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nika2105 [10]
2 years ago
6

A line passes through the point (4,-2) and has a slope of 1/2 what is the value of a if the point (-4,a) is also on the line

Mathematics
1 answer:
Slav-nsk [51]2 years ago
3 0

Answer:  The value of a is -6.

Step-by-step explanation:

To do this we need to find the y-intercept first.

-2= 4(1/2) + b

-2=2+ b

-2  -2

b= -4  so now the y-intercept is -4  so we will now have the equation y= 1/2x -4

so now put -4 into the equation for x and solve for y.

y= 1/2(-4) -4

y = -6

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A triangle in the coordinate plane has coordinates of (2,3) (-4,-5) and (-2,4)
ahrayia [7]

Answer:

yes

Step-by-step explanation:

4 0
3 years ago
Angle G and H are vertical angles. If angle G is 45 degrees and angle H is 2x degrees, what is the value of x?
Veseljchak [2.6K]

Answer:

x = 22.5

Step-by-step explanation:

Vertical angles are congruent by the vertical angles theorem. Therefore is angle G is 45 degrees, then that means that angle H must be 45 degrees as well.

The value of x can be found by making the expression that represents angle H (2x) equal to 45 in an equation to solve for x.

2x = 45

Divide both sides by 2.

x = 22.5

6 0
3 years ago
Find the circumference in feet.
Rama09 [41]

Answer:

C≈25.13ft

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·8≈25.13274ft

3 0
3 years ago
A store offered a 20% price discount on all items on Friday. By what fraction of the discounted price of an item did the price i
grin007 [14]

Answer:

What were two of the important points found in the Monroe Doctrine?

All European nations had to give up their colonies and allow for individual autonomy.

The United States would not allow additional colonization of Latin American nations.

America would not interfere with already established Latin American colonies.

All trade agreements with Latin American nations had to go through the United States.

Step-by-step explanation:

4 0
2 years ago
-y varies inversely with x. When y = 9.6, x = 12. What is the value of k, the constant of inverse variation?
alisha [4.7K]

Question 1:

For this case we have an equation of the form:

y = \frac {k} {x}

Where,

  • <em>k: inverse variation constant. </em>

Then, substituting values we have:

y =\frac {k} {x}

From here, we clear the value of k.

We have then:

k = 9.6 * 12\\k = 115.2

Answer:

the constant of inverse variation is:

k = 115.2

Question 2:

For this case we have:

y = \frac {k} {x}

Where,

  • <em>k: constant of variation. </em>

Then, substituting the value of the constant we have:

y =\frac {5.6} {x}

We now substitute the value of x:

y = \frac {5.6} {4}\\y = 1.4

Answer:

 the value of y when x = 4 is: y = 1.4

6 0
3 years ago
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