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3 years ago

Which of the following explains the relationship between angles c and d

Mathematics

1 answer:

Paladinen [302]3 years ago

4 0

Where’s the picture, if you had a picture i could help you :)

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What is the distance between (12.-7) and (-3, -7)?

vitfil [10]

Step-by-step explanation:

distance between (12.-7) and (-3, -7)

$\sqrt{ {(12 + 3)}^{2} + {0}^{2} }$

=12+3

=15 units

6 0

3 years ago

Write the equation of the line that passes through the points (2, 1) and (-8,-8).

nordsb [41]

Answer:

y = 0.9x - 0.8

Step-by-step explanation:

First you use the formula m = (y2-y1) / (x2-x1)

Sub in the 2 points you are given and you get m = (-8-1) / (-8-2)

m = -9/-10 = 9/10

Now u use the point slope formula, (y - y1) = m(x - x1)

Sub in the points and you get (y - 1) = 9/10 (x-2)

Expand it out to get y - 1 = 9/10x - 18/10

multiple everything by 10 = 10y - 10 = 9x -18

make y the subject, 10y = 9x - 8

y = 0.9x - 0.8

8 0

3 years ago

If men's heights are normally distributed with mean 68 and standard deviation 3.1 inches, and women's heights are normally distr

stira [4]

Answer:

the probability that the woman is taller than the man is 0.1423

Step-by-step explanation:

Given that :

the men's heights are normally distributed with mean $\mu$ 68

standard deviation $\sigma$ = 3.1

And

the women's heights are normally distributed with mean $\mu$ 65

standard deviation $\sigma$ = 2.8

We are to find the probability that the woman is taller than the man.

For woman now:

mean $\mu$ = 65

standard deviation $\sigma$ = 2.8

$P(x > 68 ) = 1 - p( x< 68)$

$\\ 1 -p \ P[(x - \mu ) / \sigma < (68-25)/ 2.8]$

= 1-P (z , 1.07)

Using z table,

= 1 - 0.8577

= 0.1423

Thus, the probability that the woman is taller than the man is 0.1423

6 0

3 years ago

Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.

andrew-mc [135]

Answer:

f(x):

$x = - 4$

g(x)

$x = 1$

Step-by-step explanation:

When a function is of the form:

$f(x) = a {(x - h)}^{2} + k$

The equation of the axis of symmetry is

$x = h$

The given function is

$f(x) = 3 {(x + 4)}^{2} + 1$

We can see that h=-4

Hence the equation of axis of symmetry is

$x = - 4$

From the graph, the axis of symmetry of h(x) is the vertical line that divides the parabola into two congruent halves.

This line is

$x = 1$

4 0

3 years ago

If a car has traveled 171 miles in 3 hours at a steady pace, how far has it traveled each hour?

san4es73 [151]

Answer:

B: 57 mph=57 mph

Step-by-step explanation:

A steady pace means constant speed that it does not change over a period of time and direction of motion. A simple formula, for this case (constant speed)

$v= \frac{x - xo}{t -to}$

where x is distance and t time. The subtract is final value minus initial value

We have the distance and time, then

$v= \frac{171 miles}{3 hours} = 57 mph$

7 0

3 years ago