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Gala2k [10]
3 years ago
11

1. Write an equation in point-slope form of the line that that passes through the point (4,-5) and has a

Mathematics
1 answer:
Aleks04 [339]3 years ago
7 0

Answer:

y + 5 = (3/2)(x - 4)

Step-by-step explanation:

The point-slope formula is y - k = m(x - h).  We get h and k from the given point:  h = 4 and k = -5, and m from the given slope:  3/2.  Then we have:

y + 5 = (3/2)(x - 4)

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The sale price of a drum kit in the UK is 950 Pounds + VAT (Value Added Tax), where VAT is a sales tax of 20%. After some negoti
Darya [45]

Answer:

Step-by-step explanation:

Sale price = 950 pounds + vat

Vat = 20%

Value vat = 20/10 × 950 = 190 pounds.

Since the vat is calculated before a discount is applied, it means that the amount on which the discount was applied is

950 pounds

The value of the discount would be

12/100 × 950 = 114 pounds

The amount to be paid including vat is

(950 - 114) + 190 = 1026 pounds

6 0
3 years ago
Simplify 7^-5/6*7^-7/6
DochEvi [55]

So the rule with multiplying exponents of the same base is x^m*x^n=x^{m+n} . Apply this rule here:

7^{-\frac{5}{6}}*7^{-\frac{7}{6}}=7^{-\frac{5}{6}+{-\frac{7}{6}}}=7^{-\frac{12}{6}}=7^{-2}

Next, the rule with converting negative exponents into positive ones is x^{-m}=\frac{1}{x^m} . Apply this rule here:

7^{-2}=\frac{1}{7^2}=\frac{1}{49}

<u>Your final answer is 1/49.</u>

<h2>------------------------------------------------</h2>

So an additional rule when it comes to exponents is x^{\frac{m}{n}}=\sqrt[n]{x^m}

In this case, your fractional exponent, x^9/7, would be converted to \sqrt[7]{x^9} . However, I had just realized you can further expand this.

Remember the rule I had mentioned earlier about multiplying exponents of the same base? Well, you can apply it here:

\sqrt[7]{x^9}=\sqrt[7]{x^7*x^2}=x\sqrt[7]{x^2}

Your final answer would be x\sqrt[7]{x^2}

3 0
3 years ago
How many dimensions does a point have
vladimir2022 [97]
Point has no dimensions !!
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Answer:

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Step-by-step explanation:

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Answer:

A. 0.2, 0.25, 0.2

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