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ruslelena [56]
3 years ago
7

Which of the points A(−6, 2), B(0, 0), C(4, −2), D(−12, 6), E(−10, 10) belong to the graph of direct variation y=− 1 2 x?

Mathematics
1 answer:
vovangra [49]3 years ago
5 0

ANSWER

B(0, 0),

EXPLANATION

The given points are A(−6, 2), B(0, 0), C(4, −2), D(−12, 6), E(−10, 10).

The equation of the direction variation is

y =  - 12x

The point that belongs the graph of the direct variation must satisfy the variation equation.

Note that the graph of direct variation equation passes through the origin therefore the point (0,0) satisfies it.

0=-12(0)

0=0

This is true

The other points do not satisfy this variation equation, hence they do not lie on its graph

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What is the equation of g(x)?
Ksenya-84 [330]

Answer:

g(x)=10^{x-3}

Step-by-step explanation:

Notice that function g(x) has the exat shape of function f(x), and it has just be translated to the right by 3 whole units.

Recall that horizontal translations to the right involve subtracting the number of units moved in the translation from the variable "x". therefore, in our case this means:

f(x)=10^x\\g(x)=10^{x-3}

4 0
3 years ago
What is the value of x in the equation 3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4
Sedaia [141]

Answer:

-37/68

Step-by-step explanation:

3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4

(21/2x+6)-(1/2+2)=(3/2x-3/8)-1/4

(21/2x-1/2x)+(6-2)=3/2x-3/8-1/4

10x+4=3/2x-5/8

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37/8 (2)=-17/2x(2)

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37/68=-x

-37/68=x

4 0
2 years ago
The distance from the center of a carousel to the
anzhelika [568]

Answer:

\fbox{\begin{minipage}{3.5em}338 (ft)\end{minipage}}

Step-by-step explanation:

The problem could be simplified as following:

Given:

The radius of a circle O is 26 feet.

Solve for:

The length of arc on circle O that measures 13 radians

Solution:

Step 1: Let's find out the correct formula to apply:

The formula to calculate the length of an arc measuring x radians on a circle with radius r feet is:

L = r*x

Step 2: Let's put the data into formula to work out the length L of arc:

L = 26*13 = 338 (ft)

=>  The distance that a horse does on the outer edge travel  when the carousel rotates through 13 radians: L = 338 (ft)

Hope this helps!

:)

7 0
3 years ago
A trinomial with a leading coefficient of 3 and a constant term of -5
Yakvenalex [24]
This is one example of a trinomial with a leading coefficient of 3 and a constant term of -5

4 0
3 years ago
Read 2 more answers
1. Find the value of x in the equation √ x + 5 = √ x + 45.<br> A. 16<br> B. 4<br> C. 1<br> D. 2
Korvikt [17]
I think you mean
sqrt x + 5 = sqrt (x+45)


if you plug in x = 4,
left side = sqrt 4 + 5 = 2+ 5 = 7

right side = sqrt (4+45) = sqrt 49 = 7

so the answer is x = 4 :)
7 0
3 years ago
Read 2 more answers
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