All categories

3 years ago

In point slope form & slope intercept please

Mathematics

2 answers:

Brrunno [24]3 years ago

8 0

Answer:

Point-slope form: $y-7 = - \frac{3}{4} (x+4)$

Slope-intercept form: $y = -\frac{3}{4}x+4$

Step-by-step explanation:

-The point slope form:

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

-Use the given point and slope to this equation to get the point slope form:

$y-7 = - \frac{3}{4} (x+4)$

-To get to the slope intercept form, you need to solve the equation:

$y-7 = - \frac{3}{4} (x+4)$

$y-7 = - \frac{3}{4}x -3$

$y-7 +7 = - \frac{3}{4}x - 3 +7$

$y = -\frac{3}{4}x+4$

So, the results are:

Point-slope form: $y-7 = - \frac{3}{4} (x+4)$

Slope-intercept form: $y = -\frac{3}{4}x+4$

lord [1]3 years ago

7 0

Answer:

4+8

Step-by-step explanation:

You might be interested in

What is the area of is circle? <br> (circle is 4cm)<br> Area= ? cm[2]

elena-14-01-66 [18.8K]

Answer:

16 cms if each side is 4. cc

3 0

3 years ago

A central angle in this diagram is:

Mrrafil [7]

√HOL

√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL√HOL

3 0

3 years ago

How to round 5,000 to the nearest hundred?

adelina 88 [10]

C. 4,990. Because it's the closest

7 0

3 years ago

Read 2 more answers

This should be easy to answer with a calculator but I don’t really have a calculator on hand lol so please solve it for me:

GuDViN [60]

Answer:

- 132

Step-by-step explanation:

This can be evaluated without a calculator.

Take each part of the calculation and evaluate, that is

- 6(3)(- 4) = - 6 × - 12 = 72

3(3)²(- 4) = 3 × 9 × - 4 = - 12 × 9 = - 108

2(3)(- 4)² = 6 × 16 = 96

Putting the 3 parts back together

72 - 108 - 96

= 72 - 204

= - 132

6 0

4 years ago

2. Sue is buying a 13-pound mixture of gummy candy, jelly beans, and hard candy. The cost of gummy candy is $1.20 per pound, jel

omeli [17]

Answer:

Store used 7.5 pounds of gummy candy, 2.5 pounds of jelly beans, and 3 pounds of hard candy.

Step-by-step explanation:

Let the amount of gummy candy be 'x'.

Let the amount of jelly beans be 'y'.

Let the amount of hard candy 'z'.

Now Given:

Sue is buying 13 pound of mixture.

So we can say that;

$x+y+z =13$

But Given:

The mixture calls for three times as many gummy candy pieces as jelly beans.

$x=3y$

Substituting the value of x in above equation we get;

$3y+y+z=13\\\\4y +z =13 \ \ \ \ \ equation \ 1$

Also Given:

cost of gummy candy = $1.20

cost of jelly beans = $2.00

cost of hard candy = $2.60

Total Cost of mixture = $21.80

Now Total Cost of mixture is equal to cost of gummy candy multiplied amount of gummy candy plus cost of jelly bean multiplied amount of jelly bean plus cost of hard candy multiplied amount of hard candy.

framing in equation form we get;

$1.2x+2y+2.6z=21.80$

But $x=3y$

So $1.2(3y)+2y+2.6z=21.80\\\\3.6y+2y+2.6z=21.80\\\\5.6y+2.6z=21.80$

Now Multiplying by both side by 10 we get;

$10(5.6y+2.6z)=21.80\times 10\\\\10\times5.6y + 10\times2.6z =218\\\\56y+26z=218 \ \ \ \ \ equation \ 2$

Now Multiplying equation 1 by 14 we get;

$14(4y +z) =13\times14\\\\14\times4y +14z =182\\\\56y+14z=182$

Now Subtracting equation 3 from equation 2 we get;

$(56y+26z) - (56y+14z) =218-182\\\\56y +26z-56y-14z=36\\\\12z=36\\\\z=\frac{36}{12} = 3 \ pounds$

Now Substituting value of z in equation 1 we get;

$4y+z=13\\\\4y+3=13\\\\4y=13-3\\\\4y = 10\\\\y=\frac{10}{4} = 2.5 \ pounds$

Now also;

$x= 3y\\\\x =3\times2.5 =7.5 \ pounds$

Hence Store used 7.5 pounds of gummy candy, 2.5 pounds of jelly beans, and 3 pounds of hard candy.

6 0

3 years ago