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3 years ago

In ∆ABC , the coordinates of the vertices are A(-2, 4), B(-1, 1), and C (2, 2). ∆ABC is a right triangle.

Mathematics

1 answer:

Akimi4 [234]3 years ago

3 0

Answer: True

Step-by-step explanation: I made a picture and it adds up:

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What is the remainder of 715 divided by 9

aliina [53]

Answer:

79 R 4 or 79 R 4/9

Step-by-step explanation:

7 0

2 years ago

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PLEASE HELP!!!!!!!!! ASAP!!!!! I REWARD BRAINLIEST!!!! HAVE CLASS IN 30 MINUTES!1111

KiRa [710]

Answer:

$y = \dfrac{1}{3}x + 1$

Step-by-step explanation:

The given line is in slope-intercept form,

y = mx + b,

where m is the slope.

The slope of the given line is 1/3, so m = 1/3.

Parallel lines have equal slopes, so the slope of the parallel line is also 1/3.

y = 1/3 x + b

Now we can find the equation of the parallel line through point (6, 3) by using the given point's coordinates for x and y and solving for b.

3 = (1/3)(6) + b

3 = 2 + b

b = 1

Equation: $y = \dfrac{1}{3}x + 1$

8 0

2 years ago

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The average wage for an electrician in CA is $25.47/hour. That is 11% above the national average. What is the national average?

yan [13]

Answer:

$22.95/hour.

Step-by-step explanation:

It is given that the average wage for an electrician in CA is $25.47/hour. That is 11% above the national average.

Let as consider x be the national average.

11% above the national average is

$x+\dfrac{11}{100}x=x+0.11x=1.11x$

The average wage for an electrician in CA is 11% above the national average. So,

$1.11x=25.47$

Divide both sides by 1.11.

$x=\dfrac{25.47}{1.11}$

$x=22.945945...$

$x=22.95$

Therefore, the national average is $22.95/hour.

3 0

3 years ago

Find the coordinates of the midpoint M of the segment with the given endpoints. Then find the distance between the two points. R

Mrac [35]

Answer:

Midpoint (-2,4)

distance nearest tenth = 8.9

The approximate distance = 9

Step-by-step explanation:

Formulas

PQ midpoint = (x2 + x1)/2, (y2 + y1)/2

distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Givens

x2 = -4

x1 = 0

y2 = 1

y1 = 7

Solution

M(PQ) = (-4+0)/2, (1 + 7)/2

M(PQ) = -2, 4

The midpoint is -2,4

The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )

The distance = sqrt(16 + 64)

The distance = sqrt(80)

The distance = 4√5 exactly

The distance = 8.94

The distance = 8.9 To the nearest tenth

Question 2

The distance is rounded to the nearest whole number which is 9.

6 0

3 years ago

A square has side length (x+5) units. What is it’s area

daser333 [38]

The area of square is $x^{2}+10 x+25$ square units

<h3><u>Solution:</u></h3>

Given that square has side length (x+5) units

To find: area of square

<em><u>The area of square is given as:</u></em>

$\text {Area of square }=\mathrm{a}^{2}$

Where "a" is the length of side

From question, length of each side "a" = x + 5 units

Substituting the value in above formula,

$\text {Area of square }=(x+5)^{2}$

${\text {Expanding }(x+5)^{2} \text { using the algebraic identity: }} \\\\ {(a+b)^{2}=a^{2}+2 a b+b^{2}}\end{array}$

$\begin{array}{l}{\text {Area of square }=x^{2}+2(x)(5)+5^{2}} \\\\ {\text {Area of square }=x^{2}+10 x+25}\end{array}$

Thus the area of square is $x^{2}+10 x+25$ square units

7 0

3 years ago