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3 years ago

What is the length of AD, in centimeters?

Mathematics

2 answers:

LekaFEV [45]3 years ago

8 0

Answer:

AD=2

Step-by-step explanation:

$\frac{6}{12} =\frac{AB}{20} \\AB=\frac{6}{12} \times 20=10\\AD+DF+FB=10\\AD+6+FB=10\\AD+FB=10-6=4\\AD+AD=4 ( \because ~FB=AD )\\2AD=4\\AD=4/2=2$

photoshop1234 [79]3 years ago

3 0

AD=2 I just took test

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Find equation of a line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.

attashe74 [19]

Answer:

5x + y = -28

Step-by-step explanation:

Hi there!

We're given that a line has a slope of -5 and contains the point (-4, -8)

We want to write the equation of this line in standard form

Standard form is given as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be zero, and a cannot be negative

Before we write the equation in standard form however, we need to write it in slope-intercept form, which is y=mx+b, where m is the slope & b is the y intercept

As we are already given the slope, we can immediately plug that in for m in y=mx+b

y=-5x+b

Now to find b:

As the equation passes through the point (-4, -8), we can use its values to help solve for b

Substitute -4 as x and -8 as y:

-8 = -5(-4) + b

Multiply

-8 = 20 + b

Subtract 20 from both sides

-8 = 20 + b

-20 -20

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-28 = b

substitute -28 as b

y = -5x - 28

We found the equation in slope-intercept form, but remember, we want it in standard form

In standard form, both x and y are on the same side; so, let's move 5x to the other side; to do this, we need to add 5x to both sides

y = -5x - 28

+5x +5x

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5x + y = -28

Hope this helps!

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1 year ago

Find the circumference of the circle with the given radius or diameter. (Use 3.14 for π.) Diameter is 10cm

AlladinOne [14]

Answer:

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3 years ago

The equation c= 0.25n can be used to find the cost (c) of buying n number of apples.

aksik [14]

Answer:

(a) The constant of proportionality is 0.25

(b) 1 apple = $0.25

Step-by-step explanation:

Given

$c= 0.25n$

Solving (a): The constant of proportionality;

For an equation:

$c=kn$

Where

k = constant of proportionality

By comparing: $c=kn$ to $c= 0.25n$

$k = 0.25$

Hence, the constant of proportionality is 0.25

Solving (b): What information does $k = 0.25$ gives.

It represents the unit rate.

<em>So, it means that 1 apple costs $0.25</em>

Solving (c): Number of apples for $3.

This means that $c = 3$

Substitute 3 for c in $c= 0.25n$

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Make n the subject

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3 years ago