Answer:
16
Step-by-step explanation:
To find the term needed, use the binomial formula.
[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]
Let 8x = 2ab, a is by default x, which leaves us with:
8x = 2xb
8 = 2b
b = 4
And by the binomial formula add [tex]b^2[/tex] to both sides, namely 16.
[tex]x^2 + 8x + 16 = 17 + 16\\(x+4)^2 = 33[/tex]
Quick help needed, need someone to check my answer.
Mario’s Company makes unusually shaped imitation gemstones. One gemstone had 12 Faces and 20 edges. How many vertices did the gemstone have?
A. 34 Vertices
B. 10 Vertices (My answer)
C. 30 Vertices
D. 8 Vertices
Answer:
it has to be 8 because I subtracted and that was my answer for It
If 343x=49^4-x What is the value of x ?
Answer:
If It was a Fraction it'd be 8/5
Step-by-step explanation:
use the appropriate identity to rewrite the expression 4x^6-9
Answer:
D.
Step-by-step explanation:
4x⁶-9 = (2x³)² - (3)²
Use the diagram below to classsify each pair of angles.
Answer:
a. congruent
b. complementary
c. supplementary
d. congruent
Hope this helps.
Teresa is moving in needs to determine if her friend Sams truck is big enough to fit all of her moving boxes.what would be the best tool that she could use to determine if she has enough room for her boxes?
Answer:
Step-by-step explanation:
a ruler.
Answer:
Measuring tape
Step-by-step explanation:
A train traveled 63.75 miles at a rate of 85 miles per hour. Which equation can be used to find h, the number of hours it took the train to travel this distance?
Answer:
0.75 hr
Step-by-step explanation:
Recall that distance = rate times time.
Thus, time = distance / rate.
Here, time = 63.75 miles / 85 mph = 0.75 hr
Next time, please share the possible answer choices. Thank you.
Which of the following statements about the image below is true?
Answer:
The measure of SWX is 108.
Step-by-step explanation:
TX and QS are not perpendicular.
QRT and TRU are complementary (add to 90) not supplementary (add to 180)
The measure of SWX is 108 because angles on a line add to 180, and RWS is 72. 180 - 72 = 108
Answer:
The measure of <SWX is 108°
The second answer is actually Complementary.
He rest of the answers are pretty obvious no’s.
23.791 to nearest hundredth
Answer:
23.79
Step-by-step explanation:
one is less than 5 so you just drop it
Answer:
23.79
Step-by-step explanation:
In the number 23.791, the number place holding the 9 is the hundreth's place. Now look at the thousands place, the number place holding the 1.
If the number in the thousands place is 5-9, round up to 23.8
If the number in the thousands place is 1-4, round down to 23.79
Since 1 is smaller than 5, round doqn to 23.79
I hope this helps!
m u c h h e l p n e e d e d
Answer:
Statements 2 and 3 are true
Step-by-step explanation:
Reading from the table
When x = -4, y = -1 so statement 1 is false
When x = -1, y = -2.5 so statement 2 is true
When x = 0, y = -3 so statement 1 is true
When x = 2, y = -4 so statement 2 is false
Answer:
Statements 2 and 3 are true
Step-by-step explanation:
Reading from the table
When x = -4, y = -1 so statement 1 is false
When x = -1, y = -2.5 so statement 2 is true
When x = 0, y = -3 so statement 1 is true
When x = 2, y = -4 so statement 2 is false
In February, Alex has 1,518 visitors to his websit. In March, he had 1380 visitors to his website. What is the percent decreased of the number of visitors to Alec’s website from February to March ? If necessary, round to nearest tenth of a percent ???
Answer:
The percent decreased of the number of visitors to Alec’s website
from February to March is 9.1%
Step-by-step explanation:
* Lets talk about the percentage of increase and decrease
- Percent of Increase (Decrease) =
(amount of increase or decrease ÷ original amount) × 100%
- Increase {New amount > Original amount}
- Decrease {Original amount > New amount}
* Now lets solve the problem
- The number of visitors in February is 1518
- The number of visitors in March is 1380
- The number in March < the number in February
∴ The decreasing amount = 1518 - 1380 = 138 visitors
∵ The original number = 1518
∴ The percent decreased = (138 ÷ 1518) × 100% = 9.1%
* The percent decreased of the number of visitors to Alec’s website
from February to March is 9.1%
Please help me thank you
Answer:
a) is skewed right since there is more data on the right.
b)5 if there is 3 6's and 3 5's
c) if there are 13 digits in total it is 4.9
Step-by-step explanation:
What is the value of the positive zero of the function , f, defined by f(x) =x^2-121
Answer:
The positive zero is 11
Step-by-step explanation:
Given in the question an equation,
f(x) =x² - 121
We are asked to find the positive zero of f(x)
means x > 0 for which f(x) = 0
so,
x² - 121 = 0x² = 121
Take square root on both sides of the equation
√x² = √121
x = ±11
which means that x = 11 and x = -11
Since x > 0 so we will reject x =-11 and we will accept x = 11
Answer: 11
Step-by-step explanation:
You need to substitute [tex]f(x)=0[/tex] into the function given:
[tex]f(x) =x^2-121\\0 =x^2-121[/tex]
Now you need to solve for the variable "x", to do this, first you must add 121 to both sides of the function:
[tex](121)+0=x^2-121+(121)\\121=x^2[/tex]
Now apply square root to both sides of the function. Then, you get:
[tex]\±\sqrt{121}=\±\sqrt{x^2}\\\\\±\sqrt{121}=x\\\\x_1=11\\x_1=-11[/tex]
The value of the positive zero of the function is 11.
If you factor 4x^2-49y^2 what’s the answer
Answer:
(2x - 7y)(2x + 7y)
Step-by-step explanation:
4x^2-49y^2 is the difference of two squares: (2x)² - (7y)².
This is a case of "special products and factoring."
Since a² - b² = (a - b)(a + b),
(2x)² - (7y)² = (2x - 7y)(2x + 7y)
Solution:
The given Equation is 4x² - 49y²
Spilt it in the form of a² - b² :
☞4x² - 49y²
☞ (2x)² - (7y)²
☞ ( 2x + 7)(2x -7 )
Answer:
More information: { Identity Used }
☞ a² - b² = (a + b)(a-b)
☞ (a + b)² = a² + b² + 2ab
Are 3x and 3y like terms
Answer: No
Step-by-step explanation:
Like terms are when the variables of two numbers are the same so they would not be like terms.
Example:
5x+7y Are not like terms because they have different variables
but...
5x+7x Are like terms because they have the same variable(x).
No it’s is not because the variables of both the numbers has to be the same.
Can You Please Help Me.
Answer:
flip the > to a <
when it's negative always flip the sing
Find the perimeter
use 3.14 for pi
Answer:
P = 6.4 m
Step-by-step explanation:
Hello,
The perimeter is the sum o each side of that square, so:
Psquare = 4*(lenght of side)
P = 4*(1.6m)
P = 6.4 m
PD: PI IS NOT NECESSARY, WORKS ONLY FOR CIRCLE
Best regards
What is the area of parallelogram ABCD
Answer:
20 square units
Step-by-step explanation:
You count how many across the parallelogram is (which is 4) and you count how high it is (which is 5). Then you multiply 5×4* which equals 20 square units.
*The reason you do this is because base×hieght=area
Answer:
20 square units
Step-by-step explanation:
Area of a parallelogram formula = base times height
To find the length of the base we take end points of the base and use distance formula
[tex]distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Two points are (1,0) and (5,0)
Distance = [tex]\sqrt{(5-1)^2+(0-0)^2}[/tex]
[tex]=\sqrt{4^2} =4[/tex]
Length of base = 4 units
Now we find out the height between B (1,0) and D (1,5)
Height =[tex]\sqrt{(1-1)^2+(5-0)^2}=\sqrt{5^2}= 5[/tex]
Height = 5
Area of the parallelogram = base times height
= [tex]4 \cdot 5= 20[/tex]
So area = 20 square units
find the length of the missing side. if necessary, round to the nearest tenth.
A. 30
B. 15
C. 21.3
D. 7.7
Answer:
7.7
Step-by-step explanation:
16^2=14^2+b^2
b^2=60
b=7.7
The US Senate in Washington DC has 100 elected members last year 30 senators ran for re-election What decimal is equivalent to 30/100
Answer:
0.3
Step-by-step explanation:
30/10=3
100/10=10
That makes 3/10= 0.3
Answer:0.30
Step-by-step explanation:30 divided by 100 is 0.30
In the diagram, AB is parallel to DE. Also, DE is drawn such that the length of DE is half the length of AB. If sin A = 0.5, then what is sin E?
A) 2
B) 1
C) 0.5
D) 0.25
E) 0.1
Random answers will be reported!
Answer:
Sin E=0.50
Step-by-step explanation:
Here we are given that DE || AB, and DB and AE are traverse lines to them meeting at point F.
By the properties of parallel lines intersected by a transverse we know that the alternate interior angles are equal.
If we extend DE and AE on both sides , we can see that A and E are equal as they forms alternate interior angles.
Hence
A=E
Sin A = Sin E
0.50=Sin E
Answer:
I got sin E = 0.5
Thus answer choice C being the correct choice
Hope this helps ;)
Step-by-step explanation:
solve f(t)=-16t^2+20t
Answer:
Step-by-step explanation:
Factor −16t2+20t
−16t2+20t
=4t(−4t+5)
Answer:
4t(−4t+5)
or
Let's simplify step-by-step.
−16t2+20t
There are no like terms.
Answer:
=−16t2+20t
The equation f(t)=-16t^2+20 when solved gave t = 0 and t = 1.25.
To solve the quadratic equation f(t)=-16t^2+20t, we first need to rearrange it into the standard form of a quadratic equation at^2 + bt + c = 0. We can simplify the original equation by dividing all terms by -4, which will reverse the signs:
4t^2 - 5t = 0
Now, this equation can be factored, giving us:
t(4t - 5) = 0
This means our equation has two possible solutions for when it equals zero:
t = 0 or 4t - 5 = 0
Solving the second part for t gives us t = 5/4 or 1.25.
Therefore, the equation f(t) = -16t^2 + 20t has two solutions for t: t = 0 and t = 1.25.
What’s the mean in 43,69,48,37,85,57,95,102
Answer:
67
Step-by-step explanation:
Total
= 43 + 69 + 48 + 37 + 85 + 57 + 95 + 102
= 536
Mean
= 536 ÷ 8
= 67
The mean of the given set of numbers is 67.
Explanation:The mean, also known as the average, is calculated by adding up all the numbers in a set and then dividing the sum by the total number of values in the set.
To find the mean of the set of numbers 43, 69, 48, 37, 85, 57, 95, and 102, you need to add all the numbers together and then divide the sum by the total number of values, which is 8.
43 + 69 + 48 + 37 + 85 + 57 + 95 + 102 = 536
536 ÷ 8 = 67
Therefore, the mean of the given set of numbers is 67.
Learn more about Mean here:https://brainly.com/question/31101410
#SPJ2
Loren compares the fractions 2/3 and 5/8 by first rewriting them using a common numerator. He does everything correctly. Which shows Loren’s comparison?
A. 5/6 > 5/8
B. 10/3 < 10/8
C 10/15 < 10/16
D 10/15 >10/16
Answer:
D 10/15 > 10/16
Step-by-step explanation:
The least common multiple of 2 and 5 is 10.
2/3 = 10/15
5/8 = 10/16
10/15 > 10/16
Answer: D.
Final answer:
When Loren compares 2/3 and 5/8 using a common numerator, he finds that by making both numerators 10 (10/15 and 10/16), 10/15 is less than 10/16, because the fraction with the larger denominator is the smaller fraction.
Explanation:
To compare the fractions 2/3 and 5/8 by rewriting them using a common numerator, Loren has to find a common multiplier for each numerator that would make them equal. He could multiply the numerators and denominators of both fractions by the other fraction's numerator. For 2/3, he would multiply by 5, and for 5/8, he would multiply by 2. This gives:
For 2/3: (2\*5)/(3\*5) = 10/15
For 5/8: (5\*2)/(8\*2) = 10/16
Now, Loren can compare the fractions easily since they have the same numerator:
Option C: 10/15 < 10/16
This is because, with the same numerator, the fraction with the larger denominator is the smaller fraction.
BASIC ALGEBRA PLZZZ HELP
(x+y)(x-y)
Answer:
[tex]x^2-y^2[/tex]
Step-by-step explanation:
Given the expression [tex](x+y)(x-y)[/tex]
We can distribute this using the FOIL technique
This would leave us with
[tex]x^2+xy-xy-y^2[/tex]
Then we can combine like terms to leave us with
[tex]x^2-y^2[/tex]
Steps:
(x+y)(x-y)
x^2-xy+xy-y^2
Multiplying the brackets together.
negative and positive= negative
= x^2-y^2
Answer is x^2-y^2
Please help..thank you
Answer:
D
Step-by-step explanation:
To shift down:
F(x)-b
To shift up:
F(x)+b
To shift right:
F(x-b)
To shift left:
F(x+b)
ANSWER
D. The graph of G(x) is the graph of F(x) shifted 7 units down.
EXPLANATION
The given assumption is that:
G(x)= F(x)-7
This implies that, our parent function is F(X).
Since 7 is subtracted from F(x) to obtain the graph of G(x), it means that shifting the graph of F(x) down by 7 units gives us the graph of G(x).
D. The graph of G(x) is the graph of F(x) shifted 7 units down.
can help me understand this?
Answer:
Its easy just fill in the blacks
Step-by-step explanation:
P1 is 5 P2 is 2 P3 is 4 and so on now the odd and even u add the odd number together and the even together like 2+2+1 (the even side) =5 so put 5 in the even and do the same thing to odd 5+4+6 = 15 and put 15 on odd #
Hope this helps!
Consider the two box plots below.
Which of the following statements is true?
A. The median of box plot A is greater than the median of box plot B.
B. Both the box plots A and B have the same median.
C. The interquartile range of box plot A is greater than the interquartile range of box plot B.
D. The median of box plot B is greater than the median of box plot A.
Answer:
the answer is D: the median of box plot B is greater than the median of box plot A.
Step-by-step explanation:
Answer: D. The median of box plot B is greater than the median of box plot A.
Step-by-step explanation:
We know that in a box-whisker plot, the vertical present in the box represents the median value of data and the length of box along the number line represents the interquartile range.
In the given picture, it can be seen that the box B is longer than box A.
It mean that the interquartile range of box plot B is greater than the interquartile range of box plot A.
Also, the vertical line in box A is present between 15 and 20 on number line but in box B it is present between 25 and 30.
It means that the median of box plot B is greater than the median of box plot A.
Find the midpoint of the line segment whose endpoints are (-2, 5) and (6, -9).
Answer: (2, -2)
To find the x coordinate of the midpoint: (-2+6)/2
To find the y coordinate of the midpoint: (5+(-9))/2
Answer:
The mid point is (2, -2).
Step-by-step explanation:
Since, the coordinates of mid point of a line segment having end points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are,
[tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Thus, the midpoint of the line segment whose endpoints are (-2, 5) and (6, -9) would be,
[tex](\frac{-2+6}{2}, \frac{5-9}{2})[/tex]
[tex](\frac{4}{2}, \frac{-4}{2})[/tex]
[tex](2, -2)[/tex]
An inscribed angle is an angle formed by two radii that share an endpoint. (true or false)
Answer:
False
Step-by-step explanation:
False. An inscribed angle is formed by two chords (inside a circle).
Note: A central angle is an angle formed by two radii that share an endpoint.
The statement about an inscribed angle being formed by two radii is false. An inscribed angle has its vertex on the circle and is formed by two intersecting chords, whereas a central angle has its vertex at the center of the circle and is formed by two radii.
The statement that an inscribed angle is an angle formed by two radii that share an endpoint is false. An inscribed angle in a circle is actually formed by two chords that intersect on the circle. The vertex of the inscribed angle lies on the circle and its sides are made up of two chords of the circle. By contrast, an angle formed by two radii that share an endpoint is called a central angle. The central angle's vertex is the center of the circle, and it intercepts an arc.
If 10-2=33 , 37-23=83, 82-4=83, 55-7=32, then 76-45 ????
Answer:
i think value 35
Step-by-step explanation: