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2 years ago

Write an equation of a line that passes through the point (-5,3) and is parallel to the line y = -2x + 5.

Mathematics

1 answer:

zimovet [89]2 years ago

8 0

Answer:

Step-by-step explanation:

y = -2x+5

slope of line is -2.

slope of parallel to line is also -2

point-slope equation for line of slope -2 that passes through (-5,3):

y-3 = -2(x+5)

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Which equation finds the volume of a cube with a side length of 2n6 units?

Xelga [282]

Answer:

Volume of the cube = (2n6)³

Step-by-step explanation:

Volume of a cube = L*B*H

Volume of a cube= L*L*L=L³ (since all the sides of the cube are equal.

Volume of the cube = (2n6)³

7 0

2 years ago

Which expression is equivalent to this expression? x(2x+3) Question 1 options: 2x2+3 2x2+3x 2x2−3x 3x + 3

sleet_krkn [62]

Answer:

$2x^2+3x$ is the expression which is equivalent to $x\left(2x+3\right)$ .

In other words:

$x\left(2x+3\right)=2x^2+3x$

Step-by-step explanation:

Given the expression

$x\left(2x+3\right)$

solving

$x\left(2x+3\right)$

$\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac$

$a=x,\:b=2x,\:c=3$

$=x\cdot \:2x+x\cdot \:3$

$=2xx+3x$

$=2x^2+3x$ ∴ $2xx=2x^2$

Thus,

$x\left(2x+3\right)=2x^2+3x$

Therefore, $2x^2+3x$ is the expression which is equivalent to $x\left(2x+3\right)$ .

8 0

2 years ago

Write the sentence as an equation. 328 is the quotient of 36 and b FAST

OleMash [197]

$328 = \dfrac{36}{b}$

6 0

2 years ago

A light bulb consumes 3600 watt-hours in 3 days and 18 hours. How many watt-hours does it consume per day?

Tasya [4]

18 hours = 18/24 reduces to 3/4 of a day

3/4 = 0.75

so 3600/3.75 = 960 watts per day

3 0

2 years ago

Read 2 more answers

Find the lengths of the missing side . Simplify all radicals !!! help mee!!!!!!

larisa86 [58]

Answer:

$e = 13\sqrt{2}$

$f = 13\sqrt{2}$

Step-by-step explanation:

The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.

Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:

Finding e:

$sin(\theta) = \frac{opp}{hyp}$

$sin(\theta) = sin(45) = \frac{\sqrt{2}}{2}$

hyp = 26

opp = e = ?

Plug in the values into the formula

$\frac{\sqrt{2}}{2} = \frac{e}{26}$

Multiply both sides by 26

$\frac{\sqrt{2}}{2}*26 = \frac{e}{26}*26$

$\frac{\sqrt{2}}{2}*26 = e$

$\frac{\sqrt{2}}{1}*13 = e$

$13\sqrt{2} = e$

$e = 13\sqrt{2}$

Since side e is of the same length with side f, therefore, the length of side f = $13\sqrt{2}$

3 0

2 years ago