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2 years ago

1) Choose the correct answer.

Mathematics

1 answer:

damaskus [11]2 years ago

6 0

Answer:

Intersection

Step-by-step explanation:

The intersection of two set A and B is defined as the elements which can be found in both set A and set B.

For instance :

A = {1, 3, 5, 7, 9, 11}

B = {2, 4, 6, 7, 8, 9, 10}

The intersection of the two sets A and B denoted as ;

AnB = {7, 9}

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The equation of the line WX is 2X plus Y equals -5 what is the equation of a line perpendicular to line WX in slope intercept fo

tensa zangetsu [6.8K]

Answer:

$y = \frac{1}{2}x - \frac{3}{2}$

Step-by-step explanation:

The equation of the line WX is, 2x + y = - 5

⇒ y = - 2x - 5 .......... (1)

This equation is in slope-intercept form and the slope is - 2 and the y-intercept is - 5.

Now, if a line perpendicular to equation (1) having slope m then, m × (- 2) = - 1

⇒ $m = \frac{1}{2}$

{Since the product of slopes of two mutually perpendicular straight line is - 1}

Therefore, the equation of the perpendicular line is

$y = \frac{1}{2}x + c$ , where c is a constant and we have to find it.

This above line passes through the point (-1,-2) and hence

$- 2 = \frac{1}{2}(- 1) + c$

⇒ $c = - \frac{3}{2}$

Therefore, the equation of the line will be $y = \frac{1}{2}x - \frac{3}{2}$ (Answer)

4 0

3 years ago

the width of the morros in shannon's bathroom is 4/9 its length. The area of the mirror is 576 square inches. What are the dimen

fredd [130]

W=4L/9

A=LW, using W found above gives us

A=L(4L/9)

A=4L^2/9 and we were told that A=576 so

4L^2/9=576 multiply both sides by 9

4L^2=5184 divide both sides by 4

L^2=1296 take the square root of both sides

L=36, and we know that W=4L/9 so

W=4(36/9)=16

So the dimensions are: width=16in and length=36in

5 0

2 years ago

ASAP someone please simply two exponents

zhannawk [14.2K]

Answer:

1.) $m^{15}$

2.) $=\frac{1}{y^{15}}$

Give me a comment if you want the explanation.

1.) $\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0$

$\left(m^3\right)^5=m^{3\cdot \:5}$

$\mathrm{Multiply\:the\:numbers:}\:3\cdot \:5=15$

$=m^{15}$

2.) $\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0$

$\left(y^{-3}\right)^5=y^{-3\cdot \:5}$

$=y^{-3\cdot \:5}$

$=y^{-15}$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}$

$=\frac{1}{y^{15}}$

4 0

2 years ago

If using the method of completing the square to solve the quadratic equation x^2-10x-13=0, which number would have to be added t

Maru [420]

Answer: The solution to the problem is based on the solutions

from the subproblems.

x = {8.464101615, 1.535898385}

Step-by-step explanation:

x^2-10x+13=0

Simplifying

x2 + -10x + 13 = 0

Reorder the terms:

13 + -10x + x2 = 0

Solving

13 + -10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.

13 + -10x + -13 + x2 = 0 + -13

Reorder the terms:

13 + -13 + -10x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0

0 + -10x + x2 = 0 + -13

-10x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13

-10x + x2 = -13

The x term is -10x. Take half its coefficient (-5).

Square it (25) and add it to both sides.

Add '25' to each side of the equation.

-10x + 25 + x2 = -13 + 25

Reorder the terms:

25 + -10x + x2 = -13 + 25

Combine like terms: -13 + 25 = 12

25 + -10x + x2 = 12

Factor a perfect square on the left side:

(x + -5)(x + -5) = 12

Calculate the square root of the right side: 3.464101615

Break this problem into two subproblems by setting

(x + -5) equal to 3.464101615 and -3.464101615.

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2 years ago

What is the sum of 2.5 × 104 and 3.4 × 104? (1 point)

Tju [1.3M]

Answer:

5.9× 10^4

Step-by-step explanation:

I'm assuming that by "104" you actually meant "10^4," which reads "fourth power of 10." Please be sure to use the symbol " ^ " to express exponentiation.

The sum of 2.5 × 10^4 and 3.4 × 10^4 is (2.5 + 3.4)×10^4

5.9× 10^4

7 0

2 years ago