All categories

2 years ago

I will mark brainliest

Mathematics

1 answer:

yulyashka [42]2 years ago

8 0

Angles a and e! they’re alternate interior angles, therefore they are congruent.

You might be interested in

Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y1 = x2 + 2x + 3 y2 = 2x + 12F

Svet_ta [14]

Answer:

$A = \int\limits^3__-3}{9}-{x^{2}} \, dx = 36$

Step-by-step explanation:

The equations are:

$y = x^{2} + 2x + 3$

$y = 2x + 12$

The two graphs intersect when:

$x^{2} + 2x + 3 = 2x + 12$

$x^{2} = 0$

$x_{1} = 3\\x_{2} = -3$

To find the area under the curve for the first equation:

$A_{1} = \int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

To find the area under the curve for the second equation:

$A_{2} = \int\limits^3__-3}{2x + 12} \, dx$

To find the total area:

$A = A_{2} -A_{1} = \int\limits^3__-3}{2x + 12} \, dx -\int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

Simplifying the equation:

$A = \int\limits^3__-3}{2x + 12}-({x^{2} + 2x + 3}) \, dx = \int\limits^3__-3}{9}-{x^{2}} \, dx$

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).

3 0

3 years ago

What is the equation of a line that contains the points (2,-2) and (0, -2)? y = 0

kvasek [131]

Y=-2 should be the answer

8 0

3 years ago

What is 1/6 divided by 4

Ksju [112]

Answer: 1/24 or 0.0416

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The diameter of the moon is about 3500 km. Approximate the surface area of the moon using the formula for the surface area of a

Contact [7]

Answer:

$3.8465 *10^7$ square kilometers

Step-by-step explanation:

The surface area of a sphere can be found using the formula $SA=4\pi r^2$ . Since the diameter is 3500 km then its radius is half of this. 3500 divided in two is 1,750 units. Substitute r=1,750.

$SA=4\pi r^2\\SA = 4 \pi (1750)^2\\SA = 4 \pi *3,062,500\\SA =38,465,000$

The surface area of the moon is about 38,465,000 square kilometers. Write this is scientific notation using base. $3.8465 *10^7$

4 0

3 years ago

HELP PLEASE ASAP

3241004551 [841]

Answer:

c. 1/4 x 40

Step-by-step explanation:

25% = 1/4

so the most logical option would contain 1/4, which is c.

5 0

3 years ago