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3 years ago

I have a homework assignment that's due tomorrow in honors algebra. I need help, I'm kind of stuck. Here's the question:

1 answer:

Montano1993 [528]3 years ago

7 0

The contestant must answer at least 33 questions correctly in order to end up with over 350 total points. The 100 they start off with means that they should really only have to answer 25 questions correctly, but this is not the case. 33 x 10 = 330, plus the first 100 = 430. This is necessary as a buffer, seeing as how if they get every question other than the necessary 33 wrong, it will be a reduction of 68 points total (17 incorrect, which is minus 4 = 68)
(430 - 68 = 362). I hope this was thoroughly explained and broken down! Best of luck!!

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Find the point slope form and slope intercept form, indicate the slope and y-int:

Luda [366]

1) The point slope form and slope intercept form of 3x + 4y = -12 are $y+1=\frac{-3}{4}\left(x+\frac{8}{3}\right)$ and $y= \frac{-3}{4}x-3$ respectively

And slope is $\frac{-3}{4}$ and y -intercept is -3

2) The point slope form and slope intercept form of -2x - 3y = 6 are $y+1=-\frac{2}{3}\left(x+\frac{3}{2}\right)$ and $y=-\frac{2}{3} x-2$ respectively

And slope is $\frac{-2}{3}$ and y-intercept is -2

Solution:

Given, two equations are 3x + 4y = - 12 ⇒ (1) and – 2x – 3y = 6 ⇒ (2)

We have to find the point slope form and slope intercept form, and have to indicate the slope and y-intercept.

The point slope form is given as:

$y-y_{1}=m\left(x-x_{1}\right)$

Where "m" is the slope of the line

The slope-intercept form is given as:

y = mx + c

Where "c" is the y-intercept

1) Solving 3x + 4y = -12

Given equation is 3x + 4y = -12

On rearranging the terms, we get,

$\begin{array}{l}{4 y=-3 x-12} \\\\ {\rightarrow y=\frac{-3}{4}-3}\end{array}$

Hence the slope intercept form is $y=\frac{-3}{4}-3$

$\text { where slope is }-\frac{3}{4} \text { and } y-\text { intercept is }-3$

$\text { Point slope form i.e. } y-y_{1}=m\left(x-x_{1}\right)$

$\begin{array}{l}{3 x+4 y=-12} \\\\ {\rightarrow 4 y=-3 x-12} \\\\ {\rightarrow y=\frac{-3}{4} x-3} \\\\ {\rightarrow y=\frac{-3}{4} x-2-1} \\\\ {\rightarrow y+1=\frac{-3}{4}\left(x+\frac{8}{3}\right)}\end{array}$

2) Solving -2x – 3y = 6

Slope intercept form is given as:

$-2 x-3 y=6 \rightarrow-3 y=2 x+6 \\\\\rightarrow y=-\frac{2}{3} x-2$

$\text { where slope is }-\frac{2}{3} \text { and } y-\text { intercept is }-2$

Point slope form is given as:

$\begin{array}{l}{-2 x-3 y=6 \rightarrow-3 y=2 x+6} \\\\ {\rightarrow y=-\frac{2}{3} x-2} \\\\ {\rightarrow y=-\frac{2}{3} x-1-1} \\\\ {\quad \rightarrow y+1=-\frac{2}{3}\left(x+\frac{3}{2}\right)}\end{array}$

Hence the required slope and y-intercept are found

4 0

3 years ago

A family pays $45 each month for cable television. The cost increases 7%.What is the new monthly cost?

djyliett [7]

48.15 dollars. u multiply 7% by 45. (7% as decimal is .07)

4 0

4 years ago

Read 2 more answers

Write the equation for the perpendicular bisector of the given line segment.

spayn [35]

Answer:

Step-by-step explanation:

find the equation of the segment two point (-5,5) and (-2,-4)

m=y2-y1/x2-x1 =5-(-4)/-5-(-2) =9/-3 = -3

find b : y= -3x+b

5 =-3(-5) +b

b=-10

the equation is : y=-3x-10

the perpendicular line is y=1/3 x -2/3

4 0

3 years ago

What is the answer to this

Xelga [282]

Lateral area of triangular prism = (a+b+c)h where a, b and c are the sides of the triangular base, h is the height.

LA= (a+b+c)h=
a=4
b=6
c=?
c=9
h=8

c=√6²+4²=√80 or approximately 9

you should get An Area= (4+6+√80)8

LA= 80+8√80

4 0

3 years ago

The following figure is not drawn to scale.

erik [133]

Answer:

The triangle angle rule says that all of the angles in a triangle will add up to equal 180. So to find x we subtract the given angles ( 45 and 60 in this case) from 180.

x = 180-60-45

180-60-45=75

so x = 75

To find y we know that angle x and and y are angles formed on a straight line that are split up by a triangle segment. These angles are called supplementary angles which add up to equal 180.

So knowing that angle x = 75 we can find angle y by subtracting 75 from 180

180-75=105 so y = 105

Another way we could solve for y is the exterior triangle rule

This rule states that an exterior angle of a triangle is equal to the two opposite interior angles

so y = 45 + 65

45 + 65=105

so y = 105

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers