Teacher:Find the Slope and Y-interce
1)
x + 4y = 32
slope =
y-intercept =

Answers

Answer 1
Answer:

Answer:

Slope = -1/4

y-intercept = 8

Step-by-step explanation:

Given a line equation, x + 4y = 32

To get the slope and y-intercept from this equation, we shall represent it in the slope form of a line equation

The slope form of a line equation is given as

y = mx + c

Where;

m = slope

c = y-intercept

Step 1

x + 4y = 32

Subtract x from both sides of the equation

x + 4y - x = -x + 32

4y = -x + 32

Step 2

Divide both sides by 4 to make y subject

4y/4 = -x/4 + 32/4

y = -x/4 + 8

y = (-1/4)x + 8

This equation corresponds to

y = mx + c

m = -1/4

c = 8

Therefore, the slope, m = -1/4

The y-intercept, c = 8

Answer 2
Answer: Slope m= -1/4
Intercept c=8

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A candy company packages caramel into containers that hold 32 fluid ounces. In the last batch, 1,848 fluid ounces of caramel were made. How many containers were needed for this batch?

If a product is normally retails for $40 and we give you a six dollar discount what percentage is your discount are we giving you

Answers

Answer:

The discount is 15% because 6/40 = 0.15 and a percent is multiplied by 100 so the answer is 15%.

Final answer:

To find the percentage discount, subtract the discount amount from the original price and divide by the original price, then multiply by 100.

Explanation:

To find the percentage discount, we need to calculate the amount of the discount first. The discount is given as $6, so we subtract $6 from the original price of $40 to get $34. To find the percentage, we divide the discount amount by the original price and multiply by 100. In this case, the discount percentage would be (6/40) * 100 = 15%.

Learn more about Percentage Discount here:

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The pair of figures is similar. Find X. Round to the nearest 10th if necessary.

Answers

Answer:

x = 9.775 cm ≈ 9.8 cm

Step-by-step explanation:

If traingles are similar, then corresponding sides are in proportion:

(x)/(17)=(23)/(40)              cross multiply

40x=(17)(23)

40x=391        divide both sides by 40

x=9.775\ cm

Answer:

9.7 rounded to 10

Step-by-step explanation:

I'm pretty sure 10 would be the answer, because since they are similar triangle you would cross multiply. So you would do (23)/(x) =(40)/(17), you would the cross multiply 23×17 and 40×X. You would then have 40X=391, so you would divide 391÷40, so X=9.7 or 10

20 % of 2 is equal to

A. 20
B. 4
C. 0.4
D. 0.04

Answers

i think the answer is 0.4

Abigail redecorates her house. A scale drawing of her house can be seen below. If each 6 cm on the scale drawing equals 12 ft, what are the actual dimensions of Abigail's house. The scale numbers are 10 cm, 9 cm, 8 cm, 9 cm, and 7 cm.

Answers

6 cm = 12 ft   * I noticed that the scale drawing is 1/2 of the actual dimension of Abigail's house.
So, every scale must be multiplied by 2 to get the actual dimensions.

10 cm = 20 ft
  9 cm = 18 ft
  8 cm = 16 ft
  9 cm = 18 ft
  7 cm = 14 ft

1.(1 pt)


Which pair is a base and corresponding height for the triangle?





A.


b = 16 units and h = 9.6 units


B.


b = 20 units and h = 16 units


C.


b = 20 units and h = 9.6 units


D.


b = 20 units and h = 12 units



2.

(1 pt)


What is the area of the triangle?





A.


208 in2


B.


192 in2


C.


104 in2


D.


96 in2


3.

(1 pt)
What is the area of the triangle?




A.


42.14 cm²


B.


35.28 cm²


C.


21.07 cm²


D.


17.64 cm²


4.

(1 pt)


The county animal park is shaped like a triangle. Two perpendicular sides of the park measure 2.3 miles and 3.4 miles.

What is the area of the animal park?



A.


3.91 mi²


B.


5.7 mi²


C.


7.82 mi²


D.


11.4 mi²

5.

(1 pt)


What is the area of a triangle with a base of 4.6 cm and a height of 7.8 cm?



A.


12.4 cm²


B.


17.94 cm²


C.


24.8 cm²


D.


35.88 cm²

Answers

1. C base is 20 height is 9.6
2. D 96; A = b*h*1/2
3. i can't view the pic for 3, sorry
4. C, 7.82
5. B, 17.94

Complete the square to factor X^2 +10X=-8

Answers

Answer: x=√(17)-5 and x = -√(17)-5

Step-by-step explanation:

Alright, lets get started.

The given equation is :

x^(2) +10x = -8

Adding 8 in both sides, it will become

x^(2) +10x + 8 = -8 +8

x^(2) +10x + 8 = 0

To make it perfect square, we need to add 25 and subtract 25

x^(2) +10x + 8 +25-25= 0

x^2+10x+25+8-25=0

(x+5)^2+8-25=0

(x+5)^2-17=0

Adding 17 in both sides  

(x+5)^2=17  

taking square root

x+5=√(17)

So,

x=√(17)-5 and x = -√(17)-5  .. Answer

Hope it will help :)

Answer:

Step-by-step explanation:

X² + 10x = -8

add to both side the square of half the coefficient of X which is 5²

X² + 10x + (10/2)² = -8 + (10/2)²

X² + 5² = -8 + 5²

( X + 5 )² = -8 + 25

(X + 5)² = 17

X + 5 = +- √17

Therefore, X = -5 +- √17.

X = -5 + √17 , -5 - √17.