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2 years ago

Use the Pythagorean Theorem to find the distance

Mathematics

1 answer:

docker41 [41]2 years ago

7 0

Answer:

About 10.05

Step-by-step explanation:

The change in x is 1, so the bottom line is a length of 1. The change in y is 10, so the right line is 10. Since a^2+b^2=c^2, 1^2+10^2=101, and the square root of 101 is about 10.05.

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Solve 7x − 2(x + 1) = 6x + 14. (5 points)

miv72 [106K]

Answer:

Simplifying

7x + -2(x + 1) = 6x + 14

Reorder the terms:

7x + -2(1 + x) = 6x + 14

7x + (1 * -2 + x * -2) = 6x + 14

7x + (-2 + -2x) = 6x + 14

Reorder the terms:

-2 + 7x + -2x = 6x + 14

Combine like terms: 7x + -2x = 5x

-2 + 5x = 6x + 14

Reorder the terms:

-2 + 5x = 14 + 6x

Solving

-2 + 5x = 14 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

-2 + 5x + -6x = 14 + 6x + -6x

Combine like terms: 5x + -6x = -1x

-2 + -1x = 14 + 6x + -6x

Combine like terms: 6x + -6x = 0

-2 + -1x = 14 + 0

-2 + -1x = 14

Add '2' to each side of the equation.

-2 + 2 + -1x = 14 + 2

Combine like terms: -2 + 2 = 0

0 + -1x = 14 + 2

-1x = 14 + 2

Combine like terms: 14 + 2 = 16

-1x = 16

Divide each side by '-1'.

x = -16

Simplifying

x = -16

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A) Rate (R) 24/5 Time = 1 month Interest = Rs. 39.96

yKpoI14uk [10]

Answer: P = $ 1,998.01

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 24%/100 = 0.24 per year,

putting time into years for simplicity,

1 months ÷ 12 months/year = 0.083333 years,

then, solving our equation

P = 39.96 / ( 0.24 × 0.083333 ) = 1998.007992032

P = $ 1,998.01

The principal required to

accumulate interest of $ 39.96

on a rate of 24% per year for 0.083333 years (1 months) is $ 1,998.01.

5 0

3 years ago

Match the real-world problem to its constant of proportionality.

BabaBlast [244]

Answer:

a. $18.36 for 3 pizzas : k = 6.12

b. $4.17 for 3 pounds of bananas . k = 1.39

c. $16.48 for 4 pounds of potatoes . k = 4.12

d. 2 cups of flour to make 24 cookie . k = 2

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k i s called the PROPORTIONALITY CONSTANT.

⇒ $x \propto y \implies k = \frac{x}{y}$

Now, for the given quantities:

a. $18.36 for 3 pizzas [box]

Here, $k = \frac{18.36}{3} = 6.12$

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, $k = \frac{4.17}{3} = 1.39$

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, $k = \frac{16.48}{4} = 4.12$

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here, $k = \frac{24}{2} = 12$

So, the proportionality constant is 12

6 0

4 years ago

PLS HELP MEEEEEEEE PLS I NEED THIS ASAP

ki77a [65]

Answer:the first one is 16 and the second one I don’t know and it’s kinda hard to see

5 0

3 years ago

Read 2 more answers

A silicon chip is 14 nanometers thick. A nanometer is equal to 0.000000001 meter. Express the thickness of the chip using scient

oksano4ka [1.4K]

Answer:

1.4 × 10^-8

Step-by-step explanation:

The chip is 14 nanometers

14 * .000000001

.000000014

Move the decimal 8 places to the right, because we need 1 number in front of the decimal for scientific notation. The exponent will be -8 because we moved it 8 places to the right

1.4 × 10^-8

4 0

3 years ago

Read 2 more answers