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3 years ago

In a dilation with a scale factor of 3/4,the image is __________ the preimage

1 answer:

3 0

I would say smaller than because you would be dilating the image by a number less than 1, which is making the image smaller.

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a line passes through point (-2,5) and has a slope of 2/3 points a (x,3) and b ( -2, y) lie on the line what is the value of y a

Tomtit [17]

Answer:

The value of y is 5 , and The value of x is - 5

Step-by-step explanation:

Given as :

The line passes through point ( - 2, 5)

The slope of line is m = $\frac{2}{3}$

Equation of line is written as

y - $y_1$ = m × (x - $x_1$ )

Since line passes through line ( - 2 , 5 ) and have slope $\frac{2}{3}$

So, y - 5 = $\frac{2}{3}$ × (x + 2)

Or, 3 × ( y - 5 ) = 2 × ( x + 2 )

Or, 3 y - 15 = 2 x + 4

Or, 3 y - 2 x - 19 = 0 is the equation of line

Now points ( x , 3 ) lies on the line 3 y - 2 x - 19 = 0

So, 3 × 3 - 2 x - 19 = 0

or, 9 - 2 x - 19 = 0

or, 2 x = - 10

∴ x = - $\frac{10}{2}$

I.e x = - 5

Again points ( - 2 , y ) lies on the line 3 y - 2 x - 19 = 0

So, 3 × y + 2 × 2 - 19 = 0

Or, 3 × y + 4 -19 = 0

or, 3 y = 15

∴ y = $\frac{15}{3}$

I.e y = 5

Hence The value of y is 5 , and The value of x is - 5 . Answer

8 0

3 years ago

A new car that sells for $19,000 depreciates (decreases in value) 21% each year. What is the decay factor, b? 0.79 0.21 79 21

laiz [17]

The decay factor is 0.21 ((:

3 0

3 years ago

Read 2 more answers

Tonya is twice Kevin's age. In three years, Tonya will be 17. And in another three years, Uncle Rob will be three times Tonya's

Nady [450]

Step-by-step explanation:

"In three years, Tonya will be 17."

14 + 3 = 17, so Tonya is 14 atm. (At The Moment)

"Tonya is twice Kevin's age." Kevin is 7, because 7 x 2 = 14.

"In another three years, Uncle Rob will be three times Tonya's age."

Since Tonya is 14, multiply 14 x 3 and you get 42.

If you're asking for the three years, 17 x 3 = 51 < Uncle Rob's age

Kevin is about 8 1/2 years old. Since 8 x 2 = 16, I multiplied 8 1/2 x 2 and got 17.

I hope this helped.

4 0

3 years ago

Please help, will give brainlist

Marrrta [24]

Answer:

Step-by-step explanation:

compare the divisor x+1 with x-a which will be -1 then use remainder theorem to get your answer

5 0

3 years ago

Which equation represents the line that is perpendicular to y = 5 and passes through (-4,-3)?

kenny6666 [7]

Answer:

The required equation is: y=-3

Option D is correct.

Step-by-step explanation:

We need to write equation of line that is perpendicular to y = 5 and passes through (-4,-3).

The equation of line in slope-intercept form is expressed as: $y=mx+b$

where m is slope and b is y-intercept.

Finding Slope:

Comparing with the given equation y=5, the slope m =0

The slope of required line will be opposite reciprocal of 0 as both lines are perpendicular. so it will be m=0

Finding y-intercept

The y-intercept can be found using slope m=0 and point (-4,-3)

$y=mx+b\\-3=0(-4)+b\\b=-3$

So, y-intercept b is b=-3

The equation of required line having slope m=0 and y-intercept b=-3 is

$y=mx+b\\y=0(x)-3\\y=-3$

So, required equation is: y=-3

Option D is correct.

6 0

3 years ago