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Savatey [412]
2 years ago
15

Can someone explain this pls

Mathematics
1 answer:
Ludmilka [50]2 years ago
4 0

Answer:

Step-by-step explanation:

( g ° f )(x) = ( x + 7 )² = x² + 14x + 49

20 + 3(x² + 14x + 49) = - 34

20 + 3x² + 42x + 147 = - 34

3x² + 42x + 201 = 0 ⇔ x² + 14x + 67 = 0

D = 196 - 268 = - 72 < 0

There is no any roots in set of real numbers.

The values of x in set of complex numbers are:

x_{12} = \frac{- 14 }{2} ± \frac{6\sqrt{2}i }{2}

x_{12}  = - 7 ± 3√2 i  

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Write 24 as a product of its prime factors.
Alex777 [14]
<span>prime factors are prime numbers that can be multiplied to give the number.
to find the prime factors the number is divided by the prime numbers by which the number is divisible.
                                                                               
24 / 3 = 8                                                                            
8 / 2 = 4                                                                                
4 / 2 = 2                                                                             
2 / 2 = 1                                                                                 
24 is divisible by 3 , 2 , 2 and 2.
therefore 24 written as a product of its prime factors is 24 = 2 x 2 x 2 x 3</span>
8 0
3 years ago
Read 2 more answers
LK is tangent to circle J at point K. Circle J is shown. Line segment J K is a radius. Line segment K L is a tangent that inters
Evgen [1.6K]

Answer:

(B)r=\dfrac{85}{12}

Step-by-step explanation:

Given a circle centre J

Let the radius of the circle =r

LK is tangent to circle J at point K

From the diagram attached

  • LX=6
  • Radius, XJ=JK=r
  • LK=11

Theorem: The angle between a tangent and a radius is 90 degrees.

By the theorem above, Triangle JLK forms a right triangle with LJ as the hypotenuse.

Using Pythagoras Theorem:

(6+r)^2=r^2+11^2\\(6+r)(6+r)=r^2+121\\36+6r+6r+r^2=r^2+121\\12r=121-36\\12r=85\\r=\dfrac{85}{12}

The length of the radius, r=\dfrac{85}{12}

8 0
3 years ago
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What is the answer to all of these?
4vir4ik [10]
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3 0
3 years ago
Jenna found three solution to a linear equation she graphed them, but they don't lie in a straight line. What errors could jenna
steposvetlana [31]

Answer:

A system of linear equation could only have 1 solution. This is because the straight lines will only have to meet, cross, or intersect each other once.

A system of linear equation could only have 1 solution. This is because the straight lines will only have to meet, cross, or intersect each other once.

There are many different methods in arriving to the final answer. However, errors cannot be perfectly avoided. One of these errors to mistakenly identify equations as linear. It is important that we know that the equations we are dealing with are of exact or correct  characteristics.

Also, if she had used substitution method, she might have mistakenly taken the value of one variable for the other.

5 0
3 years ago
What’s the right answer?
Nataly [62]
I will give you the formula and teach you how to solve this. Let’s start with finding the area of both the right triangles.
The formula is, base x height / 2 = area
Triangle 1 - 2x8/2 = 16/2 = 8
Triangle 2 - 2x8/2 = 16/2 = 8
Rectangle - 8x3 = 24
Add them up: 24 + 8 + 8 = 40 square feet
I hope this wasn’t to confusing
5 0
2 years ago
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