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2 years ago

Solve by substitution 8x+y=-16 -3x+ y= -5

Mathematics

1 answer:

azamat2 years ago

3 0

Answer:

y=–8, x=–1

Step-by-step explanation:

I don't have time to explain

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Quadrilateral JKLM is graphed with vertices at J(-2,2), K(-1,-5), L(4,0), and M(3,7).

AveGali [126]

Answer:

Question (a)

Midpoint of a line segment:

$M=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Given:

J = (-2, 2)
L = (4, 0)

$\implies \textsf{midpoint of }JL=\left(\dfrac{-2+4}{2},\dfrac{2+0}{2}\right)=(1,1)$

Given:

M = (3, 7)
K = (-1, -5)

$\implies \textsf{midpoint of }MK=\left(\dfrac{3-1}{2},\dfrac{7-5}{2}\right)=(1, 1)$

Question (b)

Find slopes (gradients) of JL and MK then compare. If the product of the slopes of JL and MK equal -1, then JL and MK are perpendicular.

$\textsf{slope }m=\dfrac{y_2-y_1}{x_2-x_1}$

Given:

J = (-2, 2)
L = (4, 0)

$\implies \textsf{slope of }JL=\dfrac{0-2}{4+2}=-\dfrac13$

Given:

M = (3, 7)
K = (-1, -5)

$\implies \textsf{slope of }MK=\dfrac{-5-7}{-1-3}=3$

$\textsf{slope of }JL \times \textsf{slope of }MK=-\dfrac13 \times3=-1$

Hence segments JL and MK are perpendicular

4 0

2 years ago

Put the following 3x + y < 8 into linear equation, Slope Intercept formmat

Verdich [7]

We have to get the y alone. So we'll subtract 3x on both sides.

Our new expression is y<-3x+8

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sorry if this doesn't help

5 0

3 years ago

NEED HELP ASAP!! PLEASE HELP!

Darya [45]

The second one is correct

7 0

3 years ago

A truck travels beneath an airplane that is moving 160 km/h at an angle of 54.0 ◦ to the ground. How fast must the truck travel

Maksim231197 [3]

Answer:

2. 94.0 km/h

Step-by-step explanation:

since the airplane is moving at angle of 54° from the ground, the horizontal component of the velocity is given by cos component

speed of air plane= 160 km/hr

horizontal component of velocity v= 160 cos 54°

= 94.045 km/hr

Thus the truck must travel at an speed of 94.0 Km/hr hence second option is correct.

6 0

3 years ago

Which Property of real numbers does this equation show? 4 x 1 = 4

Colt1911 [192]

Answer:

This is multiplicative identity in which 4✖️1=4

Step-by-step explanation:

Hope it will help you:)

7 0

3 years ago