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2 years ago

Hey! please help i’ll give brainliest

Mathematics

1 answer:

LenKa [72]2 years ago

5 0

Answer:

hope this helps

have a good day :)

Step-by-step explanation:

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(09.02 MC) Which of the following tables shows the correct steps to transform x2 + 10x + 24 = 0 into the form (x − p)2 = q? [p a

Vladimir79 [104]

Answer: step 2

Step-by-step explanation:

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3 years ago

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Which value of c will make the equation true?

sweet-ann [11.9K]

Answer:

Step-by-step explanation:

44 - 15 =29

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2 years ago

Find the solutions to x⁴-5x²-36=0 and the x-intercepts of the graph of y=x⁴-5x²-36.

disa [49]

Answer:

The solutions $x^4-5x^2-36=0$ are $x=3,\:x=-3,\:x=2i,\:x=-2i$ and the x-intercepts of $y=x^4-5x^2-36$ are $x=3,\:x=-3$

Step-by-step explanation:

Finding the solutions to $x^4-5x^2-36$ means finding the roots, a root is where the function is equal to zero.

The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.

To find the roots you need to:

Rewrite the equation with $u=x^2$ and $u^2=x^4$

$u^2-5u-36=0$

Solve by factoring

$\mathrm{Break\:the\:expression\:into\:groups}\\u^2-5u-36=\left(u^2+4u\right)+\left(-9u-36\right)$

$\mathrm{Factor\:out\:}u\mathrm{\:from\:}u^2+4u=u\left(u+4\right)$

$\mathrm{Factor\:out\:}-9\mathrm{\:from\:}-9u-36=-9\left(u+4\right)$

$u^2-5u-36=u\left(u+4\right)-9\left(u+4\right)$

$\mathrm{Factor\:out\:common\:term\:}u+4\\\left(u+4\right)\left(u-9\right)$

$u^2-5u-36=\left(u+4\right)\left(u-9\right)=0$

Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)

The solutions to the quadratic equation are:

$\:u=-4,\:u=9$

Substitute back $u=x^2$ , solve for x

$x^4-5x^2-36=(u-9)(u+4)=(x^2-9)(x^2+4)$

Apply the difference of squares formula

$x^4-5x^2-36=(x^2-9)(x^2+4)=(x-3)(x+3)(x^2+4)$

$(x-3)(x+3)(x^2+4)=0$

Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)

The solutions are:

$\:x=3,\:x=-3,\:x=2i,\:x=-2i$

Because two of the solutions are complex roots the only x-intercepts are $x=3,\:x=-3$

3 0

3 years ago

The width of a rectangle is one more than twice its length. If the rectangle's perimeter is 44 cm, then its length is ____ cm. T

Alenkasestr [34]

The length of rectangle is 7 cm.

Step-by-step explanation:

Given,

Perimeter of rectangle = 44 cm

Length = l

Width = 2l + 1

Perimeter = 2(Length + Width)

$44=2(l+2l+1)\\44=2(3l+1)\\44=6l+2\\44-2=6l\\42=6l\\6l=42$

Dividing both sides by 6

$\frac{6l}{6}=\frac{42}{6}\\l=7$

The length of rectangle is 7 cm.

Keywords: rectangle, perimeter

Learn more about rectangles at:

#LearnwithBrainly

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2 years ago

please help ill give brainliest if u just want the points comment and ill submit another question for a lot of points just don't

Lesechka [4]

Answer:Jayna charges a lower hourly rate than Hannah

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3 years ago