The equation of line CD is y = 3x − 3. Write an equation of a line perpendicular to line CD in slope-intercept form that contains point (3, 1).

Answers

Answer 1
Answer: y = 3x - 3....slope here is 3. A perpendicular line will contain a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -1/3.

y = mx + b
slope(m) = -1/3
(3,1)....x = 1 and y = 3
now we sub
3 = -1/3(1) + b
3 = -1/3 + b
3 + 1/3 = b
9/3 + 1/3 = b
10/3 = b

so ur perpendicular line is : y = -1/3x + 10/3

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Find the distance between the points (-3, 5) and (6, -7)

Answers

Hello,

6 - (-3) = 9

-7 - 5 = -12

\sqrt{9^(2) +(-12)^(2) }  = √(81 + 144)  = √(225)  = \sqrt{15^(2) }  = 15

Frank, Mary and Seth shared some sweets in the ratio 4:5:7.Seth got 18 more sweets than Frank.

Work out the total number of sweets they shared.

Answers

The ratio of the sweets shared: F : M : S : : 4 : 5 : 7 The total of the ratios: 16 The ratio difference (3) between S and F equals 18 sweets. Hence the total number of sweets they shared is 96.

how many pounds of grain is an animal in the united states that is domesticated for meat fed for each pound of meat it produces?

Answers

Answer: 20 pounds

Step-by-step explanation:

What is the surface area of this rectangular pyramid?3 cm
D
4 cm
4 cm
square centimeters
Submit
??

Answers

Pretty sure it’s 42.5 cm.

(9x3 - 2x2 - 3) - (4x3 - 9x + 6)

Answers

Answer: 22

Step-by-step explanation:

The standard normal curve shown below models the population distribution of a random variable. What proportion of the values in the population does not lie between the two z-scores indicated on the diagram?z=-1.25
z=0.80

Answers

Answer:

0.3175

Step-by-step explanation:

z=-1.25 from table is .1056

z=.80 from table is .7881

subtract from each other =.6825

Subtract from the whole is 1-.6825=0.3175