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polet [3.4K]
3 years ago
7

Help ASAP: Find the length of RT

Mathematics
1 answer:
bixtya [17]3 years ago
8 0

Answer:

32

Step-by-step explanation:

the equation of a right triangle is x^2 + y^2 = z^2, where x and y are the legs and z is the hypotenuse

write the equations for triangles QTS and STR:

RT^2 + TS^2 = 40^2

7^2 + TS^2 = 25^2

then solve for RT:

RT^2 - 7^2 = 40^2 - 25^2 (subtract second equation from first)

RT^2 = 1024

RT = 32

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A line goes through the point (–4,–2) and has an x-intercept of –1.
Keith_Richards [23]

Answer:

y = - x - 6

Step-by-step explanation:

y = mx + b

m = - 1

y = - x + b

(- 4, - 2)

- 2 = - (-4) + b

-2 = 4 + b

b = - 6

y = - x - 6

5 0
3 years ago
Solve the equation.<br><br> 3(k−6)=15
Natali [406]

Answer:

K = 11

Step-by-step explanation:

3(k - 6) = 15

3k - 18 = 15

3k = 15 + 18

3k = 33

K = 33/3

K = 11

Thus, the value of K is 11

8 0
3 years ago
Marie has a total of $45 to spend at the grocery store. She has already spent $27. She wants to buy cases if soda tat cost $5 ea
pychu [463]

Answer:

3 cases

Step-by-step explanation:

45 - 27 = 18

18 ÷ 5 = 3

Tax is probably like $1 so It would add up to 18.

8 0
3 years ago
The table shows the steps for solving the given inequality for x.
slavikrds [6]

Given inequality -3(4-6x) < x+5.

We have -3 in front of Parenthesis.

That represents multiplication of -3 and Parenthesis.

The multiplication of Parenthesis could be done by applying distributive property.

On distributing, we get

-12+18x < x+5

x is added on right side of the inequality. The reverse operation of addition is subtraction. So we need to subtract x from both sides, we get

-12+18x-x < x-x+5

-12+17x < 5

Now, we need to get rid -12 from left side.

So, we need to apply addition property of equality, we need to add 12 on both sides, we get

-12+12+18x < x+5+12

17x < 17

We need to get rid 17 from left side. So we need to apply division property of equality.

On dividing both sides by 17, we get

17x/17 < 17/17

x<1.

8 0
3 years ago
Find the distance between two points (5,10) and (-4,6)​
Helga [31]

Answer:

Explanation:

The formula for calculating the distance between two points is:

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Substituting the values from the points in the problem gives:

d

=

√

(

−

6

−

−

3

)

2

+

(

−

4

−

−

5

)

2

d

=

√

(

−

6

+

3

)

2

+

(

−

4

+

5

)

2

d = √ ( − 3 ) 2+ 1 2

d = √ 9+ 1

d = √ 10

Or

d = 3.162

rounded to the nearest thousandth

7 0
3 years ago
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