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2 years ago

Angelica calculated the distance between the two points shown on the graph below. (1st picture)

Mathematics

2 answers:

Alex Ar [27]2 years ago

7 0

Use the distance formula to find the value of the side lengths.
d=√((x1-x2)²+(y1-y2)²

d of side AC is 6

d of side CB is 10

Angela's use of the Pythagorean Theorem of 10²+6²+c² is incorrect; she put the right values in the wrong spots, the formula needed is:
6²+10²=c²

Option C- Angelica's side lengths were too long.

scoray [572]2 years ago

6 0

Answer:

(D) last option: Angelica made an error substituting the values into the Pythagorean theorem. The equation should be.

Step-by-step explanation:

You might be interested in

Find the slope and y intercept of the line y=7/5x-3 5/7; 3 3; 7/5 7/5;-3 -3; 7/5

7nadin3 [17]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

y = 7/5x - 3

Comparing with the above formula

<h3>Slope / m = 7/5</h3><h3>c/ y intercept = - 3</h3>

Hope this helps you

8 0

2 years ago

Read 2 more answers

Help help math math math math math

chubhunter [2.5K]

<h3>Answer: y - 4 = -2(x - 5)</h3>

==================================================

Explanation:

Point slope form is

y - y1 = m(x - x1)

where m is the slope and (x1,y1) is the point the line goes through.

Parallel lines have equal slopes but different y intercepts. The given equation y = -2x-3 has a slope of -2, meaning that m = -2 is also the slope of the mystery parallel line.

-2 will go in the second box that's just to the left of the parenthesis.

The coordinates of (5, 4) will go in the other remaining boxes to finish off the equation.

We go from this

y - y1 = m(x - x1)

to this

y - 4 = -2(x - 5)

5 0

2 years ago

PLEASE HELP !!!!!!!!Solve the system of equations using the linear combination method.

vfiekz [6]

Answer:

The solution would be (5, -2)

Step-by-step explanation:

To use this method, start by multiplying the second equation by -1. Then add the two equations together.

9x + 5y = 35

-2x - 5y = 0

------------------

7x = 35

x = 5

Now that we have the value of x, use it to solve either equation for y.

2x + 5y = 0

2(5) + 5y = 0

10 + 5y = 0

5y = -10

y = -2

6 0

3 years ago

A recent survey based on a random sample of n=470 voters, predicted that independent candidate for the mayoral election will get

julsineya [31]

I have an expression

$\sigma = \sqrt{p(1-p)/n}$

floating around in my head; let's see if it makes sense.

The variance of binary valued random variable b that comes up 1 with probability p (so has mean p) is

$E( (b-p)^2 ) = (-p)^2(1-p) + (1-p)^2p = p(1-p)$

That's for an individual sample. For the observed average we divide by n, and for the standard deviation we take the square root:

$\sigma = \sqrt{p(1-p)/n}$

Plugging in the numbers,

$\sigma = \sqrt{.24(1-.24)/490} = 0.019 = 1.9\%$

One standard deviation of the average is almost 2% so a 27% outcome was 3/1.9 = 1.6 standard deviations from the mean, corresponding to a two sided probability of a bit bigger than 10% of happening by chance.

So this is borderline suspect; most surveys will include a two sigma margin of error, say plus or minus 4 percent here, and the results were within those bounds.

7 0

3 years ago

Y=5x+2 <br> 4x-y=0<br> is (2,12) a solution of the system?

Svetach [21]

Answer:

The point (2,12) is not a solution of the system

see the explanation

Step-by-step explanation:

we have

$y=5x+2$ ----> equation A