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Drupady [299]
4 years ago
14

Solve the equation.

Mathematics
1 answer:
PolarNik [594]4 years ago
3 0

Answer:

t = sqrt(595/1289) or t = -sqrt(595/1289)

Step-by-step explanation:

Solve for t:

29/35 = 17/t^2 - 36

29/35 = 17/t^2 - 36 is equivalent to 17/t^2 - 36 = 29/35:

17/t^2 - 36 = 29/35

Bring 17/t^2 - 36 together using the common denominator t^2:

(17 - 36 t^2)/t^2 = 29/35

Cross multiply:

35 (17 - 36 t^2) = 29 t^2

Expand out terms of the left hand side:

595 - 1260 t^2 = 29 t^2

Subtract 29 t^2 + 595 from both sides:

-1289 t^2 = -595

Divide both sides by -1289:

t^2 = 595/1289

Take the square root of both sides:

Answer: t = sqrt(595/1289) or t = -sqrt(595/1289)

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Find the equation of the line that has the given properties. Write the equation in slope-intercept form, if possible.
Black_prince [1.1K]

Answer:

y = (-1/2)x + 9/2

Step-by-step explanation:

the equation of a straight line can be written as;

y = mx + c ......1

Where;

m = slope

c = intercept

For two lines to be perpendicular their slope must be opposite reciprocal of each other.

m1 × m2 = -1 .....2

Given;

The equation Contains (3, 3); and perpendicular to the line y = 2x - 1

Slope of the given equation m1 = 2

Slope of the line m2; substituting m1 to equation 2.

2 × m2 = -1

m2 = -1/2

So,

y = (-1/2)x + c

To solve for c, let's substitute the given point on the line; (3,3).

3 = (-1/2)(3) + c

3 = -3/2 + c

c = 3 + 3/2

c = 9/2

Therefore, the equation of the line that has the given properties is;

y = (-1/2)x + 9/2

8 0
3 years ago
Which statement BEST describes 200 ? A) between 12 and 13 B) between 13 and 14 C) between 14 and 15 D) between 15 and 16
Goshia [24]

Answer:

If I am assuming sqrt(200), the answer is C

Step-by-step explanation:

14^{2} = 196\\15^{2} = 225

Because 200 is between both of these numbers, c is the only viable option

6 0
3 years ago
Yuson used her calculator to solve the equation 4/5x - 8 = 3. She entered the following on her screen and got an incorrect answe
Firlakuza [10]

Answer:

55/4

Explanation:

Let's solve your equation step-by-step.

4 /5x−8=3

Step 1: Add 8 to both sides.

4 /5x−8+8=3+8

4 /5 x = 11

Step 2: Multiply both sides by 5/4.

( 5 /4 )*( 4 /5 x)=( 5 /4 )*(11)

x=  55/4

Answer:

x=

55 /4

Hope that helps :)

 

4 0
4 years ago
Read 2 more answers
I need help on this. How do you find the area of this shape?
dimaraw [331]
To find the area of this shape you must first find the area of the rectangle 8 x 13 = 104. Once you find the area of the rectangle you must then find the area of the triangle which is base x height divided by 2. So to find the base of the triangle you must add the 4s on the bottom and subtract it by 13. So 13-8=5 so the base of the triangle is 5, the height is 6 and 5x6 is 30. You then divide it by 2 so you get 15. Now you take the area of the rectangle,104 and subtract it by the area of the triangle, 15. The answer is 89. I hope this helps.
8 0
4 years ago
It is greatest to least fractions
Lana71 [14]

Answer:

D

Step-by-step explanation:

The best way to work with fractions is to turn them into decimals by dividing the numerator by the denominator.

7 0
3 years ago
Read 2 more answers
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