All categories

3 years ago

Determine whether the equation 2x + y = 8 is linear. If so, graph the function.

1 answer:

3 0

It is linear because both variables have an exponent of 1. (FYI: one of the exponents can be 0 and still be a linear equation).

2x + y = 8

-2x -2x

y = -2x + 8 ⇒ slope (m) = -2 and y-intercept (b) = 8

plot the y-intercept (0, 8). then plot the next point by counting the rise over run from the y-intercept. count 2 units down and 1 unit to the right = (1, 6).

You might be interested in

What happens when a triangle is dilated using one of the vertices as the center of dilation?

iren2701 [21]

Answer:

When a Triangle is Dilated taking one of the vertices as the center of dilation

There are two Possibility, either Dilation factor will be (0<Dilation factor<1), or greater than 1.

1. When,0< Dilation Factor < 1

Size Of Preimage < Size of Image

2. When Dilation Factor > 1

Size Of Preimage > Size of Image

Step-by-step explanation:

5 0

3 years ago

FIRST TO ANSWER RECIEVES BRAINLIEST

weeeeeb [17]

Answer:

Step-by-step explanation:

As it is 60 degree, and the whole circle is 360 degree, so we need to find 1/6 of the circumference of a circle, as C = 2*pi*r = 2*pi*3 = 6pi and 1/6 of it is pi.

3 0

3 years ago

GJ is a midsegment of triangle DEF, and HK is a midsegment of triangle GFJ. What is the length of HK?

loris [4]

Answer:

Option B) 4 centimeters

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of n

we know that

a) GJ is a midsegment of triangle DEF

then

G is the midpoint segment DF and J is the midpoint segment EF

DG=GF and EJ=JF

b) HK is a midsegment of triangle GFJ

then

H is the midpoint segment GF and K is the midpoint segment JF

GH=HF and JK=KF

In this problem we have

HF=7 cm

GH=7 cm

GF=GH+HF ----> by addition segment postulate

GF=7+7=14 cm

Remember that

DG=GF

substitute the given values

$2n-1=14$

solve for n

$2n=14+1$

$2n=15$

$n=7.5\ cm$

step 2

Find the length of GJ

we know that

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

$GJ=\frac{1}{2}DE$