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3 years ago

For which value of m is 4/16 = m/24 a proportion?

1 answer:

4 0

How does one get 24 from 16? Answer: Multiply 16 by (3/2). If we want 4/16 = m/24 to be a proportion, then multiply m by (3/2) also:

4 (3/2)m

------ * ----------------

16 24

To answer this question fully, we must solve for m:

Multiply

4 24

---- by --------- , which produces 96/24 = 4/1, or just 4. m = 4.

16 (3/2)

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Whats the answer? <br> and how did I get my answer?

Kamila [148]

Answer:

40°

Step-by-step explanation:

Angle 1 and Angle 2 are corresponding angles.

Corresponding angles are congruent, so 3x + 4 = 5x - 20

Solving 3x + 4 = 5x - 20

3x = 5x - 24

2x = 24

x = 12

Substitute angle 1

3x + 4 = 36 + 4 = 40

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3 years ago

A wheel on christine’s bicycle is 0.5 m in diameter christine races the bicycle for 50m how many times does the wheel turn as th

GarryVolchara [31]

Answer:

28.57

Step-by-step explanation:

3.14×0.5=1.750

50÷1.75=5000÷175 to eliminate the decimal points

5000÷175=28.571

then we round the answer to the nearest tenths

=28.57

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3 years ago

What is the equation of the parabola in vertex form with vertex (2,-4) and directrix y=-6

Pachacha [2.7K]

Answer:

$y=\dfrac{1}{8}(x-2)^2-4$

Step-by-step explanation:

The directrix y=-6 is parallel to the x axes, so parabola has equation of the form

$(x-x_0)^2=2px(y-y_0),$

where $(x_0,y_0)$ is the vertex of parabola and p is parabola's parameter.

By the definition, $\frac{p}{2}$ is the distance from the vertex to the directrix, so

$\dfrac{p}{2}=2\Rightarrow p=4$

Hence, the equation of parabola is

$(x-2)^2=8(y+4)$

See attached diagram for the graph of parabola and its directrix.

In vertex form this equation is

$y=\dfrac{1}{8}(x-2)^2-4$

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3 years ago

In a recent

qwelly [4]

Answer:collecting data

Step-by-step explanation:

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3 years ago

What is the domain associated with?

artcher [175]

Answer:

A domain name (often simply called a domain) is an easy-to-remember name that's associated with a physical IP address on the Internet. It's the unique name that appears after the at sign in email addresses, and after 3 w's in web addresses.

Step-by-step explanation:

i hope this helps :) if not sorryyy

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3 years ago