The expression 'x squared minus 9' represents a difference of two squares. It can be factored using the rule a² - b² = (a - b)(a + b), resulting in (x - 3)(x + 3).
Explanation:The expression x squared minus 9 is a difference of two squares, which can be factored into two binomials. The general rule for factoring a difference of squares is that a² - b² = (a - b)(a + b). Therefore, x² - 9 can be factored as (x - 3)(x + 3). Here, 'x' is the square root of 'x²' and '3' is the square root of '9'. Thus,
x² - 9 = (x - 3)(x + 3).
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The expression 'x squared minus 9' is factored as (x - 3)(x + 3) using the difference of squares rule in algebra.
Explanation:Factoring the expression x squared minus 9 is an application of a rule in algebra known as the difference of squares. The difference of squares rule states that for any two terms a and b, the difference of their squares can be factored as (a - b)(a + b). Apply this rule to the given expression x squared minus 9
by considering 'x' as 'a' and '3' as 'b' (since 3 squared is 9), we get (x - 3)(x + 3) as the result. So, x squared minus 9 factors into (x - 3)(x + 3).
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PLZ HELP ASAP
!!!!!!
Answer:
m<A = 133
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
That means that m<A + m<C = 180.
m<A + m<C = 180
4x + 5 + x + 15 = 180
5x + 20 = 180
5x = 160
x = 32
m<A = 4x + 5
m<A = 4(32) + 5
m<A = 128 + 5
m<A = 133
Help please! (seventh grade math)
Answer:
9
Step-by-step explanation:
If original rect was 5 square units and if new rect is 45 square units, then
scale factor = 45/5 = 9
Answer:
The scale factor is 3
Step-by-step explanation:
The area of rectangle N is 5 units
The area of rectangle P is 45 units
Distance is times the scale factor
Area is times the scale factor squared
Volume is the scale factor cubed
Area of rectangle N * scale factor squared = Area of rectangle P
5 * SF ^2 = 45
Divide each side by 5
5/5 * SF ^2 = 45/5
SF ^2 = 9
Now we need to take the square root of each side to find the scale factor
sqrt(SF ^2) = sqrt(9)
SF = 3
Rory is staying in a cabin on a hill 300 feet above sea level. She walks down the hill to the water’s edge. The equation of her average change in elevation over time is e = 300 – 10t, where t is the time in minutes since she left the cabin, and e is her elevation with regard to sea level. Which values are viable points, and what are their values in the table relating t and e?
For this problem, we plug in the numbers for t and the appropriate letters for e to the equation e = 300 - 10t.
a) a = 300 - 10(-2)
simplify: a = 300 + 20
simplify: a = 320 ft.
But, this is not a viable point because when t≤0, she doesn't move anywhere, thus, should consistently be 300 ft.
b) b = 300 - 10(3.5)
simplify: b = 300 - 35
simplify: b = 265 ft.
c) c = 300 - 10(30)
simplify: c = 300 - 300
simplify: c = 0 ft.
who ever answers first gets the brainliest :)
Answer:
Step-by-step explanation:
one head is 1/2 tails twice is 1/4
multiply and get 1/8 but thats not the answer yet
a possibility could be htt or tht
so u muiltiply by number of possibilities of one head which 3!/2!
3/8
Answer:
[tex]\frac{3}{8}[/tex] is the probability of getting exactly one heads.
Step-by-step explanation:
Probability : It is defined as the extent to which an event is likely to occur. That means, it is measured by the ratio of the favorable outcomes to the total number of possible outcomes.
[tex]\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}[/tex]
We have : sample space = S =[HHH,HHT,HTH,HTT,THH,THT,TTH,TTT ]
Favorable outcomes of getting single head (H) = [HTT, THT, TTH]
Probability of getting single heads = P(H)
P(H) = [tex]\frac{3}{8}[/tex]
[tex]\frac{3}{8}[/tex] is the probability of getting exactly one heads.
On a map, Clemonsville and Durant are 120 miles apart. How fast is a car traveling if it takes 3 hours to get from Clemonsville to Durant?
A. 30mph
B. 36 mph
C. 40 mph
D. 45 mph
Answer:
40 mph
Step-by-step explanation:
120/3=40
What is the answer thank you
b. alternate angles are equal
hope this helps!!
b.) alternate angles are equal
If a transversal intersects two parallel lines, each pair of alternate angles are equal.
Given: Two parallel lines and a transversal.
Prove: Each pair of alternate angles are equal (same degrees).
Alternate interior angles are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The theorem says that when the lines are parallel, that the alternate interior angles are equal
Try using a protractor to measure the angles to prove that they have the same angle degrees.
Two planes which are 1680 miles apart fly toward each other. Their speeds differ by 40 mph. If they pass each other in 2 hours what is the speed of each?
The slower plane is flying at a speed of 380 mph and the faster plane is flying at a speed of 420 mph.
Explanation:For your question, we can use the rates, times, and distances properties for the two planes.
Scene: Two planes are flying towards each other, so their speeds will add up. Their total combined distance covered will be 1680 miles (they cover this in 2 hours). As stated, the speed difference between the two planes is 40 mph.
Let's denote the slower plane's speed as x (in mph) then the speed of the faster plane will be x + 40 mph.
For each plane, we know that distance = speed * time, so over those 2 hours, the slower plane travels 2x miles and the faster one travels 2*(x + 40) miles. The total distance both planes traveled is 1680 miles, so we can set up the following equation:
2x (slower plane's distance) + 2(x + 40) (faster plane's distance) = 1680
Solving this equation for x, we get x = 380 mph. Therefore the slower plane speed is 380 mph and the faster plane speed is 380 mph + 40 mph = 420 mph.
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50 POINTS TO THE FASTEST CORRECT ANSWER
John runs a frozen yogurt stand and a sandwich shop. Last month, John lost $195 running the frozen yogurt stand, and he lost 7 times as much running the sandwich shop. Approximately how much money did John loe running the sandwich shop last month?
A: $1,400
B: $1,300
C: $1,500
D: $1,200
Answer:
A: 1,400
Step-by-step explanation:
$196 * 7 = 1365
rounded up to 1,400
What is the value of n?
Enter your answer in the box.
Answer: 13
Step-by-step explanation:
you subtract 15 and 2 you will get 13
Find the lengths of AC and BD
Answer: AC = 15, BD = 7.2
Step-by-step explanation:
Use Pythagorean Theorem to solve for AC:
AB² + BC² = AC²
12² + 9² = AC²
144 + 81 = AC²
225 = AC²
√225 = √AC²
15 = AC
To solve for BD, set up a proportion using the the small side and hypotenuse of ΔABC and ΔADB.
[tex]\dfrac{s}{h}:\dfrac{9}{15}=\dfrac{BD}{12}[/tex]
[tex]\dfrac{9(12)}{15}=BD[/tex]
7.2 = BD
Plzz help! I don't know fraction that well.
Answer:
It's the 2nd one.
Step-by-step explanation:
-1 1/8, - 5/8, 0, 1/2, and 6.
what is 1800 to the nearest 100th
A hundredth is 0.01
A hundred is 100.
You look at the digital to the right of the 1, in the example above. If that digit is 5 or greater, round up, other round down.
In both cases, you will look at the 0, therefore you would round down.
1800 to the nearest hundredth is 1800.00.
1800 to the nearest hundred is 1800.
4. What’s the answer to this question please
Answer:
The answer is D
(x=3, y=8)
Step-by-step explanation:
We want to reduce as many variable as we can so, we can obtain the value for the remaining variables.
Therefore, the first equation y=x+5 multiply it -2., you have -2y=-2x-10 and sum it to the second (2y-x=13), you will obtain the following: -x=13-2x-10.
You have x=3.
If you substitute x=3 in the first equation, you have y=8
A game at the arcade gives Timmy 3 tries for every 2 quarters he puts into the machine. If Timmy uses 16 quarters to play this game, what is the greatest number of tries Timmy will get?
A. 72
B. 48
C. 24
D. 5
A mixture calls for 1 cup of lemonade and 3 cups of iced tea how many total cups does the mixture have
Answer:
4
Step-by-step explanation:
What is the value of
Answer:
256/81
Step-by-step explanation:
The exact form is 256/81.
For this case we have that by definition of power properties:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
We have the following expression:
[tex](- \frac {3} {4}) ^ {- 4}[/tex]
We can rewrite it as:
[tex](- \frac {3} {4}) ^ {- 4} = \frac {1} {(- \frac {3} {4}) ^ {4}} = \frac {1} {\frac { 3 ^ 4} {4 ^ 4}} =[/tex]
Applying double c we have:
[tex] \frac {4 ^ 4} {3 ^ 4} = \frac {256} {81}[/tex]
Answer:
Option D
Question 1 options:
x2 +x − 4 = 0
You will solve this using the Quadratic Formula.
First, what are the values of a, b, and c?
a =
your answer will be a=1 b=1 c= -4
Solve the system y = -x + 7 and y = 0.5(x - 3)^2
Answer:
[tex]x=-1;\ y=8\\x=5;\ y=2[/tex]
Step-by-step explanation:
You can make both equations equal and solve for the variable x, as you can see below:
[tex]-x+7=0.5(x-3)^2[/tex]
Keep on mind that:
[tex](a-b)^2=a^2-2ab+b^2[/tex]
Then:
[tex]-x+7=0.5(x-3)^2\\-x+7=0.5(x^2-2(x)(3)+3^2)\\-x+7=0.5x^{2}-3x+4.5\\0=0.5x^2-2x-2.5[/tex]
Apply the quadratic formula:
[tex]x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-(-2)+/-\sqrt{(-2)^2-4(0.5)(-2.5)}}{2(0.5)}\\x=-1\\x=5[/tex]
Substitute each value into one of the originl equations to find y, then:
[tex]y=-(-1)+7=8\\y=-5+7=2[/tex]
Answer:
The solutions are (-1,8) and (5,2).
Step-by-step explanation:
is 14/15 bigger than 4/5
Answer:
Yes
Step-by-step explanation:
Multiply 4/5 so that they have a common denominator.
14/15 > 12/15 (4/5)
yes, 14/5 is larger than 4/5
Simplify the variable expression. 5 /8 w ⋅ 16
-42-7k=14-k What is the value of k
Answer: k= around -9.33
Step-by-step explanation:
-42-7k=14-k
Move the terms
-7k+k=14+42
collect the like terms
calculate the sum
-6k=56
divide both sides by -6
k=-28/3
alternative form
-9.33
how many pairs of whole numbers add up to 99
Answer:
50 pairs
With the sum of 99, we will get 50 pairs whole numbers. Why? Therefore, if you're going to count all pairs of whole number, you will get 50 pairs of whole number with the sum of 99
A net and four figures are shown: which figure shown can be formed from the net? (Input the number only)
Will give 25 points!
Answer:
Option 3
Step-by-step explanation:
If you look it has 2 rectabgular shaped at the top and bottom of the net allowing it to make the rectangular sides on number 3. Good Luck! Hope this helps.
Answer:
Uhm I very late but I u can give them the crown lol also was that answer correct? I’m on it right now-
Step-by-step explanation:
The sum of 10 and the quotient of a number X and six
Answer:
10+x/6
Step-by-step explanation:
Which of the following equations have a solution of -50?
A)b-(20) = -30
B)-2r = 50
B)x/2 = -25
C)n + (-16) = 65
Answer:
Its x/2 = -25 because if you transpose 2 to the other side, it'll become -25*2 which is equal to -50
Answer:
x/2 = -25
Step-by-step explanation:
a tree was 12 3/8 inches tall when it was first planted. three years later the tree was 21 1/8 inches tall how much did the tree grow in the 3 years?
Answer:
The tree grew 8 and 3/4 inches.
Step-by-step explanation:
To get this answer, first subtract the whole numbers.
21 - 12 = 9
Now do the same with the fractions.
1/8 - 3/8 = -2/8
Now add those two together.
9 - 2/8 = 8 6/8 = 8 3/4
A store ordered 28 boxes holding 12 banana muffins each and five boxes holding 6 blueberry muffins each. What was the total number of muffins the store ordered?
Answer:
366 muffins
Step-by-step explanation:
28 x 12 = 336
5 x 6 = 30
336 + 30= 366 muffins
The total number of muffins the store ordered is, 366
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A store ordered 28 boxes holding 12 banana muffins each and five boxes holding 6 blueberry muffins each.
Hence, Number of banana muffins is,
⇒ 28 x 12 = 336
And, Number of blueberry muffins is,
⇒ 5 x 6 = 30
Thus, The total number of muffins the store ordered is,
336 + 30 = 366 muffins
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If you roll two fair six-sided dice, what is the probability that both dice show an odd number?
Answer:
1/4
Step-by-step explanation:
Both dice have odd numbers 1, 3, 5. The chances of getting an odd number on each number is 3/6
The probability of getting odd numbers on both is:
3/6 ⋅ 3/6 = 9/36 = 1/4
what are reflections
reflection is when a shape is flip on the x or y axis and changes the original points to a new point
Answer:
See below
Step-by-step explanation:
A reflection is a mirror flip of an object across a line (called a mirror line or a line of reflection).
The reflection or mirror image is the same size and shape as the object Every point in the mirror image is the same distance from the mirror line as its corresponding point in object.In the diagram, Points A, B, and C in the object are the same distance from the mirror line as Points A', B', and C' in the mirror image.
n-4-9
I really need help with this
Answer:
n - 13
Step-by-step explanation:
n-4-9
We can combine like terms.
n - (4+9)
n - 13