Answer:
see below
Step-by-step explanation:
I'm assuming you want to find the roots for this equation?
using the quadratic formula: [tex]x_{1,\:2}=\frac{-\left(-10\right)\pm \sqrt{\left(-10\right)^2-4\cdot \:2\left(-4\right)}}{2\cdot \:2}[/tex]
[tex]x=\frac{5+\sqrt{33}}{2}[/tex] & [tex]\:x=\frac{5-\sqrt{33}}{2}[/tex]
Answer:
[tex]x_1 = \frac{5 - \sqrt{33}}{2}\\x_2 = \frac{5 + \sqrt{33}}{2}[/tex]
That's assuming we were supposed to solve for x.
Step-by-step explanation:
[tex]ax^2 + bx + c = 0\vspace{3pt}\\\Delta = b^2 - 4ac\vspace{4pt}\\x = \frac{-b \pm \sqrt{\Delta}}{2a}\\\\2x^2 - 10x - 4 = 0\\x^2 - 5x - 2 = 0\\\Delta = (-5)^2 - 4\cdot 1\cdot (-2) = 25 + 8 = 33\\x_1 = \frac{5 - \sqrt{33}}{2}\\x_2 = \frac{5 + \sqrt{33}}{2}[/tex]
Brad says 24 ÷ 3 is the same as 3 ÷ 24 because the commutative property works for multiplication, and multiplication and division are related. Cheryl says the order does matter, so 24 ÷ 3 is not the same as 3 ÷ 24. Who do you agree with? Justify your reasoning.
Answer:
I agree with Cheryl.
24 ÷ 3 = 8
3 ÷ 24 = [tex]\frac{1}{8}[/tex]
Commutative property works for multiplication because when you multiply two numbers, you have repeated addition. No matter which way you add up the numbers, you will get the same result. When you divide, you are breaking up a certain number by a certain number. If they are not the same number, you will get a different result.
The line segment between (9,6) and (-2,-1) is bisected at (3.5,2.5). Find the y-intercept of the perpendicular bisector.
Ans: y-intercept = (0, _____)
Answer:
Y-intercept is (0,8)
Step-by-step explanation:
Firstly, we need to get the equation of the line segment
We have the general equation as;
y = mx + b
m is the slope and b is the y-intercept
So for the slope between (9,6) and (-2,-1); we have
m = (y2-y1)/(x2-x1)
m = (-1-6)/(-2-9) = -7/-11 = 7/11
Mathematically, when two lines are perpendicular, their slopes have a product of -1
Let the slope of the second line be m
m * 7/11 = -1
7m = -11
m = -11/7
The equation of the second line is;
y = mx + b
y = -11x/7 + b
The line passes through the point (3.5,2.5)
So,
2.5 = -11/7(3.5) + b
2.5 = -5.5 + b
b = 2.5 + 5.5
b = 8
so the y-intercept of the perpendicular bisector is 8
What is the shortest possible perimeter for an arrangement with an area of 15 square feet? Please get me the answer as soon as possible!!!!!!!!!!!
Answer:
The shortest possible perimeter is: [tex]4\sqrt{15}[/tex]
Step-by-step explanation:
Given
[tex]A = 15[/tex] --- area
Required
Find the shortest possible perimeter
Area is calculated as:
[tex]A=l * b[/tex]
This gives:
[tex]l * b = 15[/tex]
Make l the subject
[tex]l=\frac{15}{b}[/tex]
Perimeter is calculated as:
[tex]P =2(l + b)[/tex]
Substitute [tex]l=\frac{15}{b}[/tex]
[tex]P =2(\frac{15}{b} + b})[/tex]
Rewrite as:
[tex]P =2(15b^{-1} + b)[/tex]
Differentiate and minimize;
[tex]P' =2(-15b^{-2} + 1)[/tex]
Minimize by equating P' to 0
[tex]2(-15b^{-2} + 1) = 0[/tex]
Divide through by 2
[tex]-15b^{-2} + 1 = 0[/tex]
[tex]-15b^{-2} = -1[/tex]
Divide through by -1
[tex]15b^{-2} = 1[/tex]
Rewrite as:
[tex]\frac{15}{b^2} = 1[/tex]
Solve for b^2
[tex]b^2 = \frac{15}{1}[/tex]
[tex]b^2 = 15[/tex]
Solve for b
[tex]b = \sqrt{15[/tex]
Recall that: [tex]P =2(\frac{15}{b} + b})[/tex]
[tex]P = 2 * (\frac{15}{\sqrt{15}} + \sqrt{15})[/tex]
[tex]P = 2 * (\sqrt{15} + \sqrt{15})[/tex]
[tex]P = 2 * (2\sqrt{15})[/tex]
[tex]P = 4\sqrt{15}[/tex]
The shortest possible perimeter is: [tex]4\sqrt{15}[/tex]
Find the value of x. Round to the nearest tenth. Assume that segments appearing to be tangents are tangent to the circle.
Answer:
x=8.4Step-by-step explanation:
[tex](2x)^{2} +12.6^{2} =21^{2} \\\\4x^{2} +158.76=441\\\\4x^{2}441-158.76\\\\4x^{2} =282.24\\\\x^{2} =70.56\\\\x=8.4[/tex]
hope it helps....
have a great day :)
What's the slop and y intercept of 4y = 2x - 12
Answer:
slope: [tex]\frac{1}{2}[/tex]
y-intercept: (0,-3)
Step-by-step explanation:
First, place the equation in slope-intercept form to identify the slope and y-intercept easily. Isolate the y in the equation to do this:
[tex]4y = 2x-12\\\frac{4}{4} y = \frac{2}{4} x-\frac{12}{4} \\y = \frac{1}{2} x-3[/tex]
Now that the equation is in slope-intercept form, it is much easier to find the slope and y-intercept of the equation. Remember that the slope-intercept formula is [tex]y = mx + b[/tex].
In an equation written in slope-intercept form, the [tex]m[/tex], or the coefficient of the x-term, represents the slope. So, the slope of his equation is [tex]\frac{1}{2}[/tex]. Also, the [tex]b[/tex], or the constant on the right side of the equation, represents the y-intercept. So, the y-intercept of this equation is (0,-3).
In ANOP, n = 92 inches, o = 60 inches and _P=166º. Find the area of ANOP, to the
nearest square inch.
Answer:
152
Step-by-step explanation:
The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled
using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of
$45 per hour. The plumber works a maximum of 8 hours per day.
For one day of work, what is the range of the function for this situation?
A0
B 80
C 0
D 45 < < 685
Answer:
i have the same question
Step-by-step explanation:
i have the same question
Find the height of a triangle with a base of 6.4 meters and an area of 22.4 square meters
Answer:
Its height would be 7 meters.
HELPP ME PLEASEEE ITS DUE TODAY!!!!
Answer:
c= 3/4 but in decimal form it will be 0.75
Step-by-step explanation:
Answer:
The answer is 3/4.
Check the pic for explanation
thank you:)
if it is correct please mark me brainliest
Charley's grade in the three quarters are 85, 88, and 92. If she targets to have an average
grade of greater than 90 in the four quarters this school year, what is the least grade she
should have for the fourth quarter?
Step-by-step explanation:
We can set up an average equation in the form, where x is the last score in the fourth quarter:
[tex]\frac{85 + 88 + 92 + x}{4} = 90[/tex]
[tex]85 + 88+92 + x =360\\\\x = 95[/tex]
She needs at least a 95 on the last quarter to average 90 in all four quarters.
In 0.98, In which place is the 8?
Answer:
hundredths place
Step-by-step explanation:
hope this helps
Answer:
hundredths' place
Step-by-step explanation:
The first digit after the decimal represents the tenths place. (In this case, it's 9) The next digit after the decimal represents the hundredths place. In this case, it's 8 !
plss help i’ll give brainliest thank you!
Answer:
D
Step-by-step explanation:
As,
-10 is always greater than -13
Hence, -13 < -10
Simplify the expression.
(–8x) • 3x2
A. –5x3
B. –24x2
C. –24x3
D. –5x2
Answer:
-48 b
Step-by-step explanation:
What is the y-intercept of the line?
A: -2
B: 0
C: 1
D: 1/2
Answer:
C: 1
this answer is c because the line is one the Y intercept of 1
Help brainliest question!!!
Answer:
The second option
Step-by-step explanation:
Since root 16 is an integer (4), the second option produces the fraction 4/5 which is rational.
PLEASE HELP ME ITS MY LAST QUESTION!!
Write three very large numbers and three very small numbers. Now write them using scientific notation. Then
perform one calculation with the numbers.
100 = 10^2
1000 = 10^3
10000 = 10^4
0.1 = 10^(-1)
0.01 = 10^(-2)
0.001 = 10^(-3)
Now,
100 × 0.1 = 10^2 × 10^(-1)
= 10
Help me with these ASAP!!!!!!
Answer:
4
Step-by-step explanation:
Answer:
4) volume =288
5) 4=r
Step-by-step explanation:
Question 4
volume=length*width*height
volume= 3*8*12
volume=288
question 5
V=pie r^2*h
144pie=pie r^2 *9
144/9=r^2
16=r^2
4=r
PLSSSSS HELP PLS QUICKLY PLS
Answer:
-64
Step-by-step explanation:
we should put -2 for j and -1 for k,
Answer:
the answer is 64
pls help me out! how do you determine the period of the graph?
Answer:
4π
Step-by-step explanation:
Periodic graphs repeat the same pattern. Here we have a cosine function which clearly repeats itself. Start at (0, 1) and count the number of squares to the right before the graph looks the same; this occurs at (4π, 1). x has increased from 0π to 4π. Thus, the period is 4π.
so uh for my work I need to find out what 1+1 is, anyone know the answer? i'm really stumped on this one...
Answer:
i actually dont know my guy, sorry im also stuck on this one.
Step-by-step explanation:
jp
it 2 my favorite person on the world!
u sure are funny
Answer:
1+1=11
Step-by-step explanation:
I'm sure EVERYONE knows that lol
The PTA needs to know about how many parents will be coming to the March fundraiser. Which is the BEST method to use to estimate the number?
A) Send a survey home with each student.
B) Ask the parents who are at the February meeting.
C) Use the total number of students enrolled in the school.
D) Ask the students if their parents will be at the fundraiser.
Answer:
A or b
Step-by-step explanation:
9
1 point
Karla needs a box to pack her fish tank shown below. How many square feet of cardboard does she need to buy?
5
4 ft
6
2ft
6 ft
7
56 ft2
48 ft2
8
Ο Ο Ο Ο.
32 ft2
88 ft
Next
10
Previous
Answer:
give the full questions
Solve the problem and enter your answer below.
What is 62% of 29?
I will mark you brainiest if you can answer this
Answer:
9 buses
12 cars
(Step-by-step explanation:
x=bus x+y=21 --> y=-x+21
30x+4y=318 --> y= -30x/4 + 318/4
y=car
x= 9
y=12
:) hope this help
If x=1/2 and y=6x, what is the value of 8x/2y
Answer:
x = 1/2 and y=6x, so 8x/2y = 8(1/2)/2(6*1/2) = 4/6 = 2/3
Step-by-step explanation:
Which of the following lengths can be the sides of a triangle?
A 127 cm, 90 cm, and 32 cm
B 83 cm, 50 cm, and 33 cm
C 44 cm, 30 cm, and 16 cm
D 50 cm, 30 cm, and 19 cm
Answer:
C. 44 cm, 30cm, and 16 cm
Step-by-step explanation:
Sana nakatulong
Are the following figures Congruent, and similar? I need help please.
Answer:
1. possibly congruent
2. possibly congruent
3. congruent
4. similar
Step-by-step explanation:
It is impossible to tell for the first two. In order to be congruent they must have the measurements (lengthes& angles) for all coordinating sides and angles. Since we don't have that info we can only guess and since the look exactly the same we can guess they are congruent.
The third one being on the graph we can tell these are congruent.
the fourth one is obviously not congruent because the side lengths are different. We are guesing that the coordinating angles are congruent
the question did not give enough information to properly answer the questions with confidence
find the volume of the sphere. leave your answer in terms of pi
r=4
Answer:
To find an answer in pi square the radius and multiply by pi
Step-by-step explanation:
To
find volume of a sphere = 4/3Πr³
Answer =17,164.2pi Am not sure but i hope its correct.
the bathroom wall is 5.5 feet long what is the length of the wall in inches
Answer:
the wall is 66 inches long
Step-by-step explanation:
hope this helps :)
The volume of a rectangular prism is 360 cubic feet. If the area of the base is 12 square feet, how tall is the prism
Answer:
30ft
Step-by-step explanation:
Given data
Volume= 360 ft^3
Area= 12 ft^2
We know that the expression for volume is
Volume= Area*Height
Substitute
360= 12*h
h= 360/12
h= 30 ft
Hence the height of the prism is 30ft