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3 years ago

Factor x2+12x+35 , I appreciate all the kind generous help I can receive

Mathematics

1 answer:

stellarik [79]3 years ago

8 0

So, to factor out the equation x²+12x+35, first multiply the first and last numbers.
1×35=35
So, you need to find the multiples of 35 that add up to 12.
So, you find 7 and 5. These two numbers are the magic numbers that will be used as the correct factored form of x²+12x+35, because:
>7×5=35
>7+5=12
So, using these two numbers, you get your factored form as:
(x+5)(x+7)

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asambeis [7]

Answer:

Step-by-step explanation:

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3 years ago

Y=2.5x+8 in terms of x and in terms of y

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Answer:

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Step-by-step explanation:

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2 years ago

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4 years ago

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julia-pushkina [17]

Answer:

The length of side b is 9.

Step-by-step explanation:

Triangles are similar if they have the same shape, but can be different sizes.

When two figures are similar, the ratios of the lengths of their corresponding sides are equal.

If you know that two objects are similar, you can use proportions and cross products to find the length of an unknown side. We know that the triangle $ABC$ is similar to the triangle $XYZ$ . Therefore the following relation must be true:

$\frac{AB}{AC} =\frac{XY}{XZ}$

We know that side $AB$ is equal to 8, side $AC$ is equal to b, side $XY$ is equal to $2\frac{2}{3}$ , and side $XZ$ is equal to 3.

Substituting these values into the above relation and solving for b we get that:

$\frac{8}{b} =\frac{2\frac{2}{3} }{3}\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{2}{3}=\frac{8}{3}\\\\\frac{8}{b}=\frac{\frac{8}{3}}{3}\\\\8\cdot \:3=b\frac{8}{3}\\\\24=b\frac{8}{3}\\\\8b=72\\\\b=9$