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Pachacha [2.7K]
3 years ago
5

Justify each step of the solution by stating the property that was used to get to each step.

Mathematics
1 answer:
Sphinxa [80]3 years ago
6 0
<span>step 1: 20 -26x 9x = -34x 60
step 2: -17x = -34x 40
step 3: 17x = 40
step 4: x = 40/17
</span>
<span>

</span>
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A. What are the coordinates of the vertices of the triangle below?
Viktor [21]

Answer:

Solution given:

<u>A.coordinate are</u>

A(-2,3)

B(0,-3)

C(4,5)

<u>B</u><u>.</u><u>Each</u><u> </u><u>length</u><u> </u><u>are</u><u> </u><u>:</u>

we have

length \sqrt{(x2-x1)²+(y2-y1)²}

now

AB:\sqrt{(-2-0)²+(3+3)²}=2\sqrt{10}units

BC:\sqrt{(0-4)²+(-3-5)²}=4\sqrt{5}units

AC:\sqrt{(-2-4)²+(3-5)²}=2\sqrt{10}units

<u>C.</u><u> the </u><u>figure</u><u>:</u>

<u>By</u><u> </u><u>using</u><u> </u><u>Pythagoras</u><u> </u><u>law</u>

base[b]=AB=perpendicular [p]=AC

hypotenuse [h]=BC

we have

h²=p²+b²

substituting value

(4\sqrt{5})²=2p²

16*5=2*(2\sqrt{10})²

80=2*4*10

80=80

<u>SO</u><u> </u><u>IT</u><u> </u><u>IS</u><u> </u><u>RIGHT</u><u> </u><u>ANGLED</u><u> </u><u>ISOSCELES</u><u> </u><u>TRIANGLE</u><u>.</u>

4 0
3 years ago
3. What is the slope of a line that passes<br> through (0,-5) and (8,27)?
Elden [556K]

Answer:

4.

Step-by-step explanation:

Slope = difference in y coordinates / difference in the corresponding x coordinates

(27 - (-5)) / (8 - 0)

= 32 / 8

= 4.

6 0
3 years ago
Read 2 more answers
How many solutions does the quadratic system shown below have ?
Anna11 [10]
It is 4! hope this helps>3
4 0
3 years ago
At the beginning of a population study, a city had 360,000 people. Each year since, the population has grown by 4.3%.
dangina [55]

Answer: y = 360,000 times t + 4.3%

Step-by-step explanation:

6 0
3 years ago
Y= 2x - 3<br> y= -x + 9<br><br> Graph the solution
Stella [2.4K]
Y = 2x - 3
y = -x+ 9

2x-3 = -x+9
2x+x = 9+2
3x = 12
x = 12/3
x = 4

y = 2(4)-3
y = 8-3 = 5

Mark on (4,5) & draw the line from origin.

Hope this helps!

4 0
3 years ago
Read 2 more answers
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