MATHEMATICS HIGH SCHOOL

Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone. Let D represent the distance (in meters) from the safe zone after t seconds. Complete the equation for the relationship between the distance and number of seconds.

Answers

Answer 1

Answer:

$d=160-25t$

Step-by-step explanation:

Let $d$ be the distance between Kayden and safe zone at any time.

It is given that initially $d=160$

Lrt her speed be $v$

Since the speed is constant,the distance covered by her in $t$ seconds= $v* t$

So,the distance between her and safe zone after $t$ seconds is $160-vt$

It is given that after $3$ seconds, $d=85$

So, $160-3v=85$

$3v=75$

$v=25$

So, $d=160-3t$

Answer 2

Answer:

Answer:

y=-25x+160

Step-by-step explanation:

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Mary bought 25/50/50 policy with a $100 deductible on collision and $500 deductible on comprehensive coverage. If the base premiums are $220, $245, $215, and $85, respectively, how much is his total base premium if her rating factor is 1.20?

Answers

Answer: 918

Step-by-step explanation:

add 220+245+215+85 together and you get $765 and you multiply this with the 1.20 to get your solution/answer Plz rate and <3

Answer: Option D: $918

Step-by-step explanation: Took The test! This is the correct answer

Find the equation of the perpendicular bisector of a line segment whose end points are (-3,9) and (-1,5)

Answers

First find the equation of y.

$y=mx+n=(\Delta y)/(\Delta x)x+n$

Find the slope m.

$m=(5-9)/(-1-3)=(-4)/(-4)=1$ .

Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.

$9=1(-3)+n\implies n=12$ .

The equation of a line y is:

$y=x+12$ .

The perpendicular line $y_(\perp)$ is same like the normal line except its slope m becomes:

$k=-(1)/(m)=-1$ .

The equation of a perpendicular bisector is thus:

$y_(\perp)=-x+12$ .

Hope this helps.

Answer:

$y = (1)/(2) x + 3$

Step-by-step explanation:

Using the given points, first find the slope:

m = (₂ - y₁) / (x₂ - x₁)

= (5 - 9) / (-1 - (-3))

= -4 / 2

= -2

Find y-intercept by using anyone of the give points and slope from above:

y = mx + b

5 = -2(-1) + b

5 = 2 + b

b = 3

With the m and b, you can make equation of line:

y = mx + b

y = -2x + 3

To find the perpendicular slope, make it opposite and inverse it.

m = -2 becomes 1/2

Regular equation of line:

y = -2x + 3

Perpendicular equation of line:

$y = (1)/(2) x + 3$

Help! Thanks!!!!!!!!!!!

Answers

The standard form is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p. If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y - k)2 = 4p (x - h), where the focus is (h + p, k) and the directrix is x = h - p.

Emily ran her first lap in 75 seconds she ran her second lap in 69 seconds using percentages how much better was her second lap when comapared to her first lap

Answers

Answer:

Her second lap was 8% better when compared to her first lap.

Step-by-step explanation:

Given:

Emily ran her first lap in 75 seconds she ran her second lap in 69 seconds.

Now, to find how much better was her second lap when compared to her first lap.

Emily ran her first lap in 75 seconds.

Emily ran her second lap in 69 seconds.

So, we get the difference in seconds:

$75-69=6\ seconds.$

Thus, in her second lap she was 6 seconds better than first.

Now, to get the percentage of her first lap better than second:

$(6)/(75)* 100$

$=0.08* 100$

$=8\%.$

Therefore, her second lap was 8% better when compared to her first lap.

The walls of a square storage room in a warehouse are 300 feet long. What is the distance from one corner to the other corner of the storage room? Round your answer to the nearest foot.