Answer:
1) (2,2)
2) (2,-1)
3) (-4,1)
Step-by-step explanation:
Here are two squares, A and B. The length of the side of square A is 50% of the length of the side of square B
CAN SOMEONE HELP ON MY LAST QUESTION PLZZZ
Which question are you talking about? I mean that why is there no attachment / image of your question? How do we know what is the question?So could you pls complete your question? :)
Answer:
(1, - 12 )
Step-by-step explanation:
Given the graph of f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Thus f(x) - 4 represents a shift down of 4 units, that is
(1, - -8 ) → (1, - 8 - 4 ) → (1, - 12 )
What is the standard form of this function?
f(x) = (x − 2)2 + 6
A. f(x) = -x2 − 8x + 10
B. f(x) = -x2 − 6x + 10
C. f(x) = x2 − 8x + 10
D. f(x) = x2 − 4x + 10
Answer:
D
Step-by-step explanation:
To find the standard function, open the bracket
f(x) = (x-2)^2 + 6
(x-2)^2 becomes
x(x-2) -2(x-2)
= x^2 -2x -2x + 4
= x^2 -4x + 4
Now add 6 and it becomes x^2 -4x + 4 + 6
= x^2 -4x + 10
Given a normal distribution of the lengths of wing-spans of a certain butterfly has a mean of 20 mm and standard deviation 3.5 mm. Find, ROUNDING YOUR ANSWERS TO 4 DECIMAL PLACES. A) What wing-span has an area of 0.1005 on it left side under the standard normal curve? B) What wing-span has an area of 0.0480 on it right side under the standard normal curve?
Answer:
a) 15.52mm
b) 25.8275mm
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, or the area to the left side of the curve. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, that is, the area to the right side of the curve.
A) What wing-span has an area of 0.1005 on it left side under the standard normal curve?
This is X when Z has a pvalue of 0.1005. So it is X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 20}{3.5}[/tex]
[tex]X - 20 = -1.28*3.5[/tex]
[tex]X = 15.52[/tex]
This wing-span is 15.52mm.
B) What wing-span has an area of 0.0480 on it right side under the standard normal curve?
This is X when Z has a pvalue of 1 - 0.0480 = 0.9520. So this is X when Z = 1.665.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.665 = \frac{X - 20}{3.5}[/tex]
[tex]X - 20 = 1.665*3.5[/tex]
[tex]X = 25.8275[/tex]
This wing-span is 25.8275mm.
Find the length of a. The length of the of the unknown leg is?
Answer:
10
Step-by-step explanation:
Pythagorean theorem
c² = a² + b²
26² = a² + 24²
a² = 26² - 24² = 100
a = √(100) = 10
The length of unknown leg will be a = 10 units
ConceptThe right angle triangle is given and the length of one side and length of hypotenuse are givenWe have to find the length of second sideSince the triangle given is right angle triangle we will use pythagorean theorem to find the length of third side.How to solve this problem?The steps are as follow:
The length of first side is 24 units and length of hypotenuse is 26 units and the second side is unknown which is taken as 'a' According to pythagorean theorem:(hypotenuse)^2 = (Side)^2 + (Side)^2
(26)^2 = (24)^2 + (a)^2
676 = 576 + (a)^2
(a)^2 = 676 - 576
(a)^2 = 100
a = 10 units
So the length of unknown leg will be a = 10 units
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how do you know if two line segments are perpendicular
A. Their slopes are equal
B. The slope of one is the negative of the slope of the other
C. Their slopes are negative reciprocals
D. Their slopes are reciprocals
Answer: C. Their slopes are negative reciprocals
Step-by-step explanation:
The slopes of two perpendicular lines are negative reciprocals of each other.
Here is a table of values for y=
f(x).
Х
-5
-3 0 2 6 7 9 10
13
f(x) 1
2
3 0
1230
1
Mark the statements that are true.
Answer:
The true statements are
The domain for f(x) is the set {-5, -3, 0, 2, 6, 7, 9, 10, 13}
f(-3) = 2
Extra:
x -5 -3 0 2 6 7 9 10 13
f(x) 1 2 3 0 1 2 3 0 1
Find the surface area of the prism. PLZ HELP
Answer:
180 cm
Step-by-step explanation:
Surface Area = 2(length * width + length * height + width * height)
S.A. = 2(8 * 3 + 8 * 6 + 3 * 6)
S.A. = 180 cm.
In the diagram, ABCD is a part of a right angled triangle ODC. If /AB/= 6 cm,
/CD/= 15cm, BC/= 8 cm, ZBCD = 90° and AB//DC, calculate, correct to 1 decimal
place, the:
2 points
1. height of triangle ODC;
Your answer
2 points
2. perimeter of triangle ODC.
Answer:
1) 13.3 cm
2) 48.3 cm
Step-by-step explanation:
1) Right angled triangle ODC and right angled triangle OAB are similar because AB//DC. The two triangles have the same proportion and are equiangular (having equal angles) but have different lengths.
Let OB = x, OC = OB + BC = x + 8
Therefore:
[tex]\frac{OC}{OB}=\frac{DC}{AB} \\\frac{x+8}{x}=\frac{15}{6}\\15x=6(x+8)\\15x=6x+48\\15x-6x=48\\9x=48\\x=5.3\ cm[/tex]
The height of triangle ODC = OC = x + 8 = 5.3 + 8 = 13.3 cm
2) Using Pythagoras theorem:
OD² = OC² + DC²
OD² = 13.3² + 15²
OD² = 401.89
OD = √401.89 = 20 cm
2) perimeter of triangle ODC = OD + OC + DC = 20 + 13.3 + 15 =48.3 cm
Write a rational expression that simplifies to (x-1)/(x+2), x≠-4, -2
Answer: [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)}[/tex] which is the same as [tex]\frac{x^2+3x-4}{x^2+6x+8}[/tex]
If the math notation does not load properly, or the font size is too small, then it says ( (x+4)(x-1) )/( (x+4)(x+2) ) which is the same as (x^2+3x-4)/(x^2+6x+8)
==========================================================
Explanation:
We see that x cannot equal -2, as this prevents the denominator (x+2) from becoming zero. If x = -4, then x+4 = 0. So x not allowed to be -4 means (x+4) is prevented in being zero, and this is the missing factor in the denominator. We can never divide by zero.
Multiply top and bottom of this given fraction by (x+4) to get [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)}[/tex]
Note how the (x+4) terms divide and cancel to get back to the original fraction given. The portion [tex]x \ne -4[/tex] sticks around to make sure the domains line up properly.
----------
Optionally you can expand out each product in the numerator and denominator to get
(x+4)(x-1) = x^2-x+4x-4 = x^2+3x-4
(x+4)(x+2) = x^2+2x+4x+8 = x^2+6x+8
I used the FOIL rule
So, [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)} = \frac{x^2+3x-4}{x^2+6x+8}[/tex]
Can someone help me with this please
1. Tickets to a dance performance cost $9 for adults and $5 for kids. A group purchased 15 tickets and spent a total of $91. Which of the following is a true statement?
a. The group purchased 4 adult tickets.
b. The group purchased 9 kid’s tickets.
c. Both a and b are true.
d. Neither a nor b are true.
Answer:
A
Step-by-step explanation:
Multiply the cost of an adult ticket by 4 which is 36 and then subtract it from 91 you will get 55. You will see that 55 is divisible by 5 so you get 11kids
Help, please! An explanation would be great, I'm so confused on this question-
Answer:
a=250 and b=10
Step-by-step explanation:
a=5*100/2=250
b=200*5/100=10
Answer:
a = 250
b = 10
Step-by-step explanation:
1) a = [tex]\frac{5x^2}{2}[/tex]
Putting x = 10
a = 5(10)²/2
a = 5(100)/2
a = 250
2) b = [tex]\frac{2x^2(x-5)}{10x}[/tex]
Putting x = 10
b = 2(10)²(10-5) / 10(10)
b = 2(100)(5) / 100
b = 1000 / 100
b = 10
Anyone know the Answer asap
Answer:
39/10
Step-by-step explanation:
Answer:
39/10
Step-by-step explanation:
happy to help u:)
Some amount of marbles were arranged in an equilateral triangle. And 2 marbles were extra. When the same set of marbles were arranged into triangle in which each side has one more marble than in the first arrangement there were 13 marbles shortage. How many marbles were in the set?
Answer:
The total number of marbles in the set is 107 marbles
Step-by-step explanation:
The parameters given are;
Let the size of the marbles be 1 unit
The marbles are arranged to form the equilateral triangle as follows;
1st row = 1 marble
2nd row = 2 marbles and so on so that the total number of marbles for an arithmetic series as follows;
Total number of marbles, t = 1 + 2 + 3 + ... + n
Therefore;
[tex]t = \dfrac{1 + n}{2} \times n[/tex]
Since there are 2 marbles left in forming the first equilateral triangle, we have the total number of marbles in the set, t₁, is given as follows;
[tex]t_1 = \dfrac{1 + n}{2} \times n + 2[/tex]
When the same marble set are arranged into a triangle in which each side has one more marble than in the first arrangement, there where 13 marble shortage, hence, the total number of marbles is given as follows;
[tex]t_1 = \dfrac{1 + (n+1)}{2} \times (n+1) -13[/tex]
We therefore have;
[tex]t_1 = \dfrac{1 + n}{2} \times n + 2 = \dfrac{1 + (n+1)}{2} \times (n+1) -13[/tex]
Which gives;
[tex]\dfrac{n^{2}+n+4}{2}=\dfrac{n^{2}+3\cdot n-24}{2}[/tex]
Therefore;
n² + n + 4 = n² + 3·n - 24
2·n = 24 + 4 = 28
n = 14
From which we have;
[tex]t_1 = \dfrac{1 + 14}{2} \times 14 + 2 = 107[/tex]
Therefore, the total number of marbles in the set, t₁ = 107 marbles.
The number of marbles in the set would be as follows:
[tex]107[/tex] marbles
Arrangement
Given that,
After arranging the marbles in an equilateral Δ, 2 marbles would be left
The size of marble being 1 unit,
So,
The first row of the equilateral Δ will consist of 1 marble,
while
The second row comprises of 2 marbles.
The process goes so on and on.
Therefore,
Total marbles [tex]t = 1 + 2 + 3 + ... + n[/tex]
Hence,
[tex]t = (1 + n)/2[/tex] × n
Because 2 marbles are extra,
[tex]t = (1 + n)/2[/tex] × n [tex]+ 2[/tex]
In case,
The same marble set are framed into a triangle, every side would contain 1 marble exceeding the previous one where 13 marbles would be felt short.
Thus,
Total marbles = [tex]\frac{1 + (n + 1)}{2}[/tex] × [tex](n + 1) - 13[/tex]
by putting the values, we get
[tex]n^2 + n + 4 = n^2 + 3n - 24\\2n = 24 + 4 = 28\\n = 14[/tex]
∵ Total marbles [tex]= (1+ 14)/2[/tex] × [tex]14 + 2[/tex]
[tex]= 107[/tex]
Thus, 107 marbles are the correct answer.
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If 2x2 - 4x + 6 = 1 then A= 2, B = -4, and C = 6 in general form.
True
False
Answer:
false
Step-by-step explanation:
what is the inequality shown?
The solution to the inequality shown is -4 < n ≤ 5
Inequality
Inequality is an equation that is used to show the non equal comparison of two or more numbers and variables.
From the inequality, we can see that:
n > -4 as well as n ≤ 5
Combining this two inequalities gives:
-4 < n ≤ 5
The solution to the inequality shown is -4 < n ≤ 5
Find out more on Inequality at: https://brainly.com/question/24372553
What is a real life example for an integer
Answer:
Some examples of integers are -1, 0, and 1.
if 11x+5y = 9
11x +3y=1
.
[tex]the \: value \: of \: x \: is \: - 1. \\ the \: value \: of \: y \: is \: 4 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Which expression represents the algebraic phrase “the sum of negative three-eighths and four times x minus nine times z”?
Answer:
-3/8 +4x -9z
Step-by-step explanation:
this should be the translated answer, the variables don't need a multiplication sign because they aren't written as numbers
Ron had some pens. 3 8 of them were black coloured, 1 4 of them were red coloured and the rest of them were blue coloured. There were 15 blue pens. How many pens did Ron have?
Answer:
40 pens
Step-by-step explanation:
Let the total number of pens Ron had be x.
We need to find the fraction of the pen that were blue.
3/8 of them were black and 1/4 of them were red. This means that the fraction of the pens that were blue is:
1 - (3/8 + 1/4) = 1 - 5/8 = 3/8
There were 15 blue pens. This means that 3/8 of x is 15:
3/8 * x = 15
x = 15 * 8/3 = 40 pens
Ron had 40 pens.
Mrs.Gomez paid $780 for a new backyard fence. A new gate cost and additional $225. The fencing was a total of 120 feet. What was the unit cost per foot for the fence?
I need help ASAP I shall give brainlyist (idk how to spell)
Answer:
[tex]5cm[/tex]
Step-by-step explanation:
[tex]r=\sqrt{\frac{V}{\pi h} } \\=\sqrt{\frac{225.5}{\pi *3} } \\=5cm[/tex]
HELPP ITS ABOUT A PYRAMID Explanation needed pleasee
Answer:
A. a triangle with an area of 20 square units
Step-by-step explanation:
note when you cut from top tip to the bottom you will get a triangle with base = 4 and height =10
Area of triangle = 1/2 * base * heighte
Area of triangle = 0.5*10*4
Area of trianle = 20 square units
Can someone help me please
Answer:
so the answer is the third one
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Answer:
40
Step-by-step explanation:
To find the maximum we need to find the vertex. We can do this by writing the equation in vertex notation by completing the square.
A(w) = -w(w - 80)
= -w² + 80w
= -(w² - 80w) = -(w - 40)² + 160
The vertex is then (40, 160) and since we are looking for the value of w it will be 40.
PLS HELP ASAP!!!
Figure RST is reflected about the x-axis and then translated down 1 unit to obtain figure R′S′T′:
A coordinate plane is shown. Triangle RST has vertices R at 4 comma negative 2, S at 7 comma negative 2, and T at 5 comma negative 5. Triangle R prime S prime T prime has vertices R prime at 4 comma 1, S prime at 7 comma 1, and T prime at 5 comma 4.
Which statement best describes the relationship between the two figures? (4 points)
Figure RST is congruent to figure R′S′T′.
Figure RST is bigger than figure R′S′T′.
The measure of angle R is equal to the measure of angle S′.
The measure of angle R is equal to the measure of angle T′.
A) Figure RST is congruent to figure R′S′T′.
Answer:
a
Step-by-step explanation:
Can someone help me solve this?
Answer:
233.5
Step-by-step explanation:
step 1. A=wl=8·20=160
step 2. A=wl=6·12=72
step 3. A=ab
2=3·1
2=1.5
step 4. 160+72+1.5= 233.5
Which formulas can you use to calculate the volume of a rectangular prism check all that apply
Answer:
V = Bh
Step-by-step explanation:
Answer:
v=lwh
v=bh
Step-by-step explanation:
edge2020
1. Using the figure below, what is the measure of angle ABE?
Answer:
see below
Step-by-step explanation:
Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.
Answer:
The angle of ∠ABE is 40°.
Step-by-step explanation:
Given that ∠ABE and ∠CBD are opposite vertical angles so they have the same measure of angles.