Answer:
2(x^2 + 3x + 34)
Step-by-step explanation:
(6x+7+8^2) + (2x^2-3)
= 6x + 7 + 64 + 2x^2 - 3
= 2x^2 + 6x + 68
= 2(x^2 + 3x + 34)
y is directly proportional to x2
If y = 8 when X = 2 find
y when x 3
.
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{\textit{"y" varies directly with }x^2}{y=kx^2}\qquad \textit{we also know } \begin{cases} y=8\\ x=2 \end{cases} \\\\\\ 8=k(2)^2\implies 8=4k\implies \cfrac{8}{4}=k\implies 2=k~\hfill \boxed{y=2x^2} \\\\\\ \textit{when x = 3, what is "y"?}\qquad y=2(3)^2\implies y=2(9)\implies y=18[/tex]
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!
Answer:
m∠4 = 140°
Step-by-step explanation:
m∠1 = m∠4 (parallel lines with same angle)
m∠2 = m∠3 (parallel lines with same angle)
if m∠2 = m∠3 are equal:
3x + 10 = 5x - 10
3x - 5x = -10 - 10
-2x = -20
x = 10°
m∠2 = m∠3 = 3x + 10 = 3(10) + 10 = 40°
m∠1 + m∠4 + 40° + 40° = 360°
2 m∠4 = 360° - 80°
2 m∠4 = 280°
m∠4 = 140°
Answer:
m∠4 = 140°
Step-by-step explanation:
Vertical Angle Theorem: vertical angles are always congruent.
Therefore, m∠1 = m∠4 and m∠2 = m∠3
As m∠2 = m∠3, then
⇒ 3x + 10 = 5x - 10
⇒ 20 = 2x
⇒ x = 10
So m∠2 = 3x + 10 = 3(10) + 10 = 40°
m∠2 and m∠4 form a linear pair
Therefore m∠2 + m∠4 = 180°
⇒ 40 + m∠4 = 180
⇒ m∠4 = 140°
Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair always sum to 180°
When you add fractions does the denominator change.
it may or may not change
Answer:
No.
Step-by-step explanation:
The denominator only changes when multiplying or dividing.
The curved surface area of a right circular cylinder of height 14 cm is 88 cm².
Answer:
The diameter of the base of the cylinder is 2 cm.
Step-by-step explanation:
GIVEN :
As per given question we have provided that :
➣ Height of cylinder = 14 cm➣ Curved surface area = 88 cm²[tex]\begin{gathered}\end{gathered}[/tex]
TO FIND :
in the provided question we need to find :
➠ Radius of cylinder ➠ Diameter of cylinder[tex]\begin{gathered}\end{gathered}[/tex]
USING FORMULAS :
[tex]\star{\underline{\boxed{\sf{\purple{Csa = 2 \pi rh}}}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\purple{d = 2r}}}}}[/tex]
➛ Csa = Curved surface area ➛ π = 22/7➛ r = radius ➛ h = height ➛ d = diameter[tex]\begin{gathered}\end{gathered}[/tex]
SOLUTION :
Firstly, finding the radius of cylinder by substituting the values in the formula :
[tex] \begin{gathered} \qquad{\longrightarrow{\sf{Csa = 2 \pi rh}}} \\ \\ \qquad{\longrightarrow{\sf{88 = 2 \times \dfrac{22}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{\cancel{7}}\times r \times \cancel{ 14}}}} \\ \\ \qquad{\longrightarrow{\sf{88 =44 \times r \times 2}}} \\ \\ \qquad{\longrightarrow{\sf{88 =88 \times r}}} \\ \\ \qquad{\longrightarrow{\sf{r = \frac{88}{88}}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\pink{r = 1 \: cm}}}}}} \end{gathered}[/tex]
Hence, the radius of cylinder is 1 cm.
———————————————————————
Now, finding the diameter of cylinder by substituting the values in the formula :
[tex]\begin{gathered} \qquad{\longrightarrow{\sf{d = 2r}}} \\ \\ \qquad{\longrightarrow{\sf{d = 2 \times 1}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\red{r = 2 \: cm}}}}}}\end{gathered}[/tex]
Hence, the diameter of the base of the cylinder is 2 cm.
[tex]\rule{300}{2.5}[/tex]
CSA of a cylinder = 88 cm²
height = 14 cm
diameter = ?
CSA of a cylinder = 88 cm²
2πrh = 88 cm²
____[tex]2 \times \frac{22}{7} \times r \times 14 = 88 cm²[/tex]
[tex]2 \times \frac{22}{1} \times r \times2 \: = 88 cm²[/tex]
[tex]2 \times 22 \times r \times 2 = 88 cm²[/tex]
[tex]88r = 88 cm²[/tex]
[tex]r = \frac{88}{88} [/tex]
[tex]r = 1 [/tex]
____Diameter = radius + radius
= 1 + 1
= 2
____Therefore, The Diameter of the base of the cylinder is 2.Please explain number 17 that is the answer on this picture but I cannot understand it I need this done tonight you will get Brainly
Answer:
[tex]x^{2} +2y^{2} +8xy[/tex]
Step-by-step explanation:
[tex]6x^{2} -4xy + 2y^{2} -5x^{2} +2xy+10xy[/tex]
Okay, so of course you need to add like terms. But where should you start? Well, [tex]6x^{2}[/tex] and [tex]-5x^{2}[/tex] are both like terms, so lets add them first.
[tex]6x^{2} -5x^{2} = x^{2}[/tex]
Also, [tex]-4xy[/tex], [tex]2xy[/tex], and [tex]10xy[/tex] are like terms, so we can add them together too.
[tex]-4xy + 2xy +10xy = 8xy[/tex]
There isn't anymore like terms, so now we need to put it in simplest form.
[tex]x^{2} +2y^{2} +8xy[/tex]
Hope this helps! I actually think 2y^2 is before x^2 in the answer, but unless you need it in simplest form it shouldn't matter. Review with your teacher before turning in if you can. :))
solve for x y=(5)/(\sqrt(x-3))
[tex]x = (5/y)^2 + 3[/tex]
If an object is projected upward with an initial velocity of 125 ft per sec, its height h after t seconds is h = - 161? + 125t. Find the height of the object after 5 seconds
Answer:
464 ft
Step-by-step explanation:
h = 125t - 161
h = 125(5) - 161
h = 625 - 161
h = 464
Levi is planning a road trip. He throws a dart on a map of the United States to decide where to go. There are 4 states that start with the letter A, 3 states that start with the letter C, and 8 states that start with the letter M. What is the probability that Levi throws a dart on a state that starts with an A or an M? (Hint: There are 50 total states.)
P(A∪M)=
1) 0.01
2) 0.24
3) 0.64
4) 0.42
Answer:
since there are 4 states that start with A and 8 that start with M, this means that out of the 50 states there are 12 states that he could throw a dart at and get either A or M, meaning that 12/50 is the fraction and 12/50 converted into a percentage or decimal is 0.24 meaning that 0.24 is the probability that he throws a dart and hits a state that starts with an A or M
.please help my teacher is going to call me in 7 minutes
Answer:
1.2 * 10^14
Step-by-step explanation:
Do 2*6 = 12
Do 10^5 * 10^8 = 10^(5+8)=10^13
Multiply the two answers together: 12 * 10^13
Write in scientific notation: 1.2 * 10^14
Solution:
Before we begin solving, I suggest reviewing a rule about multiplying exponents.
Rule about multiplying exponents:
Rule: If the base of a number is multiplied with the same base, the exponents will add.Now, let's solve for the answer.
Open the brackets of both expressions.
(2 x 10⁵) x (6 x 10⁸)2 x 10⁵ x 6 x 10⁸)Simplify 2 x 10⁵ x 6 x 10⁸.
2 x 10⁵ x 6 x 10⁸Add the exponents as per multiplying exponent rule
=> 2 x 6 x (10⁵⁺⁸)=> 12 x 10¹³Hence, the answer is 12 x 10¹³.
Learn more about exponents: https://brainly.com/question/3944602
remember, hydrate or diedrate.
u r loved
cheese
Answer:
ok
Step-by-step explanation:
What is: Factorise 7−x^2
Answer:
([tex]\sqrt{7}[/tex] - x )([tex]\sqrt{7}[/tex] + x )
Step-by-step explanation:
Using the difference of squares
a² - b² = (a - b)(a + b) , then
7 - x²
= ([tex]\sqrt{7}[/tex] )² - x²
= ([tex]\sqrt{7}[/tex] - x)([tex]\sqrt{7}[/tex] + x)
Can someone please help me? :(
Answer:
x>3 here is your answer
Cruz's Frame Shop makes a mat by removing out the inside of a rectangular mat board. Use the measurements from the diagram to find the area of the mat for the frame. (area of the shaded region). Do not use units
Answer:
2x -16
Step-by-step explanation:
The area of each rectangle is the product of its length and width. The shaded area is the difference between the areas of the outside rectangle and the inside rectangle.
shaded area = (2x -1)(x +6) -(2x +5)(x +2)
= (2x^2 +11x -6) -(2x^2 +9x +10)
= (2 -2)x^2 +(11 -9)x +(-6 -10)
= 2x -16 . . . . . area of the shaded region
In a function, y varies directly with x, and the constant of variation is 2. Which table could represent this function?
х
2
4
6
8
у
1
2
4
8
colo
у
4
х
2.
4
6
8
10
х
2
4
6
8
у
8
12
16
20
600 ola
COCO
х
2
у
4
Answer:
the first option is correct
In a function, y varies directly with x and the constant variation is 2, then the function is y=2x. Therefore, option D is the correct answer.
What is direct variation?Mathematical relationship between two variables which can be expressed by an equation in which one variable is equal to a constant times the other.
Given that, in a function, y varies directly with x and the constant variation is 2.
y∝x
y=kx, where k is constant variation.
Here, k=2
Then, y=2x
When x=1, 2, 3, 4 and 5.
We get, y 2, 4, 6, 8 and 10
Therefore, option D is the correct answer.
Learn more about the direct variation here:
https://brainly.com/question/13977805.
#SPJ7
Identify the terms and the like terms in this expression. 7 + a – 2 + 3a + b2 Which statements are true? Check all that apply.
- The expression contains seven terms.
- The terms in the expression are 7, a, 2, 3a, b2.
- Constants are like terms.
- 2 and b2 are like terms because they both contain the number 2.
- a and 3a are like terms.
- a, 3a, and b2 contain variables, so they are like terms
Step-by-step explanation:
Terms can be a single number or variable, or a coefficient.
The expression contains seven terms, incorrect. Doesn't include coefficients.
The terms in the expression are [tex]7[/tex], [tex]a[/tex], [tex]2[/tex], [tex]3a[/tex], [tex]b^2[/tex]. Correct. Includes coefficients.
Constants are like terms, correct. (7, 2)
2 and [tex]b^2[/tex] are like terms because they both contain the number 2, incorrect. [tex]b^2[/tex] can only combine with a coefficient with the exact same terms. ([tex]b^2[/tex])
a and 3a are like terms, correct. Both are like terms since both have the variable of a.
a, 3a, and [tex]b^2[/tex] contain variables, so they are like terms. Incorrect. As said before, [tex]b^2[/tex] can't combine with 3a and a. (4a)
Can anyone help please
Your cell phone bill is $38.00.
You have a coupon for 5% off.
What is the new total?
Please help me
What is the measure of m?
m
m
n
8
4
m = [?]
=
Give your answer in simplest form.
Enter
Answer:
m = 4√6
Step-by-step explanation:
Using the "geometric mean" relations applicable to this triangle, the value of m is the geometric mean of the hypotenuse segments it touches:
m = √((8)(8+4)) = √96
m = 4√6
__
Additional comment
Similarly, n = √(4×8) = 4√2.
These relations come from the similarity of the triangles. For m, the proportion is ...
long side/hypotenuse = 8/m = m/12
96 = m² ⇒ m = 4√6
Name the rule for this sequence.
18, 14, 10, 6, 2,…
A. subtract 4 from the previous term
B. add 4 from the previous term
C. divide the previous term by 4
D. divide the previous term by 4
Answer:
It is A
Step-by-step explanation:
Because 18 to 14 is subtracting 4 and then it goes 14 to 10 which is another 4. Hope you ace the quiz or test or whatever your doing hope it helps.
Option A
It's an arithmetic sequence
First term=a=18Common difference=d=4.Rule is
[tex]\\ \rm\hookrightarrow a_n=a+(n-1)d[/tex]
[tex]\\ \rm\hookrightarrow a_n=18+(n-1)4[/tex]
Jacob can drive 42 miles per gallon in his new hybrid car. He needs to drive 336 miles next week. How many gallons of gas will Jacob need to drive next week?
BRAINLIEST
please solve 8 x 1/3 and show work!
8 x [tex]\frac{1}{3}[/tex]
= [tex]\frac{8}{1}[/tex] x [tex]\frac{1}{3}[/tex]
= [tex]\frac{8 x 1}{1 x 3}[/tex]
=[tex]\frac{8}{3}[/tex]
Answer:
8/3 or 2 2/3
Step-by-step explanation:
8 is also equal to 8/1
8/1 x 1/3
you multiply the numerators to get 8
then multiply the denominators to get 3
Look at the sequence below. Which statement best describes the relationship between terms. 1 64, 4,
The statement best describes the relationship between terms is that they are perfect squares
What are perfect squares?Perfect squares are the product of an integer with itself
All the terms of the sequences are perfect squares since:
1^ 2 = 1
8^2 - 64
2^2 = 4
Note that since we can multiply the integers together with each other, then they are a perfect square.
The statement best describes the relationship between terms is that they are perfect squares
Learn more on perfect squares here: https://brainly.com/question/1538726
So bad with this someone please help
Answer:
The mean travelling time is 25 minutes.
Step-by-step explanation:
add up all of the values and divide by how much values there are. 5+15+25+35+45 equals 125. 125/5 equals 25
what I wrote earlier was cut off sorry, this is what I mean:
You can download Gauthmath if you want to solve your math problems.
Available on Playstore/Appstore
how would you solve for the variables?
Answer:
Solution
Let The side of Triangle be ABC.
Let B be perpendicular.
Hypotenuse=30
Perpendicular=?
Base=24
Perpendicular= √h2-b2
=√30×30-24×24
=√900-576
=√324
=18
Please help!! Will give brainliest.
Answer:
Step-by-step explanation:
[tex]=3x-(-2-4x)\\\\=3x+2+4x\\\\=7x+2\\\\=7*5+2\\\\=35+2\\\\=37[/tex]
[tex]=3x-(2-4x)\\\\=3x-2+4x\\\\=7x-2\\\\=7*5-2\\\\=35-2\\\\=33[/tex]
[tex]=-3x-(-2-4x)\\\\=-3x+2+4x\\\\=x+2\\\\=7+2\\\\=9[/tex]
lol i need an answer and pls explan it to me
The slope of AB is different from the slope of BC
==================================================
Reason:
Points A,B,C are all on the same line. We consider them collinear points. This means that the slopes of AB, AC and BC are the same value.
If the slopes were different at all, then the points wouldn't be collinear. In this case, the slope is 2/3 because we move up 2 each time we move to the right 3 units.
I would appreciate if someone helped me with this question! Please include the steps you made to get the answer :)
1-2x=-x+3
(Please don't delete this question again!!! Its school appropriate theres nothing wrong with it! I'm doing what im supposed to!)
How many solutions does the equation 4(x-1)=1/2(x-8) have?
Answer:
Should be just one solution :)
Step-by-step explanation:
Answer:
It just has one solution :)
Step-by-step explanation:
4(x+1)=1/2(x-8)
4x-4 = 1/2(x-8)
4x-4=1/2x-4
4x=1/2x
8x=x
(8x-x=0)
(7x=0)
Therefore x=0
Solve the inequality.
20 < k + 19
Solution:
Simplify the inequality and solve.
20 < k + 19=> 20 - 19 < k=> 1 < kThe simplified inequality is 1 < k.
[tex] \sf20 < k + 19[/tex]
Move the variable to the left-hand side and change its sign
[tex] \sf20 - k < 19[/tex]
Move the constant to the right-hand side and change its sign
[tex] \sf \: - k < 19 - 20[/tex]
Calculate the difference
[tex] \sf \: - k < - 1[/tex]
Change the signs on both sides of the inequality and flip the inequality sign
[tex] \boxed{ \tt \: k > 1}[/tex]
hello help me with this question thanks in advance
[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]
Answer 1 :-A quadrilateral having two pair of parallel sides is Parallelogram
Trapezoid :- It is the quadrilateral whose all sides are non parallel to each other Parallelograms :- It is the quadrilateral having opposite sides parallel Kite :- It quadrilateral with no parallel Trapezium :- It is a quadrilateral having one pair of parallel sides.Hence, Option b is correct
Answer 2 :-The two consecutive angles of parallelogram are Supplementary.
Supplementary angles are those angles whose sum equal to 180°.The sum of two consecutive angles are parallelogram is 180° .Hence, Option C is correct
Answer 3 :-All squares are rectangle is true statement
All squares are rectangles because square having length and breath .All rhombus is rectangle is a false statement because all sides of rhombus are equal which is not in the case of rectangle All rectangles are squares is a false statement because all sides of square are equal whereas in rectangle only opposite sides are equal. Every parallelogram is a rhombus is false statement because rhombus has all four sides equal but parallelogram Only having opposite sides equal.Hence, Option A is correct
Answer 4 :-Rhombus is the quadrilateral has diagonals perpendicular to each other
The diagonals of rhombus bisect each other at 90° . It means the diagonals of rhombus are perpendicular to each otherHence, Option B is correct