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3 years ago

What is the equation of a line that is parallel to y=5/6x-10 and passes through (12,8)?

Mathematics

1 answer:

Gekata [30.6K]3 years ago

8 0

Answer:

y-8=5/6(x-12)

Step-by-step explanation:

y-y1=m(x-x1)

y-8=5/6(x-12)

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A quadratic equation ax^2+bx+c=0 has -11 and 4 as solutions. Find the values of b and c if the value of a is 1 (hint, use zero f

Alina [70]

Answer:

b = 7, c = -44

Step-by-step explanation:

If the quadratic equation has the solutions -11 and 4, the two factors are:

$(x+11)(x-4)=0$

Since when we use the zero factor property we get

x+11=0 ⇒ x= -11

x-4=0 ⇒ x=4

Thus, we have used the zero factor property in reverse to find the factorization of the quadratic equation.

Now we develop the multiplications between parenthesis:

$(x+11)(x-4)=0\\x^2-4x+11x-44=0\\x^2+7x-44=0$

So b is the number that accompanies the x: b = 7

and c is the independent number: c = -44

3 0

3 years ago

EFGH is a parallelogram. Find the measure of FG and EG <br>

navik [9.2K]

Answer:

FG = 44

EG = 80

Step-by-step explanation:

For FG:

1) 5z - 16 = 3z + 8

2) 5z = 3z + 24

3) 2z = 24

4) z = 12

5) 3(12) + 8 = 44

For EG:

1) 2w + 22 = 4w + 4

2) 2w = 4w - 18

3) -2w = -18

4) w = 9

5) 4(9) + 4 + 2w + 22 = 80

7 0

2 years ago

Solve the inequality.<br><br> 5/6t - 3≥3t + 6

Papessa [141]

Answer:

t ≤ $-\frac{54}{13}$

Step-by-step explanation:

$\frac{5}{6}$ t−3−3t≥3t+6−3t

$-\frac{13}{6}$ t−3≥6

- $\frac{13}{6}t$ −3+3≥6+3

$\frac{13}{6}$ t≥9

$-\frac{6}{13}$ ( $-\frac{13}{6}$ t) ≥ $-\frac{6}{13}$ (9)

t ≤ $-\frac{54}{13}$

6 0

2 years ago

A fire department in a rural county reports that its response time to fires is approximatelyNormally distributed with a mean of

____ [38]

Answer:

Option C) 0.25

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 22 minutes

Standard Deviation, σ = 11.9 minutes

We are given that the distribution of response time is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(response times is over 30 minutes)

P(x > 30)

$P( x > 30) = P( z > \displaystyle\frac{30 - 22}{11.9}) = P(z > 0.6722)$

$= 1 - P(z \leq 0.6722)$

Calculation the value from standard normal z table, we have,

$P(x > 30) = 1 - 0.749= 0.251 = 25.1\%$

Thus, the correct answer is

Option C) 0.25

3 0

3 years ago

Read 2 more answers

What is the value of y in the product of powers below? 8^3x8^-5x8^y=8^-2=1/8^2

Ber [7]

The answer is y=207 hope this helps

4 0

2 years ago