MATHEMATICS MIDDLE SCHOOL

Can someone help me with this

Answers

Answer 1

Answer:

Answer:

(1, 3)

Step-by-step explanation:

Origin is the point (0,0) on the graph.

Distance between 2 points=

$\sqrt{ {(x1 - x2)}^(2) + (y1 - y2)^(2) }$

Hence using the formula above,

$\sqrt{ {(x1 - 0)}^(2) + (y1 - 0)^(2) } = √(10) \n (x1) ^(2) + {(y1)}^(2) = 10$

1) subst. x₂=0, y₂=0 and distance = √10

2) simplify expression and square both sides

So the answer could be any point in which the sum of the square of the x coordinate and the square of the y coordinate equals to 10.

When x₁= 1,

1² + (y₁)²= 10

1+ (y₁)² = 10

(y₁)²= 10 -1

(y₁)²= 9

y₁= ± √9

y₁= 3 or y₁= -3

Thus, the other point could be (1 ,3).

Related Questions

Which equation is represented by the table? x y (x, y)0 –1 (0, –1)1 4 (1, 4)2 9 (2, 9)A.y = 5x – 1B.y = –3x + 3C.y = 3x – 4D.y = 3x + 3
Zoe has a collection of 78 movies, costing $29.99 each. How much did Zoe spend on all her movies?
pizza palace cuts a medium pizza into 8 slices.the same size pizza at pizza pioneers si cut into 16 slices.Jasmine ate 4 slices of a medium pizza from pizza pioneers.what fraction of the pizza from pizza palace is equal to 4/16. Explain
How far away from the tree is the girl ? A. 30 feet B. 70 feet C. 20 feetD. 50 feet
Round each addend to the nearest whole number and estimate the sum 19.43+11.5+3.08

How do I factor y^2-16

Answers

this is a difference of 2 perfect square so if we have
a^2+b^2=(a-b)(a+b)
16=4^2
y^2-4^2=(y-4)(y+4)

Which statement is true? A. 13/14 > 25/28 B. 21/45 < 4/9 C. 5/6 > 11/12 D. 4/5 < 8/25

Answers

Rewrite the fractions with common denominators and then answer:

13/14 > 25/28

26/28 > 25/28

This is True

B) 21/45 < 20/45 False

C) 10/12 > 11/12

False

D) 20/25 < 8/25

False

The true statement is A.

Answer: (A)

Step-by-step explanation: 13/14 > 25/28

Please answer ASAP! An explanation is a MUST requirement in order to receive points and the Brainliest answer! Thank you.

Answers

The first step we can take to find the simplest form of this inequality is to subtract 3 from both sides

$(1)/(2)$ n + 3 < 5

$(1)/(2)$ n + 3 - 3 < 5 - 3

$(1)/(2)$ n < 2

So now we have a simpler version to work with.
To further simplify, we can divide both sides by $(1)/(2)$ . Dividing by fractions is hard though, so smart people have found out that dividing by a fraction is the same as multiplying by that same fraction's reciprocal.

$(1)/(2)$ n / $(1)/(2)$ < 2 / $(1)/(2)$

$(1)/(2)$ n * 2 < 2 * 2

Now, we can work it out to find the completely simplified inequality, which would simply be

n < 4

The character '<' represents that the number being represented by the variable is less than the number that follows that character. On a proper number line, this is represented by an open circle above the number on the right of the inequality with an arrow pointing the same direction on the number line that the point of the inequality symbol is facing.
If that doesn't make sense, imagine the inequality symbol as the head of an arrow.

<====<<

So the arrow would be pointing to the left, with an open circle above the 4. The only choice listed that represents this is the second option down.
Option B is your correct answer choice.
Hope that helped! =)

Plzzzzz help............Twelve decreased by twice a number is the same as 8 times the sum of the number plus 4. What is the number?Is the equation 2x-12=8(x+4)

Answers

Okay, the equation would be 12 - 2x = 8(x + 4), you got close!

what i would do first is distribute to get rid of those evil parenthesis and make this all simple ^-^

So, we take 8 times x, and 8 times 4.

Our equation, is now 12 - 2x = 8x + 32

Now, what i would do, is simplify it. Get x to one side, and a whole number to the other. Well, for me it would be easier to keep the larger number on the right, and x on the left!

So we have to be fair, and keep it equal! So, i would start with.... subtracting 32. Since its a positive 32, to cancel it out we have to subtract 32, to get to zero! so, by subtracting 32 on both sides ( 12 - 32 and 32 - 32) we end up with -20 - 2x = 8x

Now looking at - 20 - 2x = 8x, i can see what i need to do. i need to get x to one side, and whole numbers to the other. There are no whole numbers on the right, just variables and coefficients, so i have to get that x away from the left!

So, im going to add 2x on both sides, to eliminate it! So we add 2x on the left to cancel it out, and add 2 x on the right to balance it out! We are now left with -20 = 10x

Now what we do is we get rid of that tag along right by the x! Yep, that little 10 there! He has to go!

How to we get rid of him? Well, he is being multiplied by the x! So, we have to do the opposite and divide to get him alone. So, we divide by 10 on both sides, and we are left with -2 = x!

Now, time to check your answer! Basically, you replace x with -2 in the equation! Here we go:

12 - 2(-2) = 8(-2 + 4)

First we should start with multiplying! when we multiply the -2 in the equation, we get 12 + 4 = 8(2), and we can finish that off by simplifying it to 12 + 4 = 16

when we simplify it and add 12 + 4, we get 16. So we are left with 16 = 16.

This equation is true, so we are right! -2 DOES equal x!

Is 5622 divisible by 4