Answer:
(5/2)² must be added to the equation to complete the square.
Step-by-step explanation:
The given equation is
x^2+5x+10=0
writing it in in square form
(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0
We multiply (5/2) to the mid term because we have to make 2x equal to 5x.
As the square formula tells that square of first element plus 2 into first element multiplied by second element plus square of second element.
Making 2x equal to 5x gives (5/2) as the second element.
Therefore add square of the second element but also subtract square of second element to make it equal to the given original equation.
Now we can solve it.
(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0
(x + 5/2)²-(5/2)² + 10= 0
(x + 5/2)²- 25/4+ 10= 0
(x + 5/2)²- 25*5 +10*5/4*5= 0
(x + 5/2)²- 125+50/20= 0
(x + 5/2)²- 175/20= 0
(x + 5/2)²= 175/20
The area of the right triangle shown is 30 ft squared. The segment XY has a length of 5 ft. Find the length of the hypotenuse.
Answer:
Hypotenuse is 13 ft.
Step-by-step explanation:
A=(1/2)bh
30=(1/2)(5)(h)
30=2.5h
h=12 so ZY = 12ft
Then
[tex]a^{2} +b^{2} =c^{2} \\5^{2} +12^{2} =c^{2} \\25+144=c^{2} \\169=c^{2}\\13=c[/tex]
Assume that a sample is used to estimate a population proportion p. Find the 99.9% confidence interval for a sample of size 247 with 85% successes. Enter your answer as a tri-linear inequality using decimals (not percents) accurate to three decimal places
Answer: [tex]0.791\leq p\leq0.909[/tex]
Step-by-step explanation:
The confidence interval for the population proportion is given by:-
[tex]\hat{p}\pm z^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex]= sample proportion, n =sample space , z* = critical z-value.
As per given, we have
[tex]n = 247[/tex]
[tex]\hat{p}=0.85[/tex]
Critical value for 99.9% confidence = 2.576
The required confidence interval will be:
[tex]0.85-2.576\sqrt{\frac{0.85\times0.15}{247}}\leq p\leq 0.85+2.576\sqrt{\frac{0.85\times0.15}{247}}\\\\\Rightarrow\ 0.85-(0.058526)\leq p \leq0.85+(0.058526)\\\\\Rightarrow\ 0.791474\leq p\leq0.908526\approx0.791\leq p\leq0.909[/tex]
The required confidence interval: [tex]0.791\leq p\leq0.909[/tex]
find the diameter of a circle with the circumference of 10cm
The two quantities are in proportion. Find the missing value.
Answer:
297
Step-by-step explanation:
Since we have to make 9 as the whole, and 33 is the denominator to make 9, we need to multiply 9*33=297.
This makes no sense if you hear it. But trust me it is the right answer i think.
picture, will give brainliest if its correct!!
Answer: the answer is 100
Step-by-step explanation:
Use the grouping method to factor this polynomial completely.
4x^3 + 8x^2 + 3x + 6
A. (4x^2 + 2)(x+3)
B. (4x^2 + 3)(x+2)
C. (4x^2 + 2)(x+ 2)
D. (4x^2 + 3)(x + 3)
Answer:
B. (4x^2 + 3)(x+2)
the bearing of point x from point is 148 find the bearing of y from x solve it
Help ! ASAP! I need it done by 10:45
Answer:
13%
Step-by-step explanation:
Its out of 100 people so:
47+33+7 = 87% own a pet
100-87=13%
Solve 19=4x+3 .
x = __
Answer:
x = 4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
19=4x+3
-4x=3-19
-4x/-4= -16/-4
x=4
can someone pls pls help me ?
Answer: Dime
Step-by-step explanation: A half-dollar coin is 50 cents. A quarter is worth 25 cents.
50 + 25 = 75 cents.
75 + 10 = 85 cents.
A half-dollar + a quarter + a dime = 85 cents.
I hope this helps!
How much paper is needed to cover a square-based pyramid with sides that are 3 inches and faces that have a height of 5 inches?
Answer:You get 21 Square inches i believe
Step-by-step explanation:
Answer:20
Step-by-step explanation:
what does sides of equal length mean
Answer:
equilateral
Step-by-step explanation:
A shape is equilateral if all the sides are the same length. In geometry class, people learn about many shapes, such as triangles and squares. A square is equilateral, because all of its sides are the same length. ... The word equal should help you remember what equilateral means.
Answer:
An isosceles triangle has 2 sides of equal length . The dashes on the lines show they are equal in length. The angles at the base of the equal sides are equal.An equailateral triangle has 3 sides of equal length.
PLZZZ HELPPPP!!!!
For each of the following statements, create a data set that makes the statement true. Each data set should have at
least 10 data points. For each data set, calculate the mean and the median and construct a boxplot.
a. For one data set, the mean is much less than the median.
b. For one data set, the mean is much greater than the median.
c. For one data set, the mean and median are about the same.
Find the value of x to the nearest tenth.
46°
Х
20°
Answer:
x = 14.7
Step-by-step explanation:
law of sines:
sin 20°/7 = sin 46°/x
x ·sin(20°) = 7 ·sin(46°)
x = 7 ·sin(46°) / sin(20°)
x = 14.722
Harry solved a quadratic equation. His work is shown below.
In which step did Harry make an error?
(x - 5)² + 6 = 42
(x - 5)^2 = 36 Step 1
x- 5 = 6 step 2
x = 11 Step 3
Choose 1 answer:
Step 1
Step 2
Step 3
Answer:
x = 11 or x = -1
Step-by-step explanation:
(x-5)^2 = 36
(x-5) = 6 or (x-5)= -6
then x = 11 or x = -1
Answer:
Step 2
Step-by-step explanation:
help me ill give u 11 points if u do this for me !!!
Answer:
I believe it's the third and fourth answers.
Step-by-step explanation:
Helpppppp!!!!!!!!!!!!!
============================================================
Explanation:
As the diagram shows, we have a triangular face with a base of b = 18 and height of h = 13. The area of this triangular face is:
A = 0.5*b*h
A = 0.5*18*13
A = 117 square cm or cm^2
This represents the area of one face, but there are 4 identical copies of this triangular face assuming this tetrahedron is a regular polyhedron. So we have a total surface area of 4*117 = 468 cm^2 which points us to choice B
This is the amount of paint you'll need to cover the outer surface of the pyramid, or you can think of it as the amount of wrapping paper needed. This assumes there are no gaps or overlaps.
Help me plzz i beg u
Answer:
Step-by-step explanation:
Factor to write an equivalent expression.(What is the Greatest Common Factor?).
−9x+15y
Answer:
GCF is 3
Step-by-step explanation:
Given the expression -9x + 15y
First, we need to find ther individual factors
-9x = -3 *3 * x
15y = 3 * 5 * y
Since 3 is common to both factors
−9x+15y = 3(-3x+5y)
Hence the GCF is 3
Six friends are sharing the cost for a pizza
party p equally. Each person paid $15.25.
Find the total cost of the pizza party.
Answer:
4
Step-by-step explanation:
Distributive property of 2x(7+4)
[tex]22[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]2\times(7 + 4) \\ = 2 \times 11 \\ = 22[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Find the value of the variables please please help me out I will mark you the brainly! Please please
Answer:
[tex]20 = \frac{Far \ arc - Near \ arc}{2}\\\\20 = \frac{160 - (2m +12)}{2}\\\\40 = 160 - (2m + 12)\\2m + 12 = 160 - 40\\2m = 120 -12\\2m = 108\\m = 54[/tex]
Answer:
m = 54
Step-by-step explanation:
The secant- secant angle 20° is half the difference of the intercepted arcs, that is
[tex]\frac{1}{2}[/tex] (160 - 2m - 12) = 20° ( multiply both sides by 2 to clear the fraction )
- 2m + 148 = 40° ( subtract 148 from both sides )
- 2m = - 108 ( divide both sides by - 2 )
m = 54
PLEASE THIS IS TIMED I REALLY NEED HELP
PLEASE ONLY PUT CORRECT ANSWER!! :)
answers :
10^21
10^42
24^21
24^42
Answer:
the answer is ..........
c: 24^21
What is the volume of a sphere with a diameter of 9.1 m, rounded to the nearest tenth of a cubic meter?
Answer: 394.6 m^3
Step-by-step explanation:
-
the p/q form of 0.719 where p and q are integers is
Answer:
p/q=0.719
p/q =719/1000
That's your answer
A random sample of 18 adults, chosen from the 1500 adults in the town, took a survey asking their opinion on a recent property tax change. 25% of those who responded said they were in favor of the change. The company running the survey wants to construct a confidence interval estimating the proportion of all adults in the town who support the change. Which of the conditions for inference have been satisfied?
Answer: Random condition
10% condition
Step-by-step explanation:
The conditions for inference that have been satisfied will be:
• Random condition: This has been satisfied since a random sample of 18 adults were taken from 1500 adults.
• 10% condition: Since 25% of those who responded said they were in favor of the change, then the 10% condition is satisfied.
Explain two different ways that you can solve the exponential equation 3^x+2=8 .
Answer:
solving a quadratic equation by factoring
using the quadratic formula
Step-by-step explanation:
What is the slope of the line??
Answer:
The slope is -1/2
Step-by-step explanation:
slope is found by putting the rise over run, which is -2/4 or -1/2
What is the volume of a sphere with a radius of 31.6 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
The answer is 132175.2 cubic centimeters or 1.3 times 10^5 cubic centimeters in scientific notation.
Step-by-step explanation:
To solve for the volume of the sphere, start by using the formula for the volume of a sphere, which is V= [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex].
Next, plug in the information given from the question into the formula. The formula will then look like V= [tex]\frac{4}{3}[/tex]([tex]\pi[/tex])([tex]31.6^{3}[/tex]).
Then, simplify and solve for the answer. The final answer is 132175.2 cubic centimeters or 1.3 times 10^5 cubic centimeters in scientific notation.
Find the value of x. Please help
Answer:
64
Step-by-step explanation:
height of the hypotenuse:
[tex]\sqrt{60^2-36^2} = \sqrt{3600 - 1296} = \sqrt{2304} = 48[/tex]
36 : height = height : x
36 : 48 = 48 : x
x= 48^2/36 = 64
Answer:
X = 64
Step-by-step explanation:
Pythagoras Theorem
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