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hichkok12 [17]
3 years ago
15

4x - 2y = 6 y = - 2x - 1 what is the value of x+ y

Mathematics
1 answer:
Elenna [48]3 years ago
4 0
4x-2y=6 (3/2+y/2
Y=-2x-1
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write the equation of the line that passes through the points (1,6) and (9,-8). put your answer in fully reduced slope form, unl
Musya8 [376]

Answer:

Y = - 7/4 X + 31/4

Step-by-step explanation:

M = 14/-8 = - 7/4

6 = - 7/4 + B

24 = -7 + 4B

31 = 4B

B = 31/4

6 0
3 years ago
What is 28- 12.5% decrease???
OLEGan [10]
Ok so I assume
28 and decreased by 12.5%

percent means partst out of 100 so
12.5%=12.5/100=0.125
first find 12.5% of 28 then subtract
0.125 times 28=3.5
decrease
28-3.5=24.5

answer is 24.5
3 0
3 years ago
The height of a triangle is 5 cm shorter than its base. If the area of the triangle is 25 cm2, find the height of the triangle.
Olin [163]

Answer:

h = 5\ cm

Step-by-step explanation:

Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:

The height of a triangle is 5 cm shorter than its base. This means that:

h = B-5.

 The area of the triangle is 25 cm²

By definition the area of a triangle is:

A = 0.5Bh

For this triangle we know that A = 25\ cm^2 and h = B-5. We substitute these values in the equation and solve for B.

25 = 0.5B (B-5)

0.5B ^ 2-\frac{5}{2}B-25 = 0

Now we use the quadratic formula to solve the equation.

For an equation of the form ax ^ 2 + bx + c = 0 the quadratic formula is:

B=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case note that:  a=0.5,\ \ b=-\frac{5}{2}\ \ c=-25

Then:

B=\frac{-(-\frac{5}{2})\±\sqrt{(-\frac{5}{2})^2-4(0.5)(-25)}}{2(0.5)}

B=\frac{\frac{5}{2}\±\sqrt{\frac{25}{4}+50}}{1}

B=\frac{5}{2}\±\frac{15}{2}

The solutions are:

B_1=\frac{5}{2}+\frac{15}{2}=10

B_2=\frac{5}{2}-\frac{15}{2}=-5

For this problem we take the positive solution.

B=10\ cm

Now we substitute the value of B in the equation to find the height h

h = 10-5

h = 5\ cm

6 0
3 years ago
At which value in the domain does f(x)=0 ?
lina2011 [118]

f(x)=0

Domain are the set of x values

f(x)=0 , we find all the x values where y =0

At x intercepts y is always 0

so we find all the x intercepts.

x intercepts are the points where the graph crosses x axis

In the graph we can see that the graph crosses x axis at

-2.5 , -0.75 and 1

-2.5 , -0.75 and 1 are the domain where f(x)=0

5 0
3 years ago
Read 2 more answers
Quadrilateral ABCD is inscribed in this circle. What is the measure of angle c?
alexandr402 [8]
3x+x+20 = 180
4x = 180-20
4x = 160
x = 40

×+20+3x+2x+38+C=360
40+20+3×40+2×40+38+C=360
40+20+120+80+38+C=360
298+C=360
C=360-298
C =62°
4 0
3 years ago
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