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ivolga24 [154]
3 years ago
6

the area of the triangle formed by points of intersection of parabola y=a(x-3)(x+2) with the coordinate axes is 10. find a if it

is known that parabola opens upward
Mathematics
1 answer:
Goshia [24]3 years ago
6 0

Answer

1/4 × 6 × (5a) = 12

15a=12

a= 4/5

Step-by-step explanation:

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ABC has coordinates of A(-8,-8) B(4,-2) C(2,2). Find the coordinates of its image after the dilation centered at the origin with
garri49 [273]

Answer:

A' ( -12 , -12 )

B' ( 6 , -3 )

C' ( 3 , 3 )

Step-by-step explanation:

To find the coordinates of a point after a dilation simply multiply the x and y values of the points by the scale factor

Points: A(-8,-8) B(4,-2) C(2,2)

Scale factor: 1.5

Coordinates after the dilation

A' = (-8,-8) --------> (-8 * 1.5 , -8 * 1.5 ) ------------> (-12 , -12)

B' = (4,-2) ---------> (4 * 1.5 , -2 * 1.5) -----------> (6 , -3 )

C' = (2 , 2) ----------> (2 * 1.5 , 2 * 1.5) -----------> (3, 3)

So inclusion the coordinates of ABC after a dilation centered at the origin with a scale factor of 1.5 are A' ( -12 , -12 ) B' ( 6 , -3 ) C' ( 3 , 3 )

4 0
3 years ago
Which of the following is the measure of
jonny [76]

Answer:

The answer to your question is 31.4°

Step-by-step explanation:

Data

SR = 54 cm

SQ = 99 cm

RQ = 141 cm

∠QRS = ?

Process

1.- Use the law of cosines to find ∠QRS

          cos QRS = (SQ² - RS² - RQ²) / -2(SR)(RQ)

-Substitution

          cos QRS = (99² - 54² - 141²) / -2(54)(141)

-Simplification

          cos QRS = (9801 - 2916 - 19881) / -15228

          cos QRS = -12996 / -15228

          cos QRS = 0.85343

2.- Find QRS

            ∠QRS = 31.4°

4 0
3 years ago
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Answer:

b

Step-by-step explanation:

hope this helps!

8 0
3 years ago
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In triangle ABC, angle BC=4x+4 and angle AC= 6x-14 and angle BC=2x+7. What is BC
kolbaska11 [484]

Answer:

37.5

Step-by-step explanation:

7 0
4 years ago
Jon's care can travel an average of 35 miles per gallon. Write an equation to represent how many gallons he will need for a trip
Butoxors [25]
All you need to do is multiply the 2 numbers
6 0
3 years ago
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