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ASHA 777 [7]
3 years ago
9

Which equation is y = 3(x – 2)2 – (x – 5)2 rewritten in vertex form?

Mathematics
1 answer:
Alenkinab [10]3 years ago
4 0
Y= 3( x -2 )² - ( x-5 )² = 3 ( x² - 4 x + 4 ) - ( x² - 10 x + 25 ) =
= 3 x² - 12 x + 12 - x² + 10 x - 25=
= 2 x² - 2 x - 13 =
= 2 ( x² - x + 1/4 - 1/4 ) - 13 =
= 2 ( x - 1/2 )² - 1/2 - 26/2 =  2 ( x - 1/2 )² - 27/2
Answer: D) 
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Triangle DEF is a dilation of triangle ABC with scale factor 2. In triangle ABC, the largest angle measures 82∘. What is the lar
uysha [10]

Answer:

Option 2) 82°

Step-by-step explanation:

The dilation means the enlargement of the figure or reduction in the size of the figure.

If the scale factor is greater than 1, its an enlargement

If the scale factor is smaller than 1, it is a reduction.

But what ever be the case,

the triangles always remain similar.

Hence the size of the sides changes,

But the size of the angles always remains the same.

Now the largest angle of triangle ABC is 82°.

Hence the largest angle of the triangle DEF shall be 82°.

Second option 82° is the right answer.

5 0
3 years ago
6. In the figure below, measure of angle 1 = 3x + 5, measure of angle 2 = 5x - 18, and measure of angle 3 = 7x-2
Lesechka [4]
See photo for solution and mark me as brainliest if i helped :)

A: although it seems like they are forming a 90º angle, they actually add up to a 89 º angle and therefore are not complementary

B: see photo

4 0
3 years ago
The volume of a sphere is 2,240 yd^3. What will be the new volume in the dimensions are multiplied by 1/4?
Veseljchak [2.6K]

Answer:

34.98yd^3

Step-by-step explanation:

Volume of a sphere V=4/3πr3

Where V = 2240yd^3

π = 3.14

2240 = 4/3×3.14×r^3

2240 = 4.1866r^3

r^3 = 2240/4.1866

r^3 = 534.784

r = ( 534.784 )^1/3

r = 8.1169

Since each dimension is to be multiplied by 1/4

Hence, 1/4×8.1169

r = 2.029.

New volume will be

V = 4/3×3.14×2.029^3

V = 4/3×3.14×8.3558

V = 34.98yd^3.

8 0
3 years ago
What is the approximate lateral area of the cylinder? Use 3.14 for r and round to
marusya05 [52]

Answer:

The answer is C) 678 cm2 :)

Step-by-step explanation:

3 0
3 years ago
P, Q, V, and K are collinear with V between K and P, and Q between V and K. If VP = 14x + 4, PK = x + 630, VQ = 17x + 6, and KQ
Ierofanga [76]

It's given in the question,

P, Q, V and K are collinear.

VP = 14x + 4

PK = x + 630

VQ = 17x + 6

KQ = 11x + 5

By segment addition postulate,

KQ + VQ + VP = KP

Substitute the values in the expression,

(11x + 5) + (17x + 6) + (14x + 4) = x + 630

(11x + 17x + 14x) + (5 + 6 + 4) = x + 630

42x + 15 = x + 630

42x - x = 630 - 15

41x = 615

x = \frac{615}{41}

x = 15

Therefore, value of VP = (14x + 4)

                                      = 14(15) + 4

                                      = 214 units

Learn more,

brainly.com/question/628239

3 0
3 years ago
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