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4 years ago

Write the slope intercept form of the equation of the line described.

Mathematics

1 answer:

Lady bird [3.3K]4 years ago

6 0

Answer:

y= -5

Step-by-step explanation:

x=0 is a vertical graph hence the perpendicular graph would be a horizontal line, a y= ____ graph.

Since it passes through the point (-2, -5),

the equation of the line is y= -5.

This would be in slope- intercept form since the gradient of horizontal lines is zero.

y= mx +c, where m is the gradient and c is the y-intercept.

Given that gradient =0, m=0

y= 0x +c

when x= -2, y= -5,

-5= 0(-2) +c

-5= c

c= -5

Thus the equation is y= -5.

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The volume of the Tiny's tank will be equal to V=7760 cubic inches.

<h3>What is volume?</h3>

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube and for the cone it will be radius and height.

It is given that:-

The tank is 16 inches tall.

The area of the tank is 485 square inches

So the volume of the tank will be:-

V= πr²h

V=Area x h

V= 485 x 16

V= 7760 cubic inches

Therefore the volume of the Tiny's tank will be equal to V=7760 cubic inches.

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2 years ago

Read 2 more answers

Please teach me on how to answer this question. (addmath question)

arsen [322]

We know that $\overline{x}=8$ so:

$\overline{x}=8\\\\\\\dfrac{\sum\limits_{k=1}^7\,x_k}{7}=8\qquad|\cdot7\\\\\\ \boxed{\sum\limits_{k=1}^7\,x_k=56}$

We want to calculate:

$\sum\limits_{k=1}^7\,\big(2x_k-3\big)^2=\sum\limits_{k=1}^7\,\big(4x_k^2-12x_k+9\big)=\\\\\\=\sum\limits_{k=1}^7\,4x_k^2-\sum\limits_{k=1}^7\,\big12x_k+\sum\limits_{k=1}^7\,9=4\sum\limits_{k=1}^7\,x_k^2-12\sum\limits_{k=1}^7\,x_k+\sum\limits_{k=1}^7\,9=\\\\\\=4\cdot672-12\cdot56+7\cdot9=2688-672+63=\boxed{2079}$

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3 years ago

8k + 2m = 3m + k<br><br> Solve for k

mina [271]

Minus both sides by 2m
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Minus both sides by k
$7k = m$
Divided both sides by 7
$k = \frac{m}{7}$

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3 years ago

Use the given endpoint R and the midpoint M of segment RS to find the coordinates of the other endpoint S. (Hint: Use the midpoi

zimovet [89]

Using the given endpoint R (8,0)and the midpoint M (4,-5) , the other endpoint S is (0,-10)

Explanation :

Use the given endpoint R and the midpoint M of segment RS

R (8, 0 ) and M (4, -5 )

Let 'S' be (x2,y2)

Apply the midpoint formula

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\$

Endpoint R is (x1,y1) that is (8,0)

Substitute the values and make it equal to M(4,-5)

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\\\(\frac{8+x_2}{2},\frac{0+y_2}{2} )=(4,-5)\\\\\frac{8+x_2}{2}=4\\8+x_2=8\\x_2=8-8=0\\x_2=0\\\\\\\frac{0+y_2}{2} =-5\\y_2=-10$

So other endpoint S is (0,-10)

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Answer:

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