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4 years ago

What is the distance between (-15,1) and (-15,6)

Mathematics

1 answer:

Vladimir [108]4 years ago

3 0

Answer:

So you would use the distance formula which is the square root of (x2-x1)^2 + (y2-y1).

Step-by-step explanation:

So it would be the square root of (-15-(-15)^2 + (6-1)^2

(-15-(15)^2 is the same thing as (-15+15)^2.

(-15+15)^2 is equal to 0^2 which is, 0.

(6-1)^2 is equal to 5^2, which is 25.

So the square root of 0 + 25 is the same thing as radical 25.

Radical 25 is equal to 5.

So, the final answer is 5.

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Using a pair of compasses and a ruler only,construct ∆ABC where

LenKa [72]

1.Drawn a straight line AB=7 cm with the help of ruler.

2.With the help of compass drawn an arc from A and at the point where it cuts AB from that point made another arc drawn an arc cutting the previous arc.

3.From A drawn a straight line joining the arc and extend it to M.

4.With the help of ruler measured 5 cm and mark it as AC.

5.Joined BC and we get the required triangle.

6.From C drawn an arc and make it cut on AC and BC and from the point it cuts AC and BC drawn arc cutting each other and extend a line from point C extend a line to the point point of intersection of two arc.

7.Similarly we do for A and the point where the two line intersect denoted as O.

8.Made a perpendicular from O on AB this perpendicular will be radius and taking O as centre we draw a circle this is our incircle.

9.And AN is our locus of points equidistant from two lines AB and AC.

We need to construct a circle inscribed in triangle that is incircle it can be done by making angle bisector of two sides the point where it intersect will be incentre. The centre of required circle.

The angle bisector is the locus where points are equidistant from two sides.

6 0

3 years ago

Which expression is equivalent to 2 (t -4) + 1

OlgaM077 [116]

Answer:

2t-7

Step-by-step explanation:

2(t-4)+1

When you multiply out the two, you get:

2(t) - 2(4) +1

2t - 8 + 1

2t-7

4 0

3 years ago

Read 2 more answers

How do i solve this equation? W(t)=80-2.5t

Anna007 [38]

W2.5=80 , 80/2.5= 32 t=32

6 0

3 years ago

In recent years more people have been working past the age of 65. In 2005, 27% of people aged 65–69 worked. A recent report from

Vinil7 [7]

Answer:

a) point estimate is 30%

b) null and alternative hypothesis would be

$H_{0}$ : p=27%

$H_{a}$ : p>27%

c) We reject the null hypothesis, percentage working people aged 65-69 had increased

Step-by-step explanation:

a. 

Point estimate would be the proportion of the working people aged 65–69 to the sample size and equals $\frac{180}{600}=0.3$ ie 30%

b.

Let p be the proportion of people aged 65–69 who is working. OECD claims that percentage working had increased. Then null and alternative hypothesis would be

$H_{0}$ : p=27%

$H_{a}$ : p>27%

c.

z-score of the sample proportion assuming null hypothesis is:

$\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of working people aged 65–69 (0.3)
p is the proportion assumed under null hypothesis. (0.27)
N is the sample size (600)

then z= $\frac{0.3-0.27}{\sqrt{\frac{0.27*0.73}{600} } }$ = 1.655

Since one tailed p value of 1.655 = 0.048 < 0.05, sample proportion is significantly different than the proportion assumed in null hypothesis. Therefore we reject the null hypothesis.

3 0

3 years ago

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What is the measure of JL? А. 16° В. 64° с. 148 D. 32°

enyata [817]

Answer:

Step-by-step explanation:

4 0

3 years ago