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AnnyKZ [126]
4 years ago
10

Which expression gives the length of pq in the triangle shown below?

Mathematics
2 answers:
alukav5142 [94]4 years ago
7 0
For this case what we should do is use the Pythagorean theorem.
 We have then:
 PQ ^ 2 = 15 ^ 2 + 19 ^ 2
 Clearing we have:
 PQ = root (15 ^ 2 + 19 ^ 2)
 Answer:
 
The expression used to find PQ is given by:
 
PQ = root (15 ^ 2 + 19 ^ 2)
 
option C
Ira Lisetskai [31]4 years ago
4 0
We have to use the Pythagorean theorem.
 So it will be:
 PQ ^ 2 = 15 ^ 2 + 19 ^ 2
 PQ = root (15 ^ 2 + 19 ^ 2)
 So the expression used to find PQ is given by:
 PQ = root (15 ^ 2 + 19 ^ 2)
 

So the answer would be letter C.

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levacccp [35]
Tan is opposite divided by adjacent and then square root the division answer
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Solve the inequality and give the interval notation
laila [671]
|7 - x| >= 1

When solving for x inside an absolute value, you can set up two equations. One for the positive and one for the negative(since we’re dealing with absolutes.

We end up with:
7 - x >= 1
7 - x <= -1 (inequalities’ signs flip when multiplying or dividing by a negative.)

7 - x >= 1
7 - 1 >= x
X <= 6

7 - x <= -1
7 + 1 <= x
X>= 8

X: (-infinity, 6]U[8, infinity)
6 0
3 years ago
PLEASE HELP! <br><br> i’ll mark brainliest if you’re correct!
Jobisdone [24]

Answer:

y = 5

Step-by-step explanation:

Since this is an isosceles triangle, Angle B and Angle C are equivalent. We can use this to find x

3x = 75

x = 25

Angles in a triangle add up to 180, so knowing the measure of Angle B and Angle C, we can find the measure of Angle A

Angle A = 180-(75+75)

Angle A = 180-150

Angle A = 30

We know Angle A = 4y+10

4y + 10 = 30

4y = 20

y = 5

6 0
2 years ago
Please help!! i need 15 &amp; 17!
Ludmilka [50]

Answer:

15. Answer: length = 15 ft; width = 3 ft

16. Answer: base = 14 cm; height = 5 cm

17. Answer: x² - 5x - 24 = 0

Step-by-step explanation:

15.

area of rectangle = length * width

length = x - 2

width = x - 14

area = (x - 2) (x - 14)

We are shown the area to be 45 ft².

We set the expression of the area equal to the given area and solve the quadratic equation for x.

(x - 2)(x - 14) = 45

x² - 14x - 2x + 28 - 45 = 0

x² - 16x - 17 = 0

(x - 17)(x + 1) = 0

x - 17 = 0  or  x + 1 = 0

x = 17  or x = -1

We discard the negative answer, x = -1, since it would give negative length and width.

x = 17

length = x - 2 = 17 - 2 = 15

width = x - 14 = 17 - 14 = 3

Answer: length = 15 ft; width = 3 ft

16.

area = ½bh

area = ½(x - 5)(x - 14)

area = 35

½(x - 5)(x - 14) = 35

(x - 5)(x - 14) = 70

x² - 14x - 5x + 70 = 70

x² - 19x = 0

x(x - 19) = 0

x = 0  or  x - 19 = 0

We discard x = 0 since it would give negative dimensions.

x = 19

base = x - 5 = 19 - 5 = 14

height = x - 14 = 19 - 14 = 5

base = 14

height = 5

Answer: base = 14 cm; height = 5 cm

17.

A polynomial with solutions x = a and x = b can be found by multiplying (x - a) by (x - b). Here, the solutions are x = -3 and x = 8.

[x - (-3)](x - 8) = (x + 3)(x - 8) = x² - 8x + 3x - 24 = x² - 5x - 24

Answer: x² - 5x - 24 = 0

5 0
3 years ago
Two points -5.2 and 4.8 are on a number line. What is the distance, to the nearest tenth, between these two points?
Cerrena [4.2K]
-5.2 -4.8= -10 thats your answer and it easy math.
3 0
3 years ago
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