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Molodets [167]
4 years ago
12

Can someone show me step by step how to do this?

Mathematics
1 answer:
GenaCL600 [577]4 years ago
7 0

\bf \cfrac{2}{3}(x-4)(x+5)=1\implies \cfrac{2(x-4)(x+5)}{3}=1\implies \stackrel{\textit{cross-multiplying}}{2(x-4)(x+5)=3} \\\\\\ 2(\stackrel{\mathbb{FOIL}}{x^2+x-20})=3\implies \stackrel{\textit{distributing}}{2x^2+2x-40}=3\implies \underset{\textit{standard form}}{\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{-43}=0}


notice, that'd be the standard form for a quadratic equation, all variables on the left-hand-side, sorted in ascending order.

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For the inverse variation equation p=8/v, what is the value of V when p = 4
Travka [436]
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V
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4 0
3 years ago
Read 2 more answers
The equation for a parabola has the form y = ax2 + bx + c, where a, b, and c are constants and a ≠ 0. find an equation for the p
sattari [20]
To solve the problem, substitute the given points for x in the given equation to get

-10=(-1)^2a+(-1)b+c\Rightarrow-10=a-b+c \\ -6=(1)^2a+(1)b+c\Rightarrow-6=a+b+c \\ -13=(2)^2a+(2)b+c\Rightarrow-13=4a+2b+c

Solving the three equations simultaneously, we have:

a = -3, b = 2 and c = -5

Therefore, the required equation is

y=-3x^2+2x-5
7 0
3 years ago
50 POINTS, ANSWER ASAP!!
Zanzabum

Answer:36hrs


Step-by-step explanation:

300*36/5 that you have the time of eating in mins

divide it by 60 then you have hours

7 0
3 years ago
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Find sin(β) in the triangle.
Pachacha [2.7K]

Answer:

4/5

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • A right angled triangle with sides as 3 , 4 and 5 cm .

We need to find the value of sin(β) in the given triangle . We know that the ratio of sine is ,

:\implies sin(β) = p/h

  • Where p is perpendicular and h is hypontenuse.

:\implies sin(β) = 4/5

<h3>Hence the required answer is 4/5.</h3>
5 0
3 years ago
Kaj is flying a kite, holding her hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. She
Savatey [412]

Using trigonometric ratio, the height of the ground above the ground to the nearest hundredth is 44.85 ft

The situation forms a right angle triangle.

<h3>What is a right angle triangle?</h3>

Right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore, the length of the string is the hypotenuse side of the triangle formed . The opposite side of the triangle is the height of the kite form the ground.

Therefore, the height of the kite form the ground can be found as follows;

sin 33° = opposite / hypotenuse

sin 33° = h / 75

cross multiply

h = 75 × sin 33

h = 40.8479276261

h = 40.84

The height of kite from ground = 40.847 + 3.5  = 44.3479276261 = 44.85 ft

learn  more on right triangles here: brainly.com/question/25799394

4 0
3 years ago
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