4a² - 25? little help? Can you show me the steps to gets the answer? Thanks!

Answers

Answer 1

Answer: 4a² - 25

= (2a)² - 5²

= (2a+5)(2a-5) since a² -b² = (a+b)(a-b)

Answer 2

Answer: This is simply a difference of squares. To factor this, you simply take the square roots of the leading coefficient and the C term. Thus you get 2 and 5. As a pair of factors, it is simply (2a+5)(2a-5). If you actually need to solve this, you can set either the factors or the original equation equal to 0.

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Given B is between A and C, find the value of x if AB = 22, BC = 16x, and AC = 182.

Answers

Answer:

Step-by-step explanation:

Since we know that B is between A and C, it doesn't matter where B is, but, we are sure that AB plus BC equals AC. In an equation:

$AB+BC=AC$

We know that AB is 22, BC is 16x, and AC is 182. Substitute:

$22+16x=182$

Now, find the value of x. Subtract 22 from both sides:

$16x=160$

Divide both sides by 16:

$x=10$

So, the value of x is 10.

And we're done!

Answer:

$x=10$

Step-by-step explanation:

Start with:

$AB+BC=AC$

Substitute in your values.

$22+16x=182$

Subtract $22$ from both sides of the equation.

$16x=182-22$

Combine like terms.

$16x=160$

Divide by the coefficient of $x$ , which in this case is $16$ .

$x=10$

What is this?!?!? Need an answer in 24hrs please.

Answers

Answer:

Step-by-step explanation:

To be a function, the line has to pass the vertical line test. This means that when a vertical line is passed through every x value, it will only cross the graphed line once.

To help: draw vertical lines through each graph.

In graph W: the line would pass through the top and bottom of the circle - not a function

In graph X: the line passes once through every area - a function

In graph Y: the line passes through the top curve as well as the bottom curve - not a function

In graph Z: the line passes through the curves multiple times - not a function

The width of a rectangle is 61 centimeters more than the length. The perimeter is 406 centimeters. Find the length and the width.

Answers

$Step \; 1: \; Assign \; Variables \; for \; the \; unknown \; that \; we \; need \; to \; find$

$Let \; x \; be \; length \; of \; the \; rectangle$

$Step \; 2: \; Set \; up \; equation \; based \; on \; information \;\n given \; about \; the \; rectangle$

$Statement \; 1: Width \; of \; a \; rectangle \; \nis \; 61cm \; more \; than \; the \; length\n\nWidth \; = \; 61+x\n\nStatement \; 2: \; The \; perimeter \; is \; 406cm\n\nPerimeter=2(Length+Width)\nPerimeter =2(x+61+x)\n\nSo \; the \; mathematical \; equation \; would \; be \n 2(x+61+x)=406$

$Step \; 3: \; Solve \; the \; equation \; by \n undoing \; whatever \; is \; done \; x.\n\n2(x+61+x)=406\nGroup \; and \; Combine \; like \; terms \; inside \; the \; parenthesis\n\n2(2x+61)=406\nDistribute \; 2 \; in \; the \; left \; side \; of \; the \; equation\n\n4x+122=406\nSubtract \; 122 \; on \; both \; sides\n\n4x+122-122=406-122\nSimplify \; on \; both \; sides\n\n4x=284\nDivide \; on \; both \; sides\n\n(4x)/(4)=(284)/(4)\nSimplify \; fractions \; on \; both \; sides\n\nx=71$

$Conclusion:\nLength=x=71cm\nSubstituting \; 71 \; for \; x \; and \; find \; Width \; value.\nWidth=61+x=71+61=132cm\n\nLength \; is \; 71 cm \; and \; Width \; is 132cm$

Final answer:

The length of the rectangle is 71 centimeters and the width is 132 centimeters.

Explanation:

To find the length and width of the rectangle, we can set up a system of equations. Let's denote the length of the rectangle as L and the width as W. We know that W = L + 61. The formula for the perimeter of a rectangle is P = 2L + 2W. Plugging in the given values, we have 406 = 2L + 2(L + 61). Simplifying this equation, we get 406 = 4L + 122. Subtracting 122 from both sides, we obtain 284 = 4L. Dividing both sides by 4, we get L = 71. Finally, substituting the value of L into the equation W = L + 61, we find W = 71 + 61 = 132. Therefore, the length of the rectangle measures 71 centimeters and the width measures 132 centimeters.

Learn more about Rectangle dimensions here:

brainly.com/question/31677552

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Which statements describe the graph of y = 4x2 + 28x + 49? Check all that apply. The graph has two x-intercepts because 4x2 + 28x + 49 has two different factors. The equation 2x + 7 = 0 can be used to find a zero of the function. The equation (2x – 7)2 = 0 can be used to find the y-intercept. The graph has a double root at x = StartFraction negative 7 Over 2 EndFraction. The graph intersects the y-axis at y = 49.

Answers

Answer:

b,d, and ,e

Step-by-step explanation:

on edge ;)

Answer:

The equation 2x+7=0 can be used to find a zero of the function. The graph intersects the y-axis at 49

Step-by-step explanation:

The other statements are not correct because since (2x+7)^2 gives the polynomial function y=4x^2 +28x + 49, there are "two" answers, but it is the sa,e answer of -7/2. The graph also does not have a double root at -7/2, that is the x-intercept

Latoya drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Latoya drove home, there was no traffic and the trip only took 4 hours. If her average rate was 22 miles per hour faster on the trip home, how far away does Latoya live from the mountains

Answers

sorry hun but i believe you got this!!!! But multiply boo trust me

65.2 hours

The base of the parallelogram, b, can be found by dividing the area by the height.If the area of the parallelogram is represented by 6x2 + x + 3 and the height is 3x, which represents b, the length of the base?

Answers

The area of a parallelogram is:
A = b * h
Where,
b: base
h: height
Clearing the base we have:
b = A / h
Substituting values we have:
b = (6x2 + x + 3) / 3x
Rewriting we have:
b = 2x + 1 / x + 1/3
Answer:
the length of the base is:
b = 2x + 1 / x + 1/3

Answer:

b = $2x+(1)/(3)+(1)/(x)$