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kobusy [5.1K]
2 years ago
14

7b^2 - 14b - 56 = 0 Solve by completing the square

Mathematics
1 answer:
Yakvenalex [24]2 years ago
5 0

Answer: <em>7(b-1)^2-63</em>

Step-by-step explanation:

Factor out 7

<em>7(b^2-2b-8)</em>

Add and subtract (-1)^2:

<em>7(b^2-2b-8+(-1)^2-(-1\)^2)</em>

Complete the square:

<em>7((b-1)^2-8-(-1)^2)</em>

<em />

Simplify:

<em>7(b-1)^2-63</em>

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6 0
3 years ago
I need help geometry final part 1
joja [24]

Answer:

See below

Step-by-step explanation:

1. Given

2. Given

3. Definition of supplementary angles (add up to 180)

4. Substitution Property (substitute 112 in for angle 1)

5. Subtraction Property (subtract 112 from both sides)

4 0
3 years ago
Read 2 more answers
numerele a, b si c sunt direct proportionale cu 2, 3 si 5. Daca media aritmetica a celor trei numere este egala cu 100, determin
Fynjy0 [20]

Answer:

a = 60

b = 90

c = 150

Step-by-step explanation:

Numerele a, b și c sunt direct proporționale cu 2, 3 și 5.

Unde k este constantă de proporționalitate

a ∝ 2

a = 2k

b ∝ 3

b = 3k

c ∝ 5

c = 5k

Dacă media aritmetică a celor trei numere este egală cu 100, determinați numerele a, b și c

= 2k + 3k + 5k / 3 = 100

= 10k / 3 = 100

Cross Multiply

= 10k = 3 × 100

= 10k = 300

Împărțiți ambele părți la 10

k = 300/10

k = 30

Pentru numărul a

a = 2k

a = 2 × 30

a = 60

Pentru numărul b

b = 3k

b = 3 × 30

b = 90

Pentru numărul c

c = 5k

c = 5 × 30

c = 150

Prin urmare, a = 60, b = 90, c = 150

3 0
3 years ago
Help me please!!!!!!!!!!!!!!!!
Oxana [17]

Answer:f(x)=x2 +1

Step-by-step explanation:

The one represents C in the standard form and it can also be used to represent graph placement so +1 can also represent the vertex going up 1 on the y

7 0
3 years ago
Find the slope of the line through each pair of points (19,9),(15,-3)
stepan [7]
Slope (y2-y1)/(x2-x1)
(-3-9)/(15-19) = -12/-4 = 3
The slope is 3
4 0
3 years ago
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