MATHEMATICS HIGH SCHOOL

when the base of a ladder is placed 10ft away from the base of a building, the top of the ladder touches the building at 18ft above the ground. About how long is ladder?

Answers

Answer 1
Answer: 35 feet i think i’m not sure

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write the equation of a line that passes through the points (−3, 5) and (2, 10) in slope-intercept form

Answers


Slope-intercept form         y = mx + b

                          where    m------> slope

                                         b-------> y-intercept

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

                                        P1(-3,5)      (x1,y1)

                                        P2(2,10)      (x2,y2)

                                         m= (5-10)/(-3-2)

                                         m= (-5)/(-5)

                                         m=1

               Until now, the equation is y=mx+b

                                                        y=1.x+b

                                                        y=x+b

But, whe can plug  the point   P2(2,10) in y =x+b

                                                     10 =2 + b

                                                   10 - 2 = b

                                                           b= 8

Then, the equation is              y=mx+b

                                                y= x+8   <-------------------Solution

Verification                    P1(-3,5)       y = x+8        5=-3+8     Ok

                                      P2(2,10)      y = x +8      10 = 2+8   Ok

                    

A phone store employee earns a salary of $450 per week plus 10% commission on her weekly sales.what function rule models the employers weekly earnings?

if the employee earned $570 in a week, what was the amount of her sales for that week?

Answers

Answer:

Weekly earning of employee, E(w) is given by 450+0.1w, where w is the weekly sales.

Weekly sales for that week = 1200 $

Step-by-step explanation:

A phone store employee earns a salary of $450 per week plus 10% commission on her weekly sales.

Let w be the  weekly sales, the weekly earning of employee, E(w) is given by

         E(w)=450+(10)/(100)* w=450+0.1w

So

     Weekly earning of employee, E(w) is given by 450+0.1w, where w is the weekly sales.

Now we need to find what was the amount of her sales for that week, if she earned 570 $

That is

                     570 = 450+0.1w

                     0.1 w = 570 - 450 = 120

                           w = 1200 $

Weekly sales = 1200 $
If w = earnings that week, and s = sales, w - 450 = s/10, or 10(w - 450) = s, simplified as 10w - 4,500 = s If the employee made $570 in one week, then w = 570. 10(570) - 4,500 = s, simplified as 5,700 - 4,500 = s, simplified as 1,200 = s. So the employee made 1,200 sales that week.

Bryan is buying notebooks and pens at an office supply store. Notebooks cost $3.59 and pens cost $1.49. He can spend up to $13 on these items. Let x represent the number of notebooks. Let y represent the number of pens. Enter an inequality that represents the situation.

Answers

Answer:if the notebooks cost 3.59 and pens cost 1.49, with x representing the notebooks and y representing the number of pens and an amount of $13, the inequality would be written as 3.59x+1.49y13

Step-by-step explanation:

What is 1.8r+9=-5.7r-6

Answers

You could do:
1 subtract 9 on both sides of the equation, 1.8r=-5.7r-15
2 then add 5.7r on both sides as well, 7.5r=15
3 divide 7.5 on each side, r=2.
Add 6 to booth sides.

1.8r+15=5.7r
Subtract 1.8 from both sides
15=3.9r
Divide 15 by 3.9
3.8=r

Find the greatest common factor (GCF) for 72, 36, and 24.

Answers

12

Working;
12 is a common factor for all the terms.

Hayden graphed the following linear function on an (x,y) coordinat plane. g(x) = 3x -4.5 What is the y-intercept of the graph of this function? Write the numerical value.​

Answers

-4.5 if you were to graph the linear function.
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