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2 years ago

Dave ran 3.52 miles in the same time

Mathematics

1 answer:

Lisa [10]2 years ago

8 0

Subtract 3.52 - 2.44= 1.08 miles

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Are these parallel, perpendicular, or neither?

Elina [12.6K]

Answer: I think it’s neither

Explanation:

The line is parallel unless the slope is the same and with a different y-intercept

The line are perpendicular unless the one of the slope is the negative reciprocal of the other.

And both equation didn’t meet any of the requirement.

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3 years ago

Write two ratios that are equivalent to 3/11

julsineya [31]

The answer is 3:11 and 3 to 11

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3 years ago

In the expansion (ax+by)^7, the coefficients of the first two terms are 128 and -224, respectively. Find the values of a and b

madam [21]

Answer:

a = 2, b = 3.5

Step-by-step explanation:

Expanding $(ax+by)^7$ using Binomial expansion, we have that:

$(ax+by)^7$ =

$(ax)^7(by)^0 + (ax)^6(by)^1 + (ax)^5(by)^2 + (ax)^4(by)^3 + (ax)^3(by)^4 + (ax)^2(by)^5 + (ax)^1(by)^6 + (ax)^0(by)^7$

$= (a)^7(x)^7+ (a)^6(x)^6(b)(y) + (a)^5(x)^5(b)^2(y)^2 + (a)^4(x)^4(b)^3(y)^3 + (a)^3(x)^3(b)^4(y)^4 + (a)^2(x)^2(b)^5(y)^5 + (a)(x)(b)^6(y)^6 + (b)^7(y)^7\\\\\\= (a)^7(x)^7+ (a)^6(b)(x)^6(y) + (a)^5(b)^2(x)^5(y)^2 + (a)^4(b)^3(x)^4(y)^3 + (a)^3(b)^4(x)^3(y)^4 + (a)^2(b)^5(x)^2(y)^5 + (a)(b)^6(x)(y)^6 + (b)^7(y)^7$

We have that the coefficients of the first two terms are 128 and -224.

For the first term:

=> $a^7 = 128$

=> $a = \sqrt[7]{128}\\ \\\\a = 2$

For the second term:

$a^6b = -224$

$b = \frac{-224}{a^6}$

$b = \frac{-224}{2^6} \\\\\\b = \frac{-224}{64} \\\\\\b = 3.5$

Therefore, a = 2, b = 3.5

5 0

3 years ago

A candy maker is making candy canes to sell over the holidays she has 45 left over the last month sale and she can make 225 per

notsponge [240]

F(x) stands for a function, and if x stands for the number of days, than she can do 225 per day, which would be the multiplication to find the toatl 225x.

Then, with 45 extra, we add that to the equation:

F(x) = 225x + 45

Answer: F(x) = 225x + 45

Credit to: @2Educ8

+ = <3

8 0

3 years ago

A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm.What is the

oksian1 [2.3K]

Area of a triangle is given by half the product of two of the sides and the sine of the included angle.

Thus, the area of the triangle is 0.5 x 27.6 x 30 x sin 23^o = 161.76 cm^2

7 0

3 years ago