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olchik [2.2K]
3 years ago
7

Examination practice

Mathematics
1 answer:
Flauer [41]3 years ago
7 0

Answer:

Please refer to the attachment

Hope it helps

Please mark me as the brainliest

Thank you

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Given the points A(-1,-3) and B(5,2). A. Write the equation of the straight line AB. Another line MN is parallel to AB and passe
Alexus [3.1K]
<u>Find slope of AB where A = (-1,-3) and B = (5,2):</u>

\text {Slope = }  \dfrac{Y_2-Y_1}{X_2-X_1}

\text {Slope = }  \dfrac{2+3}{5+1} =  \dfrac{5}{6}

<u>Write equation with the slope found:</u>

y = mx + b

y =  \dfrac{5}{6} x + b

<u>Find y-intercept:</u>

y = \dfrac{5}{6} x + b

2 = \dfrac{5}{6} (5) + b

2 = \dfrac{25}{6} + b

b = 2 - \dfrac{25}{6}

b = -\dfrac{13}{6}

<u>Form the equation:</u>

y = \dfrac{5}{6} x  - \dfrac{13}{6}

\boxed {\boxed {\bf \text {Answer: Line AB : }y = \dfrac{5}{6} x - \dfrac{13}{6}}}

<u>
Find Slope of Line  MN where MN is parallel to AB:</u>

\text {Slope of MN  = Slope of AB = }  \dfrac{5}{6}

<u>Write equation with the slope found:</u>

y = mx + b

y = \dfrac{5}{6} x + b

<u>Find y-intercept given that the line passed through (6, -2):</u>

y = \dfrac{5}{6} x + b

-2 = \dfrac{5}{6} (6) + b

-2 =5 + b

b = -2 - 5

b = -7

&#10;\boxed {\boxed {\bf \text {Answer: Line MN } : y = \dfrac{5}{6} x -7 }}

8 0
4 years ago
F=(9/5) C +32, C=15 Can you show me what a graph looks like?
CaHeK987 [17]

Answer:

Step-by-step explanation:

F=(9/5) C +32 has the form of the equation of a straight line:  y = mx + b, where m is the slope and b is the y-intercept.  By comparing these two equations we see that the slope, m, is (9/5) and the y-intercept is 32 (or (0, 32)).

To graph this, first locate the y-intercept (0, 32); put a dark dot there.  Since the slope is 32, or 32/1, move your pencil point 1 unit to the right, from (0, 32) to (1, 32), and then from (1, 32) move y our pencil point 32 units upward.  Plot another dark dot there and then draw a straight line through these two points.

We can evaluate the given function F=(9/5) C +32 at C = 15 by replacing C in the formula with 15:  F = (9/5)(15) + 32, or F = 59.

8 0
3 years ago
What is the domain of the function in this table?
Svet_ta [14]

Answer: B

Step-by-step explanation: The domain are all x values, meaning only the x values are counted for the domain.

8 0
3 years ago
Read 2 more answers
The ratio of the measures of three angles in a triangle is 14:5:11. Find the measures of the angles
EleoNora [17]

Answer:

84 degrees

30 degrees

66 degrees

Step-by-step explanation:

14 + 5 + 11 = 30

180/30 = 6

14 × 6 = 84 degrees

5 × 6 = 30 degrees

11 × 6 = 66 degrees

Please Rate Thank and Mark as Brainliest!

7 0
4 years ago
Illmark brainlist plss help
Aloiza [94]

Answer:

Step-by-step explanation:

Grace paid $4.80/(4 notebooks) = {$4.80/4)/notebook = $1.20 per notebook

Jim paid $3.90/(3 notebooks) = ($3.90/3)/notebook = $1.30 per notebook

Grace found the better buy.

8 0
3 years ago
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