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WINSTONCH [101]
3 years ago
5

Find the value of the expression p + 9 − 9 ÷ q − 9 for p = 4 and q = 3.

Mathematics
1 answer:
True [87]3 years ago
5 0

Answer:

1

Step-by-step explanation:

p + 9 - 9 ÷ q - 9

p = 4 q = 3

= 4 + 9 - 9 ÷ 3 - 9

= 4 + 9 - 3 - 9

= 1

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Solve the equations<br> x squared + y squared = 36<br> x = 2y + 6
djyliett [7]

Answer:

Given the equations:

x^2+y^2 =36              .....[1]

x =2y +6                     ....[2]

Substitute the value of x in [1] we get;'

(2y+6)^2+y^2 =36

Use identity: (a+b)^2= a^2+2ab+b^2

4y^2+36+24y + y^2 =36

Combine like terms;

5y^2+36+24y=36

Subtract 36 from both sides we get;

5y^2+24y=0

y (5y+24) = 0

By zero product property, we get;

y = 0 and y =- \frac{24}{5} = -4.8

Substitute these y values in [2] to get x values;

For y = 0 we have;

x = 2(0) +6 = 0+6 = 6

For x = -4.8

x = 2(-4.8)+6 = -9.6 + 6 = -3.6

Therefore, the solution for the given equations are; (6, 0) and (-3.6, -4.8)


4 0
3 years ago
Henrique drew and labeled the net shown. He also labeled the areas of the left and right triangular sides.
Oksana_A [137]

Answer: SA=117.2\ in^2

Step-by-step explanation:

You need to remember the following:

1. The area of a rectangle can be calculated with the following formula:

A_r=lw

Where "l" is the length and "w" is the width.

2. The area of a triangle can be calculated with the following formula:

A_t=\frac{bh}{2}

Where "b" is the base and "h" is the height.

Use those formulas to find the area of each face.

<u> Area of the rectangle</u>

A_r=(10\ in)(4\ in)=40\ in^2

<u>Area of two triangles</u>

There are two equal triangles. Each one has a base  of 10 inches and a height of 5 inches. Then, their areas are equal:

A_{t1}=A_{t2}=\frac{(10\ in)(5\ in)}{2}=25\ in^2

The areas of the other two triangles (which are equal) are:

A_{t3}=A_{t4}=13.6\ in^2

Adding the areas of the faces, you get that the surface area of the rectangular pyramid is:

SA=40\ in^2+25\ in^2+25\ in^2+13.6\ in^2+13.6\ in^2\\\\SA=117.2\ in^2

3 0
3 years ago
Read 2 more answers
Where does (2,4) lie on the quadrant <br> plane
AfilCa [17]

Answer:

2 quadrant

Step-by-step explanation:

4 0
3 years ago
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Factorize 6ab-15bc-16cd+4ab​
balu736 [363]

Answer:

mommymommymoomamayeahyeah

4 0
2 years ago
$250, 2.85%, 3 years Simple interest
rosijanka [135]
Ok so you put I = 250 x .0285 x 3 and it gives you 21,375 then you add 21,375 with 250 and it gives you 21,625 that world be your answer
8 0
3 years ago
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