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3 years ago

What is the x value and y value of the point of intersection of y = -3x + 10 and y = 2x - 5?

1 answer:

8 0

So you can use substitution...which is where you have Y all alone on one side of your equation and then plug it in to the other equation...2x-5=-3x+10 and you.solve for X. So x= 3. Then plug 3 into one of the original equations... Y=2(3)+5. So Y= 11.

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Which of the following is equivalent to -4(X + 8)?

o-na [289]

Answer:

None of the above. -4x - 32

Step-by-step explanation:

-4(X + 8)

Distribute -4

-4x + 32 (8 × 4 =32)

4 0

3 years ago

Write the equation of the line which contains all images of point C.

Elena-2011 [213]

Answer:

A. y = $\frac{1}{4}$ x - 2

Step-by-step explanation:

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3 years ago

During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by

sweet [91]

Hey Child.

The answer to this is 1 or 7:

To find the range for the number of measures played to satisfy our solution, we must solve for x using s = 80.

Next, we subtract 50 from both sides of the equation.

Next, we divide both sides of the equation by 10

Next, to eliminate the absolute value bars, we will add a ± sign in front of our s value, 3.

Finally, we add 4 to both sides of our equation giving us 4 ± 3 = x

Separating this into two equations, we get 4 - 3 = x and 4 + 3 = x

Therefore, x, the number of measures of music played, must be either 1 or 7.

Hope It Helped!~

$\frac{JesusLoveMeAlways}{}$

4 0

4 years ago

The measure of central angle XYZ is 3 pie / 4 radians.

Elena L [17]

Answer: $96\pi\text{ units}^2$

Step-by-step explanation:

From the given picture, it can be seen that the radius of the circle = 16 units

Also, the measure of central angle XYZ $=\dfrac{3}{4}\pi$ radians

The area of sector with radius r and angle x radian is given by :-

$\text{Area of sector}=\dfrac{1}{2}r^2\ x$

Now, the area of the shaded sector is given by :-

$\text{Area of the shaded sector}=\dfrac{1}{2}(16)^2\dfrac{3}{4}\pi\\\\\Rightarrow\text{Area of the shaded sector}=96\pi\text{ units^2}$

7 0

3 years ago

Read 2 more answers

2x - 3y = 45 and x + y = 10 what is the x - value of the solution of the system

abruzzese [7]

Answer:

x=15

Step-by-step explanation:

This is a simultaneous equation

2x-3y=45 ------------------------------ equation i

x+y=10 -------------------------------equation ii

from equation ii

x+y=10

make x the subject of the matter

we have,

x=10-y

in equation i

substitute x for 10-y

2x-3y=45----------------------i

since x=10-y

we have,

2(10-y) - 3y=45

20-2y=3y=45

collect like terms

-2y-3y=45-20

-5y=25

divide both sides by -5

we have y=-5

substitute y for-5 in equation i

x+y=10

x+-5=10

collect like terms

x=10+5

x=15

therefore

x=15

8 0

3 years ago

Read 2 more answers