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marissa [1.9K]
3 years ago
11

If the equation of a line has an undefined slope and passes through the point (1, 3), which form would be used to write the equa

tion of the line
Mathematics
1 answer:
aniked [119]3 years ago
6 0
Another version you can use is slope-intercept form.   The two above are standard and point-slope forms. First you do need to find the slope of the line based on m=(y2-y1)/(x2-x1) so for these points: (0,3) and (2,0) --> (x1, y1) and (x2, y2)x1=0y1=3x2=2y2=0 m= (0-3)/(2-0) = -3/2 Then your formula will need to look like y=mx+b where b is your y-intercept (when x=0)  Due to have the x=0 point, you are pretty much done: y=-3/2*x+3 If you do not have a (0,y) form, you can solve as follows:Write out the formula with your slope value inserted:y=-3/2*x+b Choose one of your points on your line to solve for b.  I choose (2,0):0=-3/2*2+b0=-3*1+b3=b --> b=3 

Hi Freedom;(0,3) (2,0)Slope is change-of-y divided by change-of-x...m=(y-y1)/(x-x1)m=(3-0)/(0-2)m=3/-2=-3/2Slope-intercept format is...y=mx+bm is the slope.b is the y-intercept, the value of y when x=0.y=(-3/2)x+bThe y intercept is provided as (0,3)...y=(-3/2)x+3 

(0,3) & (2,0) are the y and x intercepts, so the intercept form is x/2 + y/3 = 1. Multiply both sides by 6: 3x + 2y = 6. 

The slope of the line,m=y-y1/x-x1                             m=3-0/0-2=-3/2 The point slope form is y-y1=m(x-x1) y-0=-3/2(x-2) y=-3/2(x-2) 2y=-3x+6 3x+2y=6 

hope this helps hope i am brainliest 
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garri49 [273]
We have that
<span>y=2x+4--------> equation 1
3x−6y=3-------> equation 2

step 1
</span>I substitute the value of y in equation 1 for the value of y in equation 2<span>
so
</span>3x−6*[2x+4]=3-------> 3x-12x-24=3
-9x=3+24
-9x=27------> 9x=-27
x=-27/9
x=-3

step 2
<span>I substitute the value of x in equation 1 to get the value of y</span>
y=2x+4--------> y=2*(-3)+4--------> y=-6+4
y=-2

the answer is 
the solution is the point (-3,-2)
x=-3
y=-2



5 0
3 years ago
Round 8.54951607694 to 6 decimal places.
Ratling [72]

Answer:

8·549516

Step-by-step explanation:

To round the number given to 6 decimal place, we will follow the steps below;

First count six digits after the decimal point

Then after the six digit number take the next number and see if it below 5 then this means you will be rounding down, so you will leave your six digit after the decimal points the way they are and discard the other digits after the the six digits, but if the digit number right after the sixth digit is 5 and above, then you will be rounding up, you will add one to your sixth digit and then discard the digits after the sixth digits.

That is;

In the number given: 8.54951607694

The sixth digit after the decimal point is 6, the number that comes after it is zero, so we will leave the 6 the way it is and discard the other digits after 6

8.54951607694  ≈  8·549516  to 6 decimal place

4 0
3 years ago
The area of a triangle is 30 square feet. If<br> the base is 4 feet, then what is the height?
ExtremeBDS [4]
Height=15

Explanation:
Area of a triangle= 1/2base x height
Plug in information
30=1/2 x 4 x h
Solve 1/2 x 4 = 2
30= 2 x h
Divide both side by two
30/2=2 x h/2
Solve:
15= h
6 0
3 years ago
If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyra
bearhunter [10]

Answer:

720 sq units.

Step-by-step explanation:

Length and width of square prism, w = 12 units

Height of square prism, x = 7 units

Height of square pyramid, y = 8 units

Please have a look at the attached image.

Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.

Here, surface area of the composite figure will be:

<em>Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism</em>

For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.

Let slant height be l units.

Using pythagoras theorem, we can find out the value of l.

As per theorem:

Hypotenuse^{2} = Base^{2} + Height^{2}\\

\Rightarrow l^{2} = (\dfrac{w}{2})^{2} + y^{2}\\\Rightarrow l^{2} = (\dfrac{12}{2})^{2} + 8^{2}\\\Rightarrow l^{2} = {6}^{2} + 8^{2}\\\Rightarrow l^{2} = 36+64 =  100\\\Rightarrow l = 10\ units

Lateral surface area of square prism = 4 \times Area of triangular surface

\Rightarrow 4 \times \dfrac{1}{2}\times Base \times Slant\ Height\\\Rightarrow 4 \times \dfrac{1}{2} \times 10 \times 12\\\Rightarrow 240\ sq\ units

Surface Area of 5 surfaces of the square prism =

4 \times x \times w + w^2\\\Rightarrow 4 \times 12 \times 7 + 12^2\\\Rightarrow 336 +144\\\Rightarrow 480\ sq\ units

So, total surface area of composite figure:

240 + 480 = 720 sq units.

7 0
3 years ago
I need help with everything.
LekaFEV [45]

Step-by-step explanation:

5. 102 = 6( 1 + 4p)

102 = 6 + 24p

102 - 6 = 24p

96 = 24p

96/ 24 = p

4 = p

5 0
3 years ago
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