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2 years ago

Identify the slope and the y-intercept of the line with the given equation: 2x+6y=12

Mathematics

1 answer:

Elza [17]2 years ago

5 0

Answer:

The slope is -1/3 and the y-intercept is (0, 2).

Step-by-step explanation:

2x+6y=12

6y=12-2x

6y=-2x+12

y=-2/6x+12/6

y=-1/3x+2

y=mx+b where m=slope and b=y-intercept

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If JKLM is a rhombus, MK = 30, NL = 13, and mZMKL = 41°, find each measure.

oksian1 [2.3K]

Answer:

$NK = 15$

$JL = 26$

$KL = 19.85$

$\angle JKM =49$

$\angle JML =41$

$\angle MLK = 90$

$\angle MNL =90$

$\angle KJL =41$

Step-by-step explanation:

Given

$MK = 30$

$NL = 13$

$\angle MKL = 41$

Solving (a): NK

MK is a diagonal and NK is half of the diagonal. So:

$NK = \frac{1}{2} * MK$

$NK = \frac{1}{2} * 30$

$NK = 15$

Solving (b): JL

JL is a diagonal, and it is twice of NL.

$JL = 2 * NL$

$JL = 2 * 13$

$JL = 26$

Solving (c): KL

To solve for KL, we consider triangle KNL where:

$\angle KNL = 90$

and

$KL^2 = NL^2 + NK^2$

$KL^2 = 13^2 + 15^2$

$KL^2 = 394$

$KL = \sqrt{394$

$KL = 19.85$

Solving (d - h):

To do this, we consider triangle JKN

$\angle KNL = \angle LNM = \angle MNJ = \angle JNK = 90$ -- diagonals bisect one another at right angle

Alternate interior angles are equal. So:

$\angle MKL = \angle KMJ = \angle KJL = \angle JLM = 41$

Similarly:

$\angle MKJ = \angle KML = \angle MJL = \angle JLK = 90 - 41$

$\angle MKJ = \angle KML = \angle MJL = \angle JLK = 49$

So:

$\angle JKM =49$

$\angle JML =41$

$\angle MLK = \angle MLJ + \angle JLK$

$\angle MLK = 49 + 41$

$\angle MLK = 90$

$\angle MNL =90$

$\angle KJL =41$

5 0

2 years ago

The length of a rectangle is five times its width.

kykrilka [37]

Answer:

w=10

L=50

Step-by-step explanation:

<h2><em>Length=5w</em></h2><h2><em>Width=W</em></h2>

6w=60

---- ----

6 6

w=10

5(10)=50

L=50

Also can you make me the top answer?

4 0

3 years ago

Ten coins weigh 25 grams how much does 1 coin weigh

kykrilka [37]

You need to divide here! Ok so if ten coins weigh twenty five grams, we need to do:
10÷25=?
Its easy if its ten you just shift the places. !0 divided by 25 is 2.5

8 0

3 years ago

I need help asap :):)):):

Ksju [112]

Answer:

$43.20

Step-by-step explanation:

Subtract the tax to find the actual sale price then multiply by 4. 12-1.20=10.80.... 10.80*4=43.30

7 0

3 years ago

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3x + 5 equals 19 - 4x what does x equals to

GenaCL600 [577]

Answer:

Step-by-step explanation:

3x + 5 = 19 - 4x <em>subtract 5 from both sides</em>

3x = 14 - 4x <em>add 4x to both sides</em>

7x = 14 <em>divide both sides by 7</em>

x = 2

8 0

3 years ago

Read 2 more answers