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4 years ago

What is the slope of the line that passes through the points (10,3) and (2, 3)

Mathematics

1 answer:

nydimaria [60]4 years ago

3 0

Slope=(y2-y1)/(x2-x1)= (3−3)÷(2−10)=0

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A bird sees a worm on the ground 50 m. below. The bird dives for the worm at a speed of 6 m/sec. The function h\left( t \right)

iragen [17]

Given:

The height of the bird at time t is given by the function $h(t)=-4.9t^2+6t+50$

We need to determine the time it takes the worm to be eaten by the bird.

Time taken:

The time can be determined by substituting h(t) = 0 in the function.

Thus, we have;

$0=-4.9t^2+6t+50$

Switch sides, we get;

$-4.9t^2+6t+50=0$

Let us solve the equation using the quadratic formula.

Thus, we get;

$t=\frac{-6 \pm \sqrt{6^{2}-4(-4.9) 50}}{2(-4.9)}$

Simplifying, we get;

$t=\frac{-6 \pm \sqrt{36+980}}{-9.8}$

$t=\frac{-6 \pm \sqrt{1016}}{-9.8}$

$t=\frac{-6 \pm 31.87}{-9.8}$

The values of t are given by

$t=\frac{-6 + 31.87}{-9.8}$ and $t=\frac{-6 - 31.87}{-9.8}$

$t=\frac{25.87}{-9.8}$ and $t=\frac{-37.87}{-9.8}$

$t=-2.4$ and $t=3.9$

Since, the value of t cannot be negative, then $t=3.9$

Thus, the time taken by the bird to eat the worm is $t=3.9$ seconds.

Hence, Option B is the correct answer.

5 0

3 years ago

PLEASE HELP I AM SO CONFUSED

soldi70 [24.7K]

Answer:

Option D, 1

Step-by-step explanation:

Step 1: Determine what x1, x2, y1, y2 are

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

(x1, y1) is (2, 8)

(x2, y2) is (6, 12)

Step 2: Plug into the formula to get the slope

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

Slope = $\frac{12 - 8}{6 - 2}$

Slope = $\frac{4}{4}$

Slope = 1

Answer: Option D, 1

5 0

3 years ago

Read 2 more answers

672,591 is closer to 700,000 than

GaryK [48]

That number is closer to 700,000 than 185,505 for example, because it is a bigger number. Hope that makes sense.

7 0

3 years ago

Read 2 more answers

Kami's fitness trainer recommends that she drinks 121212 fluid ounces of water 888 times a day.

SCORPION-xisa [38]

Answer:

13,454,532 cups a day

Step-by-step explanation:

121212*888=107,636,256 8 fluid ounces in a cup so divide by 8 to get 13,454,532.

3 0

3 years ago

What is the answer to this

Pavel [41]

Answer: A

explanation: the vertex in this graph is the lowest point, making it a minimum vertex. If it was the highest point, it would be maximum

6 0

4 years ago