to 256
256 - 1
5) Simplify
255
Match the following equation to the correct situation 30%(b − 25) = 30%b − 7.5
Answers
Answer:
vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvfvgvgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
Step-by-step explanation:
Which number can each term of the equation be multiplied by to eliminate the fractions before solving? -3/4m-1/2=2+1/4m
Answers
Answer:
* 2/3 / formula then multiply the numbers then you get the answer
Need some help on this question please provide evidence on how you came up with the answer aswell.
Answers
Answer:
No and No
Step-by-step explanation:
Squaring a odd, whole, number results in a even number 99% of the time with the only exception being 1 (1^2 equals 1). If m is 3 and n is 5, mn would be 15, so if both m and n are odd they don't always equal a even number.
Answer:
Step-by-step explanation:
If we are dealing with whole real numbers.
Both answers are based on the same idea.
The product of two numbers is even only if at least one of the two multiplicands is even.
The square of an odd number can only result in an odd number. The reverse is true as well. The square root of an odd number can only be an odd number.
This comes from number theory where multiplication is the repeated addition of one number a certain number of times.
If the first number is even, then every time you add itself again results in an even number, It does not matter if you add an even or odd number of times.
If the first multiplicand is odd, the sum of two odd numbers is always even, adding a third odd multiplicand again results in an odd number, the fourth is even, the fifth is odd, the pattern continues forever. The summation of an even number of odd multiplicands results in an even number. The summation of an odd number of odd multiplicands results in an odd number.
Define the function
3
g(x) = x^3+ x
. If
f(x) = g^-1(x)
and
f(2) = 1
what is the value of
f'(2)
?
Answers
Given that
[tex]g(x) = x^3 + x[/tex]
the inverse [tex]g^{-1}(x)[/tex] is such that
[tex]g\left(g^{-1}(x)\right) = g^{-1}(x)^3 + g^{-1}(x) = x[/tex]
or
[tex]g\left(f(x)\right) = f(x)^3 + f(x) = x[/tex]
Differentiating both sides using the chain rule gives
[tex]3f(x)^2f'(x) + f'(x) = 1 \\\\ f'(x) \left(3f(x)^2+1\right) = 1 \\\\ f'(x) = \dfrac1{3f(x)^2+1}[/tex]
Then the derivative of f at 2 is
[tex]f'(2) = \dfrac1{3f(2)^2+1} = \boxed{\dfrac14}[/tex]
Can you guys pls Help me on this
Answers
9514 1404 393
Answer:
a) x > -2
b) 7 ≤ y
c) n ≤ 20
d) g ≥ 19
e) -5 < w
Step-by-step explanation:
Recognize the following English translations:
"no more than" means "less than or equal to" (≤)
"at least" means "greater than or equal to" (≥)
With these translations and the ones shown in your figure, you have ...
a) x > -2
b) 7 ≤ y
c) n ≤ 20
d) g ≥ 19
e) -5 < w
Solve for the height of the building when the distance between the building and a person is 27
meters and the angle of elevation from the person is 49º. Construct a diagram to help you
solve. Round your answer to the nearest meter.
Answers
9514 1404 393
Answer:
31 m
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
With reference to the attached diagram, we have ...
tan(49°) = BG/GP
BG = GP×tan(49°) = (27 m)×tan(49°) ≈ 31.0599 m
The height of the building is about 31 meters.
Instructions: Create a table of values for the given function.
Function: f(x) = -4x + 3
Answers
Answer:
Domain: {-2, -1, 0, 1, 2}
Range: {-5, -1, 3, 7, 11}
Step-by-step explanation:
Given the function, f(x) = -4x + 3:
We could simply substitute the given x-values into the function to solve for its corresponding y-values:
x = -2:
f(-2) = -4(-2) + 3
f(-2) = 8 + 3
f(-2) = 11
x = -1:
f(-1) = -4(-1) + 3
f(-1) = 4 + 3
f(-1) = 7
x = 0:
f(0) = -4(0) + 3
f(0) = 0 + 3
f(0) = 3
x = 1:
f( 1 ) = -4( 1 ) + 3
f( 1 ) = -4 + 3
f( 1 ) = -1
x = 2:
f(2) = -4(2) + 3
f(2) = -8 + 3
f(2) = -5
Attached is a screenshot of the table containing the same solution displayed in this post.
What is 1,432 rounded to the nearest 100?
Answers
Answer:
1400
Step-by-step explanation:
1432 is closer to 1400 than 1500 because it ends in 32 and is below 50 on the number line
OMG I NEED HELP BADLY RN
n which quadrant does the point (6 , -1) lie?
A.
Quadrant I
B.
Quadrant II
C.
Quadrant IV
D.
Quadrant III
Answers
Answer:
C) Quadrant 4
Step-by-step explanation:
Hope this helps! Pls give brainliest!