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3 years ago

9

What is the distance between -2 and 5

1 answer:

Vlad [161]3 years ago

4 0

Answer:

7

Step-by-step explanation:

To find distance on a number line you add and 2+5=7

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Using the digits 1 to 9, at most one time each, fill in the boxes so that the points make a parallelogram. Mathematically, use p

Lera25 [3.4K]

Answer:

$\left\begin{array}{ccc}A\left( \boxed{3} , \boxed{8} \right)&B\left( \boxed{9} , \boxed{6} \right )\\\\C\left( \boxed{1} , \boxed{4} \right)&D\left( \boxed{7} , \boxed{2} \right )\end{array}\right$

Step-by-step explanation:

The coordinates are:

$\left\begin{array}{ccc}A\left( \boxed{3} , \boxed{8} \right)&B\left( \boxed{9} , \boxed{6} \right )\\\\C\left( \boxed{1} , \boxed{4} \right)&D\left( \boxed{7} , \boxed{2} \right )\end{array}\right$

The parallelogram is attached below.

To verify if these coordinates form a parallelogram, we show that:

AB=CD; and
AC=BD

Using Distance Formula

$AB = \sqrt{(6-8)^2+(9-3)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units$

$CD = \sqrt{(2-4)^2+(7-1)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units$

$AC = \sqrt{(8-4)^2+(3-1)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units$

$BD = \sqrt{(6-2)^2+(9-7)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units$

Since AB=CD; and AC=BD, the coordinates A, B, C, and D form the vertex of a parallelogram.

3 0

4 years ago

Mike can build a go cart in 30 days, Jed can build one in 20 days and Erick in 60 days. If all of them share the work, how quick

Gwar [14]

Answer: 10 days

<u>Step-by-step explanation:</u>

Mike: $\frac{x}{30}$

Jed: $\frac{x}{20}$

Erick: $\frac{x}{60}$

Together: $\frac{x}{30}$ + $\frac{x}{20}$ + $\frac{x}{60}$ = 1

60 $(\frac{x}{30}$ + $\frac{x}{20}$ + $\frac{x}{60}$ = 1)

2x + 3x + x = 60

6x = 60

x = 10

4 0

3 years ago

Read 2 more answers

I need help SHOW YOUR WORK

earnstyle [38]

Answer:

$F)\displaystyle \: 100\pi{ x}^{8} {y}^{2} {z}^{ 6}$

Step-by-step explanation:

we are given r and the formula

we want to find the surface area of the shpare with the given r

to do so

we need our algebra skills

substitute the value of r:

$\displaystyle \: S = 4\pi( {5x}^{4} y {z}^{ 3} {)}^{2}$

recall law of exponent

$\displaystyle \: ({x}^{m} {)}^{n} \iff \: {x}^{mn}$

to simplify:

$\displaystyle \: S = 4\pi({ {5}^{2} x}^{4 \times 2} {y}^{1 \times 2} {z}^{ 3 \times 2} )$

simplify multiplication:

$\displaystyle \: S = 4\pi({ 25x}^{8} {y}^{2} {z}^{ 6} )$

distribute:

$\displaystyle \: S = 100\pi{ x}^{8} {y}^{2} {z}^{ 6}$

hence our answer is F

5 0

3 years ago

I need help it has to be correct

Bess [88]

Answer:

cosine = adjacent / hypotenuse

cosine 62º = JL / 17

JL = cosine 62º * 17

JL = .47 * 17

JL = 7.99

JL = 8.0

Step-by-step explanation:

5 0

3 years ago

How do you write negative 4 tenths as a fraction?

jasenka [17]

Answer:

-4/10

Step-by-step explanation:

6 0

3 years ago