Which of these points lies on the line described by the equation below?y - 4 = -2(x - 6)

A. (-6, -4) B. (-4,-6) C. (6,4) D. (4,6)

Answers

Answer 1
Answer:

Answer:

Option C is correct.i.e., ( 6 , 4 ) lie on given line.

Step-by-step explanation:

Given Equation, y - 4 = -2 ( x - 6 )

Option A:

From given point, x = -6 and y = -4

LHS = y - 4 = -4 - 4 = -8

RHS = -2 ( x - 6 ) = -2 ( -6 - 6 ) = -2 × ( -12 ) = 24

LHS ≠ RHS

⇒ This point does not lie on given line.

Option B:

From given point, x = -4 and y = -6

LHS = y - 4 = -6 - 4 = -10

RHS = -2 ( x - 6 ) = -2 ( -4 - 6 ) = -2 × ( -10 ) = 20

LHS ≠ RHS

⇒ This point does not lie on given line.

Option C:

From given point, x = 6 and y = 4

LHS = y - 4 = 4 - 4 = 0

RHS = -2 ( x - 6 ) = -2 ( 6 - 6 ) = -2 × ( 0 ) = 0

LHS = RHS

⇒ This point lie on given line.

Option D:

From given point, x = 4 and y = 6

LHS = y - 4 = 6 - 4 = 2

RHS = -2 ( x - 6 ) = -2 ( 4 - 6 ) = -2 × ( -2 ) = 4

LHS ≠ RHS

⇒ This point does not lie on given line.

Therefore, Option C is correct.i.e., ( 6 , 4 ) lie on given line.

Answer 2
Answer: c.) (6,4)...................

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What is the length of the diagonal for the given rectangular prism to the nearest whole unit?the unit is the length=6, width=5, height=9

A. 8 cm
B.10 cm
C.11 cm
D.12 cm

1.what is the slant height for the given pyramid to the nearest whole unit.

pyramid base= 12 cm
height=8 cm
A.5 cm
B.9 cm
C.14 cm
D.10 cm

Answers

length of the diagonal : D. 12 cm

The space diagonal of a rectangular prism is derived using the following formula:

d = √(l² + w² + h²)

l = 6; w = 5; h = 9
d = √6² + 5² + 9²
d = √36 + 25 + 81
d = √142
d = 11.916 ⇒ 12 cm

slant height of the given pyramid : 

l = slant height
h = height
a = base radius

l = √h² + a²

i'm assuming that the pyramid base is also the base radius
l = √8² + 12²
l = √64 + 144
l = √208
I = 14.42 ⇒ 14cm

in the event that the pyramid base is not the radius, then 12/2; 6cm
l = √8² + 6²
l = √64 + 36
l = √100
l = 10 cm

Ten pounds of rice are distributed equally into 6 bags to give out at the food bank. How many pounds of rice are in each bag?

Answers

1.6 lbs. 10/6=1.6 so 1.6 pounds in each bag.. hope this helps
10\6 equals 1.6 b\c you can take the zero out of ten then put the point between the 1 and 6 and you got your answer

Is (-1, 2) a solution?

Answers

Answer:

It can be an answer to many things.

Step-by-step explanation:

There needs to be some sort of picture or other item to explain what is going on.

If a person has less small intestine villi will they be under weight or over weight?

Answers

underweight if the person has less villi in their small intestine then the area will not be large

cory brings five 1 gallon jug of juice ti serve during aren't night at his school.if the paper cups he is using for drinks can hold 8 fluid ounces how many drinks can cory serve for drinks parent night?

Answers

the answer is 16 because there are 128 ounces in one gallon then you divide that by eight to get 16

Using the numbers 8, 6, 4, and 2 write an expression that equals 7.

Answers

Using all numbers:

1. (84:2):6=7; {here 84:2=42, 42:6=7}

2. 8-(6-4):2=7; {here 6-4=2, 2:2=1, 8-1=7}

3. (8:2):4+6=7; {here 8:2=4, 4:4=1, 1+6=7}

4. (8:4):2+6; {here 8:4=2, 2:2=1, 1+6=7}

Using not all numbers:

1. (8+6):2=7; {here 8+6=14, 14:2=7}

2. 6:2+4=7; {here 6:2=3, 3+4=7}

3. 42:6=7;

4. 28:4=7.