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4 years ago

Tyler tried to solve an equation step bily step 3(x + 4)= -18

Mathematics

2 answers:

DerKrebs [107]4 years ago

7 0

Answer:

x = -10

Step-by-step explanation:

3(x + 4) = -18

3x + 12 = -18

3x = -30

x = -10

oee [108]4 years ago

5 0

sorry i did it wrong

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Please help me with this question

BartSMP [9]

Answer:

$3x-28=2x+25\\x=53$

Step-by-step explanation:

Parallel lines cut by a transversal are two lines which do not cross intersected by a third line. Because lines such as m and n are parallel, we have angles which are equal to each other.

Corresponding Angles - angles located in the same position in each intersection. Can be shown by translating or sliding the angle down/up.
Alternate Interior Angles - angles located inside the parallel lines across the transversal. Can be shown by reflecting and translating or rotation.
Alternate Exterior Angles - angles located outside the parallel lines across the transversal. Can be shown by reflecting and translating or rotation.

Vertical angles - angles across a vertex from one another. Can be shown by reflection.

The angles shown here are located outside the parallel lines and across the transversal from each other. Therefore we have Alternate Exteroir angles and can set them equal to each other to solve for x.

$3x-28=2x+25\\3x-2x-28=2x-2x+25\\x-28=25\\x-28+28=25+28\\x=53$

We check our work and should get equal angles:

$3(53)-28=2(53)+25\\159-28=106+25\\131=131$

4 0

4 years ago

The diameter of a water molecule is about 0.0000003 millimeters, which can be written as 3x10^n millimeters. What is n?

pishuonlain [190]

Answer:

n = - 7

Step-by-step explanation:

$0.0000003 = 3 \times {10}^{ - 7} \\ \implies \: n \: = - 7$

8 0

4 years ago

Find the height "h" so that its area is equal to 400 square cm.

jenyasd209 [6]

Answer:

h = 20 cm

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) *h

where b1 and b2 are the two bases

We are given a =400 and b1 =27 and b2 =13

400 = 1/2 (27+13) *h

400 = 1/2 (40) *h

400 = 20h

Divide each side by 20

400/20 = 20h/20

20 =h

8 0

3 years ago

Find the differential of each function. (a) y = tan( 5t ) dy = Correct: Your answer is correct. (b) y = 5 − v2 5 + v2

Trava [24]

Answer:

$(a)$ $dy = 5sec^2(5t) \ dt$

$(a) \ dy = \frac{-20v}{(5+v^2)^2} \ dt$

Step-by-step explanation:

Given;

(a) y = tan(5t)

$(b) \ y = \frac{5-v^2}{5+v^2}$

Solving for (a)

y = tan(5t)

let u = 5t

⇒y = tan(u)

du/dt = 5

dy/du = sec²u

$\frac{dy}{dt} =\frac{dy}{du} *\frac{du}{dt} \\\\\frac{dy}{dt} = sec^2(u)*5\\\\\frac{dy}{dt} = 5sec^2(u)\\\\\frac{dy}{dt} = 5sec^2(5t)$

$dy = 5sec^2(5t) \ dt$

Solving for b;

let u = 5 - v²

du/dv = -2v

let v = 5+ v²

dv/du = 2v

$\frac{dy}{dv} = \frac{vdu - udv}{v^2} \\\\\frac{dy}{dv} = \frac{-2v(5+v^2) - 2v(5-v^2)}{(5+v^2)^2}\\\\\frac{dy}{dv} = \frac{-10v-2v^3-10v+2v^3}{(5+v^2)^2}\\\\$

$\frac{dy}{dv} = \frac{-10v-10v}{(5+v^2)^2}\\\\\frac{dy}{dv} = \frac{-20v}{(5+v^2)^2}\\\\dy = \frac{-20v}{(5+v^2)^2} dt$

4 0

3 years ago

3c =______________fl oz

Harlamova29_29 [7]

3 cups=24 fluid ounces.

8 0

3 years ago

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