Answer:
The value of q that makes the expression a perfect square is q = 4.
Step-by-step explanation:
Perfect square:
A perfect square expression has the following format:
[tex](a - b)^2 = a^2 - 2ab + b^2[/tex]
In this question:
[tex]9x^2 - 12x + q[/tex] is a perfect square, we have to find the value of q.
First we have to find the value of a, looking at the equivalent formula above. So
[tex]a^2 = 9x^2[/tex]
[tex]a = \sqrt{9x^2}[/tex]
[tex]a = 3x[/tex]
Since the second term, which is -2ab, is -12x, we have that:
[tex]-2ab = -12x[/tex]
[tex]-2(3x)b = -12x[/tex]
[tex]-6xb = -12x[/tex]
[tex]6b = 12[/tex]
[tex]b = \frac{12}{6}[/tex]
[tex]b = 2[/tex]
q is b squared. So
[tex]q = b^2 = 2^2 = 4[/tex]
The value of q that makes the expression a perfect square is q = 4.
One less than twice a number is four less than its square.
Answer:
The correct answer is 3.
Rationalize 1 plus root 2 divided by 1 minus root 2
If an object has a density of 2 g/cm3, and it is placed in a tank of water, will the object float or sink in water? Explain your answer.
Answer:
The object will sink
Step-by-step explanation:
I) The density of water is 1g/cm³.
II) The object's density is greater than 1g/cm³, thus it will sink.
A bus that is traveling north at 48 km/h slows to a stop to pick up passengers. It then begins moving again. At the next corner, it turns to the east.
a. Identify the speed of the bus.
b. Identify one example of the velocity of the bus.
c. Identify each group of words or phrases that describe acceleration of the bus.
Help! me plsssssssssssssssssssssss
Answer: The area of the composite figure is 240.
Step-by-step explanation: For the area of the rectangle, multiply the length and width. That's 20 x 10, which is 200. Now we have to find the area of the triangle. That's length x height x 1/2. 20 x 4 is 80, and then half of that is 40. Add 200 and 40 to get 240.
Write the first 3 terms of the sequence 2+3
Answer:
5,10,15?
Step-by-step explanation:
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A line segment AD, contains points B & C such that C is between A and D, and B is between A and C. If AB = 6, BD = 23, and AB = CD, find the length of segment AD.
Answer:
If you drew out this line segment with the points in the order we are given them, the segment would be labeled as a, b, c, d in that order. We are given a measure for ab, and we are also given a measure for bd with c being ignored for a minute. The entire length of the segment can be found by adding ab and bd. 6 + 23 = ad and ad = 29. So the length of the whole segment is 29. We have the length of cd given to be equal to ab, so cd = 6. ab + bc + cd = ad and we are looking for bc. Since we have the other lengths and the length of the whole segment, we fill in accordingly: 6 + bc + 6 = 29. Solving for bc we get bc = 17.
Step-by-step explanation: pls brain list
Given the choice between doing an oral and a written report, 18 of the 28 students
chose to do an oral report. Find the ratio of written to oral reports.
The simplified ratio of ratio of written to oral reports is 5:9
Ratio s and proportionGiven the following parameters
Total students = 28 studentsTotal student doing oral =18 students
Total written = 28 - 18 = 10The ratio of written to oral reports is 10:18. The simplified ratio of ratio of written to oral reports is 5:9
Learn more on ratios here: https://brainly.com/question/2328454
You and your friend each deposit $50 in separate savings accounts. Your account earns 2% simple annual interest. Your friend’s account earns 4% simple annual interest. How long does it take for you to earn $20 in interest? How long does it take for your friend to earn $20 in interest?
Plz explain in detail
Answer:
I am will take 20 years to get 20$
My friend will take 10 years to get 20$
Step-by-step explanation:
[tex]Let \: the \: no. \: of \: years : x \\ \\ for \: me \\ x \times (50 \times 2\%) = 20 \\ x \times 1 = 20 \\ x = 20 years\\ for \: my \: friend \\ x \times (50 \times 0.04) = 20 \\ 2x = 20 \\ x = 10 \: years[/tex]
I hope this is be good for you and I want this money
Answer:
You: 20 years
Friend: 1 year
Step-by-step explanation:
The work for you is Underlined
The work for the friend is Italic.
2% times 100=0.02
20=50x0.02t
20=1t
20/1=20
20years4% times 100=0.04
20=50x0.04t
20=2t
20/2=10
10yearsHope this helps!!
What is the measure of Arc I J K?
mArc I J K = °
Answer:
202
Step-by-step explanation:
Answer:
202
Step-by-step explanation:
Common denominator of 3, 4, 5.
Answer:
The LCM of 3,4,5 3 , 4 , 5 is 2⋅2⋅3⋅5=60 2 ⋅ 2 ⋅ 3 ⋅ 5 = 60 .
Step-by-step explanation:
Answer: 60
3 x 4 x 5 = 60
If you invest $5,000 into an account paying 6% interest compounded
continuously, how many years will it take until there is $8,000 in the account?
6.83 years
7.83 years
8.67 years
9.67 years
Answer: 7.83 years
:)))
Atoms are made up of subatomic particles including protons and electrons. The mass of a proton is about 1.6726 x
10-27 kg and the mass of an electron is about 9.1094 x 10-31 kg. Determine how much mass a proton and electron
has combined. Express the result in scientific notation.
O 1.6717 x 10-27
O 16,717 * 10-31
O 1.6735 x 10-27
O 16,735 x 10-31
Answer:
C
Step-by-step explanation:
I got a 100%
how do I solve this problem, I know the correct answer is "e" don't understand how they got it.
Answer:
expand brackets by squaring what's inside the brackets
It’s due tonight I would appreciate the help
Answer:
-1, 4, 6, 8
k<9
Step-by-step explanation:
Two ways to do this
One is to substitute the values in for k and then see if the inequality is still true.
-1, 4, 6, 8, when substituted in for k and then multiplied by 5, will be less then 45.
9, however, does not work because 9 times 5 is 45, which makes the inequality untrue. So, k has to be less than 9.
The faster, more mathematical way is to divide both sides by 5. 5 divided by 5 is 1 and 45 divided by 5 is 9, so the new inequality would be k<9.
factor -4x+24-4x^2completely
Answer: 4(−x+2)(x+3)
Step-by-step explanation:
−4x+24−4x^2
−4x^2−4x+24
4(−x+2)(x+3)
Write a plan to prove that angle 1 is congruent to angle 2
Answer:
alternate interior angles
Step-by-step explanation:
<1 is congruent to <2 by alternate interior angles
help ill give brainliest 9 − 3z + 4 + 6z − 2 = ______
15 + 9z
11 + 3z
11 + 9z
11 − 3z
15 + 3z
Answer:
11+3z
Step-by-step explanation:
You would combine the like terms, 9+4-2 is 11 and 6z-3z=3z
Answer:
[B] 11 + 3zExplanation:
9 − 3z + 4 + 6z − 2
Group Like Terms-3z + 6z + 9 + 4 - 2
Add Similar Elements: -3z + 6z = 3z3z + 9 + 4 - 2
Add / Subtract: 9 + 4 - 2 = 113z + 11I need this solved please.
Answer:
slope = 10/1
Step-by-step explanation:
slope is the vertical rise over the horizontal rise
if you select two points on the line -- I used (10, 0) and (20, 20) -- and subtract the y-values you will get the vertical rise (20 - 0 = 20); if you now subtract the x-values (20 - 10 = 10) you will get the horizontal rise
so, 20/10 or 10/1
if you go from point (10, 0) to (20, 20) then you go up by 10 and over to the right by 1
The height of a rectangle is increasing at a rate of 11 centimeters per hour and the width of the rectangle is decreasing at a rate of 9 centimeters per hour. At a certain instant, the height is 3 centimeters and the width is 8 centimeters. What is the rate of change of change of the area of the rectangle at that instant?
Answer:
-39 cm²/h
Step-by-step explanation:
The area of the rectangle is A = hw where h = height and w = width.
So the rate of change of area with respect to time is
dA/dt = d(hw)/dt
dA/dt = hdw/dt + wdh/dt
Given that at an instant h = 3cm, w = 8 cm and dh/dt = + 11 cm/h and dw/dt = -9 cm/h(negative since it is decreasing)
So, dA/dt = hdw/dt + wdh/dt
dA/dt = 3 cm × (+11 cm/h) + 8 cm × (-9 cm/h)
dA/dt = 33 cm²/h - 72 cm²/h
dA/dt = -39 cm²/h
Please help me with this.
Consider the division expression 712÷2. Select all multiplication equations that correspond to this division expression.
have fun with the question
Answer:
Step-by-step explanation:
You have not provided any equations to choose from.
712÷2 = 712×½
Answer:
712/2 is 356 is that the question
Step-by-step explanation:
hope this helps :D
The graph shows the rate at which two fuel tanks are being filled. Which statement best interprets the distance shown on the graph?
Answer:
Tank B has 4 more gallons than tank A.
Step-by-step explanation:
I need help. What is an example of data where the Empirical Rule applies?
Answer:
Each animal lives to be 13.1 years old on average (mean), and the standard deviation of the lifespan is 1.5 years. If someone wants to know the probability that an animal will live longer than 14.6 years, they could use the empirical rule.
What is the value of x in the equation −x = 3 − 4x + 6? (5 points)
Group of answer choices
−9
−3
3
9
x=3
pls mark as brainliest
Answer:
x=3 is the answer
Step-by-step explanation:
Mark as brainliest please!
Pls help me with this maths question
Answer:
567094, 567904, 576094, 576904
Step-by-step explanation:
You just have to arrange the numbers from the least value
1st drop down answers are
1. NOT VALID
2. VALID
2nd drop down answers are
1. BIASED
2. UNBIASED
3rd drop down answers are
1. APPROPRIATE
2. INAPPROPRIATE
Answer:
uhhh i think all postive.
Step-by-step explanation:
conclusion drawings
The square pyramid shown below has a base with sides of 101010 units. The slant height of the pyramid is 888 units.
Answer:6.12
Step-by-step explanation:
got the answer right
Answer:
on khan the answer is 6.12
What is the difference between the greatest and the smallest rational numbers
given below?
7/15,11/20,2/5,12/25
Answer:
The difference between the greatest and smallest rational number [tex]=\frac{3}{20}[/tex]
Step-by-step explanation:
Step(i):-
Given that the rational numbers
[tex]\frac{7}{15} , \frac{11}{20} ,\frac{2}{5} ,\frac{12}{25}[/tex]
we have to find that the difference between the greatest and the smallest rational numbers
solution:-
The greatest rational number = [tex]\frac{11}{20}[/tex]
Convert into decimal = 0.55
The smallest rational number = [tex]\frac{2}{5}[/tex]
Convert into decimal = 0.4
The difference between the greatest and smallest rational number
[tex]= \frac{11}{20} - \frac{2}{5}[/tex]
= [tex]\frac{11-8}{20}[/tex]
[tex]=\frac{3}{20}[/tex]
Final answer:-
The difference between the greatest and smallest rational number [tex]=\frac{3}{20}[/tex]
round the side length to the nearest tenth and angle measures to the nearest degree
Answer:
1. <A° = 50°
2. CB = 10.7
3. AB = 14
Step-by-step explanation:
1. Determination of angle A.
A° + B° = C°
B° = 40°
C° = 90°
A° + 40° = 90°
Collect like terms
A° = 90° – 40°
<A° = 50°
2. Determination of CB
Angle B = 40
Opposite = AC = 9
Adjacent = CB =?
Length CB can be obtained by using Tan ratio as illustrated below:
Tan B = Opposite / Adjacent
Tan 40 = 9 / CB
0.8391 = 9 / CB
Cross multiply
0.8391 × CB = 9
Divide both side by 0.8391
CB = 9 / 0.8391
CB = 10.7
3. Determination of AB
Angle B = 40
Opposite = AC = 9
Hypothenus = AB =?
The length AB can be obtained by using Sine ratio as illustrated below:
Sine B = Opposite / Hypothenus
Sine 40 = 9 / AB
0.6428 = 9 / AB
Cross multiply
0.6428 × AB = 9
Divide both side by 0.6428
AB = 9 / 0.6428
AB = 14