Ask question

Ask question

All categories

2 years ago

15

Put points A, B, C, and D on a line consecutively, so that AB = BC = CD = 6 in. Find the distance between points M and N, the mi

dpoints of segments AB and CD respectively.

2 answers:

katrin [286]2 years ago

8 0

AD = 6·3 = 18 in.
AM = AB/2 = 6/2 = 3 in.
DN = CD/2 = 6/2 = 3in.
MN = AD - (AM+DN) = 18 - (3+3) = 12 in.

Alex Ar [27]2 years ago

3 0

The entire answer would come out to being =12

You might be interested in

Abel and Cedric will share a total of $180. Abel will receive half as much as Cedric. What amount. in dollars, will Cedric recei

Black_prince [1.1K]

Answer:

Cedric's share=$120

Abel's share=$60

Step-by-step explanation:

Abel will receive half as much as Cedric

Let

Cedric's share=x

Abel's share = 1/2 of x

Total money=$180

x + 1/2x = 180

2x+x/2 =180

3/2x=180

Divide both sides by 3/2

x= 180÷3/2

=180 × 2/3

=360/3

=120

Therefore,

Cedric's share = x = 120

Abel's share=1/2x

=1/2 × 120

=120/2

=60

Cedric's share=$120

Abel's share=$60

4 0

2 years ago

Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

barxatty [35]

Answer:

x=9,-1 and $x^2+(-8)x=9$

Explanation:

we have been given with the quadratic equation $x^2-8x-9$

we compare the given quadratic equation with general quadratic equation

general quadratic is $ax^2+bx+c=0$

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant $D=b^{2}-4ac$

$D=(-8)^2-4(1)(-9)=100$

Now, to find the value of x

Formula is $x=\frac{-b\pm\sqrt{D}}{2a}$

Now, substituting the values we will get

$x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1$

And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

$x^2+bx=c$

4 0

2 years ago

Read 2 more answers

In 2014, 85 percent of households in the United States had a computer. For a randomly selected sample of 200 households in 2014,

DochEvi [55]

Answer:

The mean of C is 170 households

The standard deviation of C, is approximately 5 households

Step-by-step explanation:

The given parameters are;

The percentage of households in the United States that had a computer in 2014 = 85%

The size of the randomly selected sample in 2014, n = 200

The random variable representing the number of households that had a computer = C

Therefore, we have;

The probability of a household having a computer P = 85/100 = 0.85

Let

Therefore;

The mean (expected) number in the sample, μₓ, = E(x) = n × P is given as follows;

μₓ = 200 × 0.85 = 170

The mean of C = μₓ = 170

The variance, σ² = n × P × (1 - P) = 200 × 0.85 × (1 - 0.85) = 25.5

Therefore;

The standard deviation, σ = √(σ²) = √(25.5) ≈ 5.05

The standard deviation of C, σ ≈ 5 households (we round (down) to the nearest whole number)

7 0

2 years ago

Read 2 more answers

An employment agency requires applicants average at least 70% on a battery of four job skills tests. If an applicant scored 70%,

brilliants [131]

Answer:

atleast 52

Step-by-step explanation:

Given that an employment agency requires applicants average at least 70% on a battery of four job skills tests.

An applicant scored 70%, 77%, and 81% on the first three exams,

Since weightages are not given we can assume all exams have equal weights

Let x be the score on the 4th test

Then total of all 4 exams = $70+77+81+x\\= 228+x$

Average should exceed 70%

i.e. $\bar X \geq 70\\Total\geq 70(4) =280$

Comparing the two totals we have

$228+x\geq 280\\x\geq 280-228 = 52$

Hemust score on the fourth test a score atleast 52 to maintain a 70% or better average.

3 0

2 years ago

If →u and →v are the vectors below, find the vector →w whose tail is at the point halfway from the tip of →v to the tip of →v−→u

S_A_V [24]

Û = (-1, -1, -1)
^v = (2, 3, -5)
^v - û = (2 + 1, 3 + 1, -5 + 1) = (3, 4, -4)
Half way from ^v to ^(v - u) = ((3 - 2)/2, (4 - 3)/2, (-4 + 5)/2) = (1/2, 1/2, 1/2)
Halfway from û to ^v = ((2 + 1)/2, (3 + 1)/2, (-5 + 1)/2) = (3/2, 2, -2)

The required vector ^w = ((3/2 - 1/2), (2 - 1/2), (-2 - 1/2)) = (1, 1/2, -5/2)

5 0

2 years ago