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noname [10]
3 years ago
11

15 points!!! Thanks in advance.

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
6 0

your answer would be D.

4a (4a) + 4a (-5b) + 5b (4a) + 5b (-5b) it is simplified to    16a^2-25b^2

ra1l [238]3 years ago
4 0

To answer this, just combine like terms:

4A x 4A = 16A²

5B x (-5B) = -25B²

So, the answer is D) 16A² - 25A²!

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What is the vertex form, f(x) = a(x − h)2 + k, for a parabola that passes through the point (1, −7) and has (2, 3) as its vertex
kondaur [170]

Answer:

Vertex form: f(x) = -10(x − 2)^2 + 3

Standard form: y = -10x^2 + 40x - 37

Step-by-step explanation:

h and k are the vertex coordinates

Substitute them in the vertex form equation:

f(x) = a(x − 2)^2 + 3

Calculate "a" by replacing "f(x)" with -7 and "x" with 1:

-7 = a(1 − 2)^2 + 3

Simplify:

-7 = a(1 − 2)^2 + 3

-7 = a(-1)^2 + 3

-7 = a + 3

-10 = a

Replace a to get the final vertex form equation:

f(x) = -10(x − 2)^2 + 3

Convert to standard form:

y = -10(x − 2)^2 + 3

Expand using binomial theorem:

y = -10(x^2 − 4x + 4) + 3

Simplify:

y = -10x^2 + 40x - 40 + 3

y = -10x^2 + 40x - 37

6 0
3 years ago
Plz help but not if you don't know
balandron [24]
I hope this helps you



Euclid



h^2=4.6



h=2 square root of 6



h^2+6^2=base^2


24+36=base^2


base=2square root of 15


h^2+4^2=height^2


24+16=height^2


height=2 square root of 10


5 0
3 years ago
Kevin randomly selects 1 card from a standard deck of 52 cards. What is the probability that the card Kevin selects is a king or
ki77a [65]
<span>A, 13/52 of the cards are hearts, + three more kings (king of hearts has already gone) = 16/52. divide 16 and 52 by 4 = 4/13.</span>
4 0
3 years ago
Read 2 more answers
I need a bit of help with this, May you please help me?<br>15 points. ​
max2010maxim [7]

The answer is 7 feet becaise 0 opp ik

7 0
3 years ago
Read 2 more answers
The water level varies from 12 inches at low tide to 52 inches at high tide. Low tide occurs at 9:15 a.m. and high tide occurs a
balandron [24]
52 inches - 12 inches = 40 inches
amplitude:  a = 40 inches / 2 = 20 

<span>f(x)=20cos(bx)+c</span>
the value of c is 32... since the centre of the has been moved up 32 units

the minimum amplitude =  32 - 20 = 12
the maximum amplitude = 32 + 20 = 52

<span>f(x)=20cos(bx)+32</span><span>
if the curve takes 6 1/4 hours from low to high tides (9:15 am to 3:30 pm)  then it will take 12 1/2 hours to complete a full cycle.

adjust the period by converting 12 1/2 hours to an angle measure.

360</span>°/12 = 30° 
30° / 12 = 15°

12 1/2 = 360° + 15° = 375°

f(x) = 20 cos(375°) + 32
f(x) = 20 * 0.97 + 32
f(x) = 19.4 + 32
f(x) = 51.4
5 0
3 years ago
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