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3 years ago

Find the y intercept

Mathematics

2 answers:

erica [24]3 years ago

7 0

Step-by-step explanation:

Slope of line ST = Slope of line PQ = -3.

y = -3x + c

When x = 3, y = -1

=> (-1) = -3(3) + c, c = 8

Therefore the equation of line ST is y = -3x + 8 and the y-intercept is 8.

avanturin [10]3 years ago

7 0

Step-by-step explanation:

Hey there!

The given equation of line PQ is :

y = -3x -12.

Comparing the equation with y = mx + c. We get;Slope (m1)= -3

We know the condition of parallel lines is slope of 1st line = slope of 2nd line. (i.e m1=m2).

Therefore, slope of PQ= slope of ST = -3.

Now, The point through which ST passes is (3,-1) and we found its slope as -3.

So, let's use one point formula.

$(y - y1) = m2(x - x1)$

$(y + 1) = - 3(x - 3)$

$y + 1 = - 3x + 9$

$y = - 3x + 8$

Comparing the equation with y = mx+c. We get y-intercept is "8".

Therefore, y-intercept is "8".

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Find the solution set. |x|= 9 A. { } B. {-3 , 3} C. { -9, 9} D. {-81, 81}

Ierofanga [76]

Answer:

C. { -9, 9}

Step-by-step explanation:

An absolute value equation has 2 solutions, a positive and a negative

|x|= 9

x= +9 and x = -9

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3 years ago

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Can anyone help me with these i need them befire tomorrow

mash [69]

When you have a scale factor as percentage, is better to convert that percentage into a fraction by divide it by 100%. That way, it will be much easier to scale your figures.

1. The scale factor we need to apply to our rectangle is 60%. Firts, lets convert our scale factor into a fraction: $\frac{60}{100} = \frac{3}{5}$ . Next, we just need to multiply each side of our rectangle by our fraction:
length= $16( \frac{3}{5})=9.6$
width= $8( \frac{3}{5} )=4.8$
So, our new rectangle will have a length of 9.6 units and a width of 4.8 units.

2. This time the scale factor is 120%. Just as before, lets convert it into a fraction: $\frac{120}{100} = \frac{6}{5}$ , and just as before lets multiply each side of our triangle by our fraction:
base= $10( \frac{6}{5} )=12$
side= $8( \frac{6}{5} )=9.6$
So, our new isosceles triangle will have a base of 12 units and tow sides of length 9.6 units each.

3. This time the scale factor is 150%. Just as before, lets convert it into a fraction: $\frac{150}{100} = \frac{3}{2}$ , and just as before lets multiply each side of our polygon by our fraction:
$12( \frac{3}{2} )=18$
$15( \frac{3}{2} )=22.5$
$13( \frac{3}{2} )=19.5$
So, our new polygon will have a side of 12 length units, tow sides of 15 length units, and two side of 15 length units.

4. This time our factor is 75%. Just as before, lets convert it into a fraction: $\frac{75}{100} = \frac{3}{4}$ , and just as before lets multiply each side of our parallelogram by our fraction:
side= $25( \frac{3}{4} )=18.75$
So, our new parallelogram will have tow sides of length 18.75 units.

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3 years ago

What is the volume of a cereal box that is 2 inches thick, 12 inches high and 10 inches wide?

-Dominant- [34]

Answer:

240

Step-by-step explanation:

12 times 2 is 24

24 times 10 is 240

Have a nice day

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2 years ago

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10^6 in standard form

nalin [4]

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3 years ago

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Joe went on holiday to Spain.

Hunter-Best [27]

Answers:

a. £2,090
b. My answer would be less because my total in euros would be divided by a greater number when converting euros to pounds.

Work for part a:

Apartment: 560•3= 1680 euros

Car: 20.16•15= 302.4 euros

1680+302.4=1982.4

1982.4/1.12 = £x/1

1982.4 / 1.12= £1,770

£1,770 + £320 = £2,090 total

Work for part b:
Example:
(instead of 1.12 I put 2 to see what would happen with a greater number)
1982.4 / 2 = 991.2

991.2 is less than 1,770 (the answer I got with 1.12)

Let me know if you need any clarification! :)

7 0

3 years ago

Find the y intercept​

Find the y intercept