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Dmitrij [34]
3 years ago
9

Identify the slope and y-intercept of the line!

Mathematics
1 answer:
marta [7]3 years ago
5 0

Slope of the line = \frac{1}{2}.

y-intercept of the line = -7.

Solution:

General form of equation of a line:

y = mx + c

where m is the slope and c is the y-intercept of the line.

Equation of a line:

$y=\frac{1}{2} x-7

To compare this with general equation.

$m=\frac{1}{2}

c=-7

Slope of the line = \frac{1}{2}.

y-intercept of the line = -7.

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Melanie swarm for 142 minutes during her first week of vacation. In her two weeks of vacation she swam for a total of 347 minute
Soloha48 [4]

Answer: Melanie swam 63 minutes more in second week.

Step-by-step explanation:

Given ,  Time taken by Melanie in first week to swim = 142 minutes

Combined  time taken by her in first two weeks in swimming = 347 minutes

Now , time taken by her in second week =  (Combined  time  of first two week) - (Time taken in first week)

= 347-142 minutes

=  205 minutes

Clearly , 205 > 142 i.e. She swam more in second week than first week./

Difference i= 205-142 = 63

Therefore, Melanie swam 63 minutes more in second week.

3 0
3 years ago
What is<br> is 1/4 + 9/10y -3/5y +7/8 written in simplest form?
Leviafan [203]

Answer:

Step-by-step explanation:

\frac{1}{4}+\frac{9}{10}y - \frac{3}{5}y+\frac{7}{8}\\\\=\frac{1}{4}+\frac{7}{8}+\frac{9}{10}y-\frac{3}{5}y\\\\

Combine like terms. 1/4 and 7/8 are like terms and LCD of 4 and 8 is 8

9/10y and -3/5y are like terms and LCD of 10 , 5 is 10

= \frac{1*2}{4*2}+\frac{7}{8}+\frac{9}{10}y-\frac{3*2}{5*2}y\\\\=\frac{2}{8}+\frac{7}{8}+\frac{9}{10}y-\frac{6}{10}y\\\\=\frac{9}{8}+\frac{3}{10}y

5 0
3 years ago
Read 2 more answers
Please Help!! If answer, please answer them all, thank you!!
Sergio [31]

9514 1404 393

Answer:

  (b) angle FOA

  (c) angle EOA

  (d) angle AOH

Step-by-step explanation:

(b) The rays of vertical angles are opposites that form intersecting lines.

The opposite of ray OG is OF. The opposite of ray OB is OA, so the vertical angle to GOB is angle FOA.

__

(c) The opposite of ray OB is OA, so the supplement to angle EOB is angle EOA.

__

(d) Similarly, the supplement to angle BOH is angle AOH.

_____

<em>Comment on supplementary angles</em>

Angles that form a linear pair are supplementary. Angles do not have to form a linear pair to be supplementary. They merely have to have a sum of 180°. Here, the supplementary angles of interest do form a linear pair, so finding the other angle of the pair means only finding the other point that names the line being formed by the pair.

8 0
3 years ago
What two products would you add to find 713​x48
umka21 [38]

9514 1404 393

Answer:

  40·713 and 8·713

Step-by-step explanation:

When this multiplication is carried out "by hand", the usual sum of partial products is ...

  8·713 + 40·713

5 0
3 years ago
Read 2 more answers
Please help me, I’m struggling
Rzqust [24]

Answer:

28\sqrt{6}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

\sqrt{96}

= \sqrt{16(6)}

= \sqrt{16} × \sqrt{6}

= 4\sqrt{6}

Then

7\sqrt{96}

= 7 × 4\sqrt{6}

= 28\sqrt{6}

8 0
3 years ago
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