Answer:
a - b
Step-by-step explanation:
Assuming you mean: [tex](a^\frac12-b^\frac12)(a^\frac12+b^\frac12)[/tex]
Apply Difference of Two Squares formula [tex](a-b)(a+b)=a^2-b^2[/tex]:
[tex]\implies (a^\frac12-b^\frac12)(a^\frac12+b^\frac12)=(a^\frac12)^2-(b^\frac12)^2[/tex]
Apply the exponent rule [tex](a^b)^c=a^{bc}[/tex] :
[tex]\implies (a^\frac12)^2-(b^\frac12)^2=a^1-b^1=a-b[/tex]
The probability distribution for a
random variable x is given in the table.
-5
-3
-2.
0
2
3
Probability
.17
.13
.33
.16
.11
.10
Find the probability that -2
Answer:
x=-2
but it's sample space is 33 in the sequence
therefore
the p(a)=-2/33
can anyone help me with this dont answer if you dont no what it is and no deleting answers
A pyramid has a surface area of 24 m^2.
An artist creates replicas with scale factors of 1:12, 1:10, and 1:8
What is the surface area of each replica?
Answer:
The replicas will have a surface area of 3 m2, 2.4 m2 and 2 m2.
Step-by-step explanation:
You would have to multiply:
24 x 1/8 = 3
24 x 1/10 = 2.4
24 x 1/12 = 2
A line pass through 1,-5 and the slope of 9
Answer: y = 9x - 14
Step-by-step explanation:
The equation of a line is y = mx + b
We know the slope is 9 so so far the equation we have is y = 9x + b.
Since we know (1,-5) is a point on the line, we can plug in the x and y values into the equation and we get:
-5 = 1*9 + b
-5 = 9 + b
b = -14.
Therefore, the equation of the line is y = 9x - 14
Hello.
Here we have a point that the line passes through: (1, -5)
We also have the line's slope: 9
Now, we have enough information to write the line's equation in Point-Slope Form:
[tex]\mathrm{y-y1=m(x-x1)}[/tex]
Plug in the values and solve:
[tex]\mathrm{y-(-5)=9(x-1)}[/tex]
[tex]\mathrm{y+5+9(x-1)}[/tex]
[tex]\mathrm{y+5=9x-9}[/tex]
[tex]\mathrm{y=9x-9-5}[/tex]
[tex]\mathrm{y=9x-14}[/tex]
Therefore, the answer is
[tex]\mathrm{y=9x-14}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
The figure below shows three quadrilaterals on a coordinate grid:
A coordinate grid is shown from positive 8 to negative 8 on the x axis and from positive 8 to negative 8 on the y axis. An image of a rectangle labeled E is shown on ordered pair negative 1, negative 1 and negative 3, negative 1 and negative 3, negative 2 and negative 1, negative 2. Another image of a rectangle labeled G is shown on ordered pair negative 2, negative 2 and negative 6, negative 2 and negative 6, negative 4 and negative 2, negative 4. Another image of a rectangle labeled F is shown on ordered pair negative 1, 1 and negative 1, 2, and negative 3, 2 and negative 3, 1.
Which of the following statements is true about the three quadrilaterals?
E and F are similar but not congruent.
E and G are similar but not congruent.
G and F are similar and also congruent.
E and G are similar and also congruent.
Answer:
(a) A and B are similar but not congruent
Step-by-step explanation:
All of the rectangles have sides in the ratio of 2:1, so are all similar. Only the rectangles that are the same size are congruent: A and C.
A and B are similar, but not congruent.
Find the slope of the graph.
Step-by-step explanation:
Slope formula:
[tex]\frac{y2}{x2} -\frac{y1}{x1} =m[/tex]
m = slope
Find 2 points from the graph:
(-2, 4)(4, -3)Substitute the points into the formula:
[tex]\frac{-3}{4} -\frac{4}{-2}[/tex]
Solve:
[tex]\frac{-3}{4} -\frac{4}{-2}=\frac{-7}{6}[/tex]
The slope equals -(7/6) or -1 1/6.
The measure of an angle is thirty-five times the measure of its complementary angle. What is the measure of each angle?
Answer: 2.5 and 87.5 degrees
Step-by-step explanation:
help me if you truly know this...
Answer: 3
Step-by-step explanation:
Triangle DCB is similar to Triangle ECA by AAA.
Since EA and DB are parallel lines, that makes Angle CDB = Angle CEA and Angle CBD = Angle CAE because they are corresponding angles.
Since the two triangles are parallel, we can set up a ratio.
[tex]\frac{CD}{CE} = \frac{CB}{CA}[/tex]
Now we plug in the numbers given.
[tex]\frac{6}{8} = \frac{9}{CA}[/tex]
Now we can cross multiply
6CA = 72
Therefore, CA = 12.
AB = CA - CB
So AB = 12 - 9
AB = 3
pick out the solution from the values given in bracket for the equation:
5 z +4 =24 (5, 4, 3,2)
The median for the given set of six ordered data values is 27. 5. 9 12 23 _ 41 48 What is the missing value?
Considering the median, the missing value of the data-set is of 31.
What is the median of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
In this problem, since the set has even cardinality, the median is the mean of the middle elements, which are 23 and x. Since it is of 27, we have that:
(23 + x)/2 = 27
23 + x = 54
x = 31
Hence, the missing value of the data-set is of 31.
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An Account grows at an annual interest rate, it grows by a factor of x=1 + r each year. The function A(x)=800x^4 + 350x^3 + 500x^2 + 600x gives the amount in the account after 4 years when the growth factor is x.
After 5 years, $200 is added to the account. Use the expression for A(x) to write a new expression B(x) that represents how much is in the account after 5 years.
Answer:
Applying the formula, it is found that the total amount in the account will be of $2,431.3. I THINK
Step-by-step explanation:
IM NOT SURE!
Answer:
Applying the formula, it is found that the total amount in the account will be of $2,431.3. I THINK
Step-by-step
Applying the formula, it is found that the total amount in the account will be of $2,431.3. I THINK explanation: maybe
Tanner has 2,700 yards of yarn. He uses 90 yard sfor each scarf he is knitting how many scarfs can he make
Answer:
30 scarfs
Step-by-step explanation:
If he has 2700 yards of yarn, and each scarf is 90 yards to make. We have to divide the total amount of yarn by how much it costs to make.
2,700 / 90 = 30
In basketball, Shaquille makes 40% of his free throw attempts. He goes to the free throw line to shoot one-and-one (if he makes the first shot, he gets to shoot one more). He scores 1 point per free throw. What is the expected value of the number of points he will score? 0. 064 0. 24 0. 56 0. 80
Answer:
0.56
Step-by-step explanation:
edu 2022
Which pair of functions are inverses of each other?
Answer:
B
Step-by-step explanation:
As you can see if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.
The pair of functions that are inverses of each other will be f(x) = 10x - 5. g(x) = x - 5/10. so option B is correct.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output. Inverse means that the function is reversed from the original function, f(x).
A: The original function, f(x) = x/8 + 3. g(x) = 8x - 3. they are not inverse functions.
B: The original function, f(x) = 10x - 5. g(x) = x - 5/10. they are inverse functions.
C: The original function, f(x) = 4/x - 3. g(x) = 1/x + 3/ 4, they are not inverse functions.
Hence, the pair of functions that are inverses of each other will be f(x) = 10x - 5. g(x) = x - 5/10. so option B is correct.
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Please solve these congruent triangle problems
#1
Just follow the naming
<R is equal to <W#2
Note the adjacent angles of JK
<J and <Kwhat is a equivalent expression in expanded form for 8(-x+1/4)
Answer:The solution is in the attached file
Step-by-step explanation:
I nee help. Can anyone help please.
Pls help me with this pls and thanks
Answer:
y = 23
Step-by-step explanation:
5y - 4 + 3y = 180
8y = 180 + 4
8y = 184
y = 184/8
y = 23
Helpppp please!!!!!!!!!!!
What’s the area
Of 5yd of 4yd and 9yd
Answer:
5*4*9 = 20*9 = 180
Step-by-step explanation:
pick out the solution from the values given in bracket for the equation:
5 z +4 =24 (5, 4, 3,2)
Answer:
z= 4
Step-by-step explanation:
5 z +4 = 24
If we put z = 4 Then ,
5 × 4 + 4
= 24
hence value of z is 4 .
what is 8 3/4 ÷ 2 7/8 (show ur work)
Answer:
[tex] \displaystyle{8 \frac{3}{4} \div 2 \frac{7}{8} }[/tex]
Convert the mixed fractions into improper fractions.
[tex]\displaystyle{ \frac{8 \times 4 + 3}{4} \div \frac{8 \times 2 + 7}{8} }[/tex]
[tex]\displaystyle{ \frac{32 + 3}{4} \div \frac{16 + 7}{8} }[/tex]
[tex]\displaystyle{ \frac{35}{4} \div \frac{23}{8} }[/tex]
[tex]\displaystyle{ \frac{35}{4} \times \frac{8}{23} }[/tex]
[tex]\displaystyle{ \frac{35}{ \cancel4} \times \frac{ \cancel8 {}^{2} }{23} }[/tex]
[tex] \displaystyle{ \frac{35 \times 2}{23} }[/tex]
[tex] \displaystyle{ \frac{70}{23} }[/tex]
[tex] \displaystyle{3 \frac{1}{23} }[/tex]
Triangle ABC is similar to triangle FGH. What is the value of x in centimeters?
Answer:
17.5
Step-by-step explanation:
8 : 10 = 14 : x
8x = 10*14 = 140
x = 140/8 = 17.5 cm
What is this leat to gratest
Answer:
-4, -1, 3, 5, 6
Step-by-step explanation:
-4, -1, 3, 5, 6
Answer:
Least to greatest would be:
-4, -1, 3, 5, and then 6.
Which shows the transfer shown bellow; A B C or D
Answer:
A
Step-by-step explanation:
because it reflects
You notice that when you study for a test more, you get better grades. What does this illustrate?
A) correlation
B) coefficients
C) relationships
D) causation
Answer:
D) causation
Explanation:
As when you do something which is here studying leads to contribution of getting better grades.
Answer:
D-causation
Step-by-step explanation:
Brainliest for brainliest
5. Show that the following points are collinear. a) (1, 2), (4, 5), (8,9)
Label the points A,B,C
A = (1,2)B = (4,5)C = (8,9)Let's find the distance from A to B, aka find the length of segment AB.
We use the distance formula.
[tex]A = (x_1,y_1) = (1,2) \text{ and } B = (x_2, y_2) = (4,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(1-4)^2 + (2-5)^2}\\\\d = \sqrt{(-3)^2 + (-3)^2}\\\\d = \sqrt{9 + 9}\\\\d = \sqrt{18}\\\\d = \sqrt{9*2}\\\\d = \sqrt{9}*\sqrt{2}\\\\d = 3\sqrt{2}\\\\[/tex]
Segment AB is exactly [tex]3\sqrt{2}[/tex] units long.
Now let's find the distance from B to C
[tex]B = (x_1,y_1) = (4,5) \text{ and } C = (x_2, y_2) = (8,9)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(4-8)^2 + (5-9)^2}\\\\d = \sqrt{(-4)^2 + (-4)^2}\\\\d = \sqrt{16 + 16}\\\\d = \sqrt{32}\\\\d = \sqrt{16*2}\\\\d = \sqrt{16}*\sqrt{2}\\\\d = 4\sqrt{2}\\\\[/tex]
Segment BC is exactly [tex]4\sqrt{2}[/tex] units long.
Adding these segments gives
[tex]AB+BC = 3\sqrt{2}+4\sqrt{2} = 7\sqrt{2}[/tex]
----------------------
Now if A,B,C are collinear then AB+BC should get the length of AC.
AB+BC = AC
Let's calculate the distance from A to C
[tex]A = (x_1,y_1) = (1,2) \text{ and } C = (x_2, y_2) = (8,9)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(1-8)^2 + (2-9)^2}\\\\d = \sqrt{(-7)^2 + (-7)^2}\\\\d = \sqrt{49 + 49}\\\\d = \sqrt{98}\\\\d = \sqrt{49*2}\\\\d = \sqrt{49}*\sqrt{2}\\\\d = 7\sqrt{2}\\\\[/tex]
AC is exactly [tex]7\sqrt{2}[/tex] units long.
Therefore, we've shown that AB+BC = AC is a true equation.
This proves that A,B,C are collinear.
For more information, check out the segment addition postulate.
Matt has 5 cookies Ali eats 4 of the cookies how old is Ali?
Answer:
4
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
Answer:
Ali is about 5-6 due to him having a larger stomach capacity.
Step-by-step explanation:
5-6 year olds would definitely eat about 4 cookies if somebody held 5, since they are open to sugary things, and they would eat possibly anything.
PLEASE MARK ME AS THE BRAINLIEST.
The piece of this solid crate has an area of 6 m² the height of the crate is 4 m what is the volume of the crate
Answer:
no clue but thanks for the points!
Step-by-step explanation:
What is the volume of a rectangular prism with a length of 1.4 meters, a width of 0.5 meter and a height of 1.8 meters?
7.52 m³
3.7 m³
2.02 m³
1.26 m³
Answer:
1.26 m cubed or D
Step-by-step explanation:
Multiply the Length x Height x width
hope you have a great day!
if it helped mark me as brainliest!
The volume of the rectangular prism is 1.26 [tex]m^3[/tex] .
Rectangular prism:It is a 3-Dimensional solid with six sides, each having a rectangular shape.Its volume is given by V = L × B × HHow to solve the given problem?For the given prism; Length, L = 1.4m ; Width, B = 0.5m & Height = 1.8m.Volume, V = L × B × HV = 1.4 × 0.5 × 1.8
V = 1.26 [tex]m^3[/tex]
Thus, the volume of the given rectangular prism is 1.26 [tex]m^3[/tex] .
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