Answer:
[tex]a)\ x_1=-3i,\ x_2 =3i[/tex]
[tex]b)\ x_1=-\sqrt{10},\ x_2=\sqrt{10}[/tex]
Step-by-step explanation:
Given equations:
[tex]a)\ x^2+19=10\\\\b)\ 4x^2+3=43[/tex]
A. x² + 19 = 10
Step 1: Subtract 19 from both sides.
[tex]\\\implies x^2+19-19=10-19\\\\\implies x^2=-9[/tex]
Imaginary number rule: For any positive real number "k", [tex]\sqrt{-k} = i\sqrt{k}[/tex]
Note: Two imaginary (complex) solutions indicate that the graph will not intersect the x-axis. As a result, it has no real roots.
Step 2: Take the square root of both sides (positive and negative roots).
[tex]\\\implies \sqrt{x^2}=\sqrt{-9}\\\\\implies x=\pm\ i\sqrt{9}\\\\\implies x=\pm\ 3i[/tex]
Step 3: Separate the solutions.
[tex]\implies x_1=-3i,\ x_2 =3i[/tex]
----------------------------------------------------------------------------------------------------------------
B. 4x² + 3 = 43
Step 1: Subtract 43 from both sides.
[tex]\\\implies 4x^2++3-3=43-3\\\\\implies 4x^2=40[/tex]
Step 2: Divide both sides by 4.
[tex]\\\implies 4x^2=40\\\\\implies \dfrac{4x^2}4=\dfrac{40}{4}\\\\\implies x^2=10[/tex]
Step 3: Take the square root of both sides (positive and negative roots).
[tex]\\\implies \sqrt{x^2}=\sqrt{10}\\\\\implies x=\pm\ \sqrt{10}[/tex]
Step 4: Separate the solutions.
[tex]\implies x_1=-\sqrt{10},\ x_2=\sqrt{10}[/tex]
Use the grouping method to factor the polynomial below.
x^3+4x^2-3x-12
What is the area?Write your answer as a fraction or as a whole or mixed number
Answer:
83 3/10
Step-by-step explanation:
multiple the numbers
Gerald works at a warehouse that ships products to various grocery stores. He has 230 boxes of oatmeal to ship.
Answer:
?????
Step-by-step explanation: check if you wrote the complete question.
Answer the question in the picture above.
Answer:
m is less than A apparently
Step-by-step explanation:
Math Geniuses!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
[tex]3x+14\leq 13[/tex]
Answer:
x ≤ - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given
3x + 14 ≤ 13 ( subtract 14 from both sides )
3x ≤ - 1 ( divide both sides by 3 )
x ≤ - [tex]\frac{1}{3}[/tex]
Answer:
x≤-⅓Step-by-step explanation:
to understand the solving stepsyou need to know about:inequalityPEMDASgiven:3x+14≤13
to solve:x
let's solve:[tex]step - 1 \colon \: define[/tex]
[tex]3x + 14 \leqslant 13[/tex]
[tex]step - 2 \colon \: subtract[/tex]
[tex]3x + 14 - 14 \leqslant 13 - 14[/tex]
[tex]3x \leqslant - 1[/tex]
[tex]step - 3 \colon \: divide[/tex]
[tex] \frac{3}{3} x \leqslant - \frac{1}{3} [/tex]
[tex]x \leqslant - \frac{1}{ 3} [/tex]
Write an equation in point-slope form with a slope of m=3 and passes through the point (4,-5).
Answer:
y+5=3(x-4)
Step-by-step explanation:
hope this helped :)
If A is the set of all integers, choose the set B that will make the following statement false.B ⊆ A
B = {1, 2, 3}
B = {2.5, 3.5, 4.5}
B = {0}
B = {−4, −1, 0, 5, 10}
Answer:
B.
Step-by-step explanation:
The sets {1, 2, 3}, {0}, {-4, -1, 0, 5, 10} only include integers which makes the statement true. Since they are all integers they are all subsets.
Answer {2.5, 3.5, 4.5} does not include integers so therefore it is not a subset making the statement false.
5. Which expression is equivalent to (2p + 4)(2p – 4)?
A 4p2 + 16p – 16
B (2p)2 – 2(2)(4) + 42
C 2p2 – 42
D (2p)2 – 42
Answer:
[tex] {4p}^{2} - 16 [/tex]
I think I'm wrong or you're wrong.
I don't know but hope it's helpful ❤❤❤
THANK YOU.
Pls help I will give brainliest
Answer:
Step-by-step explanation:
the distance around the figure--we need to find the perimeter
we have rectangle that has the side, 8 and 15
P(r)=2(8)+2(15)=16+30=46
we also have half of the circle with the diameter =8 and r=4
Circumference =2*3.14*r
C=2*3.14*4=25.12
we need just half of the circle 25.12/2=12.56
P figure=46+12.56=58.56
Area= rectangle=l*w=8*15=120
Area(circle)=3.14*r^2=3.14*16=50.24
half circle 50.24/2=25.12
Area figure=120+25.12=145.12
What is the coefficient of q in the sum of these two expressions?
(2/3q – 3/4) and (–1/6q – r)
Can someone please help! I will be marking brainliest!
Answer:
the two coefficients are 2/3 and -1/6
the sum of the expressions are = 1 /2 q−r+ −3 /4
Step-by-step explanation:
Simplify. Your answer should contain only positive exponents.
1) 2m² * 2m³
2) m⁴ * 2m⁻³
3) 4r⁻³ * 2r²
4) 4n⁴ * 2n⁻³
5) 2k⁴ * 4k
6) 2x³y⁻³ * 2x⁻¹y³
Answer:
1) simplified would be 4m^5
2) simplified would be 2m
3) would be 8/r
Jess rounds a number, x to one decimal place
The result is 9.8
Write down the error interval for X
The error interval when x is rounded off to 9.8 will be given as 9.75 ≤ x ≤ 9.84.
The number that is rounded off is:
x = 9.8
9.8 can be rounded off for 9.75 to 9.84
So, this means that:
9.75 ≤ x
or 9.84 ≥ x
So, the error interval becomes:
9.75 ≤ x ≤ 9.84
Therefore, we get that, the error interval when x is rounded off to 9.8 will be given as 9.75 ≤ x ≤ 9.84.
Learn more about error interval here:
https://brainly.com/question/24824625
#SPJ9
Sandra calculated her Taxable income as 39,250. She paid 6,000 dollars in federal withholding tax . Based on the table above , what is the amount Sandra Will receive as a refund
Answer:
i really dont even know
Step-by-step explanation:
Answer:
Sorry if it’s to late but the answer is 56:)
Step-by-step explanation:
BRAINLIEST IF RIGHT!
sooo ummm help... 15-p=p-3
Answer:
p = 9
Step-by-step explanation:
Answer:
p = 9
Step-by-step explanation:
15 - p = p - 3
-p - p = -3 - 15
-2p = -18
p = 9
Simplify
3-6 x
(34
.
3º)2
3-6
3-2
30
Answer:
5
Step-by-step i did the math
Answer:
3 to the power of 0
Find the perimeter of a rectangle whose one side measures 20m and diagonal is 29m
Answer:
Option A
Step-by-step explanation:
Answer:
1.You draw the rectangle and label on one side 20m
2.Draw a diagonal line inside the rectangle an label the line as 29m
3.Extract the the newly formed right angled triangle.
4.Find the hypotenuse (a+b=c) of the right angle which will give you the value of the unknown side.
5.Calculate the perimeter which is;
P=S+S+S+S
P= 20m+9m+20m+9m
P=29m+29m
P=58m
PLZ HELP ASAP!!!!!!!!
Answer: 3:2
Step-by-step explanation:
the base ratio of unused tape to used tape is 24:16.
then we have to simplify,
both 16 and 24 can be divided by eight,
24 divided by eight is 3
16 divided by eight is 2
therefore, our simlpified ratio is 3:2
hope this helped! <3
Tomás earned $38.25 for cleaning the garage. He was paid $4.25 per hour. Write and solve a multiplication equation to find how many hours it took him to clean the garage.
Answer:
4.25(x)=38.25
Step-by-step explanation:
Karly got a 74% on her Social Studies test. The test had 50
questions. How many questions did she NOT answer
correctly?
ann
What is the value of 8(3 + x) when x = 7?
Answer:
80
Step-by-step explanation:
8(3+7)=80
HELLPP PWEASEEEE :( im confused
Answer:
18 seconds
Step-by-step explanation:
according to the question
-16t²+5184=0 (0 because when the height is 0 the ball will hit the ground)
-16t²=-5184
t²=-5184/-16
t²=324
t=√324
t=18
Answer this and I will give you 20 points
Can sb help me not much !!!!!!a lot of points plz
Answer:
18 is Hypo
9 is leg..
MARK ME AS BRAINIEST
This is 20 pts. Please help. I need help on my homework due tomorrow...here are the questions and please show how to work out the problems:
1. Convert 101 with an exponent of 2 to base 10
2. Convert 2A3 with an exponent of 16 to base 10
3. Covert 173 to base 3
4. Convert 177 to base 16
Answer:
1) 10^2 + 1
2) ?
3) 2(3^3) + 11
4) 16^2 - 79
Step-by-step explanation:
1) 101 = 100 +1 = 10^2 +1
2) ?
3) 173 = 81+81+11 = 3^3+3^3+11 = 2(3^3) +11
4) 177=256-79 = 16^2 -79
Pls mark Brainiest :)
solve or check ' whether your answer is correct or not 3x -9=12
Answer:
x = 7
Step-by-step explanation:
3x - 9 = 12
3x = 12 + 9
3x = 21
x = 21 ÷ 3
x = 7
Highest common factor of 220 and 88
solve. -0.63 ÷ -0.7 = ill give brainiest
Answer:
0.9
Step-by-step explanation:
plz brainliest
Answer:
0.9
Step-by-step explanation:
find the distance between two numbers on a number line. write your answer as a decimal. -7/9 , -2/9 the distance between the two numbers is __?
Answer:
umm.
Step-by-step explanation: