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sergey [27]
2 years ago
10

And slope of the linear equation y+8=3(x−5) ?

Mathematics
1 answer:
Triss [41]2 years ago
7 0

Answer:

slope:  3; vertex:  (5, -8)

Step-by-step explanation:

Compare the given y+8=3(x−5) to the slope-vertex form y - k = m(x - h).  We see that the slope, m, must be 3 and the vertex must be (h, k):  (5, -8).

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earnstyle [38]

Answer:

\angle 1 = 45 degrees

Step-by-step explanation:

Sum of 3 angles in a triangle is 180..

The angles given are:

60

7x + 12

1

So we sum to 180 and write:

60+7x+12+\angle 1=180\\72+7x+\angle 1=180\\7x+\angle 1=108

Also, straight angle is 180 degrees, thus Angle 1 and (14x + 9) angle is sum to 180, thus we can write:

14x+9+\angle 1=180\\14x + \angle 1=171

Or we can write this as:

14x + \angle 1=171\\\angle 1 = 171 - 14x

We substitute this expression for Angle 1 into 1st equation we got and solve for x first,

7x+\angle 1 = 108\\7x+( 171 - 14x)=108\\-7x=-63\\x=9

Since x = 9, the angle "14x + 9" would be:

14(9) + 9 = 135

Hence Angle 1 would be:

\angle 1 + 14x + 9 = 180\\\angle 1 + 135 = 180\\\angle 1 = 45

6 0
2 years ago
If Kerr is 38 years older than her daughter, in five years will be five times older . How old is her daughter,
kirill115 [55]

Answer:

5

Step-by-step explanation:

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2 years ago
I need help answering
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Put the values of the variables in place of the variables in the expression, then do the arithmetic.

8p+3q-18\\\\=8\left(\dfrac{1}{2}\right)+3(7)-18=\dfrac{8}{2}+21-18\\\\=4+21-18\\\\=25-18\\\\=\bf{7}

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3 years ago
Aaron runs a distance of 7.2km in the SE direction. How far east has Aaron run? Answer correct to one decimal point
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Step-by-step explanation:

cos 45° = distance to east / total distance=7,2

distance to east = cos 45° * 7,2 = 5,1 km

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