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enyata [817]
3 years ago
12

What are the coordinates of the vertex of y = x2 – 2x – 7?

Mathematics
1 answer:
Elza [17]3 years ago
6 0
Rearrange  to vertex form:-

y = x^2 - 2x - 7
y = (x - 1)^2 - 1 - 7
y = (x - 1)^2 - 8

The vertex is at the coordinates (1, -8)
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Rewrite the expression without parentheses by using the Distributive Property p(q-r) VERY URGENT!
Vesnalui [34]

Step-by-step explanation:

p(q-r) = pq - pr

Hope it helps

4 0
3 years ago
Which expression is equivalent to 7 (x + 4)? 28 x 7 (x) + 7 (4) 7 (x) + 4 11 x
Rama09 [41]

Answer:

i'm guessing you're asking which expression is the same as 7(x+4)

i don't know what the other numbers listed are suppose to mean, but when expanded, 7(x+4)=7x+28

anything added together, multiplied together, etc, that equals 7x+28 is your answer

5 0
3 years ago
Read 2 more answers
Solution set for (6y+4)-(3+5y)=9
loris [4]
Y = 8 hoped it helped!
4 0
3 years ago
The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give
goldfiish [28.3K]

Answer:

The given line segment whose end points are A(2,2) and B(3,8).

Distance AB is given by distance formula , which is

if we have to find distance between two points (a,b) and (p,q) is

=  \sqrt{(p-a)^2+(q-b)^2}

AB= \sqrt{(3-2)^2+(8-2)^2}=\sqrt{1+36}=\sqrt{37} = 6.08 (approx)

Line segment AB is dilated by a factor of 3.5 to get New line segment CD.

Coordinate of C = (3.5 ×2, 3.5×2)= (7,7)

Coordinate of D = (3.5×3, 3.5×8)=(10.5,28)

CD = AB × 3.5

CD = √37× 3.5

     = 6.08 × 3.5

= 21.28 unit(approx)

2. Slope of line joining two points (p,q) and (a,b) is given by

m=\frac{q-b}{p-a}

m= \frac{8-2}{3-2}=6

As the two lines are coincident , so their slopes are equal.

Slope of line AB=Slope of line CD = 6




6 0
3 years ago
Read 2 more answers
Brent purchased a used vehicle that depreciates under a straight-line method. The initial value of the car is $7500, and the sal
Ilia_Sergeevich [38]
Let the value of the vehicle be described by the equation
V = a + bx
where x =  number of years since purchase
a,b are constants.

When x = 0, V = $7500. Therefore
a + b*0 = 7500
a = 7500

When x = 7, V = $500. Therefore
7500 + 7b = 500
7b = 500 -7500 = -7000
b = -7000/7 = -1000

The equation is
V = 7500 - 1000x

The slope of this equation is the depreciation rate, and it is -$1000 per year.

Answer: $1000 depreciation per year.

5 0
3 years ago
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