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3 years ago

What is the slope of a line perpendicular to the

Mathematics

2 answers:

zalisa [80]3 years ago

8 0

A. -3/5 !!!!!!!!!! !!!!!!!!!!!!!

Dahasolnce [82]3 years ago

7 0

Answer: a. -3/5

Step-by-step explanation:

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What conclusion can be determined from the dot plot below?

Evgen [1.6K]

The number of observations is 15

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4 years ago

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What number must you add to the polynomial below to complete the square?<br><br> x2 + 15x

Aleksandr-060686 [28]

Answer:

The number $\frac{225}{4}$ is added to the polynomial below to complete the square.

Step-by-step explanation:

Perfect square binomial:

A perfect square binomial is given by:

$(a + b)^2 = a^2 + 2ab + b^2$

In this question:

We have that:

$a^2 + 2ab + b^2 = x^2 + 15x + ?$

Since $a = x$ , we have that:

$2ab = 15x$

$2b = 15$

$b = \frac{15}{2}$

Completing the square:

The term that completes the square is $b^2$ . So

$b^2 = (\frac{15}{2})^2 = \frac{225}{4}$

The number $\frac{225}{4}$ is added to the polynomial below to complete the square.

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3 years ago

Find the solution of the given initial value problem in explicit form. y' = (1 – 11x)y?, y(0) = -1 Enclose numerators and denomi

Tanya [424]

Answer:

$y(x)=-e^{x-(\frac{11*x^{2} }{2}) }$

Step-by-step explanation:

This is a separable equation. First divide both sides by y:

$\frac{dy(x)}{\frac{dx}{y(x)} } =-11x+1\\\frac{dy}{y}=(-11x+1)dx$

Integrate both sides:

$\int\ \frac{dy}{y} \ =\int\ (-11x+1) \, dx$

$log(y)=-(\frac{11*x}{2} )+x+ c_1$

Solve for y taking exp to both sides:

$y(x)=c_1*e^{x-(\frac{11*x^{2} }{2}) }$

Where $c_1$ is an arbitrary constant

Evaluating the initial condition:

$y(0)=c_1*e^{0-(\frac{11*0^{2} }{2}) } =-1$

$c_1*e^{0} =-1\\c_1*1=-1\\c_1=-1$

Finally, replacing $c_1$ in the differential equation solution:

$y(x)=-e^{x-(\frac{11*x^{2} }{2}) }$

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3 years ago

2.) Mary bought 3.35 pounds of oranges, 2.3 pounds of apples, and 4.28 pounds of

yaroslaw [1]

Answer:

9.93

Step-by-step explanation:

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3 years ago

Can anyone help me pls with this problem 12 ÷ (-6)=?

Misha Larkins [42]

Answer: -6

Step-by-step explanation:

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2 years ago