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3 years ago

Isabella can jump 4 feet 4 inches, Ryan can jump 1 yard 1 foot, and David can jump 51 inches. Who can jump the farthest?

Mathematics

2 answers:

torisob [31]3 years ago

6 0

Answer:

isabella

Step-by-step explanation:

padilas [110]3 years ago

4 0

Isabella is the correct answer

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Does anyone know the answer?

motikmotik

Answer:

We conclude that the area of the right triangle is:

$A\:=p^2-2p-3$

Hence, option A is correct.

Step-by-step explanation:

From the given right-angled triangle,

Base = p+1

Perpendicular = 2p-6

Using the formula to determine the area of the right-angled triangle

Area of the right triangle A = 1/2 × Base × Perpendicular

$=\frac{1}{2}\left(p+1\right)\left(2p-6\right)$

Factor 2p-6: 2(p-3)

$=\frac{\left(p+1\right)\times \:2\left(p-3\right)}{2}$

Divide the number: 2/2 = 1

$=\left(p+1\right)\left(p-3\right)$

$\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd$

$=pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)$

$=pp-3p+1\cdot \:p-1\cdot \:3$

$=p^2-2p-3$

Therefore, we conclude that the area of the right triangle is:

$A\:=p^2-2p-3$

Hence, option A is correct.

3 0

3 years ago

Harper is knitting a scarf for her cousin's birthday. She plans to knit every night, making the scarf 5 centimeters longer each

MissTica

The equation that shows the relationship between x and y is:

y = 5x

A linear equation is in the form:

y = mx + b

where m is the rate of change and b is the initial value of y, y, x are variables.

Let x represent the number of nights knitting and y represent the length of the scarf.

The equation that shows the relationship between x and y is:

y = 5x

Find out more at: brainly.com/question/13911928

8 0

3 years ago

Which expression is equal to 2−√ 32 ?<br> 8i√2<br><br> −8√2<br><br> 8√2i<br><br> −8i√2

sdas [7]

$2 \sqrt{-32}=2 \sqrt{-1*16*2} =2 \sqrt{-1} * \sqrt{16} * \sqrt{2} =2i*4* \sqrt{2} =8i \sqrt{2}$

I hope that helps!

7 0

4 years ago

Read 2 more answers

What is the surface area of the box if it is scaled up by a factor of 10? Boxes Dimensions 7in Height 6in Length 2in Width

VladimirAG [237]

Answer:

13,600 $in^{2}$

Step-by-step explanation:

(h = 7, l = 6, w = 2) 10

70, 60, 20

2(h × w) + 2(h × l) + 2(w × l)

= 2(70 × 20) + 2(70 × 60) + 2(20 × 60)

= 2(1400) + 2(4200) + 2(1200)

= 2800 + 8400 + 2400

= 13,600

4 0

4 years ago

The point (2, 1) is a solution to which of the following systems of equations?

Snezhnost [94]

$\huge\boxed{\left \{ {{x+y=3} \atop {3x-y=5}} \right.}$

We can solve this problem by testing the solution against each system of equations. We'll do this by substituting the point into each equation for each system.

<h2>System 1 - $\Large\textbf{X}$ </h2>

$\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}2x+y&=5\\2(2)+1&=5\\4+1&=5\\5&=5\\&\checkmark\end{aligned}&\begin{aligned}-2x+y&=2\\-2(2)+1&=2\\-4+1&=2\\-3&=2\\&\text{X}\end{aligned}\end{array}$

<h2>System 2 - $\Large\textbf{X}$ </h2>

$\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}-2x-y&=-5\\-2(2)-1&=-5\\-4-1&=-5\\-5&=-5\\&\checkmark\end{aligned}&\begin{aligned}2x-y&=2\\2(2)-1&=2\\4-1&=2\\3&=2\\&\text{X}\end{aligned}\end{array}$

<h2>System 3 - $\Large\textbf{X}$ </h2>

$\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}-x+y&=3\\-2+1&=3\\-1&=3\\&\text{X}\end{aligned}&\begin{aligned}-3x+y&=-5\\-3(2)+1&=-5\\-6+1&=-5\\-5&=-5\\&\checkmark\end{aligned}\end{array}$

<h2>System 4 - $\Large\checkmark$ </h2>

$\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}x+y&=3\\2+1&=3\\3&=3\\&\checkmark\end{aligned}&\begin{aligned}3x-y&=5\\3(2)-1&=5\\6-1&=5\\5&=5\\&\checkmark\end{aligned}\end{array}$

Since both equations in the final system are true when solved with $(2, 1)$ , the answer is the last system.

3 0

3 years ago