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3 years ago

Complete the equation of the line through (1, 4) and (2, 2).

Mathematics

2 answers:

Artemon [7]3 years ago

8 0

Answer:

1,4 2,2 = to 2,8 4,4

Step-by-step explanation:

Zanzabum3 years ago

6 0

What the person above said math is stupid isn’t it

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A zip line runs from the top of a platform on the edge of a pond to the ground across the pond. A camp counselor places a mirror

tigry1 [53]

Answer:

150 ft

Step-by-step explanation:

The diagram shown gives us a picture of two similar right triangle.

The height of the man is similar to the height of the platform.

To find the height of the platform, multiply the height of the man by the scale factor.

Scale factor = the ratio of any corresponding sides of two similar triangles.

Scale factor = 100 ft ÷ 4 ft = 25

Height of man = 6ft

Therefore, height of platform = 6 ft × 25 = 150 ft

3 0

3 years ago

Verify the identity: (1-sinx)/cosx = cosx/(1+sinx)

Tresset [83]

Cross multiply the expression so that we can get

(1+sinx)(1-sinx) = cos^2 x

1 - sin^2 x = cos^2 x

cos^2 x + sin^2 x = 1

since

cos^2 x + sin^2 x = 1

therefore

1 = 1

the two expressions are identical in a trigonometric sense

4 0

3 years ago

An astronaut on the moon throws a baseball upward. The astronaut is 6 ft 6 in tall, and the initial velocity of the ball is 40 f

weqwewe [10]

Answer:

t = 0.293 s and 14.52 s

Step-by-step explanation:

The heights of the ball in feet is given by the equation as follows :

$S = -2.7t^2+40t+6.5$

Where t is the number of seconds after the ball was thrown.

We need to find is the ball 18 ft above the moon's surface.

Put S = 18 ft

$-2.7t^2+40t+6.5=18\\\\-2.7t^2+40t=18-6.5\\\\-2.7t^2+40t-11.5=0$

It is a quadratic equation. Its solution is given by :

$t=\dfrac{-40+\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)},\dfrac{-40-\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)}\\\\t=0.293\ s,14.52\ s$

So, the ball is at first 0.293 s and then 14.52 s above the Moon's surface.

8 0

3 years ago

What two positive real numbers whose product is 7272 have the smallest possible sum?

nadezda [96]

$\sqrt{7272}$ and $\sqrt{7272}$ , or as a rounded decimal 85.28 and 85.28.

To find the smallest possible sum of roots for any product, the answer is always whatever numbers are closest together. This fact can be derived by the fact that the greatest area we can enclose with a given length is a perfect square. So we can take the square root of 7272 and use that, since they will be exactly the same number.

If you are looking for whole numbers, you would have to go up or down until you find a factor of 7272 closest to the square root. In this case that would be 72 and 101.

3 0

3 years ago

There are 36 ribbons of which 1/5 are yellow, 7/15 are pink and the remaining ribbons are

Kay [80]

Step-by-step explanation:

Let there be x blue ribbons

$\therefore \: \frac{1}{5} + \frac{7}{15} + x = 36 \\ \therefore \: \frac{1 \times 3}{5 \times 3} + \frac{7}{15} + x = 36 \\ \therefore \: \frac{3}{15} + \frac{7}{15} + x = 36 \\ \therefore \: \frac{3 + 7}{15} + x = 36 \\ \therefore \: \frac{10}{15} + x = 36 \\ \therefore \: x = 36 - \frac{10}{15} \\ \therefore \: x = \frac{36 \times 15 - 10}{15} \\ \therefore \: x = \frac{540 - 10}{15} \\ \therefore \: x = \frac{530}{15} \\ \therefore \: x = 35\frac{5}{15} \\ \\ \therefore \: x = 35\frac{1}{3} \: are \: blue. \\$

5 0

4 years ago