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3 years ago

Please answer question now

Mathematics

1 answer:

Dominik [7]3 years ago

6 0

Answer:

The answer is 11.

by using cosine rule we can easily get the answer of this question. 

I hope it will help u....

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Find the equation of the line that passes through the points (-5,7) and (2,3)

Olegator [25]

Answer:

$y=-\frac{4}{7}x+4\frac{1}{7}$

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= $\frac{y_{1} - y_{2} }{x_{1} - x_{2} } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}$

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

$y=-\frac{4}{7} x+b\\$

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

$y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}$

Last step: substitute the slope and y intercept into y=mx+b.

$y=mx+b\\y=-\frac{4}{7}x+4\frac{1}{7}$

That is the answer to this problem.

I hope this helps.

3 0

3 years ago

105% of 260 What is the answer?

damaskus [11]

Percent means parts out of 100
105%=105/100=1.05
'of' means multiply

105% of 260=1.05 times 260=273

6 0

3 years ago

Read 2 more answers

How to get 813 with exponents parentheses in three different operations

LenKa [72]

Answer:

813 = 800 + 10 + 3 = (8 $\times 10^{2}$ ) + ( 1 $\times 10^1$ ) + ( 3 $\times 10^0$ )

Step-by-step explanation:

i) 813 = 800 + 10 + 3 = (8 $\times 10^{2}$ ) + ( 1 $\times 10^1$ ) + ( 3 $\times 10^0$ )

4 0

3 years ago

24. A farmstand collected $350 from sales on Wednesday. This amount was $75

larisa [96]

Answer:

$100

Step-by-step explanation:

Given:

Wednesday sales = $350

If the amount collected from sales on Wednesday was $75 greater than the amount collected from sales on Tuesday, then Tuesday's sales were $75 less than Wednesday's sales:

Tuesday sales = $350 - $75 = $275

If the amount collected from sales on Wednesday was two times as great as the amount collected from sales on Monday, then Monday's sales were half Wednesday's sales:

Monday sales = $350 ÷ 2 = $175

To calculate how much more the farmstand collected from sales on Tuesday than it collected on Monday, subtract the Monday sales from the Tuesday sales:

$275 - $175 = $100

8 0

2 years ago

Read 2 more answers

The lengths of the legs of a right triangle are 8 inches and 9inchrs. What is the length of the hypotenuse round to the nearest

Marat540 [252]

Answer: Hypotenuse is 12 inches

Step-by-step explanation: a^2+b^2=c^2

c^2=8^2+9^2

c^2=64+81

c^2=145

c=square root of 145

c=12.04

6 0

3 years ago