Which of the following is the equation of a line that passes through the points (0,6) and (2,10)?A. y = -2x + 6
B. y = 2x - 6
C. y = 2x + 6
D. y = -2x - 6

Answers

Answer 1

Answer: Given:
(0,6) and (2,10)

a) y = -2x + 6 ; y = -2(2) + 6
y = -2(0) + 6 ; y = -4 + 6
y = 6 ; y = 2

b) y = 2x - 6
y = 2(0) - 6
y = -6

c) y = 2x + 6 ; y = 2(2) + 6
y = 2(0) + 6 ; y = 4 + 6
y = 6 ; y = 10 Choice C. is the correct equation.

Answer 2

Answer:

Answer: option c!

Step-by-step explanation:

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A 12-foot ladder rest against the side of a house. The base of the ladder is 3 feet away from the side of the house. How high above the ground is the top of the ladder? Round to the nearest tenth of a foot.I would love for someone to help me real quick I am in summer school right now and only have 2 hours left and i have to do a lot of retests. So if anyone could help me in the next 5 minutes or so that would be nice.

Thanks

Answers

right triangle
from base of triangle to wall=a
from floor to top of ladder on wall=b
legnth of ladder=c

legnth=12=c
base is 3 feet away=a
use pythagorean theorem
a^2+b^2=c^2
3^2+b^2=12^2
9+b^2=144
subtract 9
b^2=135
square root both sides
b=√135=3√15

the height is 3√15 feet

Emily needs to buy fabric to make curtain panels for her windows. Each panel will be 4 feet long and 1/2 foot wide. Each piece of fabric that she can buy is 4 feet long and 2 feet wide . How many panels can she make from i piece of fabric?

Answers

Each panel is 4 ft long and 1/2 ft wide

The piece of fabric is 4 ft long and 2 ft wide

So she can therefore fit 4 panels into this. We can calculate this by area
4*1/2=2ft^2

4x2=8ft^2

So 4*2 =8

The pieces of fabric are already the correct length, so it is just a matter of how many panels will fit into one piece of fabric. 2/(1/2) = 4, so she can make 4 panels from 1 piece of fabric.

Henry can build 2 birdhouses in 30 minutes. how many birdhouses can he build in 4 hours?

Answers

2 birdhouses in 30 minutes = 4 birdhouses per hr.

for 4 hrs......4 x 4 = 16 birdhouses in 4 hrs

A corn field has an area of 48,000 square. Ft. The width of the field is 300 feet.

Answers

Step-by-step explanation:

A) width × length = area

300 ft × l = 48000 sq ft

B) l = 48000 ÷ 300

l = 160 ft

For which system of equations is (2, 2) a solution? A.–3x + 3y = 0
x + 6y = 10B.–2x + 5y = –6
4x – 2y = 4C.5x – 2y = –6
3x – 4y = 2D.2x + 3y = 10
4x + 5y = 18

Answers

$A.)\n\n-3x + 3y = 0\nx + 6y = 10 \ / *3\n\n-3x + 3y = 0\n3x + 18y = 30\n+------\n21y =30 \ / :21\n \ny=(30)/(21)=(10)/(7)\n\nnot \ true$

$B.)\n\n-2x + 5y = -6 \ / \cdot 2\n4x - 2y = 4\n \n-4x + 10y = -12 \n4x - 2y = 4 \n+-------- \n8y=-8\ /:8\n \ny=-1\n \n not \ true$

$C.\n\n5x - 2y = -6 \ / \cdot 2\n3x - 4y = 2 \n \n 10x - 4y = -12 \n 3x- 4y = 2\n+------\n13x=-11 \ / :13\n \nx=-(11)/(13)\n\n not \ true$

$D.)\n\n2x + 3y = 10\ / \cdot (-2)\n4x + 5y = 18\n\n-4x -6y =-20\n4x + 5y = 18\n+-------\n-y = -2 \ / \cdot (-1)\n \ny=2$

$2x + 3*2 = 10\n \n2x=10-6 \n \n2x=4 \ / :2 \n \n x=2 \n \n true$

$x=2\ \ \ and\ \ \ y=2\n\nA.\ \ \ \ \ \ x + 6y = 2+6\cdot2=2+12=14 \neq 10\n\nB.\ \ \ \ \ -2x + 5y =-2\cdot2+5\cdot2=-4+10=6 \neq -6\n\nC.\ \ \ \ \ \ \ 5x-2y =5\cdot2-2\cdot2=10-4=6 \neq -6\n\nD.\ \ \ \ \ \ \ 2x + 3y =2\cdot2+3\cdot2=4+3= 10\nand\ \ \ \ \ \ 4x + 5y = 4\cdot2+5\cdot2=8+10=18\n\nAns.\ (2,\ 2)\ is\ a\ solution\ for\ system \ D$

Matthew is paid $8.50 for each acre he mows on his grandparent's estate. He mows 50% of an acre in 3/5 of an hour.

Answers

Question

At the rate, how much will Mathew be paid for two hours of moving? Round to the nearest cent.

Answer:

exact answer =$19.83

rounded answer = $20

Step-by-step explanation:

3/5 = 0.6, so in 0.6 hours he can do 50% so in 2 hours that has 3 0.6 so 150% and the remaining time is 0.2 hours thats 1/3 of 0.6 so just divide 50% by 3 you'll get around 16.7% so in 2 hours he finished 166.7%

16.7% = 1/3 of 50% = 8.50 = 8.50/3 = 2.83

so 8.50 + 8.50 + 2.83 =

$19.83

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