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2 years ago

9

How do you write the equation for intercept (4,-3), m=-1

1 answer:

nata0808 [166]2 years ago

6 0

Answer:

y=-1x+-3

Step-by-step explanation:

y=mx+b

y=-1x+-3

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The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in cubic centimeters) of

Dovator [93]

Answer:

The height of the cone is 10.9 cm

Step-by-step explanation:

step 1

Find the height of the cone

Applying the Pythagoras Theorem

$12^{2}=5^{2}+h^{2}$

$144=25+h^{2}$

$h^{2}=144-25$

$h^{2}=119$

$h=10.9\ cm$

therefore

The height of the cone is 10.9 cm

6 0

3 years ago

Two fair dice are rolled. Determine the following probability

VashaNatasha [74]

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2 years ago

A circle has the equation 2x²+12x+2y²−16y−150=0.

KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

$(x-h)^{2} +(y-k)^{2}=r^{2}$ (1)

Where $(h,k)$ are the coordinates of the center and $r$ is the radius.

Now, we are given the equation of this circle as follows:

$2x^{2}+12x+2y^{2}-16y-150=0$ (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

$2(x^{2}+6x+y^{2}-8y-75)=0$ (3)

Rearranging the equation:

$x^{2}+6x+y^{2}-8y=75$ (4)

$(x^{2}+6x)+(y^{2}-8y)=75$ (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of $(a\pm b)^{2}=a^{2}\pm+2ab+b^{2}$ :

<u>For the first parenthesis:</u>

$x^{2}+6x+b^{2}$

We can rewrite this as:

$x^{2}+2(3)x+b^{2}$

Hence in this case $b=3$ and $b^{2}=9$ :

$x^{2}+2(3)x+3^{2}=x^{2}+6x+9=(x+3)^{2}$

<u>For the second parenthesis:</u>

$y^{2}-8y+b^{2}$

We can rewrite this as:

$y^{2}-2(4)y+b^{2}$

Hence in this case $b=-3$ and $b^{2}=9$ :

$y^{2}-2(4)y+4^{2}=y^{2}-8y+16=(y-4)^{2}$

Then, equation (5) is rewritten as follows:

$(x^{2}+6x+9)+(y^{2}-8y+16)=75+9+16$ (6)

<u>Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.</u>

Rearranging:

$(x-3)^{2}+(y-4)^{2}=100$ (7)

At this point we have the circle equation in the center radius form $(x-h)^{2} +(y-k)^{2}=r^{2}$

Hence:

$h=-3$

$k=4$

$r=\sqrt{100}=10$

8 0

3 years ago

What is the slope of the line that passes through the points (5, 0) and (10, 0)

Ierofanga [76]

Answer:

The slope is zero

Step-by-step explanation:

We can find the slope of a line given two points by using

m = (y2-y1)/(x2-x1)

= (0-0)/(10-5)

= 0/5

=0

7 0

3 years ago

-0.5(4a-1.5)+0.5a can someone help me out with this

taurus [48]

Answer:

Ygggg

Step-by-step explanation:

Gggt

5 0

2 years ago