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2 years ago

Write an equation for a line perpendicular to y = − 4 x + 5 and passing through the point (-12,-4)

Mathematics

1 answer:

cupoosta [38]2 years ago

3 0

Answer:

$y=\frac{1}{4} x-1.$

Step-by-step explanation:

1) if the lines are perpendicular, then the second slop is 0.25;

2) the equation of the 2d line is y=0.25x+i, where i - unknown intercept;

3) it is possible to calculate the unknown intercept, if to substitute the given coordinates into the equation y=0.25x+i:

-4=-12*0.25+i; ⇔ i=-1.

4) finally, the required equation is:

$y=\frac{1}{4} x-1.$

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A sphere has a volume of 1,436. 03m3, what is the approximate length of its radius?.

makkiz [27]

The sphere with the volume 1436.03 m³ has 7m long radius.

To find out the approximate length of its radius by using the formula to calculate volume of sphere is:

V= 4πr³/3

The value of π is 22/7 or 3.14.

So, V = 4 × 3.14 × r³ / 3

Volume of the sphere is given which is 1436.03 m³.

Thus, r³ = 1436.03×3 / 4×3.14

r = ³√ 4308.09/12.56 = ³√343 = 7 m.

Hence, the radius of the given sphere is 7 m.

The cube root of a number is the factor that we multiply by itself three times to get that number.

For example, the cube root of 27 is 3.

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2 years ago

Complete the truth table.

Elza [17]

Answer:

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3 years ago

3\4÷3= answer ????? help me

belka [17]

Before you start the job, gather up your tools.

You need three tools for this job. Let's make sure
you remember how to use them:

#1). 3 is the same thing as 3/1

#2). When you need to divide fractions, turn the
second one upside down, and then multiply them.

#3). When you're multiplying fractions, multiply the numerators
to get the numerator of the answer, and multiply the denominators
to get the denominator of the answer.

Those are the tools you need to solve this problem.

1). 3/4 divided by 3 is the same as 3/4 divided by 3/1 .

2). To divide by 3/1, multiply by 1/3 .

Now you have 3/4 times 1/3 .

3). That's the same as (3 x 1) / (4 x 3) = 3/12 =<em> 1/4</em>

4 0

3 years ago

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Can you use the Law of Cosines if you are given a = 41, b = 55 and m angleA =56 degrees the measure of angle A equals 56 degrees

Alchen [17]

Quick answer: no you cannot.

Details:

The law of cosines relates between two adjacent sides and the included angle to calculate the third side (opposite to the included angle).

Any combinations of data giving 3 of the above-mentioned pieces of information will enable us to calculate the fourth. Otherwise, the sine rule is used to calculate some of the angles or sides before cosine rule can be used, if at all necessary.

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4 years ago

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How do you enlarge a triangle by scale factor 1 3?

Scilla [17]

We can enlarge a triangle by the scale factor of 1/3, by multiplying the shape by a scale factor of 1/3.

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

A description of a dilation includes the scale factor (or ratio) and the center of the dilation.

• The center of dilation is a fixed point in the plane.

• If the scale factor is greater than 1, the image is an enlargement (a stretch).

• If the scale factor is between 0 and 1, the image is a reduction (a shrink).

• If the scale factor is 1, the figure and the image are congruent.

With all the vertices (corners) of the shape transformed, the enlarged shape can be drawn:

By multiplying the shape by a scale factor of 1/3,

the enlarged shape is a 1/3 of the size and a 1/3 the distance from the center of enlargement.

Hence, we can enlarge a triangle by the scale factor of 1/3, by multiplying the shape by a scale factor of 1/3.

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1 year ago