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hram777 [196]
3 years ago
9

A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using a

ll of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other.
Which equation represents x, the side length of the greater square?

A) x2 + (x – 2)2 = 10
B) x2 + 2x2 = 10
C) x2 + (x – 2)2 = 100
D) x2 + 2x2 = 100
Mathematics
1 answer:
Crank3 years ago
6 0
C is the correct answer
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What is the orthocenter of (1,3) (-3,1) (0,0)
nikklg [1K]

Answer:

(0,0)

Step-by-step explanation:

Orthocenter is the intersection of the three altitudes in a triangle.

https://www.wolframalpha.com/widgets/view.jsp?id=c17a1939f921b8bf84b5ddb332a9a634

5 0
3 years ago
Ava picks a number greater than 3 tens 6 ones. The number is less than 52. It has more than 6 ones. What could the number be?
melisa1 [442]
<span>reater than 3 tens 6 ones" probably means greater than 36, so maybe it's 37, 38, 39, and so on, up to 51. "It has more than 6 ones" probably means that it's got 7 or more in the ones place. so 40, 41, up to 46, and 50 and 51 can't be it. So we're left with 37, 38, 39, 47, 48, or 49 as possibilities for what Ava picked.</span>
4 0
3 years ago
Read 2 more answers
Anna is given the equation 3 + 2x = 2x + 3 The replacement set is {2, 3, 4, 5} Anna says the solution is {3}, but the teacher ma
alexira [117]

<u><em>Answer:</em></u>

The given equation has <u>infinite number of solutions</u>. This means that <u>any real number</u> can be considered a solution to the given equation.

Since the given replacement set {2,3,4,5} consists of real numbers, therefore, the whole set is considered as a solution to the given equation.

This is because, when solving the given equation for x, we will end up with 0 = 0, this means that whatever the value of x is, both sides of the equation will always be equal.

<u><em>Explanation:</em></u>

To solve for x, we need to isolate the x on one side of the equation.

<u>This can be done as follows:</u>

3 + 2x = 2x + 3 (subtract 3 from both sides)

2x = 2x (subtract 2x from both sides)

0 = 0

This means that whatever, the value of x is, both sides of the equation will be equal. This means that all real numbers are considered a solution for this equation.

<u>Let's verify this using the given replacement set {2,3,4,5}:</u>

<u>For x = 2: </u>

Left hand side: 3 + 2(2) = 3 + 4 = 7

Right hand side: 2(2) + 3 = 4 + 3 = 7

Both sides are equal.

<u>For x = 3:</u>

Left hand side: 3 + 2(3) = 3 + 6 = 9

Right hand side: 2(3) + 3 = 6 + 3 = 9

Both sides are equal.

<u>For x = 4:</u>

Left hand side: 3 + 2(4) = 3 + 8 = 11

Right hand side: 2(4) + 3 = 8 + 3 = 11

Both sides are equal.

<u>For x = 5:</u>

Left hand side: 3 + 2(5) = 3 + 10 = 13

Right hand side: 2(5) + 3 = 10 + 3 = 13

Both sides are equal.

Hope this helps :)


5 0
4 years ago
What is the expression 6 times the quantity n plus 7?<br> (there is no picture for it)
lesantik [10]

Answer:

it's 6n + 7

Step-by-step explanation:

hope this helped a little bit :))

4 0
3 years ago
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For the equation 3x^2+mx-3=0 find values of m so there are 2 real distinct roots
dolphi86 [110]
Determine the number of solutions using the discriminant D=b^2-4ac
D=m^2-4•3•(-3)
Calculate the product D=m^2+36
Since D > 0 for any value of m
The quadratic equation has 2 real roots.
6 0
4 years ago
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