Answer:
SSS~
RQP
Step-by-step explanation:
36/15 = 2.4
48/20 = 2.4
72/30 = 2.4
Triangles are similar by SSS~.
triangle JKL is similar to triangle RQP
What is the answer to 11(3x + 5y)
Answer:
33x + 55y
Step-by-step explanation:
1. To simplify this expression, we have to apply the distributive property. To utilize this property means to distribute (or multiply) the quantity outside the parentheses by the quantities inside the parentheses.
[tex]11(3x+5y)[/tex] [tex](11)(3x)+(11)(5y)[/tex] [tex]33x + 55y[/tex]Therefore, the answer is 33x + 55y.
10 greater than less than, or equal to 5? Explain
Answer:
greater than because 10 is further to the right on a numberline than 5
Step-by-step explanation:
what is 7/10 ÷ 3/8 ? plz i need help
Answer:
28/15
Step-by-step explanation:
have a wonderful day :)
Answer:
1 13/15
Step-by-step explanation:
7/10 ÷ 3/8
Copy dot flip
7/10 * 8/3
Rewrite
7/3 * 8/10
Simplify
7/3 * 4/5
Multiply
28/15
Change to a mixed number
15 goes into 28 1 time with 13 left over
1 13/15
When The sum of 1. 3240 and 1. 4872 is subtracted from 4. 0121 it will give you the difference of
A. 1. 2109
B. 2. 0905
C. 1. 2009
D. 2. 7009
Answer:
C. 1.2009
Step-by-step explanation:
1.3240 + 1.4872 = 2.8112
4.0121 - 2.8112 = 1.2009 - C
Someone help me plz
what is the equation of line that is perpendicular to the line: y=3x-6 and goes through the point ( -3 , 6 )
Step-by-step explanation:
y = 3x - 6
the slope of a line is always the factor of x in the equation. in our case here : 3 = 3/1.
the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).
the perpendicular slope (crosses the original line in a right angle = 90 degrees) turns x and y upside-down and flips the sign.
so, in our case, it is -1/3.
the equation for the perpendicular line looks like this then :
y = (-1/3)×x + b
to get b we use the provided point and it's x and y values.
6 = (-1/3)×-3 + b = 1 + b
b = 5
so, the full equation of the perpendicular line is
y = (-1/3)×x + 5
EMMA CHNAGED £500 INTO RAND BEFORE GOING ON HOLIDY TO SOUTH AFRICA THE RATE OF EXCHANGE AT THE TIME WAS £1=10-RAND.HOW MANY RAND DID HE GET FOR HIS £500?
Answer:
he got 5000 rands for it
Step-by-step explanation:
you multiply it
500 x 10 = 5000
Pls help! A B C,or D
Answer:
c or d
Step-by-step explanation:
Answer:
D. y = -2x - 10Step-by-step explanation:
Slope- intercept form:
y = mx + bIn the process of solving it was found that:
m = -2 and b = -10The equation therefore is:
y = -2x - 10Correct choice is D
show that P(x)=x³-6x²+11x-6 is divisible by x-1.
HERE IS YOUR ANSWER MATE
HOPE ITS HELPFUL
HAVE A GREAT FUTURE
LOVE FROM INDIA
Hello haohaoxNienie!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
[tex] \huge \boxed{\mathfrak{Explanation} \downarrow}[/tex]
To show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1, we must divide the polynomial by x - 1. If we get the remainder as 0, then we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
__________________
So, let's do the division (steps in the attached picture).
__________________
We got the remainder as 0. So, yes p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
__________________
More steps :-x² - 5x + 6
= (x - 3) (x - 2) [use the splitting the middle term method].
So, the zeroes are,
(x - 3)
x - 3 = 0
x = 3 ⇨ 1st zero.
(x - 2)
x - 2 = 0
x = 2 ⇨ 2nd zero.
Now, use the values of x on the equation. If we get 0 as the solution of the equation then we can prove that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
p(x) = x³ - 6x² + 11x - 6
p(3) = 3³ - 6(3)² + 11 (3) - 6
p(3) = 27 - 54 + 33 - 6
p(3) = 0.
p(x) = x³ - 6x² + 11x - 6
p(2) = 2³ - 6(2)² + 11 (2) - 6
p(2) = 8 - 24 + 22 - 6
p(2) = 0
Since we got the solutions as 0 we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.
__________________
Hope it'll help you!
ℓu¢αzz ッ
the profit per gallon of lemonade you sell is 5.00. you have enough supplies to make 12 gallons of lemonade describe the domain and range using inequalities
Answer:
5/12 is your answer
=^-^=
Rationalise the denominator of: -7/(√11 - √5)
[tex] \sf \underline{ \red{Solution - }} \\ [/tex]
Given,
[tex] \sf{\quad { \dfrac{-7}{\sqrt{11} - \sqrt{5}} }} \\ [/tex]
The denominator is √11 - √5.
We know that
Rationalising factor of √a-√b is √a+√b.
Therefore, the rationalising factor of √11-√5 is √11+√5.
On rationalising the denominator them
[tex] \longrightarrow \sf{\quad { \dfrac{-7}{\sqrt{11} - \sqrt{5}} \times \dfrac{(\sqrt{11} + \sqrt{5})}{(\sqrt{11} + \sqrt{5})} }} \\ [/tex]
Multiplying (√11 + √5) with both the numerator of the fraction.
[tex] \longrightarrow \sf{\quad { \dfrac{-7(\sqrt{11} + \sqrt{5}) }{(\sqrt{11} - \sqrt{5})(\sqrt{11} + \sqrt{5})} }} \\ [/tex]
Performing multiplication in the numerator and by using identity (a + b)(a - b) = a² - b², solving further in the denominator.
[tex] \longrightarrow \sf{\quad { \dfrac{-7\sqrt{11} -7\sqrt{5}}{(\sqrt{11})^2 - (\sqrt{5})^2} }} \\ [/tex]
Writing the squares of the numbers in the denominator.
[tex] \longrightarrow \sf{\quad { \dfrac{-7\sqrt{11} -7\sqrt{5}}{11 -5} }} \\ [/tex]
Performing subtraction in the denominator.
[tex] \longrightarrow \quad \underline{ \boxed{ \dfrac{ \textbf{ \textsf{-7 }}\sqrt{ \textbf{ \textsf{11 }}} - \textbf{ \textsf{7}}\sqrt{ \textbf{ \textsf{5 }}}}{ \textbf{ \textsf{ 6}}}} } \\ [/tex]
Hence, the denominator is rationalised.
I need help with my math homework
2/3x+17≥29
Answer:
x ≥ 18
Step-by-step explanation:
Given the inequality statement, 2/3x + 17 ≥ 29,
Subtract both sides by 17:
2/3x + 17 - 17 ≥ 29 - 17
2/3x ≥ 12
Multiply both sides by 3/2 to isolate x:
[tex](\frac{3}{2}) \frac{2}{3}x \geq 12 (\frac{3}{2})[/tex]
x ≥ 18
This graph gives the temperature of Substance B over time.
What is the slope of the line, and what does the slope mean in this situation?
Select from the drop-down menus to correctly complete the statement.
The slope is , which means that the temperature by degrees every
Answer:
The slope is (4) which means that the temperature (increases) by (4) degrees every minute
Step-by-step explanation:
20% of the tickets sold at a water park were child tickets. If the park sold 50 tickets in all,
how many child tickets did it sell?
tickets
Answer:
= 10 tickets
Step-by-step explanation:
= 20% × 50
= 20/100 × 50
= 1000/100
= 10
Someone that understands this please help!ASAP it’s 8th grade math
Answer:
simple ( principal *rate*time)/100.
3500*4*10/100 = 1400 interest
account balance =3500+1400=4900
compound p(1+r)^t
3500(1+.04)^10 =3500* 1.480=5180
interest earned = 5180-3500= 1680
how much more interest. ; 1680-1400=280
Answer:
Step-by-step explanation:
Simple Interest:
Simple Interest formula is S.I. = P × r × t
Interest Eared: $3,500 × 0.04 × 10 = $1,400
Account Balance formula is A = P ( 1 + rt )
Account Balance: $3,500 + $1,400 = $4,900
Compound Interest:
Compound Interest formula: [tex]A =P(1+r)^{t}[/tex]
Account balance: $5,180.85
Interest Earned: $5,180.85 - 3,500.00 = $1,680.85
What is 75 times 38 to the power of 2
find the sum of 5(−3.4k−7)+(3k+21) I AM SO CONFUSED!!!!!
Answer:
Your answer is -14k - 14 or k = -1
Step-by-step explanation:
-17k - 35 + 3k + 21 ( Combine like terms )
-14k - 14
-14k = 14
k = -1
Hope this helps!
5-2(a+3b)/2 When a=4 and b=1.
Hello macelynn190!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \huge \tt \frac{5 - 2(a + 3b)}{2} [/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
To solve this question we need to substitute the given values of 'a' & 'b' in the equation & then simplify it.
Given,
a = 4b = 1Now, substitute this in the place of 'a' & 'b'..
[tex]\large \tt \frac{5 - 2(a + 3b)}{2} \\ = \large \underline{\underline{\tt \: \frac{5 - 2((4) + 3(1))}{2} }}[/tex]
Lastly, simplify it...
[tex]\large \tt \: \frac{5 - 2((4) + 3(1))}{2} \\ = \large \tt\frac{5 - 2(4 + 3)}{2} \\ = \large \tt \: \frac{5 - 2(7)}{2} \\ = \large \tt \: \frac{5 - 14}{2} \\ = \large \tt\frac{-9}{2} \\ = \large \boxed{\boxed{ \bf \: -\frac{9}{2}=-4.5}}[/tex]
The answer is -9/2 or -4.5__________________
Hope it'll help you!
ℓu¢αzz ッ
Given info:-
Simplify: 5-2(a+3b)/2. When a=4 and b=1.
[5-2(a+3b)]/2
Now, put a=4 and b=1 (Because this is given in question only)
so,
⇛[5-2{4+3(1)}]/2
⇛[5-2{4+3}]/2
⇛[5-2{7}]/2
⇛[5-2×7]/2
⇛[5-14]/2
⇛-9/2 Ans.
Similar questions:
Evaluate -[-1⅘ ÷ 0.3(1.2)] - 5/6
https://brainly.com/question/25291603
5 of 8
Here is a list of numbers:
-3, 1, –12, 10, 1, 16, 19, 4, 16,
2
State the median.
Answer:
3
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST!
Answer:
P of rectangle = 2(L + W)
21 units = 2(n units + W)
21 units = 2nunits + 2W
21 = 2n + 2W
2W = 21 - 2n
W = 21 - 2n units.
2
on simplifying
10.5 - n units
The width of the rectangle is units (10.5 - n) units.
Jose has 4 times as many baseball cards as his brother. Together they have 40 baseball cards. How many baseball cards does Jose's brother have?
Answer:
Ummm..... I would think 10??
Step-by-step explanation:
I don't really know tho.....
Answer:
10
Step-by-step explanation:
4x = 40
/4 /4
x = 10
please help me lol !!!!!!!!!!!!!
Answer:
Sale kute bhan के lole
Tera baap aya ajju(^bhai 94
Write the equation of a line going through the points (2,2) and (4,-3) in slope intercept form.
Step 1: Find slope
Step 2: find b
Step by step answer please.
Answer:
the slope is y2 - y1 over
x2 - x1
which means
[tex]( - 3- 2) = - 5[/tex]
[tex](4 - 2) = 2[/tex]
slope is m= -5/2
then you take a y from the first set of points for b
[tex]y = - \frac{5}{2} x \times 2[/tex]
hope it helps.
i think this is easy for yall but nor for me lol need help
Answer:
x = 14
Step-by-step explanation:
So because the sides are equal, that means that the angles are equal.
5x = 3x + 28
Step 1.) Subtract 3x from 5x which leaves you with 2x.
2x = 28
Step 2.) Divide 28 by 2, to get the variable on its own. This leaves you with 14
x = 14
[tex]10\times 5\times 13=?[/tex]
Answer:
[tex] = > 10 \times 5 \times 13[/tex]
[tex] = > 50 \times 13[/tex]
[tex] = > 650[/tex]
Compound Interest: Suppose you deposit $250 in a new savings account paying an annual yield of 3% interest. If the account
is left alone, how much money will be in the account at the end of 5 years?
$289.82
Answer:25,347
Step-by-step explanation:
Simplify each of the following:
a. √5+2√6 + √5-2√6
b.(√p^2+1 - √p^2-1) (√p^2-1 + √p^2+1)
2√5 exact form
4.47213595 decimal form
can you solve this for me step by step please!!!
Answer:
60 DEG
Step-by-step explanation:
Angle on a straight line = 180 DEG
Equation:
4x + 2x + 90 DEG = 180 DEG
6x = 90 DEG
x = 15 DEG
Therefore,
angle LMN = 15 * 4 = 60 DEG
Is the statement “The absolute value of a number is always greater than its opposite” true?
Answer:
No; the absolute value of a negative number is equal to its opposite
Step-by-step explanation:
rewrite the equation in standard form y = - 3/4 x - 6
Answer:
Step-by-step explanation:
[tex]y =\dfrac{-3}{4}x -6[/tex]
Multiply the entire equation by 4,
[tex]4*y=\dfrac{-3}{4}x*4 - 6*4\\[/tex]
4y = -3x - 24
Add 3x to both sides
3x + 4y = -24
Add 24 to both sides
3x + 4y + 24 = 0