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FinnZ [79.3K]
3 years ago
9

the points (18,21) and (36,42) form a proportional relationship. find the slope of the line through points. Then use the slope t

o graph the line.​
Mathematics
1 answer:
Contact [7]3 years ago
4 0

Answer:

-20/-8

Step-by-step explanation:

y1 - y2

_____  (over)

x1- x2

21-41

____

18-26

-20/-8 is the slope

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ser-zykov [4K]

3^{x + 2} - 3^{x} = 3^{x}* 3^{2} - 3^{x} = 9(3^{x}) - 1(3^{x}) = 8(3^{x})

3^{x + 2} - 3^{x} = \frac{8}{9}

⇒ 8(3^{x}) = \frac{8}{9}

⇒ 3^{x} = \frac{1}{9}   <em>multiplied both sides by 8</em>

⇒3^{x} = \frac{1}{3^{2} }

⇒ 3^{x} = 3⁻²

⇒ x = -2

Answer: x = -2

6 0
3 years ago
How can I find the exact distance between the points(√7,-√2)and (4√7,5√2)
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\bf d=\sqrt{[4\sqrt{7}-\sqrt{7}]^2~+~[5\sqrt{2}-(-\sqrt{2})]^2}&#10;\\\\\\&#10;d=\sqrt{(4\sqrt{7}-\sqrt{7})^2~+~(5\sqrt{2}+\sqrt{2})^2}\implies d=\sqrt{(3\sqrt{7})^2~+~(6\sqrt{2})^2}&#10;\\\\\\&#10;d=\sqrt{3^2\cdot 7~~+~~6^2\cdot 2}\implies d=\sqrt{63+72}\implies d=\sqrt{135}&#10;\\\\\\&#10;\begin{cases}&#10;135=5\cdot 3\cdot 3\cdot 3\\&#10;\qquad 5\cdot 3^2\cdot 3\\&#10;\qquad 15\cdot 3^2&#10;\end{cases}\implies d=\sqrt{15\cdot 3^2}\implies d=3\sqrt{15}
8 0
3 years ago
Carlotta is making cookies for a party. Her recipe calls for 2 eggs and 1 3/4 cups of flour. If Carlotta makes a large batch of
yanalaym [24]
Well we know that every 2 eggs requir 1 and 3/4 of flour so the easiest thing to do here (for me at least) is to round the fraction to the nearest whole number which in this case will be 1. Now that that's done we can say every 2 eggs calls for 2 cups of flour. Now all you need to do is multiply 2 by 9 to get 18 then put that in fraction form it'll be 17 and 3/4 cups of flour. I hope this helps!
7 0
3 years ago
What is 4% of the number 250
Alik [6]
The answer should be 10 I think, because if u multiply 250 * 4% u get 10.

Hope I'm right.
4 0
4 years ago
Read 2 more answers
Credit card cash advance<br> borrow: $300<br> rate: 18% per year<br> time: 6 months-,5<br> 300<br> 6
olga nikolaevna [1]

Answer:

Assuming the question is how much interest you will pay in the given time frame with the given terms.

Step-by-step explanation:

Borrowed $300

18% per yr = 18/12 = 1.5% per month

You borrowed for 6 months so you will end up paying 1.5%*6 =9% in interest

$300*(9% or 0.09) = $27 in interest paid + $300 in principal paid if paid off in 6 months.

<u>Total $327.</u>

<u />

<em>If this was an economics class you would also have to factor in the depreciation of the principal amount month to month with minimum payments but I am guessing this is just a basic question so the above answer is correct enough.</em>

7 0
2 years ago
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