Ask question

Ask question

All categories

2 years ago

13

CD is a perpendicular bisector of . Which of the following could be the slopes of the two lines if plotted on a coordinate grid?

A 1/2 and 2 B 4 and -4 C 1/3 and 1/3 D -7 and 1/7

1 answer:

NISA [10]2 years ago

8 0

Step-by-step explanation:

A is the correct answer of this question

You might be interested in

The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level with an initial velocity of 22

NISA [10]

Answer:

a) $v(2\,s) = 2.9\,\frac{m}{s}$ , b) $v(4\,s) = -16.7\,\frac{m}{s}$ , c) $t = 2.296\,s$ , d) $h (2.296\,s) = 27.829\,m$ , e) $t \approx 4.679\,s$ , f) $v(4.679\,s) = -23.354\,\frac{m}{s}$

Step-by-step explanation:

The velocity function can be derived by the differentiating the height function:

$v = 22.5-9.8\cdot t$

Velocities after 2 and 4 seconds are, respectively:

a) $v(2\,s) = 2.9\,\frac{m}{s}$

b) $v(4\,s) = -16.7\,\frac{m}{s}$

The maximum height is reached when velocity is zero. Then:

$22.5-9.8\cdot t = 0$

c) $t = 2.296\,s$

The maximum height is:

d) $h (2.296\,s) = 27.829\,m$

The time required to hit the ground is:

$-4.9\cdot t^{2}+22.5\cdot t +2 = 0$

Roots of the second-order polynomial are:

$t_{1} \approx 4.679\,s$

$t_{2} \approx -0.087\,s$

Only the first root is physically reasonable.

e) $t \approx 4.679\,s$

The velocity when the projectile hits the ground is:

f) $v(4.679\,s) = -23.354\,\frac{m}{s}$

7 0

2 years ago

A flower vendor sells roses for 50 cents each. How much does she pay per flower is she makes $6.00 on every twenty dollars worth

Lelu [443]

One rose is 50 cents, so 2 roses cost $1 ( 50 cents x 2).

2 roses per dollar x 20 dollars = 40 total roses sold.

When they sell $20 dollars they make $6, so that means they pay 20-6 = $14 dollars for the 40 roses.

$14 / 40 roses = 0.35 per rose.

She pays 35 cents per rose.

3 0

2 years ago

Find the mean absolute deviation

pantera1 [17]

First find the mean (sum divided by number of values)
4+5+8+10+15=42
42/5=8.4
Then find the difference between each of the numbers and the mean.
4.4, 3.4, 0.4, 1.6, 6.6
Then find the mean of those values.
4.4+3.4+0.4+1.6+6.6=16.4
16.4/5=3.28
Final answer: 3.28

6 0

2 years ago

Read 2 more answers

The size, S, of a tumor (in cubic millimeters) is given by S=2^t, where t is the number of months since the tumor was discovered

nordsb [41]

A) you just do 2^9 which is 512 cubic millimeters
b) using the average rate of change formula you get 56.78 cubic millimeters per month
c) I do not understand at all I am stuck on the same one<span />

4 0

2 years ago

The maximum grade allowed between two stations in a rapid-transit rail system is 3.5%. Between station A and station B, which

saveliy_v [14]

Answer:

x = 3.1 %

Step-by-step explanation:

Let x be the slope the track.

Given:

Distance between station A and B = 270 ft

Track rise = $8\frac{1}{2} = \frac{17}{2} = 8.5\ ft$

We need to find the slope of the railway track between station A an B.

Solution:

The maximum grade allowed between two stations in a rapid-transit rail system is 3.5%.

We know that slope of the railway track is equal to gradient of the tracks.

So. the slope of the railway track is defined as the ratio of the distance between the stations and track rises.

$Slope\ of\ the\ the\ tracks =\frac{Distance\ between\ two\ stations}{track\ rises}$

$x=\frac{8.5}{270}\times 100$

x = 3.1 %

So x = 3.1 % less than the maximum grade allowed between two stations in a rapid-transit rail system is 3.5%.

Therefore, x = 3.1 % meets the rapid-transit rail standards.

5 0

2 years ago