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4 years ago

Form the union for the following sets. R = {10, 15, 20} S = {20, 25} R ∪ S =

Mathematics

1 answer:

Alja [10]4 years ago

3 0

R = {10; 15; 20}

S = {20; 25}
R U S = {10;15; 20; 25;

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Find the area of sector DEF (show work please)

Whitepunk [10]

Answer:

240

Step-by-step explanation:

360-120=240

4 0

3 years ago

Can you answer this question please

HACTEHA [7]

The answer is y=34

Explanation:

4 0

3 years ago

Find the values of a and b such that x^2-2x+2=(x-a)^2+b

vekshin1

Answer:

a = 1, b = 1

Step-by-step explanation:

Expand the right side and compare the coefficients of like terms on both sides, that is

right side

(x - a)² + b ← expand factor using FOIL

= x² - 2ax + a² + b

Compare to left side x² - 2x + 2

Compare the coefficients of the x- term

- 2a = - 2 ( divide both sides by - 2 )

a = 1

Compare the constant terms

a² + b = 2 ( substitute a = 1 )

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1 + b = 2 ( subtract 1 from both sides )

b = 1

Thus a = 1, b = 1

6 0

3 years ago

FIND (-8/3)+(-1/4)+(-11/6)+3/8-3

emmainna [20.7K]

Answer:

-7 3/8

Step-by-step explanation:

The least common denominator of 3, 4, 6, and 8 is 24; converting all of our fractions to that denominator and solving, we have

$-\frac{8}{3}+\left(-\frac{1}{4}\right)+\left(-\frac{11}{6}\right)+\frac{3}{8}-3\\=-\frac{64}{24}+\left(-\frac{6}{24}\right)+\left(-\frac{44}{24}\right)+\frac{9}{24}-3\\\\=\frac{-64+(-6)+(-44)+9}{24} -3\\\\=\frac{-70+(-44)+9}{24} -3\\\\=\frac{-114+9}{24} -3\\\\=\frac{-105}{24}-3 \\\\=\frac{-35}{8}-3\\ \\=-4\frac{3}{8}-3\\\\=-7\frac{3}{8}$

So our solution is -7 3/8

8 0

3 years ago

Given line BD is congruent to BC, find the measure of angle B

Degger [83]

If BD is congruent to BC, that means that the sides are equal, so their angles are too.
6x-9 = 3x+24
3x = 33
x = 33/3
x = 11
Angle BCD:
6×11-9 = 66-9 =57°
Angle BDC:
3×11+24 = 33+24 = 57°
Angle B:
x = 180° - 2×57°
x = 66°

5 0

3 years ago