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2 years ago

FInd the length of a segment that has endpoints H(2,-3) and J(12,7)

Mathematics

1 answer:

N76 [4]2 years ago

5 0

d =sqrt ((x2-x1)^2 +(y2-y1)^2)

sqrt((12-2)^2 +(7--3)^2)

sqrt(10^2+10^2)

sqt(100+100)

sqrt(200)

sqrt(100)sqrt(2)

10sqrt(2)

Choice B

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Belinda is jumping on a trampoline. She jumps up with an initial velocity (v0) of 17 feet per second. The function d(t) = v0t-16

g100num [7]

Answer:

<em>1.0625 seconds</em>

Step-by-step explanation:

Given that:

Initial velocity of Belinda, $v_0=17\ ft/sec$

Height in feet of Belinda above the trampoline is given as the formula:

$d(t) = v_0t-16t^2$

Where $t$ is the time in seconds.

To find:

Time taken by Belinda to come back to trampoline = ?

Solution:

When Belinda will come back to trampoline, the height will be zero.

Putting $d(t) =0$

We have the equation as:

$0 = 17t-16t^2\\\Rightarrow 16t^2-17t=0\\\because t\neq0\\\Rightarrow 16t=17\\\Rightarrow t=\dfrac{17}{16}\\\Rightarrow t =1.0625\ seconds$

Therefore, the answer is: <em>1.0625 seconds</em>

4 0

2 years ago

Two-thirds of the students in Harry’s math class and three-fifths of the students in Amani’s math class are boys. Which question

nata0808 [166]

There are students in Harry's class. The fraction of girls in Harry's class is 1/3.

8 0

2 years ago

Read 2 more answers

How do I solve this ?

eduard

Look at the picture.

ΔZYX and ΔDYC are similar. Therefore the lengths of sides are in proportion:

$\dfrac{DC}{ZX}=\dfrac{DY}{ZY}$

DC = x

ZX = 16

DY = a

ZY = a + a = 2a

Substitute:

$\dfrac{x}{16}=\dfrac{a}{2a}$

$\dfrac{x}{16}=\dfrac{1}{2}$ <em>multiply both sides by 16</em>

$\boxed{x=8}$

<h3>Answer: CD = 8</h3>

6 0

3 years ago

The mayor gets elected every four years. Treasurer gets elected every six years. Both were elected this year. How many years bef

aleksandrvk [35]

<h3>There are 11 years before both the elections happen in the same year.</h3>

Step-by-step explanation:

The mayor gets selected once in every 4 years.

So, the number of years the mayor elections takes place

= 1, 4 ,8, 12, 16, 20, 24, 28,....

Now, the Treasurer gets selected once in every 6 years.

So, the number of years the Treasurer elections takes place

= 1, 6, 12, 18, 24, 30

Now,as we can see from both statements, the year in which both elections happen are the <u>common factors of 4 and 6.</u>

<u>The first common factor of 4 and 6 is 12. </u>

<u></u>

So,in twelfth year both elections happen in the same year again.

Hence, there are 11 years before the elections happen in the same year.

4 0

2 years ago

What is the value of y?

Amiraneli [1.4K]

Answer:

$\boxed{D. \: 40\degree}$

Step-by-step explanation:

<em>Angle sum property of triangle states that the sum of interior angles of a triangle is 180°</em>

So,

$= > 2y \degree + (y + 10)\degree + 50\degree = 180\degree \\ \\ = > 2y\degree + y\degree + 10\degree + 50\degree = 180\degree \\ \\ = > 3y\degree + 60\degree = 180\degree \\ \\ = > 3y\degree = 180\degree - 60\degree \\ \\ = > 3y\degree = 120\degree \\ \\ = > y = \frac{120\degree}{3\degree} \\ \\ = > y = 40\degree$

5 0

2 years ago