Answers
Answer:
Perimeter: 52 Area: 181-16i?
Step-by-step explanation:
Perimeter
The formula for perimeter is 2l+2w, so you plug in the binomials they give you:
2(11-4i)+2(15+4i)
expand:
22-8i+30+8i
combine like terms (which cancels out 8i and -8i):
22+30=52
Area
"i" is not a real number and thus should not be part of the area here, meaning this answer as it is is wrong and I don't know how one would change that.
Here's what I did to get 181-16i, in any case:
The formula for area is l*w, so I plugged in the numbers:
(11-4i)(15+4i)
expanded:
165+44i-60i-16i*i
and combined like terms:
181-16i
*i is [tex]\sqrt{-1}[/tex], so [tex]i^{2}[/tex]=-1 and -1*-16=16.
Related Questions
PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST
Answers
Answer:
The area of the large rectangle can be represented in two ways. Either the sum of each of the areas of the individual smaller rectangles, which is what the first equation represents, as its the base multiplied by the height (a) of each rectangle.
The second equation is a simplified version of the first one, and can be explained in three ways:
Each of the terms in the earlier equation had a common factor of a, which could be taken outside the parentheses.
or
Since the height is the same for each of the smaller rectangles, you can just multiply the height times the sum of the three smaller rectangle's widths
or
The width of the large rectangle is just the sum of each of the smaller widths, so the sum of those multiplied by a will give the area of the large rectangle.
Hope this helps!
the volume of a box is 45x^3 + 198x^2 + 189x. find expressions for the possible dimensions of the prism
Answers
Answer:
length, width, and height are (b+2), (b-2), (b+3)
Step-by-step explanation:
Doing what the problem statement tells you to do, you get ...
(b^3 +3b^2) -(4b +12)
= b^2(b +3) -4(b +3) . . . factor each pair of terms
= (b^2 -4)(b +3) . . . write as a product
= (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares
The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
To find the possible dimensions of the prism, we need to factor the given volume expression into three factors, each representing the length, width, and height of the box.
We start by looking for common factors among the coefficients of the three terms:
45x³ + 198x² + 189x
= 9x (5x² + 22x + 21)
Now we can factor the quadratic expression inside the parentheses:
5x² + 22x + 21
= 5x² + 15x + 7x + 21
= 5x(x + 3) + 7(x + 3)
= (5x + 7) (x + 3)
The volume expression can be factored as:
45x³ + 198x² + 189x
= 9x (5x + 7) (x + 3)
Thus,
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
Learn more about prism here:
https://brainly.com/question/12649592
#SPJ2
What is the slope of the line
Answers
Answer:
Positive, Upward Slope.
Step-by-step explanation:
Answer:
the slope of a line shows how steep a straight line is, or the direction of a straight line
−8 (1 + x) + 7x PLEASE HELP
Answers
Answer:
-8-x or -x-8 or x=-8
Step-by-step explanation:
Distribute the -8 to the (1+x)
-8-8x+7x
then add the -8x+7x
-8-x or -x-8
and if you want to solve for x
x=-8
What tropism does this experiment represent?
The straw scrunched up and expanding represents is a representation of
Correct answer:
turgor pressure
.
Answers
what is the answer to 5--4
Answers
Answer:
9
Step-by-step explanation:
if you have two negatives next to eachother, the equation now adds like 5+4. 5+4=9
What is the area, in square inches, of the shaded part of the shape?
A.110 square inches
B.48 square inches
C.140 square inches
D.80 square inches
Answers
Find the value of x in the triangle.
67 113
293
7
Answers
Answer:
x = 67°Step-by-step explanation:
The sum of measures of angles in triangle is allways 180°
So:
x + 53° + 60° = 180° {subtract 113° from both sides}
x = 67°
what is the square root of 31
Answers
Answer:
5.567764363 or rounded off to two decimal places 5.57
Step-by-step explanation:
Calculator
Need help on this? Please help
Answers
parallel: g(x) = -5/3x + 1
perpendicular: h(x) = 3/5x - 5
neither: j(x) = 2x + 3
3.) Solve:
5x + 3- 3x = 2(x + 3) - 5
Answers
Answer:
0 = -2
Step-by-step explanation:
Answer:
no answer.
Step-by-step explanation:
5x + 3 - 3x = 2(x + 3) - 5 Simplify the left.
2x + 3 = 2(x + 3) - 5 Remove the brackets
2x + 3 = 2x + 6 - 5 Simply the right
2x + 3 = 2x + 1
It doesn't matter what you do, this is going to give you an impossible answer. The 2x's will cancel out and you will get 3 = 1 which is impossible.
Solve for x, 3-5x=18
Answers
Answer:
X = 3
Step-by-step explanation:
18 - 3 = 15
5x = 15
divide both sides by 5
X = 3
Answer:
[tex]3 - 5x = 18 \\ - 5x = 18 - 3 \\ - 5x = 15 \\ x = \frac{15}{ - 5} \\ \boxed{x = - 3}✓[/tex]
x=-3 is the right answer.(2k^3 - 7k^2 + 3k) - (-4k^2 + 5k) in polynomial standard form PLEASE HELP
Answers
Answer:
2 k 3 − 3 k 2 − 2 k
Step-by-step explanation:
Answer: ...
2k^3−3k^2−2k
What number is missing from the table of equivalent ratios?
A. 2
B. 5
C. 7
D. 13
Answers
Answer:
Step-by-step explanation:
The answer would be 5 because 14/7=2 and 6/3=2 and 10/ 2 =5 so 5
make
x
the subject of the formula
p
+
x
=
t
Answers
Answer:
x = t - p
Step-by-step explanation:
p + x = t
subtract p from both sides.
x = t - p
These two triangles are similar. What is the length of side a and b? Help ASAP pleasee! Look at the screenshot Please, Thank you! :)
Answers
Answer:
do you have 12 as an answer?
Algebra 2
Factoring Polynomials
Factor the polynomial completely.
1. x3 - 2x2 – 24x
Answers
write the equivalent fraction by division 30 by 42
Answers
Answer:
5/7
Step-by-step explanation:
5/7 is the simplified fraction for 30/42 by using the GCD or HCF method
Please Answer!
Which expression is equivalent to the given expression?
4(a−3)=
−8a
4a−12
4a−3
−4(a+3)
Answers
because 4(a-3) what’s in () can’t be done so you go to the next step in pemdas and multiply and then you write it out and your done
Answer: The answer is 4a−12
15 POINTS! Please solve: 3 - 2x = 13 + 3x
Answers
Answer:
x= -2
Step-by-step explanation:
hope this helped <3
-5x = 10 divide by -5
x= -2
You might need:
Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x + 2)2 – 16
lesser r =
greater x =
Answers
Answer:
lesser x: - 6
greater x: 2
Step-by-step explanation:
f(x) = (x + 2)² – 16
(x + 2)² – 16 = 0
(x + 2 + 4) (x + 2 - 4) = 0
(x + 6)(x - 2) = 0
roots (zero): x = -6 or x = 2
Between which two values would 50% of the data lie? Select all that apply. 15 and 40 15 and 45 40 and 50 45 and 50 45 and 60
Answers
Answer:
The answer is:
(2). 15 and 45
(3). 40 and 50
(5). 45 and 60
Step-by-step explanation:
Hope this helps! Also can i have brainliest?
-324/18
Plz show all the steps of how you got the answer.
Answers
Answer:
-18
Step-by-step explanation:
Step 1 - divide the numerator and denominator by 18
-324÷18 / 18÷18
Step 2 - divide the numbers
-18 / 18÷18
-18/1
any expression divided by 1 remains the same
-18
The Benton family uses up a 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?
Answers
Answer:
1/6
Step-by-step explanation: in a rate you need to make it a one so you double the 1/2 gallon to make it one gallon then since you doubled that you have to double the days to 6. So they drink 1 gallon per 6 days.
can someone plz help me with the questions .it’s due in 15 mins
Answers
Answer:number 14 is 8
Step-by-step explanation:
bc 5$ off all the bottles you bye is 2 dollars so keeps on counting the you get 8
Answer:
13.-16
14.-3
Step-by-step explanation:
if 3(x-1) -5(x-4)=8 find the value of x-5 whole 1/2
Answers
Step-by-step explanation:
3(x-1) -5(x-4) = 8
3x-3 -5x+20 = 8
3x -5x -3 +20 = 8
-2x + 17 = 8
17 -8 = 2x
9 = 2x
2x = 9
x = 9/2
3(x-1)-5(x-4)=8
We move all terms to the left:
3(x-1)-5(x-4)-(8)=0
We multiply parentheses
3x-5x-3+20-8=0
We add all the numbers together, and all the variables
-2x+9=0
We move all terms containing x to the left, all other terms to the right
-2x=-9
x=-9/-2
x=4+1/2
solve for x round your answer to the nearest tenth
Answers
use the pythagorean theorem to find the side adjacent to x then use it to solve for x
what is the y- intercept of the line with the eqaution y=-2x+4
Answers
Answer:
(0,4)
Step-by-step explanation:
When you are finding the y-intercept, the x = 0
y = -2x + 4
y = -2(0) + 4
= 0 + 4
y = 4
Meaning y = (0,4)
[tex]\sf{\underline{Given:-}[/tex]
[tex]~~~~~~~\bigstar\overbrace{The~equation~of~the~line}}[/tex]
[tex]\sf{\underline{To~find:-}}[/tex]
[tex]\bigstar{\overbrace{The~y-intercept~of~the~line}}\\\sf{\underline{Solution:-}}[/tex]
Since the equation is written in slope-intercept form (y=mx+b), then we just look at the b term, which stands for the y-intercept.
Notice that the y-intercept is a constant...
Hence, the y-intercept of the line is
[tex]\bigstar{\boxed{\pmb{4}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
PLEASE HELP DUE IN 30 MINS!!!
Answers
Answer:
There ya go
Step-by-step explanation:
Answer:
15/2
Step-by-step explanation:
goodluck on the rest! (:
Given f(x) = –x– 5, solve for a when f(x) = -3.
Answers
Answer:
-2
Step-by-step explanation:
f(x) = –x– 5
f(x) = -(-3)– 5
f(x) = 3– 5
f(x) = -2
Answer:
Answer is -2 because - * - = + 3-5=-2