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2 years ago

Find the value of x. Round the answer to the nearest tenth, if needed.

Mathematics

1 answer:

Dafna1 [17]2 years ago

4 0

Let the other 2 unknown sides be y n z

look at the two smaller triangles inside

y^2 = 12^2 + x^2 and

z^2 = 21^2 + x^2

from the biggest triangle

(12+21)^2 = y^2 + z^2

substituting

(12+21)^2 = (12^2 + x^2) + (21^2 + x^2)

33^2 = 12^2 + 21^2 + 2x^2

2x^2 = (33^2 - 12^2 - 21^2)/2 = 504

x^2 = 252

x = 15.9

ans is B

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Find the midpoint of the segment with the given endpoints.

Ksju [112]

The mid-point for given endpoints is (4,3)

Step-by-step explanation:

a mid-point is the point on a line segment that divides it into two equal portions.

If (x1,y1) and (x2,y2) are the coordinates of vertices of a line segment, then mid-point is given by:

$M = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

given

(x1,y1) = (9,9)

(x2,y2) = (-1,-3)

$M = (\frac{9-1}{2}, \frac{9-3}{2})\\\\=(\frac{8}{2}, \frac{6}{2})\\\\=(4,3)$

The mid-point for given endpoints is (4,3)

Keywords: Coordinate Geometry, Mid-point

Learn more about coordinate geometry at:

#LearnwithBrainly

5 0

2 years ago

Write the given trinomial if possible as a square of a binomial or as an expression opposite to a square of a binomial:

Ksenya-84 [330]

$\frac{4}{9}b^2 + 0.4bc + 0.09c^2 = \frac{4}{9}b^2 + \frac{4}{10}bc + \frac{9}{100}c^2 = (\frac{2}{3}b + \frac{3}{10}c)^2$

7 0

3 years ago

Consider this function: f(x) = -4x + 7. Which polynomial is equivalent to f(f(x))? A. 16x – 28 B. 16x2 – 56x + 49 C. 16x – 21 D.

Temka [501]

Answer:

The answer is :

C. 16x - 21

5 0

2 years ago

What is 2,001÷83 pls help i need to check my answer

Nina [5.8K]

Answer:

24.11

Step-by-step explanation:

2001 ÷ 83

83×2= 166

200-166=34 bring down the 1

341 ÷ 83

83×4= 332

341-332=9 add a decimal and bring down a 0

90÷83

90-83=7 bring down another 0

70÷83=0 brind down another 0 since 70 cannot be divided by 83 and have a whole number

700÷83

83×8=664

700-664=36

right now you have 24.108

round to the nearest tenth

24.11

7 0

2 years ago

What is the equation of the line that is perpendicular to 3x -6y =2 and contains the point (-2,--5)

julsineya [31]

Answer:

y=-2x-12

Step-by-step explanation:

first, putt 3x-6y=2 in standard form:

subtract 3x from both sides: -6y=-3x+2

divide both sides by -6 to isolate y: y=1/2x-1/3

if the other line is perpendicular to this, you must find the slope by finding the opposite reciprocal of 1/2x: -2

now we have 2 points a slope, so we use the point-slope formula: y-y1=m(x-x1)

y+2=-2(x+5)

Use the distributive property: y+2=-2x-10

subtract 2 for both sides to isolate y: y=-2x-12

5 0

2 years ago