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Marrrta [24]
3 years ago
7

Find the x- and y- intercepts of 4x +5y = 20. Show your work.

Mathematics
1 answer:
Vinil7 [7]3 years ago
5 0
<span>x- intercept
</span><span>4x  = 20
  x = 5
(5,0)
</span>
y- intercept
<span>5y = 20
 y = 4

(0,4)
</span>
answer
x- intercept (5,0)
y- intercept (0,4)

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Lincoln Middle School has a total of $200 to spend on notebooks and tablets for the school board meeting. Notebooks cost $7 each
kicyunya [14]

Answer:

The answer is the option C

The graph in the attached figure

Step-by-step explanation:

Let

x------> the number of notebooks

y-----> the number of tablets

we know that

The inequality that represent the situation is equal to

7x+5y\leq 200  

Using a graphing tool

see the attached figure

The solution is the triangular shaded area


7 0
3 years ago
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What is the value of 10P10
storchak [24]
ONO THAT NOT THE ANSWER THIS IS [3,628,800] 10P10=10, AND 0!= 10 TIMES 9 TIMES 8 TIMES 7 TIMES 6 TIMES 5 TIMES 4 TIMES 3 TIMES 2 TIMES 1= 3,628,800.
7 0
3 years ago
What is an equation in point-slope form for the line perpendicular to y = 7x + 14 that contains (3, –7)?
umka21 [38]

The equation of the perpendicular line is y + 7 = -1/7(x - 3)

<h3>How to determine the line equation?</h3>

The equation is given as

y = 7x + 14

Also, from the question

The point is given as

Point = (3, -7)

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 7

This means that the slope of y = 7x + 14  is 7

So, we have

m = 7

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the other line is -1/7

The equation of the perpendicular lines is then calculated as

y = m(x - x₁) +y₁

Where

m = -1/7

(x₁, y₁) = (3, -7)

So, we have

y = -1/7(x - 3) - 7

Evaluate

y = -1/7(x - 3) - 7

Add 7 to both sides

y + 7 = -1/7(x - 3)

Hence, the perpendicular line has an equation of y + 7 = -1/7(x - 3)

Read more about linear equations at

brainly.com/question/4074386

#SPJ1

8 0
1 year ago
63 miles in 270 minutes, what is the average speed in miles per hour
bearhunter [10]

Answer:

14 miles per hour

Step-by-step explanation:

Convert 270 minutes to hours first= 4.5hrs

Then divide 63 by 4.5= 14

5 0
3 years ago
PLEASE HELP ITS URGENT!!<br> Given: △ABC is isosceles; 1 ≅ 3<br> Prove: AB || CD
Dmitrij [34]

Answer:

AB ║ CD. (Proved)

Step-by-step explanation:

See the attached diagram of the triangle.

It is given that Δ ACD is an isosceles triangle.

Therefore, AC = AD and ∠ ACD = ∠ ADC, ⇒ ∠ 3 = ∠ 4 .......... (1)

Again, given that ∠ 1 = ∠ 3 ........... (2)

Now, from equations (1) and (2) we can write, ∠ 1 = ∠ 4

Now, AB and CD are two straight lines and AD is the transverse line and hence, ∠ 1 and ∠ 4 are alternate angles that are equal.

Therefore, AB and CD are parallel straight lines and AB ║ CD. (Proved)

4 0
3 years ago
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