Answer:
x = 3[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Given y varies directly as x², then the equation relating them is
y = kx² ← k is the constant of variation
To find k use the condition y = 27 when x = 3 , then
27 = k × 3² = 9k ( divide both sides by 9 )
3 = k
y = 3x² ← equation of variation
When y = 81, then
81 = 3x² ( divide both sides by 3 )
27 = x² ( take the square root of both sides )
x = [tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = 3[tex]\sqrt{3}[/tex]
A book contains 120 pages and each page 35 lines how many pages will the book contains if every page has 24 lines
Answer:
If there will be 24 lines on all pages, there will be 175 pages in the book
Step-by-step explanation:
First we have to find out how much lines does the book have in total, so we multiply the number of pages by the number of lines on the page. So we get.....
120 x 35 = 4200
Now in order to find out how much pages will the book have when a page will have 14 lines we divide the number of lines by 24 and we get......
4200 / 24 = 175
Which graph represents the solution to the system of inequalities below?
5x - 4y > 4
x + y < 2
Answer:
The correct option is;
B
Step-by-step explanation:
The given system of inequalities are;
5·x - 4·y > 4...(1)
x + y < 2...(2)
Representing both inequalities as a function of "y", gives;
For, 5·x - 4·y > 4...(1), we have;
-4·y > 4 - 5·x
y < 4/(-4) - 5·x/(-4)
∴ y < 5·x/4 - 1
For x + y < 2...(2), we have;
y < 2 - x
Therefore, y is less than the values given by the equation of the straight line equalities, and the feasible region is given by the common region under both dashed lines representing both inequalities as shown in the attached diagram created using Microsoft Excel
The correct option is therefore, B.
for question 8. Determine whether the triangles are similar. If similar, state how (AA, SSS, or SAS), and write a similarity statement.
9514 1404 393
Answer:
yes, SAS
Step-by-step explanation:
Two sides are given, either side of a vertical angle. So, the angles are the same. If the sides are proportional, the similarity will be by SAS (two sides, either side of an angle).
The ratios of short to long sides are ...
39/52 = (3·13)/(4·13) = 3/4
63/84 = (3·21)/(4·21) = 3/4
The sides are proportional and the angle between them is congruent, so ...
the triangles are similar by SAS.
1/3x-2=16 solve the equation
Answer:
x=54
Step-by-step explanation:
1/3 x 54 = 18, 18 - 2 = 16
:)
Pls answer need help asap!!
Answer plzz I give will correct answer as brainliest
Answer: 13m
Step-by-step explanation:
A^2+ B^2= C^2
5^2+ 12^2= c^2
169= C^2
then square root the 169 to get 13
Decide if the statement is giving you the x or y value of the function
Answer: 1a. f(2) is an x-value
1b. f(x) = 4 is a y-value
1c. f(-10) is an x-value
1d. m(x) = 64 is a y-value
2. f(4) = 17
3. x = 39
Step-by-step explanation: In general, if there is an equal sign, the output f(x) is a y-value. if the expression is f(#) with a number in the parentheses, that is the value to insert for x.
2.) f(x) = 2x + 9
f(4) = 2(4) + 9
f(4) = 8 + 9
f(4) = 17
3. f(x) = 5x -3
192 = 5x -3
192 + 3 = 5x
195 = 5x
39 = x
Ruby’s homework covers multiplication with the powers of 10 the first question on her homework is 82.6 x 10 to the power of 2 what is the value of expression?
Answer:
826
Step-by-step explanation:
82.6 x 10 to the power of 2 :
8.26 * 10^2
8.26 * (10 * 10)
8.26 * (100)
= 826
help please.......
Answer:
According to my calculations, the correct answer is 1/16. Let me know if it comes as correct on your side. Thanks!
Step-by-step explanation:
5+(−3)(6x−5) using distributive property
Answer:
x= -1.8
Step-by-step explanation:
5+(-3)(6x-5)
the -3 goes into the 6x and -5
5+(-18x)+15
switch so like terms are together
5+(-5) these cancel out leaving you with
-18x+15-5
combine like terms
-18x+10
divide both sides by -18
x=-1.8
If a certain number is increased by 5, one-half of the result is three fifths of the excess of 61 over the number. find the number
Step-by-step explanation:
Let the number be x X×5 =1/2 × 3/5 × 615X = 18 X = 18/5 X =3.3There is a deck of 20 picture cards that contain 5 birds, 5 lions, 5 frogs, and 5 monkeys. What is the probability that the first card drawn shows a bird and the second shows a monkey
Please hurry
In the figure, △EBA ≅ △EDC.
Triangles EBA and EDC are connected at point E. Angles A B E and E C D are right angles. Angle A E B and D E C are congruent. Sides B E and E D are congruent.
Because CPCTC, which relationships are true?
Check all that apply.
Answer:
AE ≅ CE
∠BAE ≅ ∠DCE
Step-by-step explanation:
In the figure, △EBA ≅ △EDC.
Triangles E B A and E D C are connected at point E. Angles A B E and E C D are right angles. Angle A E B and D E C are congruent. Sides B E and E D are congruent.
Because CPCTC, which relationships are true?
Check all that apply.
AE ≅ CE
∠BAE ≅ ∠DCE
∠CDE ≅ ∠BAE
AB ≅ BE
AC ≅ BD
EDGE2020
The relation which is equal Because CPCTC would be; AE ≅ CE and ∠BAE ≅ ∠DCE
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles is equal and they can be superimposed.
In the given information, △EBA ≅ △EDC.
Given that the Triangles EBA and EDC are connected at point E.
Also Angles A B E and E C D are right angles.
And Angle A E B and D E C are congruent.
The Sides B E and E D are congruent.
Hence,
AE ≅ CE
∠BAE ≅ ∠DCE
∠CDE ≅ ∠BAE
Now AB ≅ BE
AC ≅ BD
The relation which is equal Because CPCTC would be; AE ≅ CE and ∠BAE ≅ ∠DCE
Learn more about congruent triangles;
https://brainly.com/question/12413243
#SPJ2
What is the length of the missing side of the right triangle?
A) 14 feet
B) 10 feet
C) 9.5 feet
D) 12 feet
(please give a brief explanation)
Answer:
10 feet
Step-by-step explanation:
You use the pythagorean theorem to find the missing side of a right triangle.
side^2 + side^2 = hypotenuse ^2
6^2 + 8^2 = X^2
36 + 64 = 100
square root of 100 = 10
If six people share 4 pints of lemonade equally, how much lemonade will each person receive?
Answer:
1.5
i think
Step-by-step explanation:
help meeeeeeennsndnxncnvn
Answer:
12 oz (1) has the lowest
Step-by-step explanation:
ur wlcmeocxjvieirbvuubvuebwdfjvberlbf
Which rules of exponents will be used to evaluate this expression? Check all that apply.
A: product of powers
B: quotient of powers
C: power of a power
D: power of a product
E: negative exponent
F: zero exponent
Answer:
A: product of powers
B: quotient of powers
E: negative exponent
Step-by-step explanation:
Let's evaluate to see which several rules we would be applying in each step
[tex] \frac{((-8)^4)^{-5}}{(-8)^6} [/tex]
[tex] \frac{((-8)^{4*-5}}{(-8)^6} [/tex] (power of a power)
[tex] \frac{(-8)^{-20}}{(-8)^6} [/tex]
[tex] (-8)^{-20 - 6} [/tex] (quotient of powers)
[tex] (-8)^{-26} [/tex]
[tex] \frac{1}{(-8)^{26}} [/tex] (negative exponent)
Thus, the rules of exponents we have applied to far are:
A: product of powers
B: quotient of powers
E: negative exponent
Answer:
product of powers
quotient of powers
negative exponent
The expression x[(y - w) + z] is equivalent to
Answer:
Step-by-step explanation:
we need to remove the parenthesis first
x(y-w+z)=xy-xw+xz
PLEASE HELP ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
0.96% or 1% to the nearest whole ( use the whole as for your answer )
Step-by-step explanation:
825-817 = 8
8 / 825 = 0.00969696....
x 100 = 0.96%
Which of the following statements best explains why this graph shows a set of points that represent a relation that is not a function of x?
There are x-values which are paired with multiple y-values.
There are 12 grams of sugar in 1⁄3 of a piece of candy. How much sugar is in 3⁄4 of a piece of candy?
Answer:
27 grams of sugar
Step-by-step explanation:
If 1/3 candy contains 12 grams of sugar
Then 3/4 candy contains C grams of sugar
C= 3/4 * 12grams➗1/3=3*12*3grams➗4=108grams➗4=27 grams of sugar
I need help thank you.
Answer:
x ≤ 1
Step-by-step explanation:
The graph goes in the left direction, meaning the inequality needs to be less than.
The point is at the point positive 1 and has a shaded dot, meaning the inequality needs to be less than or equal to 1.
Answer:
B
Step-by-step explanation:
x ≤ 1
As thee circle at 1 is filled,you have to include 1 also
On a test, Jim answered 28 problems correctly. He answered 80% of the questions correctly.
How many questions were on the test?
Answer:
35
Step-by-step explanation:
M is the midpoint of AN, A has coordinates
(-7,4), and M has coordinates (-4, -1). Find
the coordinates of N.
Help explain pls?
==========================================================
Explanation:
Let's focus on the x coordinates of each point for now.
Point A has x coordinate -7Point N has an unknown x coordinate. We leave it as x for now.Point M has x coordinate -4The idea to find the midpoint's coordinates is to add up the endpoints coordinates and divide by 2.
So we'll add up -7 and x, then divide by 2 to get the midpoint x coordinate of -4
In short we have: (-7+x)/2 = -4
Solving for x leads to...
(-7+x)/2 = -4
-7+x = 2*(-4)
-7+x = -8
x = -8+7
x = -1
This is the x coordinate of point N
-------------------------------
We'll repeat the same idea and steps for the y coordinates
Point A has y coordinate 4Point N has y coordinate unknown. Leave it as y for now.Point M has y coordinate -1So,
(4+y)/2 = -1
4+y = 2(-1)
4+y = -2
y = -2-4
y = -6
This is the y coordinate of point N.
------------------------------
In summary, we found that point N is located at (-1, -6)
Point A is (-7,4) and point N is (-1,-6)
If you apply the midpoint formula to those two points, you should find the midpoint to be M(-4,-1) which helps confirm the answer.
Another way to confirm the answer is to compute the distance from A to M, which finds the length of segment AM. Do the same for segment MN. You should find that both segments are the same length.
The diagram below is a visual way to check. Starting at point A and moving down to point B, we moved 5 units. Then go from B to M and you'll move 3 units to the right. This pattern "down 5, right 3" is applied again when we go from M to C to N in that order. This effectively creates two congruent triangles (ABM and MCN) which can lead to proving AM = MN.
In short: the red piece of the graph is the same length as the blue piece; this confirms we have the correct answer.
Step-by-step explanation:
According to Question , M is the midpoint of AN, A has coordinates (-7,4), and M has coordinates (-4, -1).
Figure :-
[tex] \setlength{\unitlength}{1 cm}\begin{picture}(20,12) \put(4,0.2){\line(0,-1){0.4}}\put(1,0){\line(1,0){6}} \put(3.8,-0.6){$\bf M(-4,-1) $} \put(1,-0.6){$\bf A (-7,4)$} \put(6.8,-0.6){$\bf N(x,y)$} \end{picture}[/tex]
Let the coordinates of N be ( x , y )
Now , according to Midpoint Formula , the midpoint of points say A(x , y) and B (x' , y') is given by ,
[tex]\boxed{\blue{ \bf Midpoint =\bigg( \dfrac{x+x'}{2} , \dfrac{y+y'}{2} \bigg) }}[/tex]
On using this formula ,
[tex]=> Midpoint = \bigg( \dfrac{x+x'}{2} , \dfrac{y+y'}{2} \bigg) \\ \\ => (-4, 1) = \bigg( \dfrac{x -7 }{2} , \dfrac{y + 4 }{2}\bigg) \\ \\ => -4 = \dfrac{x-7}{2} \\\\ => x - 7 = -8 \\\\ => x = 7 -8 \\\\ \boxed{\red{\sf=> x = -1 }} \\\\ => \dfrac{y+4}{2}=-1 \\\\=> y +4 = -2 \\ \\ y = -4-2 \\\\\boxed{\red{\sf=> y = -6 }}[/tex]
(5c^2 - 3c +9) - (2c^2 + 8c - 3)
the equation of a line going through the point (9,2) and (-15,2)
Answer:
y = 2
Step-by-step explanation:
Two 6-sided dice are rolled. What is the probability that the sum of the two numbers of the dice will be less than 6?
Answer:
I believe it would just be 5/6.
Step-by-step explanation:
In a six-sided dice, there are five numbers less than 6!
Step-by-step explanation:
sum of dice=1+2+3+4+5+6=21
sum of two sided dice=21(2)=42
sum of numbers less than 6=1+2+3+4+5=15
probability of two numbers less than 6=2/12=1/6
Krya is playing a card game. Black cards are worth points while red cards take points away. What is her score if she has a black 20-card and a red 42-card
Answer:
her score would be -22
Step-by-step explanation:
20-42=-22
Can someone pleaseeeeeeeeeee solve these for me
Answer:
16. (See the attachment)
Step-by-step explanation:
None
PLEEAAASE HELPPPPP
Distance = ________ x time
A. flow
B. rate
C. work
Answer:
B:rate
Step-by-step explanation:
the formula distance= rate × time
Answer:
B
Step-by-step explanation:
The formula for distance is rate × time.
Flow and work don't make sense. Also, work is force × distance.
However, you were given rate is equal to distance/time (r=d/t) and were asked to find what distance would be:
in that case, we'll isolate d onto one side
here's the equation
r=d/t
multiply by t on both sides
rt=d, or rate × time equals distance
either way it's B
Hope this helps!