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ycow [4]
3 years ago
14

How to simplify -1.71.

Mathematics
1 answer:
Neporo4naja [7]3 years ago
3 0
171/100 (simplified)
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Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,
Tresset [83]

Answer:

\boxed{y=2x^2+4x-7}

Step-by-step explanation:

Let the quadratic function be

y=ax^2+bx+c


We substitute (-4,9) into the equation to obtain;


9=a(-4)^2+b(-4)+c


\Rightarrow 9=16a-4b+c---(1)


We substitute (0,-7) to obtain;


-7=a(0)^2+b(0)^2+c


\Rightarrow c=-7---(2)


We finally substitute (1,-1) to obtain;


-1=a(1)^2+b(1)^2+c


\Rightarrow -1=a+b+c---(3)


We put equation (2) into equation (1) to get;


9=16a-4b-7


16a-4b=16


\Rightarrow 4a-b=4---(4)


\Rightarrow -1=a+b-7


\Rightarrow a+b=6---(5)


We add equation (4) and (5) to get;

4a+a=6+4



\Rightarrow 5a=10



\Rightarrow a=2


We put a=2 into equation (5) to get;


2+b=6


\Rightarrow b=6-2


\Rightarrow b=4


The reqiured quadratic function is

y=2x^2+4x-7

7 0
3 years ago
A right triangle is displayed.
Mazyrski [523]

Answer:

You have to use the Pythagorean Theorem to find the other side, which will be your base in the Area formula (A=1/2bh). So the Pythagorean theorem would be 36^2 + b^2 = 60^2. This gives you 48 in for your base/missing side length. Then, you plug it into the area formula. So, A=1/2(48) (36). This gives you 864 in^2 for the area of your triangle.

5 0
3 years ago
What is the answer?????​
Vlad [161]

Answer:

< 1 = 88

< 2 = 92

Step-by-step explanation:

First add 4x - 4 + 4x = 180

X = 23

4(23) - 4 = 88

4(23) = 92

3 0
3 years ago
Please help I need it
alexira [117]

Answer:

350mlliliters = 0.35liters

9liters = 9000milliliters

4 0
2 years ago
Circle d has a radius of 21 millimeters and central angle, ∠edf, which measures 60°. find the exact length of . mm 7mm 14mm 42mm
maria [59]
The length of an arc length can be calculated using the formula:
s = ra
where s is the lenght of the arc
and r is the radius of the circle
a is the central angle in radians

first converts degrees to radians
a = 60 ( pi / 180)
a = pi /3 =1.05

s = 21(1.05)
s = 22 mm is the length of the arc
8 0
3 years ago
Read 2 more answers
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