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kolezko [41]
4 years ago
13

Over the interval [-3, 0[, the local minimum is

Mathematics
1 answer:
zepelin [54]4 years ago
3 0

Answer:

-16

Step-by-step explanation:

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Amira is writing a coordinate proof to show that the area of a triangle created by joining the midpoints of an isosceles triangl
Romashka [77]
Point R is the midpoint of FE¯¯¯¯¯ , so the coordinates of point R are (3a, b).

In △DEF , the length of the base, DF¯¯¯¯¯ , is
4a, and the height is 2b, so its area is
1/2×4a×2b = 4ab.

In △QRP , the length of the base, QR¯¯¯¯¯ , is
3a-a = 2a, and the height is b, so its area is 1/2×2a×b = ab .

Comparing the expressions for the areas proves that the area of the triangle created by joining the midpoints of an isosceles triangle is one-fourth the area of the larger isosceles triangle.
6 0
3 years ago
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How many hours did lucille drive if she drove 258 miles at 65 mph? round to the nearest tenth hour?
joja [24]
258/65 = 3.9692
= 4.0 hours rounded to the nearest tenth hour
7 0
3 years ago
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12. Write the equation of a parabola with vertex at<br> (2, -3) and focus at (2,5),
Tatiana [17]

Step-by-step explanation:

The basic form of equation:

(x-h)²=4a(y-k),

(h,k)=coordinates of vertex

(h, k+a) = coordinate of focus

For given parabola:

axis of symmetry: x=2

(h, k) =(2,-3)

(h, k+a)=(2,5)

k+a=5

-3+a=5

a=8(distance from vertex to focus on the axis of symmetry)

equation: (x-2)²=4×8(y+3)

(x-2)²= 32(y+3)

7 0
3 years ago
Larry borrows $1300 at 5% simple interest per month. When Larry pays the loan back 3 years later, what is the total amount that
Dafna11 [192]
I think that it’s 3640
5 0
3 years ago
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Jenna solved the equation 2x^2 +5x - 42 = 0 . She stated that the solutions to the equation were 7/2 and -6. Do you agree with J
mr_godi [17]

Answer:

Yes. Her solution is correct.

Step-by-step explanation:

Let's check if Jenna solution is correct:

To solve the equation 2x^2 +5x - 42 = 0, we can use Bhaskara's formula:

D = b^2 - 4ac = 25 + 4*2*42 = 25+336 = 361

sqrt(D) = 19

x1 = (-5 + 19)/4 = 14/4 = 7/2

x2 = (-5 - 19)/4 = -24/4 = -6

We must agree with Jenna's solution, because the values she found as solution are correct: with we replace these values of x in the equation, we will find 0 = 0, which is correct and proves that these values are the solution of the equation.

7 0
3 years ago
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