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3 years ago

Solve each system of equations using matrices. -2x = -6y + 8 2y = x + 1

Mathematics

1 answer:

Elden [556K]3 years ago

6 0

Answer: 1.) x - 2y = 4 , add 2y to both sides. ---> answer is, X = 2y + 4

2.) 2x - 6y = 8, Add 6y to both sides, then divide both sides by 2. --> answer is, X = 3y + 4

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What is (10^9)^3 written as a single exponent

fenix001 [56]

9514 1404 393

Answer:

10^27

Step-by-step explanation:

Your calculator can help with this.

(10^9)^3 = 10^(9·3) = 10^27

The applicable rule of exponents is ...

(a^b)^c = a^(bc)

5 0

3 years ago

What is the slop of a line perpendicular to the line whose equation is 4x+6y=108. Reduce your answer

ahrayia [7]

Answer:

The slope of a line perpendicular to the line whose equation is 4x+6y=108 is $\frac{3}{2}$

Solution:

Given, line equation is 4x + 6y = 108.

We have to find the slope of the line which is perpendicular to the given line equation.

We know that, product of slopes of perpendicular lines equals to – 1

So, now, let us find the slope of the given line equation.

$\text { Slope of a line }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-4}{6}=\frac{-2}{3}$

Now,

slope of given line $\times$ slope of its perpendicular line = -1

$\frac{-2}{3} \times slope of perpendicular line = -1$

$\text { Slope of perpendicular line }=-1 \times \frac{3}{-2}=\frac{-3}{-2}=\frac{3}{2}$

Hence, the slope of the perpendicular line is $\frac{3}{2}$

3 0

3 years ago

Han earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he

Lemur [1.5K]

First you do $33.00/4 to get $8.25. Take the 8.25 and multiply it by 7 to get $57.75

8 0

3 years ago

Read 2 more answers

6x-2(-3x-5)=154 What the answer

Fofino [41]

Answer:

x = 12

Step-by-step explanation:

Simplifying

6x + -2(-3x + -5) = 154

Reorder the terms:

6x + -2(-5 + -3x) = 154

6x + (-5 * -2 + -3x * -2) = 154

6x + (10 + 6x) = 154

Reorder the terms:

10 + 6x + 6x = 154

Combine like terms: 6x + 6x = 12x

10 + 12x = 154

Solving

10 + 12x = 154

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.

10 + -10 + 12x = 154 + -10

Combine like terms: 10 + -10 = 0

0 + 12x = 154 + -10

12x = 154 + -10

Combine like terms: 154 + -10 = 144

12x = 144

Divide each side by '12'.

x = 12

Simplifying

x = 12

7 0

4 years ago

A, B, C, D, and E are collinear (same line) points. AE = 34, BD = 16, and AB = BC = CD. What is the length of CE?

Dafna11 [192]

Answer:

CE=26

Step-by-step explanation:

AB=BC=CD=8

BD=16

AD=24

AE-8=34-8=26

CD=26

4 0

3 years ago