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ratelena [41]
3 years ago
10

10 POINTSSS!!!! Graph. y−5=43(x−5)

Mathematics
2 answers:
Nataliya [291]3 years ago
7 0
From the slope of the line, we see that 43 is a very steep slope, so the line is a near vertical line.
Also, from the point-slope form of the graph, we know that the line passes through (5,5) .
Note: (y-y1)=m(x-x1) passes through (x1,y1).
So the result is the line shown in the attached diagram, with no surprises.

nevsk [136]3 years ago
5 0

Solution:

The given equation of line is :

→  y- 5 = 43 (x -5)

= y -5 = 43 x - 43 × 5 → [Using distributive property]

= y- 5 = 43 x - 215

→ 43 x - y - 215 +5 =0

→ 43 x - y -210 =0

→ y = 43 x - 210

As the slope of line→y = m x + c is ,43.

Or , tan A = 43, where A is the angle made by line in positive direction of X axis.

And Y intercept = -210

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5,5,3 Is this a triangle? Explain.
Vlad1618 [11]

Problem 1

Answer: <u>Yes</u> a triangle can be formed with side lengths 5,5,3

--------------------

Explanation:

Take any two sides and add them up. If we get a sum larger than the third side, then a triangle is possible. This is the triangle inequality theorem.

5+5 = 10 is larger than 3

5+3 = 8 is larger than 5

This shows a triangle is possible. The triangle is isosceles because two sides are the same length.

==========================================================

Problem 2

Answer: <u>Yes</u> a triangle can be formed with side lengths 8,8,8

--------------------

Explanation:

This triangle is equilateral because all sides are the same length.

Take any two sides, add them up, and you'll find the sum is larger than the third side.

==========================================================

Problem 3

Answer: <u>No</u> a triangle cannot be formed with sides 7,8,15

--------------------

Explanation:

Yes it is true that

8+15 = 23 is larger than 7

7+15 = 22 is larger than 8

but

7+8 = 15 is not larger than 15

So this means a triangle is not possible.

Imagine you had 3 strips of paper that were 7 inches, 8 inches and 15 inches long. The 7 and 8 inch strips add to 15 inches, but those two smaller strips only form a straight line. We cannot pull them so a triangle forms. If we did, then the third side would be smaller than 15 inches. This is one way to get hands on to see why the triangle inequality theorem works.

==========================================================

Problem 4

Answer: <u>Yes</u> a triangle is possible with side lengths 5,6,10

--------------------

Explanation:

Same idea as before. We can take any two sides, add them, and get a sum larger than the third side. A triangle is possible.

  • 5+6 = 11 is larger than 10
  • 6+10 = 16 is larger than 5
  • 5+10 = 15 is larger than 6
4 0
3 years ago
A new company is in the process of evaluating its customer service. The company offers two types of sales: (1) Internet sales an
iragen [17]

Answer:

H_A: P_{\text{Internet}}-P_{\text{Store}} > 0.10

Step-by-step explanation:

We are given the following in the question:

Let P_{\text{Internet}} be the proportion of the internet sales and P_{\text{Store}} be the proportion of the store sale.

Hypothesis:

We have to conduct a hypothesis to check that the Internet sales are more than 10 percent higher than store sales.

Thus, we can design the null and alternative hypothesis as:

H_{0}: P_{\text{Internet}}-P_{\text{Store}}\leq 0.10\\H_A: P_{\text{Internet}}-P_{\text{Store}} > 0.10

Alternate Hypothesis:

The alternate hypothesis states that the proportion of the internet sales is greater than the proportion of store sales by 10 percent.

3 0
4 years ago
Found out g<br> 2(g - 15) = -26 <br> Please help
posledela

Answer: g=2

Step-by-step explanation:

To solve this exercise you need to remember the following properties:

1. The Distributive property states that:

a(b+c)=ab+ac\\\\a(b-c)=ab-ac

2. The Addition property of Equality statest that:

If a=b, then a+c=b+c

3. The Subtraction property of Equality statest that:

If a=b, then a-c=b-c

4. The Division property of Equality statest that:

If a=b, then \frac{a}{c}=\frac{b}{c}

5. The Multiplication property of Equality statest that:

If a=b, then a*c=b*c

Given the equation:

2(g - 15) = -26

You must solve for "g" in order to find its value:

- Apply the Distributive property:

2g - 30= -26

- Apply the Addition property of Equality adding 30 to both sides of the equation:

2g - 30+30= -26+30\\\\2g=4

- Apply the  Division property of Equality dividing both sides by 2:

\frac{2g}{2}=\frac{4}{2}\\\\g=2

4 0
3 years ago
If PQRS is a square and TR = 17, find each missing value. Round to the nearest tenth.
mestny [16]

<h3>\huge\mathfrak\pink{Answer}</h3><h3>The area of rhombus PQRS is 120 m. </h3>

Step-by-step explanation:

<h3>correct me if I'm wrong.</h3>

\huge\mathfrak\red{Hope it's help}

8 0
3 years ago
Please need this by the 16th
Pani-rosa [81]

Answer:

60

Step-by-step explanation:

12 can be broken into 3*4

15 = 5*3

The least  factors are

3*4*5 = 60

The lowest common denominator is 60

7 0
3 years ago
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