Answer:
see explanation
Step-by-step explanation:
(1)
x² + 4 = 0 ( subtract 4 from both sides )
x² = - 4 ( take the square root of both sides )
x = ± [tex]\sqrt{-4}[/tex] = ± 2i ← complex solutions
(2)
x² - 81 = 0 ( add 81 to both sides )
x² = 81 ( take the square root of both sides )
x = ± [tex]\sqrt{81}[/tex] = ± 9 ← real solutions
Answer:
1. -2
2. 9
Step-by-step explanation:
1. 0 = x2 + 4
-4 = x2
[tex]\sqrt{-4}[/tex] = x
x = -2
2. 0 = x2 - 81
81 = x2
[tex]\sqrt{81}[/tex] = x
x = 9
MARK IT BRAINLIEST!!!
PLEASE HELP! WHOEVER ANSWERS BEST WITH EXPLANATION BECOMES BRAINLIEST! Maria is conducting a survey to determine the ages of 100 dogs in an animal shelter. Which of the following questions is an appropriate statistical question for this survey? What is the number of dogs in the shelter that are more than 5 years old? What is the average number of years a dog stays at the shelter? How old is the youngest dog in the animal shelter? How old is each dog in the animal shelter?
Answer:
The answer is either A or B. Answer D is not appropriate for a survey of 100 dogs. Answer C, is also not correct, because it doesn't exactly matter out of 100 dogs. Answer A, is more accurate, then Answer B, because it is more of a statistical question, as in surveys, we want statistics. Thus, I must go with A) - What is the number of dogs in the shelter that are more than 5 years old?
Step-by-step explanation:
Answer:
the average
Step-by-step explanation:
option1: will help you get a population of those above five only therefore frequency for a large group of above five years which you can't analyse
2: you are able to see e.g average is 25yrs so your classes can start from e.g 0 to at most 26yrs therefore clearly defined classes
3 and 4: help you either get upper and lower limits but the other respective limits are infinite
1) Which is a prime number?
19
15
18
22
Answer: 19
Definition:
Prime: Prime numbers are numbers that can only be multiplied ONE time.
Example: 19×1=19
Composite: Composite numbers are numbers that can be multiplied MORE THAN ONE time.
Number 15: 15×1=15, 15×2=30, 15×3=45
Number 18: 18×1=18, 18×2=36, 18×3=54
Number 22: 22×1=22, 22×2=44, 22×3=66
Answer: The answer is 19.
Step-by-step explanation:
64. Find the coordinates of the midpoint of a segment with endpoints (7.-1) and (-1, 5).
(x₂+x2 yı+Y2
Midpoint formula
2
Answer:
The coordinates of the midpoint of the segment is (3,2)
Step-by-step explanation:
To find the coordinates of the midpoint, we use the midpoint formula which is;
(x1+x2/2 , y1+y2/2)
Where;
x1 = 7
x2 = -1
y1 = -1
y2 = 5
= (7-1)/2 , (-1+5)/2 = 6/2, 4/2 = (3,2)
Find the perimeter of this figure. (Image down below)
Answer:
The answer is
44 ftStep-by-step explanation:
The figure above is a rectangle
To find the perimeter of a rectangle we use the formula
Perimeter of a rectangle = 2l + 2w
where
l is the length of the rectangle
w is the width of the rectangle
From the question
length = 14 ft
width = 8ft
Substituting the values into the above formula we have
Perimeter = 2(14) + 2(8)
= 28 + 16
We have the final answer as
Perimeter = 44 ftHope this helps you
Basic math for 20 points + brainliest!
Answer:
Look at photo
Step-by-step explanation:
If 1 and -1 are the zeroes of the polynomial p(x) = ax 3 + x 2 − 2x + b, find the values of a and b
Answer:
a = 2, b = -1Step-by-step explanation:
p(x) = ax³ + x² - 2x + b
p(1) = a(1)³ + 1² - 2•1 + b = a + 1 - 2 + b = a + b - 1
a + b - 1 = 0 ⇒ b = 1 - a
p(-1) = a(-1)³ + (-1)² - 2(-1) + b = -a + 1 + 2 + b = - a + b + 3
- a + b + 3 = 0 ∧ b = 1 - a
- a + (1 - a) + 3 = 0
- a + 1 - a + 3 = 0
-2a + 4 = 0
-2a = -4
a = 2
b = 1 - 2 = -1
Find the number of positive divisors of 540.
Answer:
The number 540 has the following divisors
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Step-by-step explanation:
The number 540 has the following divisors
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Therefore, the number 540 is not a prime number or a deficient number
A deficient number is one that is larger than the sum total of its possible dividing numbers less the number 540 itself that is we have;
1+ 2+ 3+ 4+ 5+ 6+ 9+ 10+ 12+ 15+ 18+ 20+ 27+ 30+ 36+ 45+ 54+ 60+ 90+ 108+ 135+ 180+ 270 = 1140.
Answer:
[tex]540 = 3 ^{3} \times 2 {}^{2} \times 5[/tex]
so, it is 4*3*2= 24
In Exercise 4, find the surface area of the solid
formed by the net.
Answer:
535.2 cm²
Step-by-step explanation:
The surface area the solid formed by the net in exercise 4 can be calculated by finding the area of each part that makes up the net.
The net consists of 2 triangles and 3 rectangles.
Each triangle has a base (b) of 8 cm and a height (h) of = √(8² - 4²) (using Pythagorean theorem)
height = 6.9cm
Each rectangle has length (l) of 20cm, and width (w) of 8cm
Therefore, Surface Area (S.A) = area of 3 rectangles + area of 2 triangles
S.A = 3(l*b) + 2(½*b*h)
S.A = 3(20*8) + 2(½*8*6.9)
S.A = 3(160) + (1*8*6.9)
S.A = 480 + 55.2 = 535.2 cm²
How do u simplify each expression by combining like terms?
Answer:
1. 8y - 9y = -1y
( 8 - 9 = -1)
3. 8a - 6 +a - 1
( i have showed the like terms here)
8a - 1a= 7a
-6 - 1 = -7
7a - 7
5. -x - 2 + 15x
( i have showed the like terms here)
-x + 15x = 14x
(x = 1)
14x + 2
7. 8d - 4 - d - 2
( i have showed the like terms here)
8d - d = 7d
-4 -2 = -6
7d - 6
8. 9a + 8 - 2a - 3 - 5a
( i have showed the like terms here)
9a - 2a - 5a = 2a
8 - 3= 5
2a + 5
Which transformation shows a reflection across the y-axis? A) A B) B C) C D) D
Answer:
The answer is A
Step-by-step explanation:
This shows a mirroring effect over the vertical y axis.
Choices B and C are a translation (aka shifting)
Choice D is a reflection but over the horizontal x axis.
in scientific notation
1.6 x 10^3/ 8 x 10^7
Answer:
Step-by-step explanation:
[tex]\frac{1.6*10^{3}}{8*10^{7}}=\frac{1.6}{8}*10^{3-7}\\\\\\=0.2*10^{-4}\\\\\\=2.0*10^{-5}[/tex]
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]
Please answer question now
Step-by-step explanation:
Here,
diameter(d) of the cylinder is 16 yd.
radius of a cylinder is 16/2 yd= 8 yd.
height (h) of a cylinder is 18yd.
now, we use formula for surface area of cylinder,
a= 2.pi.r(r+h)
or, a= 2×3.14×8(8+18)
by simplifying it we get,
The surface area of cylinder is 1306.24 sq.yd.
Hope it helps...
Answer:
The surface area of this cylinder is:
1306.24 square yards
Step-by-step explanation:
There are 2 types of surface:
2 flat surfade1 circular surfacethen:
total surface = 2 flat surface + circular surface
ts = 2(п r²) + (п*d*h)
ts = total suface
п ≈ 3.14
d = diameter = 16 yd
r = radius = diameter/2 = 16/2 = 8yd
h = high = 18yd
then:
ts = 2(3.14*8²) + (3.14*16*18)
ts = 2(3,14*64) + (904,32)
ts = 2(200.96) + 904.32
ts = 401.92 + 904.32
ts = 1306.24 yd²
Write each expression using a positive exponent. ("/" means division)("^" means to the power of) 9^-4
Answer:
Step-by-step explanation:
[tex]9^{-4}[/tex]
=[tex]\frac{1}{9^{4} }[/tex] ∴ [tex]x^{-n} = \frac{1}{x^{n} }[/tex]
=[tex]\frac{1}{9*9*9*9}[/tex]
=[tex]\frac{1}{6561}[/tex]
Can you please help me thanks
The midpoint (x, y) and the end point (x2, y2) are known. Find (x1, Y1) using the midpoint formula.
a. (x1,y1) = (2x + x2, 2y+y2)
b. (x1,y1) = (2x - x2, 2y - y2)
c. (x1,y1) = (x + x2, y + y2)
d. (x1,y1) = (x - x2, y - y2)
Answer:
(x1,y1) = (2x - x2, 2y - y2)
Step-by-step explanation:
Given:
Midpoint = (x , y)
End point = (x2, y2)
Find:
(x1, y1)
Computation:
Mid-point formula
x = (x1 + x2) / 2 , y = (y1 + y2) / 2
So,
2x = x1 + x2 , 2y = y1 + y2
x1 = 2x - x2 , y1 = 2y - y2
So,
(x1,y1) = (2x - x2, 2y - y2)
Lily deposited $19 in a savings account that earns 1.3% simple interest. Which graph represents this scenario?
Answer:
the total amount (balance) after x years with a principal of $19 and with simple interest of 1.3% is given by:
balance(x) = 19(1+0.013x)
Calculate for two values of x (for example x=0, balance = 19(1+0)=$19
and choose the graph that fits both points.
Step-by-step explanation:
Piper deposited $734.62 in a savings account that earns 2.6% simple interest. What is Piper's account balance after seven years?
Answer:
Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars
Step-by-step explanation:
first see te interest :
A=prt (p is the deposited amount, r is the rate , t is the time)
A=734.62 *(2.6/100)* 7
A=133.70084
Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars
Answer:
$868.32
Step-by-step explanation:
First you need to multiply 734.62 by 2.6%.
734.62 x 0.026 = 19.1
Then we need to multiply that by 7 (because 7 years).
19.1 x 7 = 133.7
Then add that to the initial deposit.
734.62 + 133.7 = 868.32
So after 7 years in a savings account your $734.62 would become $868.32.
explain how 6/12 and 4/8 are equal fractions
6/12 and 4/8 are equal fractions, as, when simplified, they share a simplified fraction.
Note that what you do to the denominator, you do to the numerator. Find common denominators for both fractions:
(4/8)/(2/2) = 2/4
(6/12)/(3/3) = 2/4
As you can tell, when they share a common denominator (4), the numerators are the same as well (3).
~
Evaluate if x =3 and y = -2
x2+2xy−4y
Answer:
5
Step-by-step explanation:
With the equation [tex]x^2 + 2xy - 4y[/tex], we can substitute the values of x = 3 and y = -2 into the equation to find its result.
[tex](3^2) + (2\cdot3\cdot-2) - (4\cdot-2)\\\\9 + (6\cdot-2) - (-8)\\9 - 12 + 8\\5[/tex]
Hope this helped!
A line passes through (4,-5) and had a slope of 5/2. Write an equation in point-slope form for this line
Answer:
y+5 = 5/2( x -4)
Step-by-step explanation:
Point slope form of a line is
( y-y1) = m(x-x1) where m is the slope and ( x1 ,y1) is a point on the line
y --5 = 5/2( x -4)
y+5 = 5/2( x -4)
Answer:
y + 5 = 5/2(x - 4)
Step-by-step explanation:
Use the point slope equation: y - y1 = m(x - x1), where (x1, y1) is a known point and m is the slope.
Plug in the values:
y + 5 = 5/2(x - 4)
So, the equation is y + 5 = 5/2(x - 4)
4+2p=10 (3/4p-2) solve for p
Answer:
p = 48/11 or 4.36
Step-by-step explanation:
4 + 2p = 10(3/4p - 2)
distribute the 10 on the right side of the equation
4 + 2p = (15/2p - 20)
multiply both sides by 2
8 + 4p = 15p - 40
move the terms
48 = 11p
p = 48/11
(sorry if this question is already answered, brainly is glitching out for me)
Answer:
p=6
I got it right on Kahn Academy
Special right triangles
what should we do??? the question isn't there!
What is the area of this figure?
9 mi
5 mi
8 mi
6 mi
3 mi
3 mi
Answer:
54 square miles
Step-by-step explanation:
The easiest thing to do is to separate the figure into one 5x9 rectangle and one 3x3 square. The rectangle area is 5x9=45 square miles and the square is 3x3=9 square miles. So total is 45+9=54 square miles.
At a certain movie theater, the ratio of length to width of the movie screen is 16:9. If the
length of the screen is 90 feet, then, to the nearest foot, how many feet is its whdth?
Answer:
about 51 ft
Step-by-step explanation:
I am not sure if this is the correct answer
16:9 = 16/9
90/x = 16/9
90 * 9 = x * 16810 = x * 16x * 16 = 810( x * 16 ) / 16 = 810 / 16x = 405/8405/8 = 50.62550.625 is about 51Remember that i am not sure about this answer, but I hope this helps!
HELP PLS Kelly made fruit punch to serve at a party for her chess team. She mixed 1 2/5 liters of cranberry juice and 1 3/5 liters of pineapple juice together. Then, she split the fruit punch evenly among 9 glasses. How much fruit punch did Kelly pour into each glass?
Answer:
⅓litres
Step-by-step explanation:
1²/5+1³/5 =(1+1)+(²/5+³/5)
=2+ 1 = 3
3÷9=³/9.
simplify. ³/9= ⅓
Kelly pours 1/3 liter of fruit punch into each glass at a party for her chess team.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
For example 4/2 = 2
She combined 1 2/5 liters of cranberry juice and 1 3/5 liters of pineapple juice which are given in the question.
As per the above situation, the required solution would be
⇒ 1 2/5 + 1 3/5
Convert mixed numbers to fractions,
⇒ 7/5 + 8/5
Take the LCM in the above equation,
⇒ (7 + 8)/5
⇒ 15/5
⇒ 3
Then, she split the fruit punch evenly among 9 glasses.
Now, we have to divide 3 liters of fruit punch into 9 glasses
So 3/9 = 1/3 liters of fruit punch
Therefore, she pours 1/3 liter of fruit punch into each glass.
To learn more about the division operation click here :
brainly.com/question/25870256
#SPJ2
Convert the improper fraction 17⁄5 into a mixed number The denominator is 5 So the denominator of the ______number will be 5 This is from Seneca Learning:
Answer:
3 wholes 2/5
I hope this helps you!
What is the the product of (-1 - 3i) and it’s conjugate?
Answer:
10
Step-by-step explanation:
(-1 - 3i)(-1 + 3i) = 1 - 3i + 3i -9i²
1 - 9i²; i² = -1, therefore 1 - 9(-1) = 1 + 9 = 10
Multiply the input by 2. Then add 4 to the result to get the output.
Answer:
2x +4
Step-by-step explanation:
The Expression for "Multiply the input by 2 and then add 4 to the result to get the output" is 2x+ 4.
What is expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
Multiply the input by 2.
let the input be x.
So, 2x
Now, add the result to 4
Then, 2x+ 4
Hence, the expression is 2x+ 4.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b. A line is drawn on the coordinate plane that passes through the point (10,1) and has a slope of -0.5. The y-intercept of the line is ?
Answer:
[tex]\displaystyle [0, 6][/tex]
Step-by-step explanation:
[tex]\displaystyle 1 = -\frac{1}{2}[10] + b \\ \\ 1 = -5 + b; 6 = b \\ \\ [0, 6][/tex]
I am joyous to assist you at any time.
If P = (3,4), Find: Rx=1 (P)
Answer:
-1, 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
answer is (-1,4)