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3 years ago

Solve for c.Give an exact answer.0.2(10−5c)=5c−16

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

5 0

C = 3
You isolate the variable by dividing each side by factors that don’t contain the variable

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Find the slope of the line that passes through the following points: (2, -3), (-6, -8)

____ [38]

Answer:

its d 5/8

Step-by-step explanation:

use slope equation

m= y2-y1 / x2-x1

-8-(-3) /-6-2

-5/-8

5/8

8 0

3 years ago

The line y=−13x+4 passes through which of the following points?

topjm [15]

Option C

$\text{The line } y=\frac{-1}{3}x+4 \text { passes through } (3, 3)$

Solution:

Given that line is:

$y = \frac{-1}{3}x + 4$

Let us check the options one by one

Option A

(1, -4)

Substitute x = 1 and y = -4

$-4 = -\frac{1}{3} \times 1 + 4\\\\-4 = \frac{-1+12}{3}\\\\-12 = -1 + 12\\\\-12\neq 11$

Thus the line does not passes through (1, -4)

Option B

(6, 4)

Substitute x = 6 and y = 4

$4= \frac{-1}{3} \times 6+4\\\\-4 = -2 + 4\\\\-4\neq 2$

Thus the line does not passes through (6, 4)

Option C

(3, 3)

Substitute x = 3 and y = 3

$3 = \frac{-1}{3} \times 3 + 4\\\\3 = -1 + 4\\\\3 = 3$

Thus the line does not passes through (3, 3)

Option D

(0, -1)

Substitute x = 0 and y = -1

$-1 = \frac{-1}{3} \times 0 + 4\\\\-1\neq 4$

Thus the line does not pass through this point

3 0

3 years ago

Triangle ABC is shown on the grid. What is the perimeter of triangle ABC? A(-1,5) B (4, 5) C (-1,1). A 9+ sqr21 units. B 9+sqt29

Kruka [31]

Answer:

C, 9+ the square root of 41

Step-by-step explanation:

got it right on edge :)

9 0

3 years ago

Type the correct answer in each box

Luba_88 [7]

Answer:

We know that the equation of the circle in standard form is equal to (x-h)² + (y-k)² = r² where (h,k) is the center of the circle and r is the radius of the circle.

We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :

1 - We first group terms with the same variable :

(x²+8x) + (y²+22y) + 37 = 0

2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)

(x²+8x) + (y²+22y) = - 37

3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process "completing the square".

x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²

y²+22y = (y²+22y+11²)-11² = (y+11)²-11²

4 - We plug the new values inside our equation :

(x+4)² - 4² + (y+22)² - 11² = -37

(x+4)² + (y+22)² = -37+4²+11²

(x+4)²+(y+22)² = 100

5 - We re-write in standard form :

(x-(-4)²)² + (y - (-22))² = 10²

And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)

5 0

3 years ago

Rhea arrived at the mall at 3:45 pm she spent 45 minutes having lunch and then she shopped for 55 minutes before leaving the mal

Greeley [361]

Rhea spent 100 minutes or 1 hour and 40 minutes at the mall

3 0

4 years ago