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1 year ago

11

Please solve and show your work

2 answers:

malfutka [58]1 year ago

7 0

I r d k sorry ghhfdhjh hhhhj

yaroslaw [1]1 year ago

5 0

Answer:

791.28

Step-by-step explanation:

1. 3.14*9²=254.34

2. 3.14*9*19=536.94

3. 536.94+254.34=791.28

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22 less than the quotient of an unknown number and 35 is -25.

Agata [3.3K]

-22+(x/35)=-25
add 22 to both sides
x/35=-3
multiply both sides by 35 to cleaf raction
x=-105

number was -105

6 0

3 years ago

For what value of k is there one solution to the given quadratic equation (k+1)x²+4kx+2=0.

andriy [413]

Answer:

If $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

The signal of $\bigtriangleup$ determines how many real roots an equation has:

$\bigtriangleup > 0$ : Two real and different solutions

$\bigtriangleup = 0$ : One real solution

$\bigtriangleup < 0$ : No real solutions

In this problem, we have the following second order polynomial:

$(k+1)x^{2} + 4kx + 2 = 0$ .

This means that $a = k+1; b = 4k; c = 2$

It has one solution if

$\bigtriangleup = 0$

$b^{2} - 4ac = 0$

$16k^{2} -8(k+1) = 0$

$16k^{2} - 8k - 8 = 0$

We can simplify by 8

$2k^{2} - k - 1 = 0$

The solution is:

$k = 1$ or $k = -\frac{1}{2}$

So, if $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

4 0

3 years ago

Rewrite the equation in exponential form, and show how you got there:

Brut [27]

Answer: $13^0=1$

Step-by-step explanation:

Logarithms are in the format $log_{b} a=c$ while exponential form is in the format $b^c=a$

So we can transfer a,b, and c from the log form to the exponential form

$log_{13} 1=0\\\\13^0=1$

6 0

2 years ago

1. what’s the distance between (-8, -6) and (4, 10)?

charle [14.2K]

Use the formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$(-8,\ -6),\ (4,\ 10)\\\\d=\sqrt{(4-(-8))^2+(10-(-6))^2}=\sqrt{12^2+16^2}\\\\=\sqrt{144+256}=\sqrt{400}=\boxed{20}\\\\(5,\ 14),\ (-3,\ -9)\\\\d=\sqrt{(-3-5)^2+(-9-14)^2}=\sqrt{(-8)^2+(-23)^2}\\\\=\sqrt{64+529}=\boxed{\sqrt{593}\approx24.35}$

7 0

3 years ago

What do you say about the proposition "4 divides n" compared to the proposition "2 divides n"?

likoan [24]

Answer:

добре звучи добре

Step-by-step explanation:

7 0

2 years ago