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3 years ago

Will give brainliest! and EXTRA points.

Mathematics

1 answer:

denis23 [38]3 years ago

3 0

How far did the frog jump? the answer is one of the solutions of the quadratic equation

$0= -0.017x^2+0.51x$

because that's where the frogs height is 0 (y=0) feet.

Use your favorite formula for quadratic equations. I got two solutions: 0 and 30. 0 is clearly the starting point and 30 feet is point where the frog lands.

The height is the maximum of the quadratic form. Use the formula for maximum x of a quadratic: xmax = -b/(2a) = -0.51/(2*0.017) = 15. The maximum at that point is ymax = 3.825

So, the correct answer is (a) 30 ft far and 3.83 high.

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Helppppppppopopoppppp

skelet666 [1.2K]

Answer:

DG = 30

Step-by-step explanation:

Given:

DH = 6

DE = 4

EF = 16

Required:

Solution:

DG = DH + HG

DG = 6 + HG

Let's find HG

Given that HE is parallel to the third side of ∆DGF, based on the side-splitter theorem, the other two sides of ∆DGF are divided proportionally.

Therefore,

DH/HG = DE/EF

6/HG = 4/16

Cross multiply

HG*4 = 16*6

HG = 96/4

HG = 24

✔️DG = 6 + HG

DG = 6 + 24

DG = 30

7 0

2 years ago

Sanjaya is making punch. He uses LaTeX: \frac{1}{3}1 3 c of pineapple juice for every LaTeX: \frac{3}{4}3 4 c of orange juice. H

lord [1]

Answer: $1\dfrac13$ cups of pineapple juice .

Step-by-step explanation:

Equation of direct proportion between x and y:

$\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}$

As per given,

Let x = quantity of pineapple juice and y = quantity of orange juice.

$x_1=\dfrac13\$ , $y_1=\dfrac34$ , $y_2=3$

Put these values in an equation we get

$\dfrac{\dfrac13}{\dfrac34}=\dfrac{x_2}{3}\\\\\Rightarrow\ \dfrac{4}{9}=\dfrac{x_2}{3}\\\\\Rightarrow\ x_2=3\times\dfrac{4}{9}=\dfrac{4}{3}\\\\\Rightarrow\ x_2=1\dfrac13$