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Stella [2.4K]
2 years ago
7

Parallel to y=−3/4x, through (4, -1)

Mathematics
1 answer:
kolbaska11 [484]2 years ago
7 0

Answer:

y=-\frac{3}{4}x+2

Step-by-step explanation:

The slope-intercept form is given by y=mx+c, where m is the slope and c is the y-intercept.

Slope of given line= -\frac{3}{4}

Parallel lines have the same slope. Thus, the slope of the line would also be -\frac{3}{4}.

y=-\frac{3}{4}x +c

The value of c can be found by substituting a pair of coordinates.

When x= 4, y= -1,

-1=-\frac{3}{4} (4)+c

-1= -3 +c

<em>Add 3 to both sides:</em>

c= -1 +3

c= 2

Thus, the equation of the line is \bf{y=-\frac{3}{4}x+2.

Additional:

Do check out the following for a similar question on slope-intercept form!

  • brainly.com/question/25549430
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The CBGC pays college and high school students $5.75 per hour to tutor the younger boys and girls. If one of those tutors works
Levart [38]

Answer:

1. $35.075

2. 43.5 hours

3. 70%

4. Danny is correct

5. Abe's score out of the 30 points of the last quiz to get an overall checkup quiz grade of 80% should be 28.5

Step-by-step explanation:

The pay per hour for student tutors = $5.75

1. A tutor who worked 3.4 hours on Monday and 2.7 hours on Thursday has worked, 3.4 + 2.7 = 6.1 hours for the week, therefore

The week earning for the tutor = 6.1 × 5.75 = $35.075

2. The Club's tutoring budget per week = $250

The number of tutoring hours that can be provided per week is given by the relation;

\frac{The \, Club's \ tutoring\  budget \ per \, week}{The \, pay \ per \, hour\,  for\,  student\,  tutors} = \frac{\$250}{\$5.75/hour} = 43.47826  \approx 43.5 \, hours

3. The score of 21 out of 30 as a percentage is given as follows;

\frac{21}{30} \times 100 = 70\%

4. Where the second score is 45 out of a total of 60 points, we have;

\frac{45}{60} \times 100 = 75\%

Therefore, the increase in Abe's score is 5%, therefore, Danny is correct

5. To raise his checkup quiz grade to 80% overall, then we should have;

\frac{70 + 75 + Q}{300} =\frac{80}{100}

Where:

Q = The percentage grade of the last quiz

(145 + Q)×100 = 80×300 = 24000

145 + Q = 240

Q = 240 - 145 = 95%

Therefore, he has to score, 95% of 30 on the last quiz, which is thus;

\frac{95}{100} \times 30 = 28.5

Abe's score out of the 30 points of the last quiz to get an overall checkup quiz grade of 80% = 28.5 points.

7 0
3 years ago
Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hou
Alexxx [7]

Answer:

11(t+r)+35

Step-by-step explanation:

they make 11 dollars an hour so you have to multiply 11 by t hour an r hours. then only one of them worked overtime so you add 35.

5 0
3 years ago
My meal cost $32.50 and I want to tip<br> 16%. What is my total for that meal?
nadya68 [22]

Answer:

Step-by-step explanation:

37.70

4 0
3 years ago
Read 2 more answers
If a cone is 6 inches tall and has a radius of 4 inches. What is its volume?
Doss [256]

Answer:

100.53

Step-by-step explanation:

Following the formula, V=πr2h 3, you would get 100.53 with 6 as the height and 4 as the radius.

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2 years ago
What is the surface area? 10 cm 7 cm 3 cm square centimeters
alexandr1967 [171]

Answer:

242cm^2

Step-by-step explanation:

The formula for surface area of a rectangular(assuming that's what you have) is Perimeter of the Base(height) + 2(Area of the Base)

Or you could add up all the sides, or use this formula

SA=2(length*width)+2(length*height)+2(height*width)

2×(10×7 + 10×3 + 7×3)

helpful links:

https://www.khanacademy.org/math/ basic-geo/basic-geo-volume-sa/basic-geometry-surface-area/v/surface-area-of-a-box

http://www.math.com/tables/geometry/surfareas.htm

https://www.basic-mathematics.com/surface-area-formula.html

6 0
3 years ago
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