MATHEMATICS MIDDLE SCHOOL

Find the unknown side length, x. Write your answer in simplest radical form. A. 4 B. Square root of 65 C. 11 D. 5 square root 13

Answers

Answer 1

Answer:

Answer:

$x=√(65)$

B is the correct option.

Step-by-step explanation:

We'll use Pythagorean theorem to find the value of x.

In right angle ABC, applying Pythagorean theorem, we get

$BC=√(5^2-3^2)\n\nBC=√(16)\n\nBC=4$

Now, in right angle triangle CBD,

$x=√(7^2+4^2)\n\nx=√(49+16)\n\nx=√(65)$

B is the correct option.

Answer 2

Answer:

Answer:

B. square root of 64

Step-by-step explanation:

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Answers

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Joan walked 23 1/4 miles in a week. Her sister walked 69 3/4 miles during the same week. How many times farther did Joan’s sister walk than Joan?

Answers

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How do you solve a quadratic equation

Answers

$- \beta +- √( \beta ) {2} -4ac (all divided by)/2a$

You should already know how to factor quadratics. (If not, review Factoring Quadratics.) The new thing here is that the quadratic is part of an equation, and you're told to solve for the values of x that make the equation true. Here's how it works: Solve (x – 3)(x – 4) = 0. Okay, this one is already factored for me. But how do I solve this?Think: If I multiply two things together and the result is zero, what can I say about those two things? I can say that at least one of them must also be zero. That is, the only way to multiply and get zero is to multiply by zero. (This is sometimes called "The Zero Factor Property" or "Rule" or "Principle".) Warning: You cannot make this statement about any other number! You can only make the conclusion about the factors ("one of them must equal zero") if the product itself equals zero. If the above product of factors had been equal to, say, 4, then we would still have no idea what was the value of either of the factors; we would not have been able (we would not have been mathematically "justified") in makingany claim about the values of the factors. Because you can only make the conclusion ("one of the factors must have equaled zero") if the product equals zero, you must always have the equation in the form "(quadratic) equals (zero)" before you can attempt to solve it. The Zero Factor Principle tells me that at least one of the factors must be equal to zero. Since at least one of the factors must be zero, I'll set them eachequal to zero:x – 3 = 0   or   x – 4 = 0This gives me simple linear equations, and they're easy to solve:x = 3 or  x = 4And this is the solution they're looking for:  x = 3, 4Note that "x = 3, 4" means the same thing as "x = 3 or  x = 4"; the only difference is the formatting. The "x = 3, 4" format is more-typically used.One important issue should be mentioned at this point: Just as with linear equations, the solutions to quadratic equations may be verified by plugging them back into the original equation, and making sure that they work, that they result in a true statement. For the above example, we would do the following: Checking x = 3 in (x – 3)(x – 4) = 0:([3] – 3)([3] – 4) ?=? 0
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Which function represents g(x), a reflection of f(x) = (3)x across the y-axis?g(x) = 2(3)x
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Answers

Answer: $g(x)=(3)^(-x)$

Step-by-step explanation:

We know that if a figure is reflected across y axis then its y coordinate remains same but the x coordinate changes its polarity.

i.e. the function $f(x)$ will become $f(-x)$ .

Now, the given function : $f(x)=(3)^x$

Then , after reflection across y axis the new function will become:

$g(x)=f(-x)=(3)^(-x)$

By how many cm is 1/10 m longer than 1/100 m

Answers

a= 1/10 m = 10 cm
b= 1/100 m = 1 cm
a - b = 9 cm

I am having questions about how to solve problems like this. Anyone able to help?

Answers

For your first answer z=60 because 360/6
For your second answer y=128 you must add the two sides then subtract the answer from 360 to get 128
For your third answer for x=120 and 2x=100

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