No solution, one solution, ims y=x+4 y=x+7

Which equation represents the same line as the points in the table

vodomira [7]

Answer:

$y=\frac{-3}{4} x+2$

Step-by-step explanation:

First, we can find the slope using the slope equation and two of the points.

Slope equation:

$m=\frac{y2-y1}{x2-x1}$

I'm going to use the first two points just so I can avoid the fraction... Substitute the x and y values into the equation.

$m=\frac{2-5}{0--4}$

Simplify:

$m=\frac{-3}{4}$

Now that we have the slope, all we need is the y-intercept. Luckily, it gives it to us in the table. The x value of y-intercepts will always be 0. Looking at the table, we see that the point where x=0 is (0,2). Thus, the y-intercept is 2. Your final equation is

$y=\frac{-3}{4} x+2$

7 0

3 years ago

Read 2 more answers

The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.

mestny [16]

Answer:

Area = 370 m²

Cost to paint = £105

Step-by-step explanation:

Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)

Area of a trapezoid = $\frac{1}{2}(b_1+b_2)h$

where $b_1$ and $b_2$ are the parallel sides and h is the distance between these sides.

Area of trapezoid (1) = $\frac{1}{2}(11+12)\times 6$

= 69 m²

Area of the rectangle (2) = Length × Width

= 12 × 15

= 180 m²

Area of the trapezoid (3) = $\frac{1}{2}(12+10)\times 11$

= 121 m²

Now area of the wall = 69 + 180 + 121

= 370 m²

One tin covers the area = 25 m²

Number of tins required to paint the wall = $\frac{\text{Total area}}{\text{Area covered by one tin}}$

= $\frac{370}{25}$

= 14.8

Therefore, number of tins to be purchased = 15

Cost to paint the complete wall = 15 × £7

= £105

8 0

3 years ago

A geologist studying the depths of water in a mountain lake finds that it has changed from 8,300 ft to 8,881 ft over a period of

grigory [225]

Answer:

7.0%

Step-by-step explanation:

Here, we want to get the value of the percentage increase

mathematically, we have the formula for this as follows ;

(new value - old value/old value * 100%

from the question, old value is 8,300 ft and the new value is 8,881 ft

So we have the percentage increase as follows;

(8,881 - 8,300)/8,300 * 100%

= 7.0%

5 0

2 years ago

Urgent please help..

storchak [24]

The answer is 51.3

Explanation:
You’re finding angle Y, so write the SOH CAH TOA. the two sides your are given are the adjacent side to Y and the opposite side so you use tangent. You then get the equation tanY=10/8 Since you’re finding an angle you use inverse tangent so you get y=tan^-1(10/8) and then put that into the calculator!

8 0

2 years ago

A) find the value of 2x+y wehn x =4 and y =3 b) find the value of a^2 + b when a = -2 and b = 5

Reil [10]

Answer:

Solution,

a. Given,

X=4

y=3

Now,

 $2x + y \\ = 2 \times 4 + 3 \\ = 8 + 3 \\ = 11$ 

b. Given,

a=-2

b=5

Now,

 ${a}^{2} + b \\ = {( - 2)}^{2} + 5 \\ = 4 + 5 \\ = 9$ 

hope this helps...

Good luck on your assignment..

6 0

3 years ago