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3 years ago

15 divided by 3+13-8

Mathematics

2 answers:

Artist 52 [7]3 years ago

7 0

First complete 3+13-8 to get 8 and divide 15 by 8 to get 1.875

notsponge [240]3 years ago

7 0

1.875 but you would round up so it would be 1.9

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The table represents a linear equation.which equation shows how (-10,8) can be used to write the equation of this line is point-

larisa86 [58]

Answer:

$\large\boxed{y-8=-0.2(x+10)}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the table we have the points (-10, 8) and (10, 4). Substitute:

$m=\dfrac{4-8}{10-(-10)}=\dfrac{-4}{20}=-\dfrac{1}{5}=-0.2$

The equation of a line:

$y-8=-0.2(x-(-10))\\\\y-8=-0.2(x+10)$

5 0

3 years ago

Read 2 more answers

How do you factor 8x+56?

Aleksandr [31]

If you mean how do you get x by it's you divide both sides by 8, to cancel out the multiplication between x and 8, meaning that it would end up being x=7, sorry if that didn't answer your question correctly.

8 0

4 years ago

Read 2 more answers

Find the solution of the following equation whose argument is strictly between 270^\circ270 ∘ 270, degree and 360^\circ360 ∘ 360

Natasha2012 [34]

$\rightarrow z^4=-625\\\\\rightarrow z=(-625+0i)^{\frac{1}{4}}\\\\\rightarrow x+iy=(-625+0i)^{\frac{1}{4}}\\\\ x=r \cos A\\\\y=r \sin A\\\\r \cos A=-625\\\\ r \sin A=0\\\\x^2+y^2=625^{2}\\\\r^2=625^{2}\\\\|r|=625\\\\ \tan A=\frac{0}{-625}\\\\ \tan A=0\\\\ A=\pi\\\\\rightarrow z= [625(\cos (2k \pi+pi) +i \sin (2k\pi+ \pi)]^{\frac{1}{4}}\\\\k=0,1,2,3,4,....\\\\\rightarrow z=(625)^{\frac{1}{4}}[\cos \frac{(2k \pi+pi)}{4} +i \sin \frac{(2k\pi+ \pi)}{4}]$

$\rightarrow z_{0}=(625)^{\frac{1}{4}}[\cos \frac{pi}{4} +i \sin \frac{\pi)}{4}]\\\\\rightarrow z_{1}=(625)^{\frac{1}{4}}[\cos \frac{3\pi}{4} +i \sin \frac{3\pi}{4}]\\\\ \rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]\\\\ \rightarrow z_{3}=(625)^{\frac{1}{4}}[\cos \frac{7\pi}{4} +i \sin \frac{7\pi}{4}]$

Argument of Complex number

Z=x+iy , is given by

If, x>0, y>0, Angle lies in first Quadrant.

If, x<0, y>0, Angle lies in Second Quadrant.

If, x<0, y<0, Angle lies in third Quadrant.

If, x>0, y<0, Angle lies in fourth Quadrant.

We have to find those roots among four roots whose argument is between 270° and 360°.So, that root is

$\rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]$

5 0

3 years ago

I need help with the bottom section b

d1i1m1o1n [39]

Answer:

Interior Angle Theorem

x=5

measure of angles: 46, 46, 134

Step-by-step explanation:

Interior angle theorem

12x-14=5x+21

7x=35

x=5

12x-14=12(5)-14=46

5x+21=5(5)+21=46

20x+34=20(5)+34=134

4 0

3 years ago

Income Suppose income from an endowment is generated at the annual rate of $42,000 per year. Find the capital value of this endo

Mrac [35]

Answer:

Capital value after 1 year will be equal to $45150

Step-by-step explanation:

We have given principal amount P = $42000

Rate of interest r = 7.5 %

Time t = 1 year

Capital value is given by $A=P(1+\frac{r}{100})^n$

So $A=42000\times (1+\frac{7.5}{100})^1$

$A=42000\times 1.075=45150$

So capital value after 1 year will be equal to $45150

4 0

3 years ago