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3 years ago

Find the slope of the line that passes through (10,7) and (1,9)

Mathematics

1 answer:

Simora [160]3 years ago

6 0

Answer:

Step-by-step explanation:

Use the slope formula

(x2-x1)/(y2/y1)

substitute the values

(1-10)/(9-7)

solve

-9/-2

simplify

9/2 or 4.5

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one of the fastest cars in the world was recently measured covering 5726 meters in 50 seconds what is the unit rate of speed of

IRISSAK [1]

ANSWER

114.52 meters per second

EXPLANATION

We have that the car covers a distance of 5726 meters in 50 seconds.

To find the speed, we have to use the formula for speed which is:

$\text{Speed = }\frac{dis\tan ce}{time}$

So, the unit rate of speed of the car is:

$\begin{gathered} \text{Speed = }\frac{5726}{50} \\ \text{Speed = 114.52 meters per second} \end{gathered}$

That is the unit rate of speed of the car in meters per second.

5 0

1 year ago

If m arc HAM = 265°, find the measure of the corresponding minor arc. circle Z with radius ZH, diameter MT, and point A opposite

jolli1 [7]

If the major arc HAM is 265°, then the minor arc MH is: 360° - 265° = 95°

<em>Major arc plus minor arc equals the full circle of 360°</em>

Answer: 95°

8 0

4 years ago

Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin

SpyIntel [72]

The standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin and directrix is y² = 16x.

<h3>What is the parabola?</h3>

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.

Given that the parabola's vertex is located at the origin and that the directrix is at x = -4, the focus is at (4,0).

Then the equation can be written as

$\rm \sqrt{(x-4)^2 +(y-0)^2} = \sqrt{(x+4)^2 + (y-y)^2}\\\\\sqrt{(x-4)^2 +(y-0)^2} = \sqrt{(x+4)^2}$

On squaring both sides, we have

$\begin{aligned} (x-4)^2 +(y-0)^2 &= (x+4)^2 \\\\x^2 + 16 - 8x +y^2 &= x^2 + 16 + 8x\\\\y^2 &= 16x \end{aligned}$

More about the parabola link is given below.

brainly.com/question/8495504

#SPJ4

6 0

2 years ago

A recreational center has 15 basketballs and 12 soccer balls.

nignag [31]

15:12 = 1:4
Because 15:12 is This fraction is a IMPROPER FRACTION once the absolute value of the top number or numerator (15) is greater than the absolute value of the bottom number or denomintor (12). So, the equivalent fraction is a MIXED NUMBER which is made up of a whole number (1) and proper fraction (1/4).<span>
</span>

6 0

4 years ago

The tower at Philadelphia City Hall contains four clocks that have a radius of about 3.96 meters. Find how far the minute hand t

Kaylis [27]

Answer:

99.57 meters.

Step-by-step explanation:

Given:

The tower at Philadelphia City Hall contains four clocks that have a radius of about 3.96 meters

Question asked:

Find how far the minute hand travels after each number of rotations around the clock face.

Solution:

Radius, r = 3.96 meters

As we have to find distance traveled by minute hand, we will find circumference of circular clock:-

$Circumference\ of\ circle=2\pi r$

$=2\times\frac{22}{7} \times3.96\\\\ =\frac{174.24}{7} \\\\ =24.8914\ meters$

Hence, we found that at one rotation (distance traveled) of minute hand of each clock is 24.89 meters.

Now, we will find distance traveled by 4 minute hand of 4 clocks = $24.8914\times4=99.5656\ meters$

Therefore, minute hand travels 99.57 meters distance after each number of rotations around the clock face.

7 0

3 years ago