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2 years ago

This graph represents the design of a child's slide. What is the slope of the slide

Mathematics

1 answer:

iren [92.7K]2 years ago

7 0

Answer:

The slope is 1/2

Step-by-step explanation:

To get the slope, we select any two points on the line and apply the slope formula

The points are;

(5,4) and (9,6)

The formula for the slope is;

m = (y2-y1)/(x2-x1)

m = (6-4)/(9-5) = 2/4 = 1/2

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How can you tell if two equations for parallel lines or perpendicular lines. please explain?

kicyunya [14]

To find out if they are parallel we need to see if the gradient is the same, to do this we need to get y in terms of x:
assuming the first equation is x+y+7=0
y=-x-7
and
y=x-3
The gradient is the coefficient of x (the number infront of x)
For equation 1 the gradient is -1, and for number 2 it is 1, therefore they are not parallel.
However to check if they are perpendicular we need to see if their gradients multiply to equal -1.
-1*1=-1 therefore they are perpendicular

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2 years ago

Read 2 more answers

The product of consecutive odd integers is 575. what is the largest integer? 25 23 525 need more information

hichkok12 [17]

sqrt(575) = 23.979

so 23 is one number

575/23 = 25

the two numbers would be 23 * 25

25 is the largest one

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3 years ago

Find the gradient (m) and y-intercept (c) of the equation y =-2/3x+1/3

zepelin [54]

he equation of a line is written as y=mx+b where m is the slope and b is the

y -intercept, Thus,m=23 And the y -intercept,b=1

4 0

2 years ago

PLEASE HELP THIS IS MY LAST QUSTION OF THE DAY!!! :) thanks in advanced

notsponge [240]

So using standard form you convert the equation to 5x - 2y = -10 then use slope m of a line of the form Ax + By = C equals negative a over b. It would be a = 5 b = -2 m = -5/-2 m = 5/2. Have a good day the answer is 5/2

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3 years ago

A waitress sold 11 ribeye steak dinners and 12 grilled salmon dinners, totaling $560.63 on a particular day. Another day she s

Eduardwww [97]

The cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20

Solution:

Let "a" be the cost of each ribeye steak dinners

Let "b" be the cost of each grilled salmon dinners

A waitress sold 11 ribeye steak dinners and 12 grilled salmon dinners, totaling $560.63 on a particular day

Thus we frame a equation as:

11 x cost of each ribeye steak dinners + 12 x cost of each grilled salmon dinners = 560.63

$11 \times a + 12 \times b = 560.63$

11a + 12b = 560.63 -------- eqn 1

Another day she sold 16 ribeye steak dinners and 6 grilled salmon dinners, totaling $584.46

Thus we frame a equation as:

16 x cost of each ribeye steak dinners + 6 x cost of each grilled salmon dinners = 584.46

$16 \times a + 6 \times b = 584.46$

16a + 6b = 584.46 ------------ eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 2 by 2

32a + 12b = 1168.92 ------- eqn 3

Subtract eqn 1 from eqn 3

32a + 12b = 1168.92

11a + 12b = 560.63

( - ) ----------------

21a = 1168.92 - 560.63

21a = 608.29

Divide both sides by 21

$a = 28.96 \approx 29$

Substitute a = 29 in eqn 1

11(29) + 12b = 560.63

319 + 12b = 560.63

12b = 560.63 - 319

12b = 214.63

Divide both sides by 12

$b = 20.13 \approx 20$

Thus cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20

5 0

3 years ago