Answer:
4hx - 8x - 3h - 4
k = ------------------------
5
8x + 5k + 4
h = ------------------------
4x - 3
Step-by-step explanation:
4 (hx - 1) - 3 (x + h) = 5 (x + k)
4hx - 4 - 3 (x + h) = 5 (x + k)
4hx - 4 - 3x - 3h = 5 (x + k)
4hx - 4 - 3x - 3h = 5x + 5k add 3h both sides
4hx - 4 - 3x - 3h + 3h = 5x + 5k + 3h simplify
4hx - 4 - 3x = 5x + 5k + 3h add 4 both sides
4hx - 4 - 3x + 4 = 5x + 5k + 3h + 4 simplify
4hx - 3x = 5x + 5k + 3h + 4 subtract 5x from both sides
4hx - 3x - 5x = 5x + 5k + 3h + 4 - 5x simplify
4hx - 8x = 5k + 3h + 4
4hx - 8x - 3h - 4 = 5k
4hx - 8x - 3h - 4
k = ------------------------
5
solving for h;
4hx - 3h = 8x + 5k + 4
h(4x - 3) = 8x + 5k + 4
8x + 5k + 4
h = ------------------------
4x - 3
The value of h and k are h = (8x + 5k + 4) / (4x - 3) and k = (4hx - 8x - 3h - 4) / 5 respectively
Given:
4 (hx - 1) -3 (x +h) ≡ 5 (x + k)
open parenthesis
4hx - 4 - 3x - 3h = 5x + 5k
4hx - 4 - 3x - 3h - 5x - 5k = 0
4hx - 8x - 3h - 5k - 4 = 0
For k
4hx - 8x - 3h - 4 = 5k
[tex]k = (4hx - 8x - 3h - 4) / 5[/tex]
For h
4hx - 8x - 3h - 5k - 4 = 0
4hx - 3h = 8x + 5k + 4
h(4x - 3) = 8x + 5k + 4
[tex]h = (8x + 5k + 4) / (4x - 3)[/tex]
Therefore, the value of h and k are h = (8x + 5k + 4) / (4x - 3) and k = (4hx - 8x - 3h - 4) / 5 respectively
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Solve for X in the diagram below
PLS HELP BRAINLIST AND A THANK YOU WILL BE REWARDED :)
The 3 angles need to equal 180
The middle angle is given as 100.
180 -100 = 80
There is an x on each side so you have 2x
2x = 80
X = 80/2
X = 40 degrees
Omar wanted to fill his bathtub. His faucet poured water at a rate of 9 liters per minute. Omar forgot to plug the drain. So 12 liters were wasted before he plugged the drain and continued to fill the tub. Suppose the tub held 150 liters of water. How long was the faucet on before the tub was filled?
Answer:
162/9 = 18 minutes
Step-by-step explanation:
Factor completely 2c5 + 44c4 + 242c3. 2c3(c + 11)2 2(c + 11)2 2c3(c + 11)(c − 11) 2c3(c2 + 22c + 121)
Answer:
2c^3(c+11)^2
Step-by-step explanation:
2c^5 + 44c^4 + 242c^3
Factor out the greatest common factor
2c^3(c^2+22c+121)
Recognizing inside the parentheses is (a+b) ^2 where a =c and b = 11
2c^3(c+11)^2
Solve for x. 23x +2=15x+48x+6
Answer:
[tex]x = - \frac{1}{10} [/tex]Step-by-step explanation:
23x +2 = 15x+48x+6
To solve for x group like terms
That's
Send the constants to the right side of the equation and those with variables to the left side
We have
23x - 15x - 48x = 6 - 2
Simplify
- 40x = 4
Divide both sides by -40
[tex] \frac{ - 40x}{ - 40} = \frac{4}{ - 40} [/tex]We have the final answer as
[tex]x = - \frac{1}{10} [/tex]Hope this helps you
solve the inequality...
Answer:
Inequality form:
x>1
Interval Notation:
( 1, infinity)
the area of a trapezium is 14.7cmsquare. if the parallel sides are 5.3cm and 3.1cm long,find the perpendicular distance between them
The perpendicular distance of the trapezoid is 3.5 cm
How to determine the perpendicular distance?The given parameters are:
Parallel sides = 5.3 cm and 3.1 cmArea = 14.7 square cmThe area of a trapezoid is:
Area = 0.5 * (Sum of parallel sides) * perpendicular distance
So, we have:
14.7 = 0.5 *(5.3 + 3.1) * perpendicular distance
Evaluate
Perpendicular distance = 3.5
Hence, the perpendicular distance of the trapezoid is 3.5 cm
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If a square has a side of length 3, then it’s area is 9. This square has a side of length 3, so it’s area is 9. Is it valid or invalid?
Answer:
Yes it is valid
Step-by-step explanation:
A square is a geometric shape which is also known as a Quadrilateral. This means that it has 4 sides.
For a square, it's 4 sides are equal to one another or we can put it in other words as the length of the 4 sides of a square are congruent to one another.
From the above question, we are asked that:
"If a square has a side length of 3, it's area is 9. Is it valid or invalid?"
The above statement is valid. This is because, the formula for the Area of a Square is given as
L × L = L²
Where L = Side length = 3
Area = 3 × 3 = 3²
Area = 9
Therefore, the statement is valid.
1. Find the measure of side QM.
If f(x) = -5x – 4 and g(x) = -3x -2, find (f+g)(x).
Answer:
-8x -6
Step-by-step explanation:
f(x) = -5x – 4
g(x) = -3x -2
(f+g)(x) = -5x – 4 + -3x -2
Combine like terms
= -8x -6
Which expression is equivalent 6+7n+4+8n?
Answer: 5(2+3n)
Step-by-step explanation:
Answer:
15n + 10 should be your answer.
Step-by-step explanation:
how to write x divided by 16 in algebraic expression
Answer:
x/16 the line means your dividing the x by 16
Step-by-step explanation:
A spinner has 4 equally likely outcomes: A,B,C, and D. The spinner is spun twice. What is the probability that it lands on BB twice?
Answer:
6.25%
Step-by-step explanation:
The probability of landing on B once is 25%.
So you multiply 25% by 25%.
0.25×0.25
The answer is 0.0625.
Converting back to %, its 6.25%.
I hope this helps!
pls ❤ and mark brainliest pls!
in a polynomial function of degree 5, what is the maximum number of extreme that could be possible? (please explain with the answer if possible!)
Answer:
4 maximum extrema
Step-by-step explanation:
5th degree means that it can change direction 5 times, therefore creating a maximum of 4 extrema
if a man works 400km in 6 minutes.How long will he work in 9 minutes
Answer:
600 kmStep-by-step explanation:
400 km = x
6 min 9 min
cross multiply:
6x = 400 ( 9)
x = 3600 / 6
x = 600 km
13. Find a four digit number that is divisible by 3,
5, and 8.
Answer:
3×5×8=120
Step-by-step explanation:
divisibility and prime number
Find the distance between the two points (8, 3), (0, -3)
Answer:
The answer is 10 unitsStep-by-step explanation:
The distance between two points can be found by
[tex] \sqrt{ ({x _{1} - x_{2} })^{2} + ({y_{1} } - y_{2} )^{2} } [/tex]
where
(x1 , y1) and (x2 , y2) are the points
The distance between (8, 3), (0, -3) is
[tex] \sqrt{ ({8 - 0})^{2} + ({3 + 3})^{2} } [/tex]
[tex] = \sqrt{ {8}^{2} + {6}^{2} } [/tex]
[tex] = \sqrt{64 + 36} [/tex]
[tex] = \sqrt{100} [/tex]
We have the final answer as
10 unitsHope this helps you
PLEASE HELP! I WILL GIVE BRAINLIEST (8.02 MC) A pair of equations is shown below: y = 7x − 9 y = 3x − 1 Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)
Answer:
Step-by-step explanation:
slope intercept form: y=mx+b
m= slope
b= y-intercept
y= 7x - 9
slope= 7
y-int.= -9
y= 3x - 1
slope 3
y-int.= -1
7x-9 = 3x-1
Add 9 to both sides: 7x = 3x +8
Subtract 3 from both sides: 4x = 8
Divide by 4 on both sides: x =2
Substitute 8 into the equation: y = 3(2) -1
y = 5
Solution: (2,5)
The diameter of a wheel of a car is 30cm. If the car travels at an average speed of 13.2m/s, find the number of revolutions made by the wheel per hour, giving your answer correct to the nearest whole number.
Answer:
Approximately [tex]50420[/tex] revolutions (rounded to the nearest whole number.)
Step-by-step explanation:
Convert the diameter of this wheel to meters: [tex]d = 30\; \rm cm = 0.30\; \rm m[/tex].
Circumference of this wheel:
[tex]\pi \, d = \pi \times 0.30\; \rm m \approx 0.942\; \rm m[/tex].
Distance travelled in one hour:
[tex]\begin{aligned}v \cdot t &= 13.2 \; \rm m \cdot s^{-1} \times 3600\; \rm s \\ &= 47520\; \rm m\end{aligned}[/tex].
Number of revolutions required for covering that distance:
[tex]\displaystyle \frac{47520\; \rm m}{(\pi \times 0.30\; \rm m)} \approx 50420[/tex].
PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
140°
Step-by-step explanation:
[tex] \because m\widehat{BG} = 360\degree - m\widehat{GCB} \\
\therefore m\widehat{BG} = 360\degree - 300\degree \\
\therefore m\widehat{BG} = 60\degree \\
\because m\widehat{BGD} = m\widehat{BG}
+m\widehat{GD}\\
\therefore m\widehat{BGD} = 80\degree+60\degree\\
\therefore m\widehat{BGD} = 140\degree\\
\because m\angle BAD = m\widehat{BGD} \\
\huge\purple {\boxed {\therefore m\angle BAD =140\degree}} [/tex]
Helpp mee plss in this one
What is the surface area of a cube measure 8 c/w?
Answer:
512
Step-by-step explanation:
if 8 is the edge using the formula
V=a³=8³
V=512
Write an expression in simplified form for the area of each rectangle. Width: 7 Length: 5n-9
Answer:
35n - 63
Step-by-step explanation:
The area of a rectangle is given by
A = l*w where l is the length and w is the width
A = 7(5n-9)
Distribute
A = 35n - 63
Area of rectangle = Length * Width
Length is 5n-9
Width is 7
⇛Area = 5n-9(7)
⇛Area = 33n - 63
Factorise 7a³b²_14a²b³
Answer:
7a²b²(a - 2b)
Step-by-step explanation:
Given
7a³b² - 14a²b³ ← factor out 7a²b² from each term
= 7a²b²(a - 2b)
factor of x^3+x^2y+xy^2
Answer:
[tex] x(x {}^{2} + xy + y {}^{2})[/tex]
Step-by-step explanation:
[tex]x {}^{3} + x {}^{2}y + xy {}^{2} = x(x {}^{2} + xy + y {}^{2})[/tex]
Hope this helps ;) ❤❤❤
what is the result of converting 1260
Answer:
hiyupbhhhhkigkzblbbbgedvflr
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
There are 31 pink beads and 15 purple beads on Violet's necklace. What is the ratio of the number of beads to the number of pink beads?
A. 15:31
B. 46:31
C. 31:15
D. 31:46
Answer:
B. 46:31
Step-by-step explanation:
Answer:
46:31
Step-by-step explanation:
There are 46 beads in total (31 pink and 15 purple).
So, the ratio of the total number of beads to the number of pink beads is 46:31.
Hope this helps :)
PLEASE HELP ASAP!! (: One link below. I WILL NAME BRAINLIEST!! 30 points (: Make sure to show ur work. One who shows work and gets correct, gets title of Brainliest!! (: Convert the percentages to a fraction, and then convert the fraction to a mixed number or a whole number!
Answer:
[tex]\boxed{\sf{view \: explanation}}[/tex]
Step-by-step explanation:
To convert percentages into a fraction, divide the value by 100.
[tex]\displaystyle 800\% =\frac{800}{100} =8[/tex]
[tex]\displaystyle 375\% = \frac{375}{100} =\frac{15}{4} =3\frac{3}{4}[/tex]
[tex]\displaystyle 240\% = \frac{240}{100} =\frac{12}{5} =2\frac{2}{5}[/tex]
Answer:
see below
Step-by-step explanation:
To change a percent to a fraction, divide by 100 and simplify
800% = 800/100
Dividing by 100
= 8/1
=8
375% = 375/100
Dividing by 25
=15/4
Changing to a mixed number
4 goes into 14 3 times with 3 left over
3 3/4
240% = 240/100
Dividing by 20
=12/5
Changing to a mixed number
5 goes into 12 2 times with 2 left over
= 2 2/5
if jane has 3 apple then buys 4 times as much as that how much does she have
Answer:
12 apples
Step-by-step explanation:
3*4=12
What does 6x − 9 = 45 equal?
Answer:
9
Step-by-step explanation:
Add nine to both sides:
[tex]6x = 54[/tex]
Divide by six:
[tex] \frac{6x = 54}{6} [/tex]
[tex]x = 9[/tex]
Answer:
x = 9
Step-by-step explanation:
Add 9 to each side to begin simplifying. It should now look like this: 6x = 54Now, divide each side by 6 to find the value of x. It should look like this: x = 9I hope this helps!
Help me with this plss
If x^2+1/x^2[tex]x^{2} +\frac{1}{x^2}=10; then x+\frac{1}{x}=?[/tex]
(x + 1/x)² = x ² + 2 + 1/x ² = 10 + 2 = 12
==> x + 1/x = ±√12