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3 years ago

If three times a number is increased by 4, the result is -8. Determine the number.

Mathematics

1 answer:

Natali [406]3 years ago

3 0

Answer:

Step-by-step explanation:

let the number is x

3x+4=-8

3x=-8-4

3x=-12

x=-4

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Select the correct answer. If f(x) = |x| - 4, which translation is applied fo f(x) to get g(x)?

solmaris [256]

Answer:

It is a vertical translation of f(x) four units downward.

Step-by-step explanation:

We are given the original equation f(x) = |x| and the transformed function is g(x) = |x| - 4.

It is clear that the transformed function that g(x) = f(x) - 4.

So, the y-value in g(x) is reduced by 4 units from the y-value of f(x) i.e. the transformation is by 4 units down of function f(x).

Therefore, it is a vertical translation of f(x) four units downward. (Answer)

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2 years ago

1) Venn-diagram of-<br> AUBUC={a,b,c,d,e}U{d,e,f,g,h,i}U{a,e,i,o,u}<br>

Naddika [18.5K]

Answer:

AUBUC= { a,b,c,d,e,f,g,h,i,o,u}

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3 years ago

The vertex of the parabola is at (-3,-2) which of the following could be its equation

ki77a [65]

D;x=-2(y+2)^2-3 is the equation

3 0

2 years ago

Read 2 more answers

Pls Help

vodomira [7]

First solve the triangle:
75° + 75° + x = 180°
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Therefore x = 30°
Then, use the geometrical property of vertically opposite angles.
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2 years ago

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GREYUIT [131]

The quadrilateral is a trapezoid and the area of the quadrilateral is 85.04 square units

<h3>How to determine the quadrilateral?</h3>

The vertices are given as:

A:(-2, 3) B:(4, -6) C:(10, 2) D:(6, 8)

Next, we plot the vertices (see attachment)

From the attached graph, we can see that the quadrilateral is a trapezoid

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

From the plot, we have the following features:

Height: AD

Parallel sides: CD and AB

Calculate the lengths using:

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

So, we have:

$AD = \sqrt{(-2 -6)^2 + (3 -8)^2}$

$AD = \sqrt{89}$

$CD = \sqrt{(10 -6)^2 + (2 -8)^2}$

$CD = \sqrt{52}$

$AB = \sqrt{(-2 -4)^2 + (3 +6)^2}$

$AB = \sqrt{117}$

The area is then calculated as:

Area = 0.5 * (CD + AB) * AD

This gives

Area = 0.5 * (√52 + √117) * √89

Evaluate

Area = 85.04

Hence, the area of the quadrilateral is 85.04 square units