Answer:
Options A and D are correct
Step-by-step explanation:
Here, we want to find the square root of the negative number;
x^2 = -64
x^2 = 64 * -1
x= √64 * √-1
Mathematically we can write the √-1 as i
X = √64 * i
Square root of 64 is plus or minus 8
so x = -8i or 8i
The solutions of an equation are the true values of the equation.
The expression that represents the solution(s) of [tex]\mathbf{8i}[/tex] is [tex]\mathbf{-8i}[/tex]
The equation is given as:
[tex]\mathbf{x^2 = -64}[/tex]
Take square roots of both sides
[tex]\mathbf{x = \pm\sqrt{-64}}[/tex]
Expand
[tex]\mathbf{x = \pm(\sqrt{64} \times \sqrt{-1})}[/tex]
[tex]\mathbf{x = \pm(8 \times \sqrt{-1})}[/tex]
In complex numbers,
[tex]\mathbf{ \sqrt{-1} = i}[/tex]
So, we have:
[tex]\mathbf{x = \pm(8 \times i)}[/tex]
[tex]\mathbf{x = \pm8i}[/tex]
Split
[tex]\mathbf{x = 8i\ or -8i}[/tex]
So, the expression that represents the solution(s) of [tex]\mathbf{8i}[/tex] is [tex]\mathbf{-8i}[/tex]
Read more about expressions at:
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Please help me out!!! :)
How can you look at the equation of two lines and determine if they will be parallel?
Answer:
fafg and then do the 2a ab 2b
Step-by-step explanation:
thoughts on Larray's new song? anyone??
Answer:
Step-by-step explanation:
EST SONG EVER ITS ALMOST AT 40 MIL VEIWS SO COOL
2. The maroon team and the orange team played a
game of football. The maroon team scored 30
points and the orange team scored 9 points. What is
the ratio of points scored by the maroon team to
points scored by the orange team?
Answer:
30:9
Step-by-step explanation:
The maroon team scored 30 points
The orange team scored 9 points
30:9
how do i write this equation in function notation.
=−2/5+1
Answer:
f(x) = −2/5x + 1
Step-by-step explanation:
when putting an equation in function notation first you must make sure the equation is in slope-intercept form and then you must rewrite the equation but instead of putting y you will replace it with f(x), or g(x), whichever one you are given directions to put it as.
Hope This Helps!
Plz Mark Brainliest!
Vision Source has a pair of glasses that are 20% more than the same pair of glasses at ABC Eye. If the glasses are $85 at ABC Eye, then how much more will you pay at Vision Source?
Answer:
the answer is $102
Step-by-step explanation:
because %20 is equal to $17
Which equation represent the line shown on the graph
Represent the following sentence as an algebraic expression, where "a number" is the letter x. The product of 8 and a number.
Answer:
x times 8 I'm pretty sure
In Joel's town, about 33 out of 100 cats are black. If Joel walks by 21 cats in 1 week, predict how many of those cats are black?
Answer:
7 cats are black
Step-by-step explanation:
Since 33 out of 100 cats are black then that means that 33% of the cats are black.
Since he walked by 21 cats 33% of them are most likely black.
So you do .33 x 21= 6.93 which can be rounded up to 7 cats
Pls help..............
in the science club there are 2 sixth graders for every 3 seventh graders.
Answer:
Okay...
Step-by-step explanation:
Just divide as a fraction for if you finish the question.
y - 3 = 2/5(x + 7) what is the slope
Answer:
2/5
Step-by-step explanation:
Let's simplify this equation to find the slope. I am going to make this into
y = mx+b form where m is the slope and b is the y-intercept.
y - 3 = 2/5(x+7)
y - 3 = 2/5(x) + 14/5
y = 2/5(x) + (14/5 + 3)
y = 2/5(x) + 29/15
The slope of this equation is 2/5
Solve the following equation algebraically. Show your work.
17 = -13 – 82
Will mark brainliest
In an aquarium, 25 of the fish are surgeonfish. Of these, 34 are yellow tangs. In simplest form, what fraction of all fish in the aquarium are yellow tangs? In an aquarium, 25 of the fish are surgeonfish. Of these, 34 are yellow tangs. In simplest form, what fraction of all fish in the aquarium are yellow tangs?
This question was not written properly
Complete Question
In an aquarium, 2/5 of the fish are surgeonfish. Of these, 3/4 are yellow tangs. In simplest form, what fraction of all fish in the aquarium are yellow tangs?
Answer:
The fraction of all fish in the aquarium that are yellow tangs = 3/10.
Step-by-step explanation:
The fraction of all fish in the aquarium that are yellow tangs=
3/4 Of 2/5
= 3/4 × 2/5
= 6/20
In its simplest form = 3/10
Therefore, the fraction of all fish in the aquarium tha are yellow tangs = 3/10
On one play, a football team gained 9 yards. On the next play, the football team received a penalty
of -10 yards.
Answer:
If your asking what the sum of the yards is it would be -1
Step-by-step explanation:
First I would make a number line from -10 to positive 10. Then from zero add nine. Then subtract 10 from 9. Since 10 is bigger than nine it would be a negative number. Hope this helped.
If the perimeter of this quadrilateral is 79 inches, what is the measure of the missing side length in inches?
Answer:
79 = 13+15+24+ missing side. 79 = 52 + missing side
Answer:
the answer would be 49 on the other side
i also need help with this one too
Answer:
27°
Step-by-step explanation:
angle FDG is a alternate interior angle with angle BDG
Answer:
27
Step-by-step explanation:
the explanation is too long... just trust me its 27
susie purchased a dress on sale for $22.36. this is 85% of the original price. what was the original price?
Answer:
I would say probably 26.31 because 85% of 26.31 is 22.3635.
Hope this helps!
I need help ASAP pls
Answer:
b. 70+90=160
180-160=20°
a. 180-(20+90)
180-110=70
Can someone help me please, thanks.
I WILL GIVE YOU BRAINLIEST
Answer:
3 million or 3 x 10^6
Step-by-step explanation:
You would round this up to three million because the digit before it is 5 or larger. Then, using the three million number, you move the decimal over 6 places to get a digit less than ten so it would become 3 times 10 to the power of 6
Answer choices:
(x + 0, y -12)
(x + 8, y - 6)
(x + 1, y - 13)
(x - 7, y - 3)
(x + 10, y + 0)
Cheyenne collects movies. She has 435 movies that are either comedy, scary, or sci-fi. She has the same number of videos for each genre. How many movies does she have in each genre. Draw a model and write an equation that represent the problem. Solve.
(b) Factorise fully.
10x²+6x
Answer:
2x(5x + 3)
Step-by-step explanation:
Factor out common factors. Note that both terms have x inside it. Therefore, you will factor out one x from each term.
Note the factors of both 10 & 6:
10: 1 , 2 , 5, 10
6: 1 , 2 , 3, 6
Note that the greatest factor shared is 2. Divide 2 and x out from both terms:
(10x² + 6x)/2x = 5x + 3
2x(5x + 3) is your answer.
~
On Monday morning, Megan had a balance of $17 on her lunch card. The cost of a pizza is $4.50. Megan bought a pizza every day for 5 days. What is Megan's balance at the end of the 5 day school week?
Carla traveled 320 miles in 5 hours. At this rate, how far will Carla travel in 7 hours?
Please show work with it
Answer:
448
Step-by-step explanation:
320/5 is 64 miles per hour
64*7 is 448
she will travel 448 miles in 7 hours
Carla traveled 320 miles in 5 hours. At this rate, Carla will travel 448 miles in 7 hours.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Carla traveled 320 miles in 5 hours. At this rate, then we need to find how far will Carla travel in 7 hours.
If 5 hours = 320 miles
then 7 hours = ?
7 hours will give more so if more less divide;
7hours ÷5hours × 320 miles
Then hours will cancel out,
= 7÷5×320 miles
= 448 miles
Therefore, Carla will travel 448 miles in 7 hours.
Learn more about the unitary method;
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What is the value of the expression All of 3.6 multiplied by 10 to the power 8 over all of 1.2 multiplied by 10 to the power 3?
Answer:
aswer is something
Step-by-step explanation:
Answer: Ur mom
Step-by-step explanation:
PLZ HELP ME I will give u 10 points PLZZ HELP ME
Answer:
1000
7/100
Step-by-step explanation:
10×10×10is 100
What is the percent if we go from 12 to 23?
Answer:
91.67%
Step-by-step explanation:
find diff between 12 and 23 as a number
divide that number from step on by 12
multiply the result from step 2 by 100
Solve the system.
X+y=8
2x^2 - y= -5
Answer:
third option
Step-by-step explanation:
[tex]( x + y = 8 ) + ( 2x^{2} - y = -5 )\\\\(x + y + 2x^{2} - y ) = 8 + (-5)\\2x^{2} + x = 3[/tex]
Please help me. I will give 25 points..
Answer:
a. Given
b. Given
c. Linear Pair Postulate
d. Same side interior angle theorem
e. Converse of same side interior angle theorem
Step-by-step explanation:
Linear Pair Postulate – says that “If two angles form a linear pair, then those angles are also going to be supplementary.”
Same side interior angle theorem – says that “If two lines are parallel and same side interior angles are formed, then the angles will be supplementary to one another.”
Converse of same side interior angle theorem – says that “If same side interior angles are supplementary, then the lines that form them will be parallel to one another.”
