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MA_775_DIABLO [31]
3 years ago
13

What is an equation of the line that passes through the point (-4,-7) and is perpendicular to the line 2x+3y=18??

Mathematics
1 answer:
Bezzdna [24]3 years ago
6 0

Answer:

y = 3/2x - 1

Step-by-step explanation:

Given: 2x + 3y = 18

The equation of the line in the slope-intercept form is y = -2/3x + 6.

slope = m = -2/3

The slope of the perpendicular line is negative inverse.

m = 3/2.  

Equation of the perpendicular line:

y = 3/2x + a.

Use the given point of (-4, -7) to find a:

-7 = (3/2)(-4) + a

a=−1.

y = 3/2x - 1

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8x−5x+4−x=Ax+8. Anyone know
lora16 [44]

Answer:

a = \frac{2x-4}{x}

x = \frac{4}{-a+2}

Step-by-step explanation:

Let's solve for a.

8x−5x+4−x=ax+8

Step 1: Flip the equation.

ax+8=2x+4

Step 2: Add -8 to both sides.

ax+8+−8=2x+4+−8

ax=2x−4

Step 3: Divide both sides by x.

Let's solve for x.

8x−5x+4−x=ax+8

Step 1: Add -ax to both sides.

2x+4+−ax=ax+8+−ax

−ax+2x+4=8

Step 2: Add -4 to both sides.

−ax+2x+4+−4=8+−4

−ax+2x=4

Step 3: Factor out variable x.

x(−a+2)=4

Step 4: Divide both sides by -a+2.

Hope this helps!

brainliest?

6 0
2 years ago
Which pair show equivalent expressions
zysi [14]
Second one if you distribute the first expression you get the second equation so the expressions are equivalent
6 0
3 years ago
HELP ASAP !!
denis-greek [22]
We have an equation: 432/?= 3/5

Cross multiply:
3*?= 432*5
⇒ ?= 432*5/3= 720

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6 0
3 years ago
School A has 216 students and 12 classrooms. School B has 104 students and 4 classrooms.
shusha [124]
<span>Ratio students to classroom in school A equals 216:12 which simplifies to 18:1. Ratio students to classroom in school B equals 104:4 which simplifies to 26:1.Total students combining school A and B equals 216+104=320 and Total classroom 12+4=16, if both school combined are assumed to be a single school C, than ratio of of students to the classroom in school C equals 320:16 which simplifies to 20:1 which means 20 students in every classroom, now total students in 4 classroom of School C equals 20x4=80, these 4 classroom are separated as School B and other 12 classroom School A, now ratio still 20:1 (same in both schools). initially students in School B were 104 and now are 80, then total students transferred equals 104-80= 24.</span>
8 0
4 years ago
Stem and left test score help (B help needed only)
marusya05 [52]

Given:

6 | 1 means a score of 61.

The scores of the students from the stem-and-leave are

61, 62, 63, 71, 73, 75, 77, 78, 78, 79, 82, 82, 84, 85, 89, 95, 96, and 99.

Required:

We need to find the lowest score in the 80s, the highest score overall, and the number of students who scored in the 70s.

Explanation:

The scores in the 80s are

82, 82, 84, 85, and 89.

The smallest score is 82.

The lowest score in the 80s is 82.

T

4 0
2 years ago
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