All categories

2 years ago

Write a system of equations with the solution (-3,-8) in standard form.

Mathematics

1 answer:

Katyanochek1 [597]2 years ago

3 0

Answer:

y=2x-2

y=3x+1

Step-by-step explanation:

To solve this I will be using the point slope formula

It is as follows

y-y₁=m(x-x₁)

We can choose any m value so I will be choosing m=2

(x₁,y₁) will be (-3,-8) respectively because all we want is for the line to pass through that point

so we have

y-(-8)=2(x-(-3)

We can simplify this to

y+8=2(x+3)

y+8=2x+6

y=2x-2

We then repeat this process but choose a new m (the m value doesn't really matter as long as it's not 0)

I will choose 3

so we have

y-(-8)=3(x-(-3))

Which gives u

y+8=3(x+3)

y+8=3x+9

y=3x+1

You might be interested in

4(c+12)=2c+18 what is c=?

Elanso [62]

4(c+12)=2c+18
4c+12c=2c+18
4c-2c=18-48
2c=-30
c= -30/2
c= -15

5 0

3 years ago

Help! If you know this can you tell me how to do it?

aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

Here's how this works:

Get everything together into one fraction by finding the LCD and doing the math. The LCD is sin(x) cos(x). Multiplying that in to each term looks like this:

$[sin(x)cos(x)]\frac{sin(x)}{cos(x)}+[sin(x)cos(x)]\frac{cos(x)}{sin(x)} =?$

In the first term, the cos(x)'s cancel out, and in the second term the sin(x)'s cancel out, leaving:

$\frac{sin^2(x)}{sin(x)cos(x)}+\frac{cos^2(x)}{sin(x)cos(x)}=?$

Put everything over the common denominator now:

$\frac{sin^2(x)+cos^2(x)}{sin(x)cos(x)}=?$

Since $sin^2(x)+cos^2(x)=1$ , we will make that substitution:

$\frac{1}{sin(x)cos(x)}$

We could separate that fraction into 2:

$\frac{1}{sin(x)}$ × $\frac{1}{cos(x)}$

$\frac{1}{sin(x)}=csc(x)$ and $\frac{1}{cos(x)}=sec(x)$

Therefore, the simplification is

sec(x)csc(x)

5 0

3 years ago

A grid shows the positions of a subway stop and your house. The subway stop is located at (-1, 0) and your house is located at (

mars1129 [50]

4.47 to the nearest unit would be 4

5 0

3 years ago

-1/3x+2x=3 3/4 what does the variable represent?

svet-max [94.6K]

Start off by combining like terms on the LHS (the terms with x in them).

So we get $\frac{-1}{3}x+2x= \frac{-1}{3}x+ \frac{6}{3}x= \frac{-5}{3}x$

Replacing this result with what we had before on the LHS, we get $\frac{-5}{3}x=3 \frac{3}{4}= \frac{9}{4}$

⇒Solve for x (divide both sides $\frac{-5}{3}$ )
⇒Don't forget about reciprocity rules when dividing. This is the same as multiplying both sides by $\frac{3}{-5}$

⇒ $x= \frac{9}{4}( \frac{3}{-5})
$
⇒ $x= -\frac{27}{20}=-1\frac{7}{20}$ ***This is a proper fraction

4 0

3 years ago

Read 2 more answers

Please Help Me ASAP!!! Factor completely. x^2 + 5x + 6 Enter your answer in the box.

Kamila [148]

Answer:

Answer is (x+3)(x+2)

3 time 2 equal 6

While 3 plus 2 equal 5

plz mark brainliest if this helps!

6 0

3 years ago

Read 2 more answers