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777dan777 [17]
3 years ago
7

Find the distance between each pair of points.

Mathematics
1 answer:
scoundrel [369]3 years ago
5 0

Answer:

(-1, -1) and (-4,5)

Distance between them ,

\sqrt{   {( - 4 + 1)}^{2} +  {(5 + 1)}^{2} }

=  \sqrt{ {( - 3)}^{2}  +  {(6)}^{2} }

=  \sqrt{9 + 36}  =  \sqrt{45}  = 3 \sqrt{5}

Option B

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40 points I'll mark you as BRAINLIEST for the person with the right answers .
Karo-lina-s [1.5K]
9. y=-1/4x^2+4x-19
group
y=(-1/4x^2+4x)-19
undistribute -1/4
y=-1/4(x^2-16x)-19
take 1/2 of -16 and squer it to get 64 then add neg and pos inside
y=-1/4(x^2-16x+64-64)-19
factorperfect square
y=-1/4((x-8)^2-64)-19
expand
y=-1/4(x-8)^2+16-19
y=-1/4(x-8)^2-3
vertex is (8,-3)

10.
group
y=(1/4x^2-3x)+18
undistribute
y=1/4(x^2-12x)+18
take 1/2 of -12 and square it and add neg and pos isndie
y=1/4(x^2-12x+36-36)+18
factor
y=1/4((x-6)^2-36)+18
expand
y=1/4(x-6)^2-9+18
y=1/4(x-6)^2+9
get to form (x-h)^2=4p(y-k)
minus 9 both sides and times 4
(x-6)^2=4(y-9)
(x-6)^2=4(1)(y-9)
so 1>0 so opens up and focus is 1 above vertex
vertex is (6,9)
so focus i (6,10)





11.
y=(-1/6x^2+7x)-80
y=(-1/6)(x^2-42x)-80
take 1/2 of linear coefient and squer it and add negative and positive inside
-42/2=-21, (-21)^2=441
y=(-1/6)(x^2-42+441-441)-80
factor perfect square the square
y=(-1/6)((x-21)^2-411)-80
expand
y=(-1/6)(x-21)^2+73.5-80
y=(-1/6)(x-21)^2-6.5
add 6.5 to both sid
y+6.5=(-1/6)(x-21)^2
times both sides by -6
-6(y+6.5)=(x-21)^2
(x-21)^2=-6(y+6.5)
(y-21)^2=4(-3/2)(y-(-6.5))
vertex is
-3/2<0 so directix is above
it is -3/2 or 1.5 units above the vertex
up is y so
-6.5+1.5=-5
the directix is y=-5




11.
in form (y-1)^2=4p(x+3)
opens left or right
(y-1)^2=4(4)(x+3)
vertex is (-3,1)
4>0 so opens right
dirextix is to left
it is 4 units to left
(-3,1)
left right is x
4 left of -3 is -4-3=7
x=-7 is da directix
3 0
3 years ago
A recipe for 4 batches of bread uses 5 cups of flour. Harun wants to know how many cups of flour are needed for 1 batch. Judith
Viktor [21]

Answer: 8/10 of a cup

I am unsure of the 2nd half of the question

Step-by-step explanation: If you divide 5 by 4 then you will get the amount of cups of flour are needed for 1 batch

8 0
3 years ago
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Six PS4 games cost $348. The cost of games varies directly with the number of games. Write a direct variation equation.
Assoli18 [71]

Answer: b= 58a (divided 348 by 6 and take the equation b = ka and substitute k with 58)

5 0
3 years ago
-7 + 2x = -45<br> a 1<br> b -19<br> c 11<br> d -16
Marina86 [1]

Answer:

B) -19

Step-by-step explanation:

-7 + 2x = -45

+7             +7

2x = -38

/2      /2

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7 0
3 years ago
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Find the sum of -44, -10, and 49​
Dmitriy789 [7]

Answer:

-5

Step-by-step explanation:

(-44) + (-10) + 49

=> 49 - 44 - 10

=> 49 - 54

=> -5

4 0
3 years ago
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