If 4 is subtracted from twice a number, the result is10 less than the number. Find the number.

Answers

Answer 1

Answer:

Let the number be x ,,, 2x-4=x-10x=-6

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Which line shows the first error in the solution?(1). 4x+8=2x-10 (2). 4x-2x+8=2x-2x-10 (3). 2x+8=-10 (4). 2x+8-8=-10-8 (5). 6x=-2 (6). 6x/6=-2/6 (7). x=-1/3

Tameron is driving 540 miles to college. If he drives at an average rate of 45 miles per hour, how many hours will it take him to get 34 of the way there?

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It will take him 9 hours

Hey find the y intercept of the line 5x-4y=30

Answers

Answer:

y-intercept = - 15/2

Step-by-step explanation:

5x-4y=30

-4y = -5x + 30

y = -5x/-4 + 30/-4

y = 5x/4 - 15/2

y-intercept = - 15/2

Line segment AB has endpoints A(2, 9) and B(5, 8) . A dilation, centered at the origin, is applied to AB¯¯¯¯¯ . The image has endpoints A′(43, 6) and B′(103, 163) . What is the scale factor of this dilation? 32
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Answer: The correct option is (B) $(2)/(3).$

Step-by-step explanation: Given that the co-ordinates of the end-points of a line segment AB are A(2, 9) and B(5, 8). After being dilated about the origin (0, 0), the co-ordinates of the end-points of image A'B' are $A^\prime\left((4)/(3),6\right)$ and $B^\prime\left((10)/(3),(16)/(3)\right).$

We are to find the scale factor of the dilation.

The scale factor of the dilation will be

$S=\frac{\textup{length of the image line}}{\textup{length of the original line}}.$

The lengths of the lines AB and A'B' are calculated using distance formula as follows:

$AB=√((5-2)^2+(8-9)^2)=√(9+1)=√(10),\n\n\nA'B'=\sqrt{\left((10)/(3)-(4)/(3)\right)^2+\left((16)/(3)-6\right)^2\right)}=\sqrt{4+(4)/(9)}=\sqrt{(40)/(9)}=(2)/(3)√(10)~\textup{units}.$