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2 years ago

5. y = (x + 5)2 – 25

Mathematics

1 answer:

Oksana_A [137]2 years ago

4 0

Answer:

Step-by-step explanation:

25+x=25x

25-25=0

y=0

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Angela tried to solve an equation step by step. \begin{aligned} \dfrac34+m&=\dfrac54\\\\ \dfrac34+m-\dfrac34&=\dfrac54+\

Liono4ka [1.6K]

Answer:

The mistake she made was ; She didn't change the sign when subtracting -3/4 from both sides

She wrote 5/4+3/4 instead of 5/4-3/4

Step-by-step explanation:

Correct solution:

$\frac{3}{4} + m = \frac{5}{4}$

Subtract-3/4 from both sides

$\frac{3}{4} - \frac{3}{4} + m = \frac{5}{4} - \frac{3}{4}$

Simplify

$m = \frac{5}{4} - \frac{3}{4} \\ m = \frac{1}{2}$

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2 years ago

Find the value of x in the triangle shown below.

almond37 [142]

Answer:

x=69.41860973

Step-by-step explanation:

We can use the law of sines

sin x sin 55

------------- = -----------

4 3.5

Using cross products

3.5 sin x = 4 sin 55

Divide each side by 3.5

sin x = 4/3.5 sin 55

Take the inverse sin of each side

x = sin ^-1 ( 4/3.5 sin 55)

x=69.41860973

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2 years ago

When 3a? – 7a+ 6 is subtracted from 4a? - 3a +4,<br> the result is

Evgen [1.6K]

Step-by-step explanation:

(3a-7a+6)-(4a-3a+4)

(-4a+6)-(1a+4)

Add the remaining a's together, as well as the 6 and 4.

you get,

-3a+10

8 0

2 years ago

1. Find the slope of the line passing through (-3,-4) and (-6,-2).

r-ruslan [8.4K]

Answer:

slope = - $\frac{2}{3}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, - 4) and (x₂, y₂ ) = (- 6, - 2)

m = $\frac{-2+4}{-6+3}$ = $\frac{2}{-3}$ = - $\frac{2}{3}$

8 0

2 years ago

Read 2 more answers

What is the distance to the Earth's Horizon from point P? Enter enter the decimal in the Box round only your final answer to the

Tasya [4]

Answer:

<h2>The distance to the Eath's Horizon from point P is 352.8 mi, approximately.</h2>

Step-by-step explanation:

You observe the problem from a graphical perspective with the image attached.

Notice that side $x$ is tangent to the circle, which means is perpendicular to the radius which is equal to 3,959 mi.

We have a right triangle, that means we need to use the Pythagorean's Theorem, to find the distance to the Earth's Horizon from point P.

The hypothenuse is 3959 + 15.6 = 3974.6 mi.

$(3974.6)^{2}=x^{2} +(3959)^{2} \\x^{2} =15,797,445.16 - 15,673,681\\x=\sqrt{123,764.16} \approx 351.8$

Therefore, the distance to the Eath's Horizon from point P is 352.8 mi, approximately.

4 0

2 years ago