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gogolik [260]
3 years ago
8

Find the value of x

Mathematics
1 answer:
Tanzania [10]3 years ago
8 0

Answer:

x = 30

Step-by-step explanation:

24(24 + x) = 36² => tangent-secant theorem

Open the bracket

24*24 + 24*x = 36²

576 + 24x = 1,296

24x = 1,296 - 576

24x = 720

Divide both sides by 24

24x/24 = 720/24

x = 30

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How to solve the system of equations algebraically for all values of x, y, and z
stich3 [128]
4x -3y + z = -10...............(1)
2x +y + 3z =  0...............(2)
-x +2y - 5z = 17...............(3)

First we multiply 3*(2) and add it to (1) 
6x +3y +9z =0..................+(1)..................> 10x + 10z = -10......(4)

Then we multiply -2*(2) and add it to (3) 
-4x -2y -6z =0 ...................+(3)................> -5x -11z = 17...........(5)

Multiply  2*(5) and add it to (4)
-10x -22z = 34...................+(4).................> -12 z = 24 ..............>>> z = -2

Substitute z in (4)............> 10x +10(-2) = -10.............................>>> x = 1

Substitute x and z in (2).....> 2(1) +y + 3(-2) =  0..................>>> y = 4

Solution (x,y,z) = (1,4,-2)

4 0
3 years ago
Y = x^2+ 2x + 7<br> y = 7 + x
Lostsunrise [7]

Answer:

when x=0 y=7

when x=-1 y= 6

Step-by-step explanation:

to find x & y we can make the two x expressions equal to each other

x²+2x+7=7+x (we are going to set it equal to zero to find the roots/the x value)

x²+x=0

x(x+1)=0

x=0 x=-1 (two solutions for x)

now we just plug in these values and find the y values

when x=0 y=7

when x=-1 y= 6

5 0
4 years ago
in slope intercept form write the equation of a line that is parallel to 3x - 5y = 7 and passes through (0, -6)​
lisov135 [29]

Answer:

The gradient is 3/7 make y the subject. Then put the coordinates in the equation.

Step-by-step explanation:

7 0
3 years ago
What is equavilent to (10x+7r-r^(2))+(-6r^(2)-18+5r)
mote1985 [20]

Answer:

−7r^(2)+12r+10x−18

Step-by-step explanation:

Grab the original equation: 10x+7r−r^(2)−6r^(2)−18+5r

For subtraction bits, treat them as negatives: 10x+7r+−r^(2)+−6r^(2)+−18+5r

Combine like terms: (−r^2+−6r^2)+(7r+5r)+(10x)+(−18)

Simplify that, and you get your final answer: −7r^(2)+12r+10x+−18

6 0
3 years ago
17. The perimeter P of a rectangle with length (
coldgirl [10]

Answer:

l= (P-2w)/2

Step-by-step explanation:

P = 2l + 2w

Subtractc 2w both sides

P-2w = 2l

Divide 2 both sides

(P-2w)/2 = l

Hope this helps!

4 0
3 years ago
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