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2 years ago

What is the slope of the line through the points, (-4,2) & (5,-1)

Mathematics

1 answer:

Korolek [52]2 years ago

8 0

Answer:

-1/3

Step-by-step explanation:

$m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-1-2}{5--4}\\m=\frac{-3}{9}=-\frac{1}{3}$

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A construction crew built miles of road in days. What is the unit rate in miles per day? Write your answer as a fraction or a mi

vovikov84 [41]

Complete question :

A construction crew built 1/2 miles of road in 1/8 days. What is the unit rate in miles per day? Write your answer in simplest form.

Answer:

3 miles per day

Step-by-step explanation:

Given that:

1/2 miles of road takes 1/8 days

Unit Rate in miles per day :

Miles of road built / number of days taken

1/2 miles ÷ 1/8 days

1/2 * 8/1

= (1*8) / (2*1)

= 8/2

= 4

Unit Rate = 4 miles per day

4 0

2 years ago

Which fraction has a greater value than 0.4

grandymaker [24]

Answer:

0.4 as a fraction is 2/5, so as long as the fraction is greater than 2/5 then you are good

5/9 || 0.55

Step-by-step explanation:

8 0

3 years ago

Which of the following functions gives the length of the base edge, aly, of a right square pyramid that is 8 inches tall as a fu

Salsk061 [2.6K]

I think it is a not to a sure

4 0

3 years ago

A residual plot has data points that are all very close to the x-axis. What does this say about the data?

Afina-wow [57]

Answer:

Step-by-step explanation:

because, the closer the data points are to the x axis on a residual plot with no definite shape means that a linear model is appropriate for this data set

3 0

2 years ago

Law of sines: 2.2 units 2.4 units 3.0 units 3.3 units

Arada [10]

Answer:

$RS=2.4\ units$

Step-by-step explanation:

<em>The complete question is </em>

What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth.

see the attached figure to better understand the problem

step 1

Find the measure of angle S

Applying the law of sines

$\frac{QS}{sin(R)}=\frac{QR}{sin(S)}$

substitute the given values

$\frac{3.1}{sin(80^o)}=\frac{2.4}{sin(S)}$

Solve for sin(S)

$sin(S)=\frac{sin(80^o)}{3.1}(2.4)$

$S=sin^{-1}[sin(80^o)}{3.1}(2.4)]$

$S=49.68^o$

step 2

Find the measure of angle Q

Remember that the sum of the interior angles in any triangle mut b equal to 180 degrees

$m\angle Q+m\angle R+m\angle S=180^o$

substitute the given values

$m\angle Q+80^o+49.68^o=180^o$

$m\angle Q+129.68^o=180^o$

$m\angle Q=180^o-129.68^o$

$m\angle Q=50.32^o$

step 3

Find the length of segment RS

Applying the law of sines

$\frac{QS}{sin(R)}=\frac{RS}{sin(Q)}$

substitute the given values

$\frac{3.1}{sin(80^o)}=\frac{RS}{sin(50.32^o)}$

$RS=\frac{3.1}{sin(80^o)}{sin(50.32^o)}$

$RS=2.4\ units$

3 0

3 years ago