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3 years ago

Use the given conditions to write an equation for each line in point-slope form and slope-intercept form.

Mathematics

1 answer:

anyanavicka [17]3 years ago

7 0

Answer:

$(y - 0) = \frac{1}{3} (x - 0)$

$y = \frac{1}{3} x$

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Serggg [28]

Answer:

value of sides YZ is 36 cm

Step-by-step explanation:

Similar triangles states that the length of the corresponding sides are in proportion.

Given that: ΔABC is similar to ΔXYZ

then;

Corresponding sides are in proportion i.e

$\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}$ .....[1]

As per the statement:

side AB = 6 cm, side BC =18 cm and side XY = 12 cm.

Substitute these in [1] to solve for side YZ;

$\frac{6}{12}= \frac{18}{YZ}$

$\frac{1}{2} = \frac{18}{YZ}$

By cross multiply we have;

$YZ = 36$ cm

Therefore, the value of sides YZ is 36 cm

4 0

3 years ago

Read 2 more answers

The regular price of a watch is $32.25. During a sale, the watch was marked 16% off. What was the price of the watch during the

Serga [27]

Answer:

$ 27.09

Step-by-step explanation:

Given,

The regular price of the watch = $ 32.25,

The marked off percentage or discount percentage, in the sale = 16%,

So, the amount of marked off = 16% of regular price

= 16% of 32.25

= 0.16 × 32.25

= $ 5.16

Hence, the the price of the watch during the sale = Regular price - marked off

= $ 32.25 - $ 5.16

= $ 27.09

Last option is correct.

6 0

3 years ago

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What is half of 1? Its from your bellybottom to your head.

Alexus [3.1K]

Half of 1 is 1/2 or 0.5

6 0

3 years ago

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How do you find the lateral area of a pentagonal prism?

Sloan [31]

AL=5ah!!!!!!!!!! Hope it helps

3 0

3 years ago

consider the function f(x) = x2 2x – 15. what are the x-intercepts of the function? left-most x-intercept: ( , 0) right-most x-i

eimsori [14]

we have

$f(x)=x^{2} +2x-15$

we know that

The x-intercept is the value of x when the value of the function is equal to zero

in this problem

Find the roots of the function

equate the function to zero

$x^{2} +2x-15=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2} +2x=15$

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^{2} +2x+1=15+1$

$x^{2} +2x+1=16$

Rewrite as perfect squares

$(x+1)^{2}=16$

Square root both sides

$(x+1)=(+/-)\sqrt{16}$

$(x+1)=(+/-)4$

$x=-1(+/-)4$

$x1=-1+4=3$

$x2=-1-4=-5$

$x^{2} +2x-15=(x-3)(x+5)$

therefore

<u>the answer is</u>

the x-intercepts are the points $(3,0)$ and $(-5,0)$

3 0

3 years ago

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