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3 years ago

(y^-5)^-10y^10the answers are in the image

Mathematics

1 answer:

fredd [130]3 years ago

6 0

Answer:

$\large\boxed{y^{60}}$

Step-by-step explanation:

$(y^{-5})^{-10}y^{10}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=y^{(-5)(-10)}y^{10}=y^{50}y^{10}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=y^{50+10}=y^{60}$

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Find the value of x, y, and z in the parallelogram below.

telo118 [61]

The values of x, y, and z of the parallelogram are -19°, -115° and 27°

<h3>What is a parallelogram?</h3>

A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length. The Sum of adjacent angles of a parallelogram is equal to 180 degrees.

for a parallelogram opposite angles are equal

-4x -1 = 75

-4x = 76

x = 76/-4

x = -19°

sum of adjacent angles are supplementary

(-y-10) + 75 = 180

-y + 65 = 180

-y = 180 - 65

-y = 115

y = -115°

Also

4z - 3 + 75 = 180

4z + 72 = 180

4z = 180 - 72

4z = 108

z = 108/4

z = 27°

In conclusion, the values of x = -19, y = -115, z = 27

Learn more about Parallelogram: brainly.com/question/20526916

#SPJ1

8 0

1 year ago

one end of a ten- foot ladder is four feet from the base of a wall . how high on the does the top of the ladder touch ??

Jet001 [13]

Answer:

9,2 feet

Step-by-step explanation:

Use the Pythagorean theorem: height= sqrt(10^2-4^2)= sqrt(84) =9,2 ~

sqrt Is Square root btw

8 0

3 years ago

Adding fractions with unlike denominators

hodyreva [135]

Multiply the 3 times 4. Then do the same on the top.

8 0

3 years ago

I am an improper fraction whose numerator and denominator are made of odd digits only. In my simplest form, my representation as

ASHA 777 [7]

Answer:

The fraction is = $\frac{21}{9}$

Step-by-step explanation:

In simplest form the fraction is represented in mixed number as $2\frac{1}{3}$ .

The fraction form of the mixed number can be given as :

$2\frac{1}{3}=\frac{7}{3}$

Let the fraction be = $\frac{7x}{3x}$ [As multiplying same numbers to numerator and denominator does not affect the proportion.

Sum of numerator and denominator is = 30

This, can be represented as:

$7x+3x=30$

Solving for $x$ .

$10x=30$

Dividing both sides by 10.

$\frac{10x}{10}=\frac{30}{10}$

$x=3$

So, the fraction will be = $\frac{7\times 3}{3\times 3}$

⇒ $\frac{21}{9}$

3 0

3 years ago

Complete the square to the problem X^2+6x-16=0

marishachu [46]

Answer:

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\-------------------------------\\\\x^2+6x-16=0\qquad\text{add 16 to both sides}\\\\x^2+6x=16\\\\x^2+2(x)(3)=16\qquad\text{add}\ 3^2\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=16+3^2\\\\(x+3)^2=16+9\\\\(x+3)^2=25\Rightarrow x+3=\pm\sqrt{25}\\\\x+3=-5\ \vee\ x+3=5\qquad\text{subtract 3 from both sides}\\\\\boxed{x=-8\ \vee\ x=2}$

3 0

3 years ago

(y^-5)^-10y^10the answers are in the image​

(y^-5)^-10y^10the answers are in the image