Answer:
55
Step-by-step explanation:
The values of the x are -6.59, and -9.42 if the quadratic equation is (x + 8)² - 2 = 0.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
The complete question is:
Solve for x.
Enter the solutions from least to greatest. Round to two decimal places.
(x + 8)² - 2 = 0
It is given:
(x + 8)² - 2 = 0
Using (a + b)² = a² + 2ab + b²
x² + 16x + 64 - 2 = 0
x² + 16x + 62 = 0
Compare with the standard form of the equation:
a = 1
b = 16
c = 62
Plug the above values in the formula:
[tex]\rm x = \dfrac{-16 \pm\sqrt{16^2-4(1)(62)}}{2(1)}[/tex]
x = [-16 ±√8]/2
x = [-16 ±2.83]/2
Take + sign:
x = [-16 + 2.83]/2
x = -6.59
Take - sign:
x = [-16 - 2.83]/2
x = -9.42
Thus, the values of the x are -9.42, and -6.59 if the quadratic equation is (x + 8)² - 2 = 0.
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Find sin 0, where is the angle shown.
Give an exact value, not a decimal approximation.
Answer:
[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]
Step-by-step explanation:
Recall that in a right triangle, sine is the ratio of the opposite side to the hypotenuse:
[tex]\displaystyle \sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
We are actually not given the opposite side in this case. However, since we know the hypotenuse and the adjacent side, we can use the Pythagorean Theorem to find the opposite side. So:
[tex]a^2+b^2=c^2[/tex]
Let a be the adjacent side and b be the opposite side. c will be the hypotenuse.
Substitute:
[tex](5)^2+b^2=(13)^2[/tex]
Solve for b:
[tex]b=\sqrt{169-25}=\sqrt{144}=12[/tex]
So, the opposite side measures 12.
Then sine will be:
[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]
WILL MARK BRAINLIEST
solve for x: m(2m-x)=3(x+6) if m≠3
Answer:
x=2m−6
Step-by-step explanation:
Please answer thanks! Brainliest
Answer:
D - T-H is negative
Step-by-step explanation:
So lets go through what we know:
M is on the left side of 0, so M is negative.
A is also one the left side of 0, so A is negative.
T is on the right side of 0, so T is postive
H is also on the right side of 0, so H is postive
Lets go through each answer and see if it is accurate or not:
The sum of M and H is postive.
With what we know, M is negative and H is postive.
Looking at the graph, we can see that M is farther to the left than H is to the right.
So this means that M is a larger negative than H is postive, meaning when we add them together, the answer will be negative, not postive.
Next we have the answer to A divided by H is negative
We know A is negative, and M also negative
Remember, a negative divided or multiplied by a negative is postive.
This is not what our answer states, as it says it should be negative.
So next off, we have the product of H and A is postive.
Product means multipication.
A is negative and H is postive
Since it is multipication, and we know a negative and postive make another negative, this would make it incorrect
The answer states it must be postive, but this is negative.
Finally we have the answer as T-H is negative.
We see that T is postive, and H is postive.
T is less than H is, so when you subtract H from T, you would get a negative.
So D is the answer
Hope this helps!
Determine the maximum or minimum value of the quadratic function from its equation.
Answer:
Below in bold.
Step-by-step explanation:
y = 4(x + 2)^2 + 4
As the coefficient of x^2 is positive it will have a minimum value.
The minimum value is the last term = 4.
hank is studying a population of bacteria and notices that the bacteria population increases by 5% each hour. the function that represents that populations of bacteria has a constant percent of change. true or false
Answer:
True
Step-by-step explanation:
The population always grows by 5%, even though more bacteria are added with each hour. Each hour, due to exponential growth, the population size rises by 5%.
Alice and Bob play a game that begins with flipping a fair coin twice. If the coin lands heads up on both flips, Bob wins. If the coin lands heads up on only one flip, Alice wins. If the coin lands tails up on both flips, they flip two more times, and this process continues until there is a winner. What is the probability that Bob wins the game?
Answer:
0.25 (or [tex]\frac{1}{4}[/tex])
Step-by-step explanation:
As the coin is fair, there is an equal chance the coin lands on heads or tails, therefore:
Probability of heads = 0.5 (or [tex]\frac{1}{2}[/tex])
Probability of tails = 0.5 (or [tex]\frac{1}{2}[/tex])
For Bob to win, the coin must land on heads twice, To work this out, we multiply the two events together.
Probability of 2 heads = 0.5 (probability of landing heads up) x 0.5 (probability of landing heads up) = 0.25 (or [tex]\frac{1}{4}[/tex])
The difference of twice a number and another number is 5. The sum of the two numbers is 19. Find the numbers
Answer:
12 & 7
Step-by-step explanation:
12 + 7=19
12 - 7=5
Answer:
12 & 7
Step-by-step explanation:
*)Solve the system of equations:
x+y=19
x-y =5
=> 2y=14 =>y = 7
y=7 => x = 12
20. Write an expression in simplest radical form to represent the area of the rectangle below.
I need a plain answer please, don't write a paragraph explaining, thank you.
Answer:
Just add them up and you will get this answer
Step-by-step explanation:
Just add them up and you will get this answer
The area of the given rectangle in simplest radical form is [tex]2x(\sqrt{10} + \sqrt{75})[/tex].
What is perimeter ?Perimeter is the sum of all the sides of any given 2D plane figure except circle.A circle has a perimeter or circumference of 2πr.
According to the given question we have to write an expression in simp[lest radical form that represents the area of the rectangle.
We know area of a rectangle is product of it's length and width.
Given length is = [tex]\sqrt{2x} + \sqrt{15x}[/tex] and width is = [tex]2\sqrt{5x}[/tex].
∴ The area of the rectangle will be = [tex](\sqrt{2x} + \sqrt{15x})[/tex][tex](2\sqrt{5x})[/tex] .
= [tex]2\sqrt{10x^2}[/tex] + [tex]2\sqrt{75x^2}[/tex].
= [tex]2x\sqrt{10} + 2x\sqrt{75}[/tex].
= [tex]2x(\sqrt{10} + \sqrt{75})[/tex].
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Enter an expresion equivalent to
(5x – 6y + 7) - (-x + 5y - 8)
In 20 words or fewer, can 8 • 7 • 6 be written as 8! . . . and why or why not?
Answer:
No, because factorials are product of all positive integers less than or equal to a given positive integer.
Please help I’ll give brainliest
sam can walk 1/3 mile in 12 minutes what is her average speed in miles per hour
Answer: 1.67 mph
Step-by-step explanation:
Given
Sam walk one-third of a mile in 12 minutes
There is 60 minutes in an hour i.e. Sam take
[tex]\Rightarrow t=\dfrac{12}{60}\\\\\Rightarrow t=0.2\ hr[/tex]
Average speed is given by
[tex]\Rightarrow v_{avg}=\dfrac{\text{distance}}{\text{time taken}}\\\\\Rightarrow v_{avg}=\dfrac{\frac{1}{3}}{0.2}\\\\\Rightarrow v_{avg}=\dfrac{5}{3}\ \text{or}\ 1.67\ mph[/tex]
VWX and TUX are equilateral complete proof that UV = TW
Answer:
6. Side Angle Side (SAS)
7. Definition of congruence
Step-by-step explanation:
With the condition that ΔVWX and ΔTUX are equilateral, then the proof are stated below:
Statement Reason
1. ΔVWX is equilateral Given
2. ΔTUX is equilateral Given
3. VX ≅ WX Definition of equilateral triangle
4. TX ≅ UX Definition of equilateral triangle
5. <TXW ≅ <UXV Vertical Angle Theorem
6. ΔTWX ≅ ΔUVX Side Angle Side (SAS)
7. UV ≅TW Definition of congruence
What is the ratio of the circumference to the diameter is
Answer:
circle are all similar , and " the circumference divided by the diameter " produces the same value regardless of their radius . this value is the ratio of the circumference of a circle to it's diameter and called r (pi)Set X is made up of the possible ways five students, represented by A, B, C, D, and E, can be formed into groups of three. Set Y is made up of the possible ways five students can be formed into groups of three if student A must be in all possible groups. Which statements about the situation are true? Select three options.
I NEED THIS RIGHT AWAY
Set X has 10 possible groupings.
X Y
Set Y = {ABC, ABD, ABE, ACD, ACE, ADE}
If person E must be in each group, then there can be only one group.
There are three ways to form a group if persons A and C must be in it.
The answer is
A. Set X has 10 possible groupings.
C. Set Y = {ABC, ABD, ABE, ACD, ACE, ADE}
E. There are three ways to form a group if persons A and C must be in it.
Good luck :)
Answer:
It’s A,C,E
Step-by-step explanation:
i did the quiz friends
ur wlcm :)
hope i helped /made life easier
Help me! PLEASE! help help help help help help help help help help help help!!!!!!
Sara's results probably do have a higher mean, if we take into account how William is way more willing to pay 20 dollars. Honestly, I think you got your chosen answers right! Just my opinion, as someone inexperienced.
This table shows the number of goals scored in 25 Premier League football matches
Work out the
mean range and median
I need help with number 3 plz! And if u can can u also help me with 4 and 5!
The answer is attached above. I hope this helps!
can someone help me with my delta math assignments i'll give you brainiest and 80 points or more
sure what is it about maybe I can help you if it's possible
Grafique las siguientes funciones afines:
a) f (x) = x - 4
b) f (x) = 3x + 2
Answer:
below
Step-by-step explanation:
that is the procedure above
what is the right answer
Answer:
[tex]8\sqrt{3}[/tex] [tex]\text{in.}[/tex]
Step-by-step explanation:
60 · 60 · 60
60³ = 180
Diameter - 8
3 sides, diameter 8 = answer.
Answer:
D) [tex]4\sqrt{3}[/tex]
Step-by-step explanation:
[tex]x = \sqrt{8^{2} - 4^{2} } = \sqrt{48}= \sqrt{4*16}= 4\sqrt{3}[/tex]
If you place a 34 foot ladder against the top of a building and the bottom of the ladder is 25 feet from the bottom of the building how tall is the building?
Which is the graph of y- 3 = -2/3(x + 6)?
Answer:
put points on (1.5, 0) and (0, -1), then draw a continuous line through them
Step-by-step explanation:
y - 3 = -2/3(x + 6)
y - 3 = (-2/3)x - 4
y = (-2/3)x - 1
0 = (-2/3)x - 1
1 = (-2/3)x
x = 3/2 = 1.5
y = (-2/3)(0) - 1
y = -1
Add. You will need to REDUCE your answer.
6 11/15 + 1 3/5
Answer:
7 14/20
Step-by-step explanation:
i hope na makatulong to sa inyo
A right triangle has side lengths d, e, and f as shown below use these lengths to find sinx, cosx, and tanx
Answer:
sinx= d/f
cosx= e/f
tanx= d/e
What is the difference from c(2,-1) to d(5,3) a.5 units b.25 units c. 1 unit d.
====================================================
Explanation:
The two points given are
C = (x1,y1) = (2,-1)
D = (x2,y2) = (5,3)
Use the distance formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(2-5)^2 + (-1-3)^2}\\\\d = \sqrt{(-3)^2 + (-4)^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]
The distance from C to D is 5 units. This is the same as saying segment CD is 5 units long.
Need LOTS of help, I suck at math!
Drag the numbers to label the points plotted on the number line.
Answer:
First Box: -10/5
Second Box = -1.25
Third Box = -0.5
Fourth Box = 0.75
Fifth Box = 3/2
Step-by-step explanation:
NOTE: I AM SAYING THIS FROM LEFT TO RIGHT
Answer:
The first box should be -[tex]\frac{10}{5}[/tex] ;
The 2nd box should be -1.25 ;
The 3d box should be -0.5 ;
The 4th box should be 0.75 ;
The 5th box should be 3/2 which is the last box left.
I need the answer for the problem that’s above done can someone help? please.
what is the result of 5.021 + 0.099
Answer:
5.12
Step-by-step explanation:
5.021+.099 is the problem
we can ignore the 5 for now. .021+.099= .120
now we bring back the 5
5.120=5.12
Expand. If necessary, combine like terms. (x+3)(x-3)=
Answer:
[tex] {x}^{2} - 9[/tex]
Step-by-step explanation:
[tex](x−3)(x+3)[/tex]
[tex]x(x+3)−3(x+3)[/tex]
[tex]x \times x+x \times 3−3x−3 \times 3[/tex]
[tex]x \times x−3 \times 3[/tex]
[tex] {x}^{2} - 9[/tex]
Hope it is helpful....