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Lorico [155]
3 years ago
12

If using the method of completing the square to solve the quadratic equation

Mathematics
1 answer:
zheka24 [161]3 years ago
8 0

Answer: 25

Step-by-step explanation: The number that is added to both sides is the number that is needed to create a perfect square trinomial.

The question is, what is that number?

Well, it comes from a formula. The number that is added to both sides always comes from half the coefficient of the middle term squared.

So half of -10 squared or -5 squared which is 25.

So 25 is added to both sides.

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Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P: y = 9x^2 + 5 ; P (2,41)
Flauer [41]

Answer:

(a) 36

(b) y = 36x-31

Step-by-step explanation:

(a) dy/dx = 18x

slope of tangent at (2, 41) = 18(2)

= 36

(b) using y-y1 = m(x-x1)

y-41 = 36(x-2)

y = 36x-31

6 0
3 years ago
Write the expression as the sine, cosine, or tangent of an angle. sin 5x cos x - cos 5x sin x
mrs_skeptik [129]

Answer:

sin 5x cos x - cos 5x sin x = sin(4x)

Step-by-step explanation:

Given that the trigonometric expression,

sin 5x cos x - cos 5x sin x

Here we use the "sum and difference formulas"

Sum and Difference Formulas

sin(A+B)=sin A cos B + cos A sin B

sin(A-B)=sin A cos B - cos A sin B

cos(A+B)=cos A cos B - sin A sin B

cos(A-B)=cos A cos B + sin A sin B

So,

sin 5x cos x - cos 5x sin x = sin (5x - x)

sin 5x cos x - cos 5x sin x =  sin(4x)

That's the final answer.

6 0
3 years ago
Katarina made a frequency distribution, setting up groups for the data shown.
Tresset [83]
147 63 82 101 155 160 175 92 116 138 74 93 110 162 154 105 97

The frequency to her third group is 80 - 99.
5 0
4 years ago
How can I get 104 using 2,3,5,8
IrinaK [193]
8 x (5 x 2 + 3)= 8 x ( 15 + 3) = 8 x 13 = 104. 
Hope I helped!(:
5 0
3 years ago
Read 2 more answers
What is the greatest common factor (GCF) of 80 and 100?
marshall27 [118]

Answer:

20.

Step-by-step explanation:

We found the factors and prime factorization of 80 and 100. The biggest common factor number is the GCF number. So the greatest common factor 80 and 100 is 20

4 0
3 years ago
Read 2 more answers
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