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Mandarinka [93]

3 years ago

8

The height above ground (in feet) of a projectile is given by the function h(t)=-16t^2+64t+10, where t is the number of seconds

that it has been in the air

1 answer:

julsineya [31]3 years ago

8 0

Answer:

40 seconds

Step-by-step explanation:

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Polygon ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to create A'B'C'D'. If the endpoints of

Sonja [21]

The distance formula is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Take point A(0, -7) as (x₁, x₂) and point B(8, 8) as (y₁, y₂)

Distance AB = $\sqrt{(8-0)^2+(8--7)^2}$
Distance AB = $\sqrt{8^2+15^2}$
Distance AB = $\sqrt{289}$
Distance AB = 17

The line AB is dilated to A'B' by scale factor of 2, it means the length of the line is multiplied by 2

Distance A'B' = 2 × 17 = 34 units

5 0

3 years ago

Nichior compared the slope of the function graphed to the slope of the linear function that has an x-intercept of 2/3 and a y-in

marusya05 [52]

Answer:

The slope of f(x) is 1.5

Step-by-step explanation:

step 1

Find the slope of the linear function that has an x-intercept of 2/3 and a y-intercept of -1

so

we have the points

(2/3,0) and (0,-1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-1-0}{0-2/3}$

$m=\frac{-1}{-2/3}$

$m=\frac{3}{2}=1.5$

step 2

Find the slope of the function graphed

take the points

(0,-1) and (3,6) approximately

substitute in the formula

$m=\frac{6+1}{3-0}$

$m=\frac{7}{3}=2.33$

step 3

we know that

f(x) represents the function with the smaller slope

The smaller slope is 1.5

therefore

The slope of f(x) is 1.5

4 0

3 years ago

Catherine graphed point P on the coordinate grid. She will graph point Q at a location that is 4 units left and 3 units up from

patriot [66]

The answer to your question is (4,1)

5 0

3 years ago

Mary has $65,000 to invest in two accounts. The first account is a private savings offering 6% annual interest and the second ac

const2013 [10]

Answer:

first account with 6% interest ( x ) = $46000

second account with 4% interest ( y ) = $19000

Step-by-step explanation:

Principal = $65000

first interest rate = 6%

second interest rate = 4%

assuming ; X = money invested in first account , Y = money invested in second account

hence :

( 65000 - y ) * 6% + ( 65000 - x ) * 4% = 3520

3900 - 0.06 y + 2600 - 0.04 x = 3520

0.04 x + 0.06 y = 3900 + 2600 - 3520

0.04 x + 0.06 y = 2980 ----- ( 1)

x + y = 65000 ------- ( 2 )

solve equation 1 and 2 simultaneously by elimination method

0.04 x + 0.06 y = 2980 ------ ( 3 )

0.06 x + 0.06 y = 3900 ------- ( 4 )

subtract equation 3 form equation 4

0.02 x = 920 , hence x = $46000

therefore y = $65000 - $46000 = $19000

6 0

3 years ago

An observer spots a plane flying at a 42 degree angle to his horizontal line of sight. If the plane is flying at an altitude of

Natalija [7]

check the picture below.

make sure your calculator is in Degree mode.

6 0

3 years ago