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3 years ago

Write the slope-intercept form of the equation of each line. identify the slopes y-intercept.

Mathematics

1 answer:

s2008m [1.1K]3 years ago

3 0

Answer:

1) -3,1

2)-4,4

3)4,4

4)-3,4

5)-2,-4

6)-4,1

7)-1,4

8)3,-3

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The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 in.2. What are the length and width of the bakin

anzhelika [568]

Answer:

$Length=17.5\ in\\\\Width=11.5\ in$

Step-by-step explanation:

The formula for calculate the Area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

And the formula for calculate the peimeter of a rectangle is:

$P=2l+2w$

Where "l" is the lenght and "w" is the width.

We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

$A=201.25\ in^2\\\\P=58\ in$

<u>The steps are:</u>

1. Solve for the "l" from the formula $A=lw$ :

$A=lw\\\\l=\frac{A}{w}\\\\\l=\frac{201.25}{w}$

2. Substitute $l=\frac{201.25}{w}$ into the formula $P=2l+2w$ and solve for "w":

$58=2(\frac{201.25}{w})+2w\\\\58=\frac{402.5}{w}+2w\\\\58=\frac{402.5+2w^2}{w}\\\\58w=402.5+2w^2\\\\2w^2-58w+402.5=0$

Applying the Quadratic formula $x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$ , we get:

$x=w=\frac{-(-58)\±\sqrt{(-58)^2-4(2)(402.5)}}{2(2)}\\\\w_1=17.5\\\\w_2=11.5$

3. Substitute $w_1=17.5$ into $l=\frac{201.25}{w}$ :

$l=\frac{201.25}{17.5}=11.5$

4. Substitute $w_2=11.5$ into $l=\frac{201.25}{w}$ :

$l=\frac{201.25}{11.5}=17.5$

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

$l=17.5\ in\\\\w=11.5\ in$

8 0

3 years ago

at a restaurant the ratio of kids meal, how manys sold to adult meals sold was 9:2. if there were 81 kids meals sold, how many a

DedPeter [7]

9/2 = 81/a....9 kids meals to 2 adult meals = 81 kids meals to a adult meals
cross multiply
9a = 2(81)
9a = 162
a = 162/9
a = 18...so there were 18 adult meals
ratio is : 81/18

6 0

3 years ago

Help with 39 and 40 plzzzz

hram777 [196]

195.25/(1-0.45) = 355!

7 0

3 years ago

You go to the store and pick out 3 apples for $0.60 each, 2 bananas for $0.50 each, and 1 quart of yogurt for $4.50. At checkout

Stella [2.4K]

Answer:

$6.21

Step-by-step explanation:

1 apple = $0.60

3 apples = $1.80 (Multiply 0.60 by 3)

2 bananas = $1.00 (Multiply 0.50 by 2)

1 quart of yoghurt = $4.50

Add the prices up first:

1.80 + 1.00 + 4.50 = $7.30

7.30 off 15% = $6.21

5 0

3 years ago

Help me with this immediately

BARSIC [14]

Answer:

complementary angles, x=19

Step-by-step explanation:

since the two parts of the angle add up to 90, they are complementary angles.

you can find x by adding them and setting it equal to 90:

3x-2+2x-3 = 90

5x-5 = 90

5x = 95

x = 19

5 0

3 years ago