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3 years ago

Identify the equation in slope-intercept form for the line containing the point (−3,5) and parallel to y=−2/3x+53.

Mathematics

1 answer:

Alexeev081 [22]3 years ago

3 0

Answer:

y=−2/3x+3

Step-by-step explanation:

I graphed the point and the equation given below. I used the same slope in the new equation as the original equation. The y-intercept is 3 because the line goes through (0,3).

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The function f is linear. If f(2) = 2 and f(-6)=6 find f(6)

lina2011 [118]

$The\ slope-intercept\ form:y=mx+b\\\\f(2)=2\to for\ x=2\to y=2\\f(-6)=6\to for x=-6\to y=6\\\\put\ in\ equation\ of\ the\ line:\\\\ -\left\{\begin{array}{ccc}2=2m+b\\6=-6m+b\end{array}\right\ \ \ |subtract\ sides\ of\ the\ equations\\----------\\.\ \ \ -4=8m\ \ \ \ \ |divide\ both\ sides\ by\ 8\\.\ \ \ \ \boxed{m=-\frac{1}{2}}\\\\put\ m=-\frac{1}{2}\ to\ equation\ 2=2m+b:\\\\2=2\cdot(-\frac{1}{2})+b\\2=-1+b\ \ \ \ |add\ 1\ to\ both\ sides\\\boxed{b=3}\\\\\boxed{\boxed{y=-\frac{1}{2}x+3}}$

$therefore:f(x)=-\frac{1}{2}x+3\Rightarrow f(6)=-\frac{1}{2}\cdot6+3=-3+3=0\\\\Answer:\boxed{f(6)=0}$

5 0

3 years ago

Which pair of lines are parallel? Need to show work

zaharov [31]

Answer:

Step-by-step explanation:

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3 years ago

What combination of transformations is shown below?

melamori03 [73]

Answer:

Rotated then translated

Step-by-step explanation:

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3 years ago

Geometry The length of a rectangle is repfesented by 4a + 3b, and its width is represented by 3a 2b. Write a polynomial for the

Finger [1]

the correct question is
<span>The length of a rectangle is represented by 4a + 3b, and its width is represented by 3a-2b. Write a polynomial for the perimeter of the rectangle. What is the minimum perimeter of the rectangle if a=12 and b is a non-zero </span>whole number?

we know that
Perimeter of a rectangle=2*[length + width]
length=(4a+3b)
width=3a-2b
so
P=2*[(4a+3b)+(3a-2b)]-----> P=2*[7a+b]-----> P=14a+2b

the answer part a) is
A polynomial for the perimeter of the rectangle is P=14a+2b

Part b)
for a=12
P=14*12+2b---------> P=168+2b
<span>the minimum perimeter of the rectangle is for b=1
</span>so
P=168+2*1-----> P=170 units

the answer part b) is
the minimum perimeter of the rectangle is 170 units

6 0

3 years ago

Can someone help me with this- (WILL GIVE BRAINLIEST)

stiks02 [169]

Answer:

2) No function

3) Function: y=30x

Domain: x≥0

Range: y≥0

4) Function: y=160

Domain: x≥20

Range: y=160

Step-by-step explanation:

7 0

3 years ago