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2 years ago

Covert this into slope-intercept form : 13x - 11y = -12

Mathematics

2 answers:

ICE Princess25 [194]2 years ago

5 0

Solve for y,

13x - 11 y = -12

13x + 12 = 11y

Answer: y = (13/11) x + (12/11)

kykrilka [37]2 years ago

5 0

Answer:

3/11 * 12/11

Step-by-step explanation:

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a student's work to distribute and simplify a radical is shown below. Select the statement which best applies to the sample math

weqwewe [10]

C), radicals siplified incorrectly

4 0

2 years ago

Read 2 more answers

Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point

Maksim231197 [3]

Answer: $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

or (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

$\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]$

Taking square on both the sides , we get

$(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0$

Using quadratic formula : $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}$

so, $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

since $\sqrt{3}=1.732$

so, $(6+7(1.732),0)\text{ and }(6-7(1.732),0)$ are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

3 0

2 years ago

Are the two terms on each tile like terms? Sort the tiles into the appropriate categories.

o-na [289]

Answer:

Like terms: $-7y^2$ and $y^2$ , $0.5kt$ and $-10kt$ , $6$ and $9$

Not like terms: $-4p$ and $p^2$ , $5x$ and $5$ , $3ad$ and $2bd$

Step-by-step explanation:

Two or more terms are called like terms if they have same variables and powers.

$-7y^2$ and $y^2$ are like terms because they have same variable y with same power 2.

$-4p$ and $p^2$ are not like terms because they have same variable y with different powers.

$0.5kt$ and $-10kt$ are like terms because they have same variables kt with same power 1.

$6$ and $9$ are like terms because both are constant.

$5x$ and $5$ are not like terms because one have variable and other is constant.

$3ad$ and $2bd$ are not like terms because they have different variables.

Like terms: $-7y^2$ and $y^2$ , $0.5kt$ and $-10kt$ , $6$ and $9$

Not like terms: $-4p$ and $p^2$ , $5x$ and $5$ , $3ad$ and $2bd$

7 0

2 years ago

Help please, I don’t understand this

Solnce55 [7]

Answer:

r(14) = 29

Step-by-step explanation:

r(x) = 3/2x+8

r(14) = 3/2*14+8 = 21+8 = 29

6 0

2 years ago

Read 2 more answers

What is the surface area of the<br> rectangular prism below?

Vikki [24]

To Find Surface Area:

So Surface area is found according to this equation SA=2lw+2lh+2hw

6and 1/2 times 2 is 13 that would be the 2 sides

then you do 3 times 6 1/2 which is 19 1/2, which is the top and bottom

finally you do 3 times 9 1/5 which is 27 3/5.

Now since 1/2 and 1/5 are not the same, we find the LCM or Least Common Multiple, which is 10 so 1/2 is multiplied by 5 which is 5/10 and 3/5 is multiplied by 2 which makes 6/10.

Adding 5/10 and 6/10 is 11/10 or 1 1/10

13+6+9=28

28+1 1/10 = 29 1/10

and finally because we did surface area it is 29 1/10 CM^2

__________________________________________________________

To Find Volume:

The Equation used to find volume is l*w*h

The Length is 6 1/2

Height is 9 1/5

width is 3

First, lets again convert the fractions

5/10 and 6/10

6 5/10 times 9 6/10 is 62.4

62.4 times 3 is 187.2

The .2 and be put into 2/10 or 1/5 so the FINAL answer is 187 1/5

Another way to check this is

6*9*3=162

1/5*1/2

Hope this helped :)

~Ukiahsmith1

5 0

2 years ago