Answer:
[tex]x=\frac{ab}{a+b}[/tex]
Step-by-step explanation:
Combine the two fractions on the right by using the common denominator ab.
[tex]\frac{1}{x}=\frac{b}{ab}+\frac{a}{ab}\\=\frac{b+a}{ab}[/tex]
If two quantities are equal, then their reciprocals are equal.
[tex]x=\frac{ab}{b+a}[/tex]
Answer:
x = [tex]\frac{ab}{b+a}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{x}[/tex] = [tex]\frac{1}{a}[/tex] + [tex]\frac{1}{b}[/tex]
Multiply through by abx ( the LCM of denominators ) to clear the fractions
ab = bx + ax ← factor out x from each term on the left side
ab = x(b + a) ← divide both sides by (b + a)
[tex]\frac{ab}{b+a}[/tex] = x
jskaoqlqmsbdnsoqqk
[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} [/tex]
Answer:
[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} \\ \\ \sqrt{5 \times 15 \times 3} \\ \\ = 5 \times 3 \\ \\ = 15[/tex]
[tex]\\ \rm\longmapsto \sqrt{5}\times \sqrt{15}\times \sqrt{3}[/tex]
[tex]\\ \rm\longmapsto \sqrt{5\times 15\times 3}[/tex]
[tex]\\ \rm\longmapsto \sqrt{5\times 5\times 3\times 3}[/tex]
[tex]\\ \rm\longmapsto 5(3)[/tex]
[tex]\\ \rm\longmapsto 15[/tex]
What are the coordinates of the point on the directed line segment from (-10, -3)
to (10,7) that partitions the segment into a ratio of 3 to 2?
Answer:
p(x,y)= (2,3)
Step-by-step explanation:
i have used partition formula in the pic below. If there is any question you can ask me in comment.
36. A function g is described below
.
g(x) = (x - 3)2 + 1
• The domain of g is all real numbers greater than 0.
The range of g is all real numbers greater than
or equal to -
F. 1
H. -3
G. 3
J. 10
Answer: F
Step-by-step explanation:
A square is always positive:
[tex](x-3)^2 \geq 0\\\\g(x)=(x-3)^2+1 \geq 1\\\\answer\ F\\[/tex]
Answer:
F.
Step-by-step explanation:
The expression (x - 3)^2 is always >= 0.
The minimum value of g occurs when x = 3 :- that is (3-3)^2 + 1 = 1.
The range of g(x) is all real numbers >= 1.
A commodity was sold for 120.00 at a 20% loss on the cost. What is the price of the merchandise?
Answer:
$150
Step-by-step explanation:
CP = 100/(100 - L%) × SP
CP = 100/(100 - 20) × 120
CP = 100/80 × 120
CP = 5/4 × 120
CP = 5 × 30
CP = $150
Please find the value of x
Answer:
[tex]2x - 10 = 3x - 40 \\ x \: terms \: togather \\ 3x - 2x = - 1 0 + 40 \\ x = 30 \\ thank \: you[/tex]
please help me please.
Step-by-step explanation:
For every clockwise 90-degree rotation on a point (x, y), the resulted transformation will be (y, -x).
Now, counterclockwise 270 degree rotation is equivalent to clockwise 90 degree rotation. Then, for instance, point H=(2 ,-1) will be transformed into the image H'=( -1,2)
2.
Graph the set of points. Which model is most appropriate for the set? (–6, –1), (–3, 2), (–1, 4), (2, 7)
A. linear
B. exponential
C. quadratic
Answer:
A. linear
Step-by-step explanation:
Pringle's variety pack 18 cups for $6.48 cost per cup
Answer:
0.36
Step-by-step explanation:
Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls.What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw?
Pls help me i’ll really appreciate it!!
this is loki ez
but just go in order
how to solve this things
Answer:
8/5
Step-by-step explanation:
...................
smg membantu, mff kl slh
Please help! This is due soon!!!
Write a function that has roots at x=2,6.
Answer:
x^2-8x+12
Step-by-step explanation:
(x-2)(x-6) roots= 2,6
x^2-6x-2x+12
=x^2-8x+12
4.
Evaluate the expression below if
Y = -1 and y-3
3x-y
Answer:
• If y= -1 and x= -3-8• If y= -3 and x= -1-1Step-by-step explanation:
If you mean: Let y= -1 and x= -33x - y = ?3(-3) - (-1) = ?-9 - (-1) = ?-8If you mean:Let y= -3 and x= -13x - y = ?3(-1) - (-3) = ?-4 - (-3) = ?-1[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
4. 1 less than twice the square of a number
Answer:
2(x^2)-1
Step-by-step explanation:
The square of a number is just the number squared. We don't know what the number is so I will just say it is x. So we have 2 times x^2. Then we have to minus 1 from that. So 2(x^2)-1.
Hope this helps! :D
The expression "1 less than twice the square of a number" can be represented mathematically as [tex]\(2x^2 - 1\)[/tex], where x is the variable representing the number.
Expression: [tex]\(2x^2 - 1\)[/tex]
Step 1: Square the number x:
[tex]\((x)^2 = x^2\)[/tex]
Step 2: Multiply the squared number by 2:
[tex]\(2 \cdot x^2 = 2x^2\)[/tex]
Step 3: Subtract 1 from the result of step 2:
[tex]\(2x^2 - 1\)[/tex]
This is the final expression that represents "1 less than twice the square of a number."
For example, if we substitute a specific value for x, let's say x = 3:
Step 1: Square the number: [tex]\(3^2 = 9\)[/tex]
Step 2: Twice the squared number: [tex]\(2 \cdot 9 = 18\)[/tex]
Step 3: Subtract 1: 18 - 1 = 17
So, when x = 3, the expression [tex]\(2x^2 - 1\)[/tex] evaluates to 17.
To know more about square, refer here:
https://brainly.com/question/14123715
#SPJ3
Is 16g + 10 - 4g and 20g + 10 equivalent
The area of the square is 64 ft? What are the side lengths?
4
4 ft, 16 ft 4 ft, 16 ft
B)
16 ft, 16 ft, 16 ft, 16 ft
C)
8 ft. 8 ft, 8 ft. 8 ft
D)
4 ft. 4 ft 4 ft. 4ft
Answer:
C
Step-by-step explanation:
the square root of 64 is 8ft
(a) Write these in order of size starting with the smallest 0.8 78% ⅞ 0.71
Answer:
0.71, 78%, 0.8, [tex]\frac{7}{8}[/tex]
Step-by-step explanation:
78% = 0.78
7/8 = 0.875
How would I prove the congruency of these triangles?
Step-by-step explanation:
the radius cuts the segment into two equal parts because it is perpendicular to the chord
Answer:
Step-by-step explanation:
As O is the mid point of the circle
Similarly, B also becomes the mid point of the line AC.
So, line OB divides AB and BC equally.
Hence, lines AB = AC, but they are asking to prove congruency of triangles.
So, u have to join OA and OC.
Same way, line OB divides ∠OBA and ∠OBC.
So it is proved that AB = AC
Which one of the following
lists correctly places these
rational numbers in order from
least to greatest?
-1.20, -1/5 -174-17g. -1.30
Find the slope of a line that contains the two points. (-2, 8) and (1, 2)?
Answer:
The slope is -2
Step-by-step explanation:
(-2, 8) and (1, 2)
Slope formula:
m= (y2-y1)/(x2-x1)
Work:
m= (2 - 8)/(1 + 2)
m= (-6)/3
m = -2
4r + 13 = -15 -3r
i dont know how to do this and its due at 4
Answer:
r = -4
Step-by-step explanation:
4r + 13 = -15 -3r
7r = -28
r = -28/7
r = -4
Answer:
r = -4
Step-by-step explanation:
4r + 13 = -15 -3r
Add 3r to each side
4r + 13+3r = -15 -3r+3r
7r +13 = -15
Subtract 13 from each side
7r+13-13 = -15-13
7r = -28
Divide each side by 7
7r/7 = -28/7
r = -4
PLS HELP ASAP GIVE ANSWER RQ
Add 5 to x, double what you have, then subtract 3 from the result and simplify the expression.
a.2x + 10
b.2x + 7
c.x + 7
d.2x – 7
Which of the following properties is this?
8x/3 • 3/8x = 1
Answer:
Multiplication
Step-by-step explanation:
Multiplication
What is the difference between the sum of 1/2 and 10 and the product of 1/2 and 10?
Write 3.7777... As a mixed number
Answer:
3 7777/10000
Step-by-step explanation:
Answer:
[tex]3\frac{7}{9}[/tex]
Step-by-step explanation:
[tex]3.777...=3+0.777...[/tex]
[tex]0.777...=x\\7.777...=10x[/tex]
[tex]10x-x=7.777...-0.777...\\9x=7\\x=\frac{7}{9}[/tex]
The answer is [tex]3\frac{7}{9}[/tex]
PLEASE HELP ME IM RUNNING LOW ON TIME
Answer:
[tex]1)x = 8 \\ x + y + 2 = 8 + y + 2 = 10 + y \\ 2)x = 9 \\ x + y + 2 = 9 + y + 8 = 17 + y \\ 3)y = 3 \\ x + y + 2 = x + 3 + 2 = x + 5 \\ 4) y = 0 \\ x + y + 2 = x + 0 + 2 = x + 2 \\ 5)x = 6 \: y = 2 \\ x + y + 2 = 6 + 2 + 2 + = 10 \\ thank \: you[/tex]
WILL MARK BRAINLIEST: In a car park, 2/3 of the cars are red.
1/5 of the cars are blue.
What fraction of the cars are red or blue?
Answer:
13/15
Step-by-step explanation:
Answer:13/15
Step-by-step explanation:
(PLEASE ANSWER ASAP I JUST NEED TO KNOW IF I GOT THIS ONE CORRECT PLEASE EXPLAIN ALSO)
Hey there! I'm happy to help!
We have $100.75 to spend.
Each spool costs $3, and we have 24 spools.
3×24=72
Each glue costs $1 and we have 7 packages of glue.
7×1=7
We add up these expenses.
72+7=79
And we subtract from our total amount.
100.75-79=21.75
So, Joanna has $21.75 left after buying these things.
Have a wonderful day and keep on learning! :D
Answer:
21.75
total money she has is 100.75
1 spool of ribbon $3
she buys 24 spools = 24X3
$72
1 glue cost $1
so 7 package glue cost =7X1= $7
money that he left is equals to 100.75- 79
=21.75
factorise
[tex]4p {}^{3} q + 12p {}^{2} q {}^{2} + 8pq {}^{3} [/tex]
[tex]4 {p}^{3} q + 12 {p}^{2} {q}^{2} + 8p {q}^{3} \\ = 4pq(p + q)(p + 2q)[/tex]
I hope I helped you^_^
I need the perimeter of this triangle. Round to the nearest tenth. Quickly please
Answer:
The perimeter of the triangle is about 17.1 units.
Step-by-step explanation:
The perimeter of a triangle is the sum of its three side lengths.
We can see that the two legs of the triangle both measure five units.
To find the third segment, we can use the Pythagorean Theorem since the x-axis is perpendicular to the y-axis. Recall that:
[tex]a^2 + b^2 = c^2[/tex]
Where a and b are the two legs and c is the hypotenuse.
Our two legs are 5 and 5. Hence:
[tex](5)^2 + (5)^2 = c^2[/tex]
Solve for the hypotenuse:
[tex]\displaystyle \begin{aligned} c &= \sqrt{(5)^2 + (5)^2} \\ &= \sqrt{2(5)^2} \\ &= 5\sqrt{2}\end{aligned}[/tex]
Hence, our perimeter will be:
[tex]\displaystyle P = 10 + 5\sqrt{2} \approx 17.1 \text{ units}[/tex]
In conclusion, the perimeter of the triangle is about 17.1 units.