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Leno4ka [110]
3 years ago
7

What is the expression in factored form x^2+13x+42

Mathematics
2 answers:
omeli [17]3 years ago
8 0
The correct answer is (x+6)(x+7). Great job.
Sveta_85 [38]3 years ago
8 0

we have

x^{2} +13x+42

Find the factors

Equate the equation to zero

x^{2} +13x+42=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^{2} +13x=-42

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2} +13x+6.5^{2}=-42+6.5^{2}

x^{2} +13x+42.25=-42+42.25

x^{2} +13x+42.25=0.25

Rewrite as perfect squares

(x+6.5)^{2}=0.25

Square root both sides

(x+6.5)=(+/-)\sqrt{0.25} \\ \\x+6.5=(+/-)0.50 \\ \\x=-6.5(+/-) 0.50

x1=-6.5+0.50=-6

x2=-6.5-0.50=-7

therefore

<u>the answer is</u>

(x+6)(x+7)

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mojhsa [17]

It's just AAAAA, no other answers. So just check A

8 0
3 years ago
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Use the following diagram and information to answer the question.
Reika [66]

Answer:

  b)  Julie can use properties of congruent triangles to show that AB≅BC and BC≅CD. Then she can show BC≅AD because opposite sides of a parallelogram are congruent

Step-by-step explanation:

On the assumption that Julie must show all four sides to be congruent, the one remaining step after using the properties of congruent triangles is to show that side AD is congruent to the rest of the sides. Answer choice B describes that.

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IMO, Julie is finished after she shows∠A≅∠B and AB≅BC, because a parallelogram will be a square if adjacent sides are congruent (makes it a rhombus) and adjacent angles are congruent (makes it a rectangle). A rhombus that is a rectangle is a square.

8 0
3 years ago
Please help me I need to solve by factoring!! ​
Sveta_85 [38]

Answer:

x=5

Step-by-step explanation:

3x^2=15x

Subtract 15x from both sides

3x^2-15x=0

Factor out 3x

3x(x-5)=0

Since 0 divided by any number is zero, we get that:

x-5=0

x=5

8 0
3 years ago
Which system of equations could be graphed to solve the equation below? log Subscript 0. 5 Baseline x = log Subscript 3 Baseline
Vanyuwa [196]

You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).

The system of equations that could be graphed to solve the equation given is

  • y = \log_{0.5}(x)\\\\
  • y = \log_3(2+x)

<h3>How can we form a system of equations from an equation?</h3>

Suppose the equation be a = b\\

Let there is a symbol c such that we have a = b = c

It is because a and b are same measure (that is exactly what a = b means)

and we gave another name c to that measure.

Thus, we have

a = c\\b = c

in addition to  a = b\\

<h3>Using the above method to find the system of equations needed</h3>

Since the given equation is log_{0.5}(x) = log_2(2+x)

The 2d graphs are usually expressed as y = f(x) on X-Y plane.

Taking the equation's expressions equal to y, we get

log_{0.5}(x) = log_2(2+x) = y

or, we get system of equations as

y = log_{0.5}(x)\\\\y = log_3{(2 + x)}

Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.

Thus,

The system of equations that could be graphed to solve the equation given is

  • y = \log_{0.5}(x)\\\\
  • y = \log_3(2+x)

Learn more about solutions to system of equations here:

brainly.com/question/14550337

4 0
2 years ago
In the same year. Of the 258 million tons of waste generated 136 million tons ended up in a landfill. What is the percentage of
Assoli18 [71]

Answer: 37 percent of waste is disposed of in some form of a landfill, 8 percent of which is disposed of in sanitary landfills with landfill gas collection systems

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don't mark brainiest

3 0
3 years ago
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