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Greeley [361]
2 years ago
14

Aleks topics knowledge check

Mathematics
1 answer:
nikdorinn [45]2 years ago
8 0

so its 76 + 88 = then add you will get ur answer
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What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−2/3x+5
Anuta_ua [19.1K]

Answer:

y = \frac{3}{2} x-11

Step-by-step explanation:

We are to find the equation a line that passes through the point (8, 1) and which is perpendicular to a line whose equation isy = - \frac{2}{3} x+5.

We know that the slope of line which is perpendicular to another line is the negative reciprocal of the slope of the other line so it will be \frac{3}{2}.

Then, we will find the y-intercept of the line using the standard equation of a line:

y=mx+c

1=\frac{3}{2} (8)+c

c=-11

Therefore, the equation of the line will be y = \frac{3}{2} x-11.


7 0
3 years ago
Read 2 more answers
Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12 cm and is the longest side of ABC. Side DE measures 8 cm and
evablogger [386]

Answer:

a) 3/2 or 1.5

b) 2/3 or ≈.66

Step-by-step explanation:

AB corresponds to DE because they are both the longest sides of their respective triangles.

a) The scale factor would be what you would multiply 8 by to get 12. 12/8 is 3/2 or 1.5

b) The scale factor would be what you multiply 12 by to get 8. 8/12 is 2/3 or ≈.66

4 0
3 years ago
Completely simplify the rational expression LaTeX: \frac{7x}{3y} + \frac{12x}{9y}
irina [24]

Answer:

\frac{11x}{3y}

Step-by-step explanation:

\frac{7x}{3y} + \frac{12x}{9y}

To add the two fractions, you need a common denominator.  In this case, the lowest common denominator (LCD) is 9y.  That's because 9y is divisible by both 3y and 9y.

The first fraction must be changed so that its denominator is 9y.  Do this by multiplying both numerator and denominator by 3.

\frac{7x}{3y}\cdot\frac{3}{3}+\frac{21x}{9y}=\frac{21x}{9y}+\frac{12x}{9y}\\=\frac{21x+12x}{9y}\\=\frac{33x}{9y}

Finally, this answer can be simplified ("reduced") by dividing both numerator and denominator by 3, their greatest common factor.

3 0
3 years ago
X-15 greater than or equal too 8. Solve and graph inequality
kakasveta [241]
X is greater than or equal 23 

Graph:< ___|_|_|_|_|_|_|_|______>
               19 20 21 22 23

closed dot over 23 and line and arrow going to the right 
3 0
3 years ago
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How do you simplify 2(3y-3)
dexar [7]
2(3y-3) simplified is 6y-6
4 0
3 years ago
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