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Ivanshal [37]
3 years ago
8

WILL GIVE BRAINLIEST AWARD! THANKS AND STARS, What is the length of the segment EH?

Mathematics
1 answer:
MakcuM [25]3 years ago
6 0

Answer:

The answer is 25.

Step-by-step explanation:

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There is a line that includes the point(10, 5)and has a slope of 1 What
ziro4ka [17]

Answer:

y = x - 5

Step-by-step explanation:

Given the point, (10, 5), and the slope, m = 1:

Substitute these values into the <u>slope-intercept form</u> to solve for the y-intercept, <em>b</em>:

y = mx + b

5 = 1(10) + b

5 = 10 + b

Subtract 10 from both sides to isolate b:

5 - 10 = 10 - 10 + b

-5 = b

The y-intercept of the line is: b = -5. This represents the y-coordinate of the y-intercept, (0, -5), which represents the point on the graph where it crosses the y-axis. Along the y-axis, the value of x = 0. Hence, the y-intercept is (0, -5).  

Therefore, given the slope, m = 1, and the y-intercept, b = -5:

The equation of the line in slope-intercept form is:  y = x - 5.

3 0
3 years ago
A cylinder can hold 450 inches of water. How many cubic inches of water can a cone that has a congruent base and equal height to
Paladinen [302]

Answer:

150 cubic inches of water

Step-by-step explanation:

volume of a cylinder = πr²h

Volume of a cone 1/3(πr²h)

π  = 22/7

r = radius

volume of a cone = \frac{1}{3} x Volume of a cylinder

450 / 3 = 150 in³

7 0
3 years ago
Can u pls help me with this question ​
rodikova [14]

Answer:

no

Step-by-step explanation:

the 2 fractions are not equal

7 0
3 years ago
Read 2 more answers
Select the correct answer.<br> Which number has a repeating decimal form?
Dmitry_Shevchenko [17]

Answer:

D: 2/6

Step-by-step explanation:

2/6= 0.333333 repeating

8 0
3 years ago
Find the equation of the tangent of x^2- xy + y^2 =7 at (-1, 2)
Citrus2011 [14]

Answer:

<u>It</u><u> </u><u>is</u><u> </u><u>3</u><u>y</u><u> </u><u>=</u><u> </u><u>4</u><u>x</u><u> </u><u>+</u><u> </u><u>1</u><u>0</u>

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
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