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3 years ago

Solve each equation and check.show all work please.

Mathematics

2 answers:

sweet [91]3 years ago

5 0

Multiply both sides by 17.
17•(13/17)y=26•17 you’ll get 13y=442.
Divide both sides by 13.
13/(13)y=442/13
You’ll get y= 34.

klio [65]3 years ago

4 0

I got this answer
You can substitute “y” back to check

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1) 3 (x - y)² - 10 (x-y) + 8

katovenus [111]

Answer:

$(3x-3y-4)(x-y-2)$

Step-by-step explanation:

Given expression:

$3(x-y)^2-10(x-y)+8$

Let u = (x - y):

$\implies 3u^2-10u+8$

To factor a quadratic in the form $ax^2+bx+c$ find two numbers that multiply to $ac$ and sum to $b$ :

$\implies ac=3 \cdot 8=24$

$\implies b=-10$

Therefore, the numbers are: -6 and -4.

Rewrite $b$ as the sum of these two numbers:

$\implies 3u^2-6u-4u+8$

Factor the first two terms and the last two terms separately:

$\implies 3u(u-2)-4(u-2)$

Factor out the common term (u - 2):

$\implies (3u-4)(u-2)$

Substitute back in u = (x - y):

$\implies (3(x-y)-4)((x-y)-2)$

Simplify:

$\implies (3x-3y-4)(x-y-2)$

3 0

2 years ago

Mrs. Bollo's second grade class of thirty students conducted a pet ownership survey. Results of the survey

Arisa [49]

30 students only 8 students own only a cat.

3 0

3 years ago

A line has a slope of

ahrayia [7]

a) What is the slope of the line parallel to it?

Parallel lines will never intersect, meaning they have equivalent slopes, so the answer to this part is -(6/5).

b) What is the slope of the line perpendicular to it?

Perpendicular lines will intersect, creating a 90-degree angle, meaning all values in the graphs have been flipped. Thus, the slope of any perpendicular line is the negative reciprocal of the given slope (-1/x). The negative reciprocal of -(6/5) is 5/6, so that is the answer.

8 0

1 year ago

Consider an object moving in the plane whose location at time t seconds is given by the parametric equations: x(t)=4cos(πt) y(t)

VMariaS [17]

Answer:

Since the parametric equation is given as

$x(t)=4cos(\pt t),y(t)=4sin(\pi t)\\\\\therefore x(t)^{2}+y(t)^{2}=16cos^{2}(\pi t)+16sin^{2}(\pi t)\\\\x(t)^{2}+y(t)^{2}=16\\\\$

$\therefore \frac{x^{2}}{4^{2}}+\frac{y^{2}}{4^{2}}=1\\\\comparingwith\\\\\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1\\\\\therefore a=4,b=4$

4 0

3 years ago

Read 2 more answers

Find the solution set for the following inequality: 5|x+3|−7≤13

xxMikexx [17]

Answer:

x ≤ 1

Step-by-step explanation:

5(x+3) - 7≤13

5x+3 - 7≤ 13

5x+15-7 ≤ 13

5x+15 ≤ 13+7

5x+15 ≤ 20

5x ≤ 20-15

5x ≤ 5

x ≤ 1

3 0

3 years ago

Solve each equation and check.show all work please.​

Solve each equation and check.show all work please.