Answer:
x=-1+\sqrt{15}i,\:x=-1-\sqrt{15}i
Step-by-step explanation:
For the given quadratic equation,x² + 2x + 16 = 0 the value of x will be x=-1+√15i, and x-=-1-√15i you must add 1 in order to complete the square.
What is a quadratic equation?Any equation with the formula [tex]\rm ax2 + bx + c = 0[/tex] where x is a variable and a, b, and c are any real values; a quadratic equation is one where a ≠ 0.
It is given that the equation is, x² + 2x + 16 = 0,
The value of x obtained after solving the given equation is x=-1+√15i and x-=-1-√15i.
In order to complete the square you have to take out the following operations,
x² + 2x + 16 = 0
Add and subtract by 1 as
x²+2x+16+1-1
x²+2x+1 +15
(x+1)²+(√15)²
Thus, you must add 1 in order to complete the square.
Learn more about quadratic equations here:
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Find the perimeter of the pentagon MNPQR with vertices M(2, 4), N(5, 8), P(8, 4), Q(8, 1), and R(2, 1)
Answer:
The pentagon MNPQR has a perimeter of 22 units.
Step-by-step explanation:
Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:
[tex]p = MN + NP + PQ + QR + RM[/tex] (1)
[tex]p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}[/tex] (1b)
If we know that [tex]M(x,y) = (2,4)[/tex], [tex]N(x,y) = (5,8)[/tex], [tex]P(x,y) = (8,4)[/tex], [tex]Q(x,y) = (8,1)[/tex] and [tex]R(x,y) = (2,1)[/tex], then the perimeter of the pentagon MNPQR is:
[tex]p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}[/tex][tex]p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}[/tex]
[tex]p = 22[/tex]
The pentagon MNPQR has a perimeter of 22 units.
The pentagon MNPQR has a perimeter of 22 units.
Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:
p = MN + NP + PQ + QR + RMp=MN+NP+PQ+QR+RM (1)
p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}p=
MN
∙
MN
+
NP
∙
NP
+
PQ
∙
PQ
+
QR
∙
QR
+
RM
∙
RM
(1b)
If we know that M(x,y) = (2,4)M(x,y)=(2,4) , N(x,y) = (5,8)N(x,y)=(5,8) , P(x,y) = (8,4)P(x,y)=(8,4) , Q(x,y) = (8,1)Q(x,y)=(8,1) and R(x,y) = (2,1)R(x,y)=(2,1) , then the perimeter of the pentagon MNPQR is:
p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}p=
(5−2)
2
+(8−4)
2
+
(8−5)
2
+(4−8)
2
+
(8−8)
2
+(1−4)
2
+
(2−8)
2
+(1−1)
2
+
(2−2)
2
+(4−1)
2
p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}p=
3
2
+4
2
+
3
2
+(−4)
2
+
0
2
+(−3)
2
+
(−6)
2
+0
2
+
0
2
+3
2
p = 22p=22
The pentagon MNPQR has a perimeter of 22 units.
Felix invested $10,000 into a retirement account in 2010. He then projected the amount of money that would be in the account for several years assuming that the interest will compound continuously at an annual rate. Later, when he looked back at the data, he could not recall the annual he used for the projections. Use the data below to determine the annual rate as a percent. (Remember use A=Pert for continuous interest problems where P=initial amount invested, r is the interest rate as a decimal and t is the time in years).
Answer:
0.068% or 6.8% this will be your final answer
o Explain "set"
2 list the tyres Or Set
3 What is a Circle?
a List the properties of a Circle
Сл
Answer:
3) A circle Is a locus of a moving point which moves from equal distance in q fixed path.
HELPPP PLS what is the circumference of 11 , 8 ,and 6 !
Answer:
C≈34.56, C≈25.13 and C≈18.85
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·11≈34.55752
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·8≈25.13274
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·6≈18.84956
which expression is equivalent to 2x+x^2+3x|+5x^2-10x?
(A) x
(B) x^2
(C) -5x+6x^2
(D) 15x+6x^2
Ja’quan was told to go inside one afternoon while he was at summer camp. He heard thunder and saw flashes of lightning. Suddenly, small balls and chunks of ice were falling on the field. Ja’quan checked the thermometer, because he never saw ice fall in South Florida, and noticed that it was 77°F (or 25°C). How was ice able to fall even though the temperature was much warmer than freezing? a) Ja’quan read the thermometer wrong b) He must have observed hail falling from thunder clouds c) It was cold enough to allow solid precipitation to fall d) Children were most likely throwing ice Reasoning (explain your answer using science facts) _________________________________________ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Answer:
b
Step-by-step explanation:
hail can occur at temperatures not too cold and not too hot. since he checked his thermometer and it was warm, it is certainly possible that he saw hail
help me outttt, thank you so much whoever does :))
12.59
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Find the approximate radius of a circle with a circumference of 34.48 inches. Use 3.14 for pie. Round to the nearest hundredth. Please provide steps.
Answer:
around 5.5 inches
Step-by-step explanation:
34.48 = 2rπ
34.48/π = 2r = around 11
r = 11/2
The radius of the circle is equal to 5.49 inches.
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
here, we have,
Given here:
Circumference as 34.48 inches and π=3.14
Now circumference of the circle is given by
2πr=34.48
r=34.48/2×3.14
r=5.49 inches
Hence, The radius of the circle is equal to 5.49 inches.
Learn more about circumference here:
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(PLEASE HELP)
Find the area of the given trapezoid.
240 is the answer you're looking for!
Step-by-step explanation:
To find the area, spilt the trapezoid into 3 shapes.
2 triangles (at the ends) and 1 rectangle (the center).
Let's start with the rectangle, the formula for rectangle area is:
[tex]l*w=A[/tex]
The length of the rectangle is 12, the width is 20. Add the numbers in:
[tex]12*20=A[/tex]
Solve:
[tex]12*20=240[/tex]
The area of the rectangle is 240. Now solve for the Triangles.
The formula for finding the area of triangles are is:
[tex](L*W)/2[/tex]
The length of the triangle is 12. To find the width subtract 20 from 30.
L = 12, W = 10. Add in the numbers.
[tex](12*10)/2 = A[/tex]
Use order of operations to solve, start with parenthesis:
[tex]120/2=A[/tex]
Rember to divide it by 2 because a triangle is half of a rectangle.
[tex]60 =A[/tex]
Since there are two identical triangles, you don't need to solve for the other
Now, add the areas together:
[tex]60 + 120+60=A[/tex]
Then solve:
[tex]180+60=A[/tex]
[tex]240=A[/tex]
The correct answer is 240.
¿Avisar y enamorar es una rima asonante o consonante?
ES URGENTE. NO PONGAN TONTERIAS SI NO REPORTO
GRACIAS :)
Answer:
son consonantes
guíate por esto.
La rima asonante se caracteriza porque solo coinciden los sonidos vocálicos en la última sílaba de cada verso, mientras que la rima consonante es aquella donde coinciden tanto vocales como consonante.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
The numbers are blurry on the graph
x=5 so what is (x+3)² =
(3+x)²
(5+3)²=
8²=
64
.
.
.
.
Answer:
64
Step-by-step explanation:
Since x=5
(5+3)^2
(8)^2= 64
What the Sum of Adding the Polynomials.
What are the solutions of x^2 - 2x +2 = 0?
A. X= i Or x= -i
OB. X= 2+ i or x = 2- I
O C. x = 1+i or x = 1-i
O D. x = 2i or x = -2i
Answer:
C
Step-by-step explanation:
Given
x² - 2x + 2 = 0 ( subtract 2 from both sides )
x² - 2x = - 2
To solve use the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 1)x + 1 = - 2 + 1
(x - 1)² = - 1 ( take the square root of both sides )
x - 1 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 1 to both sides )
x = 1 ± i , then
x = 1 + i or x = 1 - i → C
When two parallel lines are cut by a transversal, _______________________ angles are supplementary
A.Corresponding angles
B. Alternate interior angles
C, Alternate exterior angles
D.Same side interor angles
Answer:
When two parallel lines are cut by a transversal, Alternate interior angles are supplementary.
Step-by-step explanation:
PLEASE HELP ME I PROMISE A BRAINLIEST AND 5 STARS AND TY IF RIGHT PLEASE IM CONFUSED C: NO LINKS OR REPORT RIGHT AWAY >:(
please find the probability of what would happen for the 3 questions marked with black and has independent on them c:
Answer:
Total number of candies:
6 + 3 + 5 + 2 = 16Q1
P(2 red) = 3/16*3/16 = 9/256Q2
P(a yellow and a blue) = 2/16 * 6/16 = 3/64Q3
P(2 greens and a red) = 5/16 * 5/16 * 3/16 = 75/4096An arithmetic sequence is described by the formula f(n)=128+15(n−1). Find f(12).
Answer:
Step-by-step explanation:
Putting value of n = 12
f(12) = 128 + 15(12 - 1)
= 128 + 180 - 15
= 293
PLZ HELP! BRAINLIEST IS ON THE LINE!!!!!!!!!!!!!!!!
.. .. ..
Answers:
-97.7-36.50.06Hope this helps!
--Applepi101
A student has taken three math tests so far this semester. His scores for the first three tests were 65, 67, and 69. Suppose his test scores continue to improve at the same rate. What will be his grade on the sixth (and final) test? What will be his total score for all six tests?
Answer:
75
Step-by-step explanation:
Scores for his first tests were 65, 67, 69.
Rate of change: +2
y=2x+63; 63 is the 0th test he took, his first test was 65, so 65-2=63. 2x is the rate of change, his tests scores increase by 2 each time.
x=6, 6th test score
y=2(6)+63
y=12+63
y=75
So, on his 6th test he will get a score of 75
Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand this.
Answer:
3rd Answer =Option A is the Correct Answer
Step-by-step explanation:
Hi!
3. Maria bought 5 bottles of juice, each being 750 milliliters. She bought 3,750 milliliters of juice in total (750 x 5 = 3750). 3750 milliliters is equal to 3.75 liters. Lori bough 4 liters of juice. So, the correct sentence is A. Lori bought 0.25 liter more juice than Maria.
4. The trail is 3 [tex]\frac{1}{4}[/tex] miles long. Converted to feet, 3 [tex]\frac{1}{4}[/tex] miles is 17,160 feet. Your answer would be D.
Hope this helps! I would appreciate brainliest, if not that's okay!!
PLZ HELP
How many solutions does the equation 6p − 4p − 8 = −4 + 3 have? (5 points)
a
One
b
Two
c
None
d
Infinitely many
Answer:
D.infinitely many
try it you'll see
in the diagram, PQRS is a parallelogram. QRT is a straight line. Based on the diagram, state the values of x,y and z.
Answer:
Step-by-step explanation:
Which equation is correct?
O 3.3 = 32 = 9
4. 4 = 2(4) = 8
7.7 = 2(7) = 49
O 14 - 14 = 142 = 28
Answer:
3.3 = [tex]3^{2}[/tex] = 9
Step-by-step explanation:
answer this MATH question thank you :)
Answer:
K
Step-by-step explanation:
By altering the initial height, you change the h-intercept. That will affect the maximum height and the t-intercept.
Answer: K
Answer:
post a new question so we can talk
Step-by-step explanation:
A, B & C lie on a straight line. D, C & E lie on a different straight line. Angle y = 117° and angle z = 63°. Work out x
Consider the below figure attached with this question.
Given:
A, B & C lie on a straight line. D, C & E lie on a different straight line.
[tex]\angle y=117^\circ,\angle z=63^\circ[/tex]
To find:
The value of x.
Solution:
A, B & C lie on a straight line.
[tex]m\angle ABD+m\angle DBC=180^\circ[/tex] (Linear pair)
[tex]y+m\angle DBC=180^\circ[/tex]
[tex]m\angle DBC=180^\circ-y[/tex]
According to the exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.
[tex]m\angle DBC+m\angle BDC=m\angle BCE[/tex] (Exterior angle theorem)
[tex]180^\circ-y+z=x[/tex]
[tex]180^\circ-117^\circ +63^\circ =x[/tex]
[tex]126^\circ =x[/tex]
Therefore, the value of x is 126 degrees.
WILL MAKE BRAINLIST only if you solve this
Answer:
18/18 is fractions
16/16 is fractions
Step-by-step explanation:
18/18x16/16=1
Theres your answer.
DUE NOW!!! HELP IF U CAN
Carlos went and purchased a new mattress for $644.80, including tax. He
made a down payment of $200 and plans to pay the balance off in 5 equal
monthly payments. What will Carlos monthly payment be for this mattress?
a $88.96
X $168.96
C$7413
d. $128.96
2017 - Q13
13 Tivo identical number cubes are shown in the picture. The edge length of these number cubes
is 3 centimeters.
What is the combined volume of the two number cubes in cubic centimeters?
A 54 cm
B 18 cm
C 9 cm
D 27 cm
Answer:
Combined volume of the two number cubes = 54 cm³
Step-by-step explanation:
Given:
Side of a cube = 3 centimeter
Number of cubes = 2
Find:
Combined volume of the two number cubes
Computation:
If we combine two cube new figure will be a cuboid.
Length of new cuboid = 3 + 3 = 6 cm
Height of new cuboid = 3 cm
Width of new cuboid = 3 cm
Volume of cuboid = (l)(b)(h)
Combined volume of the two number cubes = (6)(3)(3)
Combined volume of the two number cubes = 54 cm³
What is the median value of the data set shown on the line plot?
HELP ASAP
Answer:
Median: 6
Step-by-step explanation:
1,2,3,3,4,4,5,5,5,6,6,6,6,7,7,7,8,8,8,9,9,11
half of 22 (total numbers) is 11, on the 11th spot it is 6
