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AleksandrR [38]
4 years ago
12

What is the first step when rewriting y=-4x^2+2x-7 in the form y=a(x-h)^2+k?

Mathematics
2 answers:
oksano4ka [1.4K]4 years ago
7 0
Factor out -4. You end up with -4(x-1/4)^2-27/4
prohojiy [21]4 years ago
7 0

Answer: -4 must be factored from -4x^2 +2x

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Find the 11th term of the geometric sequence 7, 35, 175,
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Answer:

7*5^10=68,359,375

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Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC
jarptica [38.1K]

We are given

△ABC, m∠A=60° m∠C=45°, AB=8

Firstly, we will find all angles and sides

Calculation of angle B:

we know that sum of all angles is 180

m∠A+ m∠B+m∠C=180

we can plug values

60°+ m∠B+45°=180

m∠B=75°

Calculation of BC:

we can use law of sines

\frac{AB}{sin(C)}=\frac{BC}{sin(A)}

now, we can plug values

\frac{8}{sin(45)}=\frac{BC}{sin(60)}

BC=\frac{8}{sin(45)} \times sin(60)

BC=9.798

Calculation of AC:

\frac{AB}{sin(C)}=\frac{AC}{sin(B)}

now, we can plug values

\frac{8}{sin(45)}=\frac{AC}{sin(75)}

AC=\frac{8}{sin(45)} \times sin(75)

AC=10.928

Perimeter:

p=AB+BC+AC

we can plug values

p=10.928+8+9.798

p=28.726

Area:

we can use formula

A=\frac{1}{2}AB \times AC \times sin(A)

now, we can plug values

A=\frac{1}{2}8 \times 10.928 \times sin(60)

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6 0
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vivado [14]

Answer:

32, 46

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Remember, a is congruent to b modulo d if d divides a-b.

Now, the problem says that b=4 and d=14.

Let a=32. Observe that a-b=28 and \frac{28}{14}=2, then 32 is congruent to 4 modulo 14.

Let a=46. Observe that a-b=46-4=42 and \frac{42}{14}=3, then 46 is congruent to 4 modulo 14.

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3 years ago
Solve the system of equation by elimination. <br> 4x-3y=-21<br> 5x+3y=-6
Lena [83]

Answer:x=-3,y=3

or (-3,3)

Step-by-step explanation:

3 0
4 years ago
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