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Sveta_85 [38]
3 years ago
7

Write an equation in slope intercept form for the line that travels through (1,-2) and (6,8)

Mathematics
1 answer:
MariettaO [177]3 years ago
3 0

Answer:

y=2/1x

Step-by-step explanation:

Subtract (6,8) by (1, -2)

8--2/6-1=10/5

Simply

10/5=2

Plug in

y=2x

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Step-by-step explanation:

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3 years ago
From a standard deck of cards, what is the probability that you choose a red card and then choose a 3 assuming you replaced the
Hunter-Best [27]
A standard deck of cards has 52 cards. Half of the deck has red cards and half has black cards. So the first probability would be 26/52, or 1/2 (simplified, it's half the deck).

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3 years ago
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Which is a correct definition of perpendicular lines?
djyliett [7]
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4 0
2 years ago
Lorie correctly determines that for the triangles below, the statement pg and the statement both describe the relationship betwe
Tasya [4]

Answer:

The correct option is 1.

Step-by-step explanation:

Two triangles are called similar if all the corresponding angles are congruent or all corresponding sides are in same proportion.

In triangle MNO and triangle RTS.

\angle M\cong\angle R=54.4^{\circ}          (Given)

\angle N\cong\angle T=71.2^{\circ}            (Given)

According to the angle sum property, the sum of all interior angles of a triangle is 180 degree. Since two corresponding angles are congruent, therefore third angle is also congruent.

\angle O\cong\angle S=54.4^{\circ}

Since all corresponding angles are congruent, therefore the triangles MNO and RTS similar.

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7 0
3 years ago
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-8(8 - x) = 4/5(x + 10)
Vedmedyk [2.9K]

Answer:

x = 10

Step-by-step explanation:

Solve for x:

-8 (8 - x) = (4 (x + 10))/5

Multiply both sides by 5:

-8×5 (8 - x) = (5×4 (x + 10))/5

(5×4 (x + 10))/5 = 5/5×4 (x + 10) = 4 (x + 10):

-8×5 (8 - x) = 4 (x + 10)

5 (-8) = -40:

-40 (8 - x) = 4 (x + 10)

Expand out terms of the left hand side:

40 x - 320 = 4 (x + 10)

Expand out terms of the right hand side:

40 x - 320 = 4 x + 40

Subtract 4 x from both sides:

(40 x - 4 x) - 320 = (4 x - 4 x) + 40

40 x - 4 x = 36 x:

36 x - 320 = (4 x - 4 x) + 40

4 x - 4 x = 0:

36 x - 320 = 40

Add 320 to both sides:

36 x + (320 - 320) = 320 + 40

320 - 320 = 0:

36 x = 40 + 320

40 + 320 = 360:

36 x = 360

Divide both sides of 36 x = 360 by 36:

(36 x)/36 = 360/36

36/36 = 1:

x = 360/36

The gcd of 360 and 36 is 36, so 360/36 = (36×10)/(36×1) = 36/36×10 = 10:

Answer:  x = 10

7 0
3 years ago
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