Answer:
m = -15/29
Step-by-step explanation:
1) Distribute
[tex]\frac{m}{5} =6m+3[/tex]
2) Subtract 6m from both sides of the equation
[tex]\frac{m}{5} -6m=6m+3-6m[/tex]
3) Simplify
a. Find common denominator
[tex]\frac{m}{5} +\frac{5(-6)m}{5} =6m+3-6m[/tex]
b. Combine fractions with common denominator
[tex]\frac{m+5(-6)m}{5} =6m+3-6m[/tex]
c. Multiply the numbers
[tex]\frac{m-30m}{5} =6m+3-6m[/tex]
d. Combine like terms
[tex]\frac{-29m}{5} =6m+3-6m[/tex]
e. Combine like terms
[tex]\frac{-29m}{5} =3[/tex]
4) Multiply all terms by the same value to eliminate fraction denominators
[tex]5 *\frac{-29m}{5} =5*3[/tex]
5) Cancel multiplied terms that are in the denominator
[tex]-29m=5*3[/tex]
6) Multiply the numbers
[tex]-29m=15[/tex]
7) Divide both sides of the equation by the same term
[tex]\frac{-29m}{29} =\frac{15}{-29}[/tex]
8) Simplify
a. Cancel terms that are in both the numerator and denominator
[tex]m=\frac{15}{-29}[/tex]
b. Divide the numbers
[tex]m=-\frac{15}{29}[/tex]
Plz help me, thx you
Answer:
transversal line is line A. parallel lines are B and C. corresponding to angle A is angle D. and alternate angle to E is G.
3.5m/min = how manny miles/hour
Answer:
[tex]\sf\longmapsto0.13 miles/hour[/tex]
Step-by-step explanation:
Firstly we have to use the formula to find the miles/hour
[tex]\sf\longmapsto \: Formula:Divide \: the \: speed \: value \: by \: 26.822.[/tex]
[tex]\sf\longmapsto \: 3.5 \div 26.822[/tex]
[tex]\sf\longmapsto \: 0.13 miles/hour[/tex]
Show 2 + 5 in number line.
URGENT PLEASE HELP, respond to c, d, e, and f please !!
Answer:
Step-by-step explanation:
c. (18.5-17)/.9= 1.66666666667= 1.6667
d. .7107
e. .2185
f. 0.675=(x-17)/.9 x= 17.6075
Please show the process of your result. Thank you! :D
Answer:
[tex]3\sqrt{7}[/tex] Is correct answer
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
All of the cheese slices at Chester's Cheesy Cafe have the same mass.
Chester finds that the total mass of 3 cheese slices is 27 grams.
What is the mass of one of the cheese slices?
grams
What is the square root of 111.2
Answer:
Well that whole thing is to the power of 2, so whatever the square root is, it gets multiplied by itself again just to get 111.2, so the solution to that question is 111.2.
a cheetah ran 300ft in 2.92 sec what was the average speed in mph
Answer:
70.05 mph
Step-by-step explanation:
A cheetah ran 300 feet in 2.92 seconds. What is the cheetah's average speed in miles per hour
--------------------------------------
(300 ft/2.92 sec)(1 mi/ 5280 ft)(3600 sec/1 hour)
= {300*1*3600 miles)/(2.92*5280*1 hour)
= 91080000 miles/15417.6 hours
= 70.05 mph
Show that (√7+i√3/√7-i√3 + √7-i√3/√7+i√3) is real
Answer:
Step-by-step explanation:
Step-by-step explanation:
[tex]\large\underline{\sf{Solution-}}[/tex]
Consider,
[tex]\rm \longmapsto\:\dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } [/tex]
On taking LCM, we get
[tex]\rm \: = \: \dfrac{ {( \sqrt{7} + i \sqrt{3})}^{2} + {( \sqrt{7} - i \sqrt{3})}^{2} }{( \sqrt{7} + i \sqrt{3})( \sqrt{7} - i \sqrt{3})} [/tex]
We know,
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}}} \\ [/tex]
and
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}} \\ [/tex]
So, using these Identities, we get
[tex]\rm \: = \: \dfrac{2\bigg[ {( \sqrt{7})}^{2} + {(i \sqrt{3}) }^{2} \bigg]}{ {( \sqrt{7}) }^{2} - {(i \sqrt{3})}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{2(7 + 3 {i}^{2})}{7 - {3i}^{2} } [/tex]
We know,
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1}}} \\ [/tex]
So, using this, we get
[tex]\rm \: = \: \dfrac{2(7 - 3)}{7 + 3} [/tex]
[tex]\rm \: = \: \dfrac{2 \times 4}{10} [/tex]
[tex]\rm \: = \: \dfrac{4}{5} [/tex]
Hence,
[tex] \red{\rm\implies \:\boxed{\sf{ \dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } \: is \: purely \: real}}}[/tex]
Can someone help me please ?
Answer:
=
Step-by-step explanation:
1. The square root of 4 is 2 because [tex]2^2[/tex] = 4.
2. The cube root of 8 is 2 because [tex]2^3 = 2* 2 * 2[/tex] = 8.
3. 2 and 2 are equal.
Therefore, the correct symbol is =.
Please answer these and find the slope intercept form for each one.
Best answer gets brainliest!
Mira has $76 in her bank account and receives $11 in allowance every week. Write and expression to represent how much money she after w amount of weeks
Answer:
87w
Step-by-step explanation:
If she has $76 in her accoumt
and receives $11every week
76+11=$87
she would have$87xw in w amount of weeks
Answer:
76 + (11w)Step-by-step explanation:
Mira has $76 in her bank account and receives $11 in allowance every week. Write and expression to represent how much money she after w amount of weeks
----------------------------
76 + (11w)
Help ASAP I’ll mark you as brainlister
Please give a detailed explanation
[tex]\displaystyle \large \boldsymbol{} (7 \sqrt[5]{6x-10}) ^2 +\backslash\!\!\!8=\frac{49}{x^{-\tfrac{2}{5} }} +\backslash\!\!\!8 \\\\\\ 49\!\!\!\! \diagup \sqrt[5]{(6x-10)^2} = 49\!\!\!\! \diagup \cdot \sqrt[5]{x^2} \ \ ; \\\\\\ (6x-10)^2=x^2 \\\\ (6x-x-10)(6x+x-10) =0 \Rightarrow x_1=2 \ ; \ x_2=\frac{10}{7 }[/tex]
What is \frac{1.88x10^6}{2000} in scientific notation?
Answer:
Its actually 9.4 × 10²
Step-by-step explanation:
Claire ate dinner at her favorite restaurant. When she received her bill, she wanted to
leave a 15% tip. What is the correct amount for Claire to tip, if the bill was $9.00?
Answer:
$1.35
Step-by-step explanation:
you multiply $9.00 (9) by 15% (.15). Which gives you 1.35.
why did lil uzi vert get a diamond in his head
Answer:
Because he thought it would make him stand out.
There are 4 times as many dogs as cats if the total number of dogs and cats is 20
how many dogs are there
Answer:5
Step-by-step explanation: 4*5=20
Can someone help me, please?
Answer:
112
Step-by-step explanation:
30 POINTS, WILL GIVE BRAINLIEST IF ONLY RIGHT
Which of these expressions is equivalent to log 200?
A) 2 + log 2
B) 2 + log 20
C) log 50 + log 150
D) log 250 – log 50
Answer:
ITS A ITS A ITS A
ANSWER = A
Step-by-step explanation:
Gabriella is building a garden that is 3.6 m long by 7.77 m wide. What is the area of her garden?
Eight identical pens cost $10.80.
a. Write an equation in the given box that represents the total cost, y, in dollars for a pens.
|2i+3j| is equal to:
Answer:
Step-by-step explanation:
|2i+3j|=√(2²+3²)=√(4+9)=√13
What did I do wrong 1st person answer get brainlist
Answer: you got the subtracted wrong.
Step-by-step explanation: 115 - 101 = (14)
you said 13
Express the ratio of 300 miles to 25 gallons of gasoline as a untie rate
Answers:
12 miles per gallon
1.2 miles per gallon
50 miles per gallon
32 miles per gallon
Answer:
12 miles per gallon (answer A)
Step-by-step explanation:
300:25
Divide each side by 25:
12:1
12 is your answer
Hope that helps
simplify the problem 4 . 3 + 1 . 6 + 8 . 4 − 0 . 9
Answer:
13.4
Step-by-step explanation:
4.3+1.6=5.9
5.9+8.4=14.3
14.3-0.9=13.4
2. Find the value of x.
(1 point)
(5x)
(3x+28)
O 14
O20
O 12
O 19
Answer:
x = 14
Step-by-step explanation:
The triangle has 2 congruent legs and is isosceles with 2 base angles being congruent , then
5x = 3x + 28 ( subtract 3x from both sides )
2x = 28 ( divide both sides by 2 )
x = 14
Pablo's father is 4 years older than his mother. Pablo's mother is 42 years old. How old is his father? Pablo's father's age is:
Answer:
46
Step-by-step explanation:
1 sum 42+4
PLEASE HELP HELPPPPPPPPP
Answer:
(1,-4)
Step-by-step explanation:
2x+4y=-14
x-2y=9
2x+4y=-14
2(x-2y)=(9)2
2x+4y=-14
2x-4y=18
Add X
4x=4
X=1
Substitute x into any equation
(1)-2y=9
-2y=8
y=-4
Solve the problem based on the picture
Step-by-step explanation:
those are the x values in the graph above
now the slope
first, find the derivative = (-2*x)/(9+(6*x^2)+x^4)+(50*Cos(x))/(3+x^2)+((-100*x)*Sin(x))/(9+(6*x^2)+x^4)
then substitute the X values
the slope at first point=0.00214262528
the slope at secondpoint=0.29521512101
the slope at the third point=0.29521512101