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lawyer [7]
4 years ago
8

The system of equations shown below is graphed on a coordinate grid: 4y + x = 4 2y − x = 8 Which statement is true about the coo

rdinates of the point that is the solution to the system of equations? It is (2, 5) and lies on both lines. It is (−4, 2) and lies on both lines. It is (2, 5) and does not lie on either line. It is (−4, 2) and does not lie on either line
Mathematics
2 answers:
Eddi Din [679]4 years ago
7 0
(2,5) is not on first line: 4*(5)+2 = 22 not 4 - first statement is false 

(-4,2) is <span>on first line: 4*(-4)-2 = -18 
</span>(-4,2) is <span>on second line: 2*(-4)-(2) = -10 - second statement is false</span>

(2,5) is not <span>on second line: 2*(-5)-2 = -12 not 8 - third statement is true

(-4,2) is on bought lines - 4rd statement is false</span>
Tanzania [10]4 years ago
5 0

Answer:

It is (−4, 2) and lies on both lines.

Step-by-step explanation:

The system of equations shown below is graphed on a coordinate grid:

4y + x = 4

2y − x = 8

(a) (2, 5), Plug in x= 2  and y=5 in the given equations

4(5) + 2 = 4 --------> false

2(5) - 2=8 --------->True

(b) (-4,2)

4(2) -4 = 4 --------> True

2(2) − (-4) = 8 ------> True

for (-4,2) both equations are true , so it lies on both lines

It is (−4, 2) and lies on both lines.

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If sin ⁡x=7/25, and 0 &lt; x &lt; π/2, what is cos⁡(x−3π/2)?
Likurg_2 [28]

Answer:

Cos(x-\frac{3\pi}{2})=-\frac{7}{25}

Step-by-step explanation:

Remember that cos(x-y)=cos(x)cos(y)+sin(x)sin(y)

Then,

cos(x-\frac{3\pi}{2})=cos(x)cos(\frac{3\pi}{2})+sin(x)sin(\frac{3\pi}{2})\\

But cos(\frac{3\pi}{2})=0 and sin(x)=\frac{7}{25}

Then

cos(x-\frac{3\pi}{2})=cos(x)*0+\frac{7}{25}*sin(\frac{3\pi}{2})\\=\frac{7}{25}*(-1)=\frac{-7}{25}

5 0
3 years ago
Levi rented a movie for $3.20 and bought a package of candy for $2.55. How much money did Levi spend in total?
Art [367]

The total amount of money Levi spent on renting movie and buying candy is $5.75

<h3>Equation</h3>

  • Amount Levi rented movie = $3.20
  • A package of candy = $2.55

Total = Amount Levi rented movie + A package of candy

= $3.20 + $2.55

= $5.75

Therefore, the total money spent by Levi is $5.75

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3 0
2 years ago
Which inequality represents all values of x for which the product below is<br> defined
Gekata [30.6K]

Answer:

D

Step-by-step explanation:

D is the only option where there's always 0 or positive integers inside the radical. The square root of a negative number is imaginary.

4 0
3 years ago
Solve for Y 10(1-2y)=-5(2y-1)
Nostrana [21]
  <span> y = 1/2 = 0.500 :) hope that helped</span>
8 0
3 years ago
Read 2 more answers
The measure of Angle 2 is twelve less than five
hoa [83]

Answer: The measure of Angle 2 = 148°

Step-by-step explanation:

Given: The measure of Angle 2 is twelve less than five  times the measure of Angle 1.

Let the measure of Angle 1 = x

Then, measure of Angle 2 = 5x-12

Since both the angles form linear pair, so their sum = 180°  [linear pair of angles must add up to 180°.]

Then, x+ (5x-12) = 180

⇒ x+ 5x-12= 180

⇒ 6x-12= 180

⇒ 6x= 180+12

⇒ 6x= 192

⇒ x= 32  [divide both sides by 6 ]

So,  measure of Angle 2 = 5(32)-12 = 160-12 = 148°

Hence, the measure of Angle 2 = 148°

7 0
3 years ago
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