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2 years ago

- 3x + y = 3 2y = -3x - 12

Mathematics

1 answer:

Lynna [10]2 years ago

8 0

Answer:

x=-2, y=-3

Step-by-step explanation:

we can rearrange the questions to make it easier

y=3x+3

2y=-3x-12

if you add the two equations, you get

3y=0x-9

so y=-9/3 = -3

plug y into one of the equations

-3=3x+3

-6=3x

x=-2

and then check your work by plugging into the other equation:

2*-3=-3(-2)-12

-6=6-12

-6=-6

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Complete the table below using the Midpoint and Distance Formulas.

Zielflug [23.3K]

Answer:

Coordinates of M = (2, -1)

Length of AB = 10 units

Step-by-step explanation:

Coordinates of the midpoint (M) of the distance between A(2, 4) and B(2, -6)

$M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$

Let $A(2, 4) = (x_1, y_1)$

$B(2, -6) = (x_2, y_2)$

Thus:

$M(\frac{2 + 2}{2}, \frac{4 +(-6)}{2})$

$M(\frac{4}{2}, \frac{-2}{2})$

$M(2, -1)$

Length of AB:

Distance between A(2, 4) and B(2, -6):

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$A(2, 4) = (x_1, y_1)$

$B(2, -6) = (x_2, y_2)$

$AB = \sqrt{(2 - 2)^2 + (-6 - 4)^2}$

$AB = \sqrt{(0)^2 + (-10)^2}$

$AB = \sqrt{0 + 100} = \sqrt{100}$

$AB = 10$

5 0

3 years ago

PLEASEEEEEE HELP ME WITH THIS PLEASE

Maksim231197 [3]

Question 1

$r(q(-2))=r(3)=11$

Question 2

$q(r(-2))=q(6)=-13$

8 0

2 years ago

With a full ink cartridge, the printer can print 2,500 pages. The printer cartridge is now 37% full. Which is the best estimate

stira [4]

Answer: 925 pages

Step-by-step explanation:

From the question, we are told that with a full ink cartridge, a printer can print 2,500 pages but that the printer cartridge is now 37% full.

The best estimate of the number of pages the printer can still print will be calculated as:

= 37% × 2500

= 0.37 × 2500

= 925 pages

4 0

3 years ago

Solve x/9 + 1/3 = -4/3<br> The solution is x = ?

nydimaria [60]

Answer:

x = - 15

Step-by-step explanation:

$\frac{x}{9}$ + $\frac{1}{3}$ = - $\frac{4}{3}$ ( multiply through by 9 to clear the fractions )

x + 3 = - 12 ( subtract 3 from both sides )

x = - 15

6 0

2 years ago

Read 2 more answers

Find the area of a triangle whose sides are 5 m, 6 m and 9m,( use root 2 =-1.41 m)

dlinn [17]

The area of the triangle is 14.1 square meters

<h3>How to determine the triangle area?</h3>

The side lengths are given as:

5m, 6m and 9m

Calculate the semi-perimeter (s) using

s = (5 + 6 + 9)/2

Evaluate

s = 10

The area is then calculated as:

$Area = \sqrt{s(s -a)(s-b)(s-c)$

This gives

$Area = \sqrt{10 * (10 -5)(10-6)(10-9)$

Evaluate the products

$Area = \sqrt{200$

Evaluate the exponent

Area = 14.1

Hence, the area of the triangle is 14.1 square meters