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SOVA2 [1]
3 years ago
8

What is the distance between (-3, 2) and (2, -1)

Mathematics
2 answers:
MariettaO [177]3 years ago
6 0

Answer:

(5,-3)

Step-by-step explanation:

Katena32 [7]3 years ago
6 0

Step-by-step explanation:

(-3,2)=(x1,y1)

(2,-1)=(x2,y2)

distance(d)^2=(x2-x1)^2+(y2-y1)^2

d^2 =(2+3)^2+(-1-2)^2

d^2 =25+9

d^2=34

d=√34

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Help please!!!
marysya [2.9K]

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

y = x² + 2x + 7 → (1)

y - 7 = x → (2)

Rearrange (2) expressing y in terms of x by adding 7 to both sides

y = x + 7 → (3)

Substitute y = x + 7 into (1)

x + 7 = x² + 2x + 7 ( subtract x + 7 from both sides )

0 = x² + x ← factor out x from each term

0 = x(x + 1)

Equate each factor to zero and solve for x

x = 0

x + 1 = 0 ⇒ x = - 1

Substitute these values into (3) for corresponding values of y

x = 0 → y = 0 + 7 = 7

x = - 1 → y = - 1 + 7 = 6

The solutions are

(- 1, 6 ) and (0, 7 )

4 0
3 years ago
Given:    ΔQRS ≅ ΔTUV, QS = 3v + 2 and TV = 7v - 6, find the length of QS and TV.
tresset_1 [31]
Your answer will be 8.
7 0
4 years ago
Read 2 more answers
A recipe asks for 4 1/2 pounds of chicken.
Mnenie [13.5K]

Answer:

2/1/2 you need 2and 1/2 of chicken

7 0
3 years ago
Help please I'm stuck show and explain your work
Deffense [45]

The expressions D, E, and F represent a correct solution to the equation.

Step-by-step explanation:

Step 1:

First, we need to solve the given equation and find the value of x which satisfies the equation.

6(x+4)=20, (x+4) = \frac{20}{6}   = 3.333,

x = 3.333 - 4 = -0.666.

So the value of x for the given equation is -0.666.

Step 2:

Now we evaluate the values of the six given options to see which ones have an x value of -0.666.

A. \frac{20-4}{6}= \frac{16}{6}  = 2.666,

B. \frac{1}{6} (20-4)= \frac{1}{6} (16)=\frac{16}{6} = 2.666,

C. 20 -6 -4 = 20 - 10 = 10.

D. \frac{20}{6} -4= 3.333 - 4 = -0.666,

E. \frac{1}{6} (20-24) = \frac{1}{6} (-4)= -0.666,

F. (20-24)\frac{1}{6} = (-4)\frac{1}{6} = -0.666.

So the options D, E, and F represent a correct solution to the given equation.

7 0
4 years ago
how much of a 10% syrup solution should be added to 2 liters of a 30% syrup solution to get 20% syrup solution?
rewona [7]
<span>10x + 30(2) = 20(x + 2)
10x + 60 = 20x + 40
10x = 20
answer
x = 2 liters
So you would need 2 liters of the 10% solution to make the 30% solution 20%.</span>
4 0
3 years ago
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