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GREYUIT [131]
2 years ago
7

Write the equation of the line that passes through the following points. (3, 1) (1,7)

Mathematics
1 answer:
Marina CMI [18]2 years ago
4 0

Answer:

y=-3x+10

Step-by-step explanation:

Slope formula y2-y1/x2-x1

7-1/1-3

simplify

6/-2

simplify

-3

now plug -3 into y=mx+b

y=-3(x)+b

choose any point and plug it into the equation, I am using (3,1)

1=-3(3)+b

simplify

1=-9+b

add 9 to both sides

b=10

plug into slope-intercept form

y=-3x+10

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On a certain hot​ summer's day, 645 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for
VladimirAG [237]

Answer:

327 children and 318 adults

Step-by-step explanation:

The x be the amount of children and y be the amount of adults that were at the swimming pool. We can use this to set up a system of equations:

x+y=645

1.75x+2.50y=1367.25

Move y to the other side in the first equation to isolate x and solve the system using substitution:

x=645-y

  1.75(645-y)+2.50y=1367.25

Distribute

1128.75-1.75y+2.50y=1367.25

         1128.75+0.75y=1367.25

Subtract 1128.75 from both sides

                        0.75y=238.5

Divide both sides by 0.75

                                y=318

x=645-y

x=645-318

x=327

327 children and 318 adults swam at the pool that day

4 0
2 years ago
PLEASE HELP ASAP are similar isosceles triangles. What is the ratio of the sides? Using Complete sentences, explain how you coul
gregori [183]

Answer:

If an angle of 1 isosceles triangle is congruent to an angle of another isosceles triangle the triangles are similar. sometimes If the corresponding sides of 2 similar triangles are in a ratio of 3:4 then the there perimeters are in a ratio of 3:4. brainlist

Step-by-step explanation:

7 0
3 years ago
Let P be the parabola with focus (0,4) and directrix y=x.Write an equation whose graph is a parabola with a vertical directrix t
prisoha [69]

Answer:

y²=4√2.x

Step-by-step explanation:

The focus is at (0,4) and directrix is y=x or x-y =0, for a parabola P.

The distance between the focus and the directrix of the parabola P is

\frac{ |0-4| }{\sqrt{(1)^{2}+(-1)^{2}  } }=\frac{4}{\sqrt{2} }

{Since the perpendicular distance of a point (x1, y1) from the straight line ax+by+c =0 is given by \frac{ |ax1+by1+c| }{\sqrt{a^{2}+b^{2}  } } }

Let us assume that the equation of the parabola which is congruent with parabola P is y²=4ax

{Since the parabola has vertical directrix}

Hence, the distance between focus and the directrix is 2a = \frac{4}{\sqrt{2} }, {Two parabolas are congruent when the distances between their focus and the directrix are same}

⇒ a=√2

Therefore, the equation of the parabola is y²=4√2.x (Answer)

3 0
3 years ago
Find the number that makes each statement true.
Harrizon [31]
1) 30
2) 800
3) 500
4) 4,000
5) 9
6) 600
7) 7,000
8) 200,000
9) 2,000 * 10 = 20,000. 20,000 * 10 = 200,000.
6 0
3 years ago
Find −2310+425. Write your answer as a mixed number in simplest form.
Kamila [148]
Answer: -1885/1

Explanation: The solution to -2310 added to 425 is -1885. And in order to make this whole number a fraction, you must add a 1 as the denominator.
3 0
3 years ago
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