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3 years ago

Answer Choices for 2:

Mathematics

1 answer:

worty [1.4K]3 years ago

7 0

Hello,
Please, see the attached file.
Thanks.

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X^2 - y^2 = 100

luda_lava [24]

Answer:

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

$x+y=5$

Subtract y from both sides:

$x=5-y$

Now, substitute "5-y" for "x" in the first equation:

$(5-y)^2-y^2=100$

Note that:

$(a-b)^2=a^2-2ab+b^2$

$25-10y+y^2-y^2=100$

Cancel out like terms:

$25-10y=100$

Subtract 25 from both sides:

$-10y=75$

Divide both sides by -10

$y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}$

Now, substitute this value back into either of the equations to solve for x.

$x+y=5\\x-\frac{15}{2}=5\\$

Add 15/2 to both sides:

$x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}$

Now, find the difference:

$x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20$

8 0

2 years ago

What's is the slope of this line? Need this ASAP

Basile [38]

Answer:

$\displaystyle m=2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Reading a Cartesian Plane

Coordinates (x, y)

Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 3)

Point (1, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{5-3}{1-0}$
[Slope] Subtract: $\displaystyle m=\frac{2}{1}$
[Slope] Divide: $\displaystyle m=2$

5 0

3 years ago

What is 817x45 in standerd algorithm pls help

sineoko [7]

Answer:

Step-by-step explanation:

817

x 45

_______

+ 4085

+ 32680

__________

36,765

5 0

2 years ago

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Brian works 4 hours on thursday and gets $95 in tips and 5 hours on friday and gets $178 in tips. If his total for 2 days is $32

MrRa [10]

Answer:

5.25

Step-by-step explanation:

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3 years ago

Need this one ASAP please

babunello [35]

Answer:

28..

Step-by-step explanation:

divide 35 by 1 1/4...

7 0

3 years ago

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