We know that

a) the slope-intercept form of the line---------------> y=mx+b
b) if two lines are parallel both have the same slope
then
passes through the point (1,0) and is parallel to x-y=7

Step 1
Find the slope
x-y=7------------> y=x-7------------> m=1

Step 2
Find the slope-intercept form of the line---> y=mx+b
point (1,0) m=1
0=(1)*(1)+b------> b=-1
y=(1)*x-1--------> y=x-1

the answer is
y=x-1

using a graph tool
see the attached figure

8 0

3 years ago

Read 2 more answers

Hillary wrote a series of numerical expressions to generate a number pattern 3+1,3+2,3+3 which table represents inputs and outpu

loris [4]

Answer:

a) input 9,10,11

output 12,13,14

Step-by-step explanation:

If we look at the pattern, number 3 is added to the consecutive input numbers 1, 2 and 3 to generate a set of output numbers.

Clearly, option (a) follows this rule. Number 3 is added to the consecutive input numbers 9, 10 and 11 to produce 12, 13 and 14.

In option (b), 4 is added to the input numbers.

In option (c), 2 is added to the input numbers and

in option (d), 3 is multiplied to the input numbers.

Hence, the correct option is (a).

8 0

3 years ago

A fish tank in the shape of a cuboid has length 60cm, depth 30 cm and height 30 cm.

Elena-2011 [213]

Answer:

54 liters

Step-by-step explanation:

the right term to describe the capacity is volume

volume = height × length × width

(depth and height have the same meaning)

volume = 30 × 30 × 60

volume = 54000 cm³

1 liter = 1 dm³

54000 cm³ = 54000÷ 1000

(why divided by 1000 not 10? because its cm³ which means cm × cm × cm => 10 × 10 × 10)

54000 cm³ = 54 dm³

then

54 dm³ = 54 liters

5 0

2 years ago

Write the expression 5x+2x^2-7+2x^3

avanturin [10]

2x^3+2x^2+5x-7, That would be the answer.

3 0

3 years ago