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s2008m [1.1K]
3 years ago
14

In slope intercept form what is the equation of the line passing through (6,9) and perpendicular to the line joining (6,2) and (

2,8)
Mathematics
1 answer:
denpristay [2]3 years ago
7 0

To find the slope of (6,2) and (2,8), you do 2-8/6-2 which is -3/2

The line perpendicular to this is 2/3

Since the line passes through the point (6,9), you can find that the y intercept is (0,5)

So the slope intercept form of this equation is 2/3x +5

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Jade wants to buy a $200,000 term life insurance policy. She is 34 years old. Using the premium table, what is her annual premiu
AnnZ [28]

Premium rates are usually for  premium per fixed face value. Jade's annual premium for a 10 year policy is given by Option b: $1,202

<h3>How to calculate the total annual premium for $x ?</h3>

If its given that the annual premium is $p per $y face value, then we can calculate the annual premium for $1 face value and then use it to calculate annual premium for $x.

Using proportions, we get:

\rm \$y \: face \: value : \$p \: annual \: premiun\\\\\rm \$1 \: face \: value : \$\dfrac{p}{y} \: annual \: premiun\\\\\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premiun\\

For given case, from the tables, we see that for age 34, and 10 year life insurance for female gender , there is annual premium of 6.01 per $1000 face value.
Thus, we have p = 6.01, y = 1000

Since Jade wants to buy Life insurance for $200,000, thus, x = $200,000

Putting it in the above derived formula, we get:

\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premium\\\\\rm \$200000\:face\: value : \$\dfrac{6.01 \times 200000}{1000} \: annual \: premium\\ = \$1202 \: annual \: premiun

Thus, Jade's annual premium for a 10 year policy is given by Option b: $1,202

Learn more about calculating annual premium cost here:

brainly.com/question/13168988

4 0
3 years ago
Given an integer, how do you find its opposite?
iren2701 [21]
Given a integer depending on whether or not it is positive or negative it is always opposite of what it is. For example the opposite of 7 is -7
5 0
3 years ago
Solve the system by the elimination method. 3x - 2y - 7 = 0 5x + y - 3 = 0 To eliminate y, the LCM is 2. Which of the following
Tresset [83]
Next time, please share your system of linear equations by typing only one equation per line:

<span>3x - 2y - 7 = 0 5x + y - 3 = 0  NO

</span><span>3x - 2y - 7 = 0
5x + y - 3 = 0                          YES

Mult. the 2nd equation by 2 so as to obtain 2y, which will be cancelled out by  - 2y in the first equation:

</span><span>  3x - 2y - 7 = 0
2(5x + y - 3 = 0)

Then:

  3x - 2y - 7 = 0
10x +2y - 6 = 0
----------------------
13x - 13 = 0, so that x = 1.  Find y by subbing 1 for x in either of the 2 given equations.</span>
5 0
3 years ago
Read 2 more answers
Please answer the question in the photo:
Vika [28.1K]

Answer:

\fbox{8x+36}

Step-by-step explanation:

1. Use the distributive property to write the problem without parentheses. The distributive property says that you can multiply a number next to parentheses by all the numbers inside parentheses. The picture below explains.

4(2x+9)=\\\\(4*2x)+(4*9)=\\\\4(2x+9)= 8x+36

Therefore, your answer is

\fbox{8x+36}

6 0
3 years ago
If E F = 7 , A C = 16 , and A F = 9
Vilka [71]

Answers:

CB = 14

GF = 8

FB = 9

EF is parallel to CB

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

Explanations:

Points E and F are midpoints of their respective sides. They form the midsegment EF. Because EF is a midsegment, A midsegment is half the length of its parallel counterpart, so CB is two times longer than EF. If EF is 7 units long, then CB = 2*EF = 2*7 = 14

For similar reasons, GF is parallel to AC. If AC = 16, then half of that is GF = (1/2)*AC = 0.5*16 = 8.

FB = FA = 9 as these segments have the same single tickmark to indicate they are the same length

EF is parallel to CB because EF is a midsegment, and this is one of the properties of being a midsegment. We can show that quadrilateral EGBF is a parallelogram to help prove this.

8 0
3 years ago
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