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nordsb [41]
3 years ago
7

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

Mathematics
1 answer:
butalik [34]3 years ago
8 0

Answer:

Slope (m) = -\frac{1}{3}

Step-by-step explanation:

Use the following equation:

Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}

Let:

(x_1 , y_1) = (-1 , 4)\\(x_2 , y_2) = (5 , 2)

Plug in the corresponding numbers to the corresponding variables:

m = \frac{2 - 4}{5 - (-1)} = \frac{2 - 4}{5 + 1} = \frac{-2}{6}

Simplify. Divide common factors from both the numerator and denominator:

\frac{(-\frac{2}{6})}{\frac{2}{2} } = -\frac{1}{3}

-\frac{1}{3} is your answer.

~

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How many girls are in a group that has 16 boys? Complete the ratio table to solve the problem.
Svetach [21]
Since there are zero girls there are a number of options say 1:0 is an option,2:0 is an option here are the rest. 8:0 4:0 16:0. Hope this helped.
7 0
4 years ago
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Identify the product and express it in scientific notation. 4.7 x (6.02 x 10^23)
Anna11 [10]

Answer:

\large\boxed{4.7\times(6.02\times10^{23})=2.8294\times10^{24}}

Step-by-step explanation:

The scientific notation:

a\times10^k\ \text{where}\ 1\leq a

We have:

4.7\times(6.02\times10^{23})=(4.7\times6.02)\times10^{23}=28.294\times10^{23}\\\\=2.8294\times10\times10^{23}=2.8294\times10^{24}

6 0
3 years ago
Brainliest + Points!
Flauer [41]

Answer:

Your answer is not there.... but my answer is... so, check it put...

Step-by-step explanation:

P is the principal amount, $400.00.

r is the interest rate, 7.5% per year, or in decimal form, 7.5/100=0.075.

t is the time involved, 6 month period(s) time periods.

To find the simple interest, we multiply 400 × 0.075 × 3 to get that:

The interest is: $90.00

5 0
4 years ago
According to the graph, what is the value of the constant in the equation below?
kow [346]

Option B: 50 is the value of the constant.

Explanation:

From the graph, the coordinates are (4,12.5) , (5,10) , (10,5) and (20,2.5)

Where the x coordinates denotes the width and the y - coordinates denotes the height.

Also, given that Height =\frac{ { Constant }}{{ Width }}$

We need to determine the value of the constant

<u>Value of the constant:</u>

The value of the constant can be determined using the formula,

Height \times weight=Constant

Since, all the coordinates lie on the same line, then all the coordinates have the constant.

Substituting the coordinate (4,12.5) in the above formula, we get,

4\times 12.5=Constant

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Therefore, the value of constant is 50.

Hence, Option B is the correct answer.

5 0
3 years ago
Two cruise ships leave port at the same time. Ship A sails north at a speed of 20 mph while Ship B sails east at a speed of 40 m
tiny-mole [99]

Answer:

a) D(t) = \[20*\sqrt{5} * t\]

b) 178.885 miles

Step-by-step explanation:

Ship A travels north at the rate of 20 mph.

Ship B travels east at the rate of 40 mph.

After t hours, Ship A is at a distance of 20t miles from the origin.

Similarly, Ship B is at a distance of 40t miles from the origin.

(a) Distance D(t) = \[\sqrt{(20t)^{2}+(40t)^{2}}\]

= \[\sqrt{400*t^{2}+1600 * (t)^{2}}\]

= \[\sqrt{2000*t^{2}}\]

= \[20*\sqrt{5} * t\]

(b) Distance between the two ships when t = 4,

= \[20*\sqrt{5} * 4\]

= \[80*\sqrt{5} \] miles

= 80 * 2.236

= 178.885 miles

8 0
3 years ago
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