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horsena [70]
3 years ago
12

1. Find the slope of a line that passes through the points (-1,-4) and (5, -1).

Mathematics
1 answer:
Blizzard [7]3 years ago
7 0
The answer is A. 1/2

(-1,-4) are (x1, y1)
(5,-1) are (x2, y2)
So you subtract y2-y1/x2-x1 = -1-(-4)/5-(-1)
-1-(4) = 3
5-(-1) = 6
3/6= 1/2
Slope is 1/2 making A your answer
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Suppose Ray BD bisects ZABC. If m ZABD=30 degrees what is mZDBC
Masteriza [31]

Answer:

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7 0
2 years ago
In New York State, 38% of the houses have a pool and 21% of the houses have both a pool and a hot tub. What is the probability t
SSSSS [86.1K]

Answer:

Probability that a  house has a hot tub given that it has a pool is 55%.

Step-by-step explanation:

We are given that in New York State, 38% of the houses have a pool and 21% of the houses have both a pool and a hot tub.

Let the probability that houses have a pool = P(A) = 0.38

Also, let B = event that houses have a hot tub

Probability that houses have both a pool and a hot tub = P(A \bigcap B) = 0.21

Now, the conditional probability that a  house has a hot tub given that it has a pool is given by =  P(B / A)

<u>As we know that</u>;   P(B / A)  =  \frac{P(A \bigcap B)}{P(A) }

                                              =  \frac{0.21}{0.38}  

                                              =  0.553 ≈ 55%

Hence, the probability that a  house has a hot tub given that it has a pool is 55%.

8 0
3 years ago
What is the factored form of the quadratic equation y=x2+4x-12? <br><br> PLEASE HELP ME!!!
snow_tiger [21]

Answer:

(x + 6)(x - 2)

Step-by-step explanation:

The given quadratic equation is $ y = x^2 + 4x - 12 $.

A quadratic equation can be factored in the form $ (x - a) (x - b) $ where $ -a $ and $ -b $ will form the roots of the equation

Here the roots are $ - 6 $ and $ 2 $.

The factored form would simply be: $ (x + 6) (x - 2) = 0 $.

Thus the answer.

4 0
3 years ago
Read 2 more answers
A sports stadium has 10000 seats, divided into box seats, lower-deck seats, and upper-devk seats. Box seats sell for 10 dollars,
lesantik [10]

Answer:

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

Step-by-step explanation:

Let number of box seats = x

Let number of lower deck seats = y

Let number of upper deck seats = z

As per question statement:

x+y+z=10000 ...... (1)

Cost for box seat = $10

Cost for x box seats = 10x

Cost for lower deck seat = $8

Cost for y lower deck seats = 8y

Cost for lower deck seat = $5

Cost for z lower deck seats = 5z

As per question statement:

10x+8y+5z=70000 ..... (2)

z = 4x ..... (3)

Putting value of y in (1) and (2):

x+y+4x=10000\\\Rightarrow 5x+y=10000 ....... (4)

10x+8 y+5\times 4x=70000\\\Rightarrow 30x+8y=70000 ..... (5)

8 \times (4) - (5):

10x =10000

\Rightarrow x = 1000

By (3):

z = 4000

Now, by equation (1):

y = 5000

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

6 0
3 years ago
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