All categories

1 year ago

(5 - 7i)(8 + i)

Mathematics

1 answer:

docker41 [41]1 year ago

7 0

Answer:

(5 - 7i)(8 + i)

F) 40 - 561

H) 37 - 371

K) -16 - 2i

G) -33 - 61i

J) 47 - 51i

- 9 below

Step-by-step explanation:

You might be interested in

Please help thanks !

Sergio039 [100]

Answer:

point slope form: y-3= $-\frac{3}5}$ (x+2)

slope-intercept form: y= $-\frac{3}{5}$ x+ $\frac{9}{5}$

Step-by-step explanation:

so to find point-slope form, you first have to find the slope of the line

--slope = $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$ = $\frac{0-3}{3+2} =-\frac{3}{5}$ (you have to use the two points shown: (-2,3) and (3,0) to plug in for y1, y2, x1, and x2 to find the slope.)

so your slope is $-\frac{3}{5}$ .

Now all you have to do is use one of the points (-2,3) to sub in for y1 and x1 in the point-slope form equation.

Therefore, you get y-3= $-\frac{3}{5}$ (x+2) for point-slope form.

Now for slope-intercept form, you already have the slope because you found it to complete the equation for point slope form

slope = $-\frac{3}{5}$

Now slope intercept form is y=mx+b, where m is the slope and b is the y-intercept.

So, far we have y= $-\frac{3}{5}$ x+b

the easiet point to use for the x and y values is (3,0)

so, lets substitute: 0= $-\frac{3}{5}$ (3)+b, which becomes 0= $-\frac{9}{5}$ +b

add $-\frac{9}{5}$ to both sides to get b= $\frac{9}{5}$

Now you have both the slope and the y-intercept so you can now write the line in slope-intercept form.

You get $y=-\frac{3}{5}x +\frac{9}{5}$ .

5 0

2 years ago

Solve (4 - x ≤ -1) ∩ (2 + 3x ≥ 17). Click on the graph until the solution set appears.

dlinn [17]

Answer: I believe it’s “x is greater than or equal to 5.”

8 0

2 years ago

Read 2 more answers

On Saturday, the Anderson

Bond [772]

Answer:

$\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.$

Step-by-step explanation:

Let's call (as suggested)

p = the cost of one pizza

c = the cost of one cheeseburger

The Anderson Family ordered 2 pizzas and 4 cheeseburgers and paid $31.50, thus:

2p + 4c = 31.50 [1]

Next weekend, they ate at the same restaurant and ordered 3 pizzas and 2 cheeseburgers for $33.25, thus:

3p + 2c = 33.25 [2]

To know the cost of one pizza and one cheeseburger, we need to solve the system of equations defined by [1] and [2]

$\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.$

4 0

2 years ago

It costs $26 to fertilize, water, mow, and maintain each square yard of a full size FIFA field (with maximum dimensions) before

ElenaW [278]

Answer:

It will cost $256542 to prepare the field for next weeks match.

Step-by-step explanation:

The maximum dimensions of a field according to FIFA rules is 110 m by 75 m.

So, the maximum area of a field is (110 × 75) = 8250 square meters.

Now, 1 square meters is equivalent to 1.196 square yards.

So, the maximum area of a field is (8350 × 1.196) = 9867 square yards.

Now, given that it costs to make ready each square yard of a full-size FIFA field, $26 before each game.

Therefore, it will cost $(26 × 9867) = $256542 to prepare the field for next week's match. (Answer)

4 0

2 years ago

A supermarket reduced the price per pound whole chicken by 20%. How many pounds of chicken can now be purchased for the amount o

nignag [31]

Answer:

25 pounds

Step-by-step explanation:

Let us assume that initially, 1 pound of whole chicken costs x.

So, initially 20 pounds of whole chicken costs 20x.

Now, the price is reduced by 20%.

That means that 1 pound of whole chicken now costs $x[1-\frac{20}{100} ]=0.8x$

Therefore, with a 0.8x amount of money, we can now purchase 1 pound of the whole chicken.

Hence, with a 20x amount of money, we can now purchase $\frac{20x}{0.8x}=25$ pounds of the whole chicken.

4 0

2 years ago