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3 years ago

35/7 Be sure to reduce to lowest terms.

Mathematics

1 answer:

Yuliya22 [10]3 years ago

5 0

Answer:

Step-by-step explanation:

35/7 is equal to 5

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Find the values of x and y.

Murljashka [212]

ΔABC has two congruent angles. Therefore, it is an isosceles triangle.

Therefore we have the equation (1) 3x - 5 = y + 12.

All angles of the ΔDBC are congruent. Therefore it is an equilateral triangle.

Therefore we have the equation (2) 3x - 5 = 5y - 4

From (1) and (2) we have the equation:

5y - 4 = y + 12 add 4 to both sides

5y = y + 16 subtract y from both sides

4y = 16 divide both sides by 4

y = 4

Substitute the value of y to (1):

3x - 5 = 4 + 12

3x - 5 = 16 add 5 to both sides

3x = 21 divide both sides by 3

x = 7

<h3>Answer: x = 7 and y = 4</h3>

4 0

4 years ago

Find the equation of the tangent of x^2- xy + y^2 =7 at (-1, 2)

Citrus2011 [14]

Answer:

It is 3y = 4x + 10

Step-by-step explanation:

Let's first get the slope of the curve.

[ slope is the derivative of the equation ]

${x}^{2} - xy + {y}^{2} = 7$

introduce dy/dx :

$\frac{d}{dx} ( {x}^{2} - xy + {y}^{2} ) = \frac{d}{dx} (7) \\ \\ 2x - (y + \frac{dy}{dx} ) + 2y \frac{dy}{dx} = 0$

make dy/dx the subject:

$2x - y - \frac{dy}{dx} + 2y \frac{dy}{dx} = 0 \\ \\ 2y \frac{dy}{dx} - \frac{dy}{dx} = y - 2x \\ \\ \frac{dy}{dx} (2y - 1) = y - 2x \\ \\ \frac{dy}{dx} = \frac{y - 2x}{2y - 1}$

At point (-1, 2):

$\frac{dy}{dx} = \frac{2 - 2( - 1)}{2(2) - 1} \\ \\ slope = \frac{4}{3}$

but a tangent has the same slope as the curve:

$y = mx + c$

m is the slope

c is the y-intercept

At (-1, 2):

$2 = ( - 1 \times \frac{4}{3} ) + c \\ \\ c = 2 + \frac{4}{3} \\ \\ c = \frac{10}{3}$

equation:

$y = \frac{4}{3} x + \frac{10}{3} \\ \\ { \boxed{3y = 4x + 10}}$

8 0

3 years ago

Read 2 more answers

A test has thirty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice

QveST [7]

Two multiple choice questions, because: 3*28 is equal to 84, so if we do 8*2 we get 16, and 84+16 is 100! Hope this helped! Brainliest is always appreciated.

8 0

4 years ago

Read 2 more answers

brent works at a local pet store when he works 5 hours he earns 25 when he works 10 hours he earns 50 what is the rate per hour

kaheart [24]

$5 per hour
Explanation:
25 divided by 5 is 5
50 divided by 10 is 5
So Brent earns $5 per hour

7 0

3 years ago

What is the surface area for this?

DanielleElmas [232]

It is 6 sq. units. I hope you do well. Have a wonderful day.

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3 years ago