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aksik [14]
3 years ago
5

What is the equation in point-slope form of a line that passes through the points (7, −8) and (−4, 6) ?

Mathematics
1 answer:
Aleks04 [339]3 years ago
5 0
First you differentiate to find the gradient

dy/dx = (6 - - 8) / (-4 - 7)
          = 14 / -11
          = - 14/11

Then you use this formula
y - y1 = m (x - x1)

y1 being the y coordinate
x1 being the x coordinate
m being the gradient (or slope)

y - 6 = -14/11 (x - - 4)
y - 6 = -14/11x - 56/11
y = -14/11x + 10/11
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Are these figures are similar? If so, what is the scale factor?
tester [92]

Answer:

Yes, the scale factor is 0.6 repeating, or 0.7.

Step-by-step explanation:

You find the scale factor by dividing the smaller sides by the corresponding larger ones.

12/18 = 0.6 repeating

14/21 = 0.6 repeating

16/24 = 0.6 repeating

These triangles could be similar by SSS or SAS or ASA I think since congruent angles are shown in both triangles as well.

8 0
3 years ago
Jessica is a custodian at Oracle Arena. She waxes 20 m² of the floor in = of an hour. Jessica
Wewaii [24]

The complete question is as follows:

Jessica is a custodian at Oracle Arena. She waxes 20 \mathbf{m^{2}} of the floor in \mathbf{\frac{3}{5}} of and hour. At this rate, how many square meters can she wax per hour ?

Answer:

\mathbf{\frac{100}{3}\approx33.33 \ m^{2} \ per \ hour}

Step-by-step explanation:

\textrm{rate}=\frac{\textrm{Area waxed in square meter}}{\textrm{Time taken to wax in hours}}

\textrm{rate}=\frac{20 \ \textrm{m}^{2}}{\frac{3}{5} \ \textrm{hours}}

\textrm{rate}=\frac{20\times5}{3}

\mathbf{rate=\frac{100}{3}\approx33.33 \ m^{2} \ per \ hour}

8 0
4 years ago
What is relationship between the unit fractions,1/2 and1/10? Describe both the number and size of the parts
Anna35 [415]
The two fractions are divisible by 2, can be broken down 
6 0
4 years ago
Mary plants roses in 1/4 of her garden. She also plants some tulips in her garden. She has 1 1/2 of the garden left to plant mor
8_murik_8 [283]

Answer:

Step-by-step explanation:

3 0
3 years ago
I am so confused plz no spam answers or I will report them and there are not any answer choices
GalinKa [24]
This problem is a multi step problem. All you have to do is break it down into parts to make it easier. We can start by finding the diameter of the inner circle. 

1. circumference = πd   (Since the circumference is given as 44, and we know to use 22/7 for π, divide 44 by 22/7 to get d.) 
         44 / 22/7 = about 14.0 when rounded

2. Now add +8 to the 14 since we know that there are 4 ft. on both sides of the small inner circle. 
         14 + 8 = 22

3) The last step gave us the diameter of the bigger outer circle. Now, we have to plug in the 22 for d in the formula for circumference to find the circumference of the outer circle. 
         c = πd  →  c = 22 * 22/7 = 484/7 (484/7 = about 69 when rounded as a decimal)

4) The last step now is to subtract the circumferences, since the problem was asking for how much greater the outer circle's circumference is than the inner circle. 
       69 - 44 = 25

Your answer should be about 25 ft.

********** Note the answer they are looking for may be slightly different depending on whether they were looking for a fraction or decimal answer and where they rounded. ********************************************************



6 0
4 years ago
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