Answer:
Step-by-step explanation:
make a graph of what we need more of an explanation
√(112) - √(80) / √(20) - √(28) = ?
[tex]\large\underline{\sf{Solution-}}[/tex]
We need to solve,
[tex]\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}[/tex]
We can write the above mentioned expression as,
[tex]\sf\longmapsto\dfrac{\sqrt{2\times2\times2\times2\times7}-\sqrt{2\times2\times2\times5}}{\sqrt{2\times2\times5}-\sqrt{2\times2\times7}}[/tex]
So,
[tex]\sf\longmapsto\dfrac{\sqrt{4\times4\times7}-\sqrt{4\times4\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}[/tex]
So,
[tex]\sf\longmapsto\dfrac{\sqrt{4^2\times7}-\sqrt{4^2\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}[/tex]
Hence,
[tex]\sf\longmapsto\dfrac{4\sqrt{7}-4\sqrt{5}}{2\sqrt{5}-2\sqrt{7}}[/tex]
Taking common in respective terms,
[tex]\sf\longmapsto\dfrac{4(\sqrt{7}-\sqrt{5})}{2(\sqrt{5}-\sqrt{7})}[/tex]
On cancelling 4 with 2,
[tex]\sf\longmapsto\dfrac{4\!\!\!/^{\:2}(\sqrt{7}-\sqrt{5})}{2\!\!\!/(\sqrt{5}-\sqrt{7})}[/tex]
[tex]\sf\longmapsto\dfrac{2(\sqrt{7}-\sqrt{5})}{(\sqrt{5}-\sqrt{7})}[/tex]
Taking (-) common,
[tex]\sf\longmapsto\dfrac{-2(\sqrt{5}-\sqrt{7})}{(\sqrt{5}-\sqrt{7})}[/tex]
So, (√5 - √7) gets cut,
Hence,
[tex]\longmapsto\bf\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}=-2[/tex]
Hey guys, our adviser showed us an example on how to solve the problem that is given in our module. Unfortunately, there's a part of the given example that I can't recall. So, can you explain how to get the answer? (picture above)
Given :
45x[ 4/9 = 1/5 + 1/x ]To Do :-
To multiply 45x to all the terms .Solution :-
Given that ,
45x[ 4/9 = 1/5 + 1/x ]Distributive property of Multiplication over addition ,
a( b + c ) = ab + acSo that ,
45x * 4/9 = 45x* 1/5 + 45 x * 1/x 5x * 4 = 9x + 45 20x = 9x + 45Step-by-step explanation:
As it says, multiply 45x to all the terms. This is required to get rid of fractions.
See the steps below:
45x [ 4/9 = 1/5 + 1/x]45x(4/9) = 45x(1/5) + 45x(1/x) ⇒ multiply5x(4) = 9x + 45 ⇒ simplify20x = 9x + 45 ⇒ end result without fractionsplease help me :)
see image below
Answer:
x=6
Step-by-step explanation:
2x+5=17
-5 -5
2x=17-5
2x=12
x=6
Answer:
2x+5=17 is x = 6, so 17 --> -5 --> ÷2 I hope this helps! :D
Chase bought 5 chicken wings for $9.50. If Chase spent $26.60, how many chicken wings did he buy?
Please help me find the answer for this ( I think the answer is 14? I don't know for sure) thank you so much if you help me!
Find the price of 1 wing:
9.50 / 5 = 1.90 per wing
Divide total spent by price per wing:
26.60 / 1.90 = 14
Answer: 14
Answer:
14
Step-by-step explanation:
$9.50 / 5 = $1.90
$26.60 / $1.90 = 14
Expand the following
Answer:
A) 3x +15
B) 8x -2
C) 20x + 10
D) 4x - 8y
Step-by-step explanation:
A) 3x+3 x 5 = 3x + 15
B) 2 x 4x -2 = 8x -2
C) 5 x 4x +5 x 2 = 20x + 10
D) 4x -4 x 2y = 4x - 8y
(Hope this helps can I pls have brainlist (crown)☺️)
your friend says that there are 36 feet in 12 yards is your friend correct? explain your reasoning.
PLEASE HURRY!!
Answer:
Yes
Step-by-step explanation:
1 yard is 3 feet. so 12 yards is 36 by 12*3
HELPPP PLEASEEE
If θ is 180 degrees and the radius is 4.9 cm, the length should be
A) 10.4 cm
B) 13.6 cm
C) 15.4 cm
D) 16.6 cm
Answer:
15.4 is right ans
Step-by-step explanation:
using this formula θ ×(22÷7÷180)×r
What is the slope of the line passing through the points (8, 9) and (-2, 9)?
Answer:
Slope is 0
Step-by-step explanation:
First, find the difference in the x and y of each point by subtraction.
8 - (-2) = 10
9 - 9 = 0
Because the y value doesn't change in between these two points, that indicates the slope is 0
Dean sai de casa para caminhar ate a escola que fica a 10 quadras de distancia .ele mantem um ritmo constante o tempo todo emquanto caminha ele sente fomd d decide começar a comer biscoitos a um taxa de 1 biscoito por 5 minutos toda a caminhada sele leva 20 minutos
a. Quantos biscoitos o dean come quando chega á escola
B. Quantos biscoitos dean come por bloco
C.quantos quarteiroes dean anda por minuto
What is 2/7 ÷ 4/5 ? Plz help
Answer:
5/14
Step-by-step explanation:
There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer?
Answer:
Emma is not correct. The correct ratio is 7:8.
Step-by-step explanation:
The ratio of boys to girls is 35:40, and if you simplify this you do not get 3:4 but 7:8.
Hope this helps!
one kilometer is 1000 meters complete the tables what is the interpretation of the constant of proportionality
Answer:
Step-by-step explanation:
Left side:
250=1/4 km (0.25)
12 meters=0.012
1 meter= 0.001
Right side: 5=5000 meters
20=20000 meters
Step-by-step explanation:
Left side: You divide each number by 1 km, and you should get the answer.
Right side: Do the same for the right side. But, instead of division, use multiplication.
for the functions u(t) = 7t - 2 and s(t) = t^2 - 9, what is s (u(2))?
Answer:
[tex]s(u(2)) = 135[/tex]
Step-by-step explanation:
[tex]u(t) = 7t - 2 \\ u(2) = 7(2) - 2 \\ u(2) = 14 - 2 \\ u(2) = 12 \\ \\ s(t) = {t}^{2} - 9 \\ s(u(2)) = {(12)}^{2} - 9 \\ s(u(2)) = 144 - 9 \\ \\ s(u(2)) = 135[/tex]
I hope I helped you^_^
For the functions u(t) = 7t - 2 and s(t) = t² - 9. s(u(2)) = 135
What is a function?A function is a mathematical equation that shows the relationship between two variables.
For the functions u(t) = 7t - 2 and s(t) = t² - 9.To find what is s(u(2)), we proceed as follows.
Since u(t) = 7t - 2. Then u(2) is evaluated when t = 2. So, we have that
u(t) = 7t - 2
u(2) = 7(2) - 2
u(2) = 14 - 2
u(2) = 12
Now, since u(2) = 12 and s(t) = t² - 9
s(u(2)) is evaluated as follows
s(t) = t² - 9
s(u(2)) = 12² - 9
s(u(2)) = 144 - 9
s(u(2)) = 135
So, s(u(2)) = 135
Learn more about function here:
https://brainly.com/question/29631554
#SPJ3
what is 0.0000128 as a fraction
Answer:
128/10000000 Mark Brainliest Please
Step-by-step explanation:
What is 0.0000128 as a fraction?
To write 0.0000128 as a fraction you have to write 0.0000128 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.0000128 = 0.0000128/1 = 0.000128/10 = 0.00128/100 = 0.0128/1000 = 0.128/10000 = 1.28/100000 = 12.8/1000000 = 128/10000000
And finally we have:
0.0000128 as a fraction equals 128/10000000
Answer:
128/10000000
Step-by-step explanation:
To write 0.0000128 as a fraction you have to write 0.0000128 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.0000128 = 0.0000128/1 = 0.000128/10 = 0.00128/100 = 0.0128/1000 = 0.128/10000 = 1.28/100000 = 12.8/1000000 = 128/10000000
And finally we have:
0.0000128 as a fraction equals 128/10000000
(Hope this helps can I pls have brainlist (crown)☺️)
One eight of a pizza pie is sold for 65 cent. How much will be received
Answer:
I don't know haha
Step-by-step explanation:
Salamat nalang sa points
Answer:
the whole pizza would cost $5.20
Step-by-step explanation:
1/8 = $0.65
8/8 = 1 = $5.20
0.65 × 8 = 5.2
is this what you mean??
Vector q has a magnitude of 3.5 meters and points due west. Vector r has a magnitude of 3.5 meters and points due east. Both vectors have the same terminal point, but different initial points.
Are the two vectors equivalent?
A
Yes, because the vectors have the same magnitude.
B
Yes, because the vectors the same terminal point.
C
No, because the vectors do not have the same initial point.
D
No, because the vectors do not have the same direction.
[tex]\huge\mathtt\colorbox{white}{D}[/tex]
By definition, two vectors are equal if and only if they have the same magnitude in the same direction.
[tex]\huge\underline\mathsf\colorbox{cyan}{pl go with D}[/tex]
Line j passes through the points (-5,-2)
and (5,4).
Line k passes through the point
(-3,6) and is perpendicular to line j.
Find an equation for line k.
**the answer is probably in slope intercept form.
Answer:
y = - 5/3x + 1
Step-by-step explanation:
Slope of line j = (-2-4)/(-5-5)
Slope = -6/-10 = 3/5
Slope of the perpendicular line k: -5/3
Point of line k: (-3,6)
y-intercept of line k = 6 - (-5/3)(-3) = 6 - 5 = 1
What is \frac{1.88x10^6}{2000} in scientific notation?
Answer:
Its actually 9.4 × 10²
Step-by-step explanation:
James drove to his brother’s house, which was 225 miles away. It took him 3 hours to get there. What was his average speed per hour
75
55
85
62.5
Answer:
75
225÷3=75
Step-by-step explanation:
hshshshshs
Answer:
75
Step-by-step explanation:
How many solutions does the nonlinear system of equations graphed below have?
A. One
B. Four
C. Two
D. Three
Answer:
There are three possible types of solutions for a system of nonlinear equations involving a parabola and a line.
Step-by-step explanation:
Please i need another example like this but not the same or else im gonna fail Ill also mark brailiest
10 points and a brainliest…plz answer
Answer:
Identify the numerical terms in the following expression
a) x-y+7
b)-18-5 x^2+2y^2.
Step-by-step explanation:
Finally......
Just kidding Im just here to wasting your time
Can somebody answer this?
Answer:
55
Step-by-step explanation:
20-9 = 11 then 5x11=55
28 is 40% of what number
Answer:
70 i think i dont know for sure
Step-by-step explanation:
40 x 70
__________
100
= 28
Easy? Please help me
Sarah earns $
8.50
8.50 per hour babysitting. She needs to make at least $
187
187 to buy a new bike.
Write an inequality to represent the number of hours Sarah needs to work to afford the bike.
187
h
≥
8.50
187h≥8.50
187
h
≤
8.50
187h≤8.50
8.50
h
≥
187
8.50h≥187
8.50
h
≤
187
8.50h≤187
Answer:
The answer is A
Step-by-step explanation:
Hope it helps!
How high can Ron lift a feather with his magic?
Answer: 705 cm
Step-by-step explanation:
Ron and Hermione are lifting feathers into the air with magic. Hermione can lift a feather 3,525
centimeters (cm) into the air. That is 5 times as high as Ron can lift a feather.
How high can Ron lift a feather with his magic?
Hermione = 3,525 cm
Hermione = 5 × Ron
Substitute Hermione = 3,525 cm into
Hermione = 5 × Ron
3,525 = 5 × Ron
Ron = 3,525 / 5
= 705
Ron = 705 cm
P(A) is the power set of A. Show that-
(i) P(AUB) = P(A) ∩ P(B) is always true, but
(ii) P(AUB) = P(A) U P(B) may not be always true.
[tex]\large\underline{\sf{Solution-}}[/tex]
Let assume that,
[tex]\rm \longmapsto\:A \: = \:\{x\} \: [/tex]
and
[tex]\rm \longmapsto\:B \: = \:\{y\} \: [/tex]
[tex]\rm\implies \:A \: \cap \: B = \phi [/tex]
and
[tex]\rm \longmapsto\:A\cup B = \{x, \: y\}[/tex]
We know,
Power set of a set A is defined as set of subsets of A.
So,
[tex]\rm \longmapsto\:P(A) = \{ \phi ,\: x\}[/tex]
and
[tex]\rm \longmapsto\:P(B) = \{ \phi ,\: y\}[/tex]
and
[tex]\rm\implies \:P(A \: \cap \: B) =\{ \phi \}[/tex]
and
[tex]\rm \longmapsto\:P(A\cup B) = \{\phi ,x,y,xy\}[/tex]
Now, Consider
[tex]\rm \longmapsto\:P(A)\cup P(B) = \{\phi ,x,y\}[/tex]
and
[tex]\rm \longmapsto\:P(A\cup B) = \{\phi ,x,y,xy\}[/tex]
[tex]\rm\implies \:\boxed{\tt{ \: P(A)\cup P(B) \: \ne \: P(A\cup B) \: }} \\ [/tex]
Now, Consider
[tex]\rm \longmapsto\:P(A\cap B) = \{\phi \}[/tex]
and
[tex]\rm \longmapsto\:P(A) \: \cap \: P( B) = \{\phi \}[/tex]
[tex]\rm\implies \:\boxed{\tt{ \: P(A)\cap P(B) \: = \: P(A\cap B) \: }} \\ [/tex]
guy pls help me!!!!!
Answer:
Straight line is 180 degrees
Subtract what you know 180-55-90 = 35
(6r-7)=35
35-7=28
28/6=4.66666
r=4.6666
Answer:
7
Step-by-step explanation:
90(right angle) + 55(Acute angle) = 145.
We know the whole angle equals 180 because it is 2 right angles. 90 + 90.
So, we will do 180 - 145 = 35.
Now we know our mystery angle equals 35.
To figure out r, we will do 35 + 7 = 42.
Then, 42 is divided by 6 and gets 7.
Therefore, 7 would be your answer.
-kiniwih426
Write the quadratic equation the has the roots (-1-√2)/3 and (-1+√2)/3 if its coefficient with x^2 is equal to...1
Step-by-step explanation:
x1+x2 = (-1-√2)/3 + (-1+√2)/3
= -2/3
(x1) (x2) = (-1-√2)/3 × (-1+√2)/3
= -1/9
the equation :
x² -(-2/3)x + (-1/9) = 0
x² + ⅔ x - 1/9 = 0
What is 1.07 + 42.5 HELP PLSSSSSSSSSSSS
Answer:
43.57
Step-by-step explanation:
Line up the decimal points.
Add a 0 for 1.07 so the numbers have the same length.
01 . 0 7
42. 5 0
-------------
43.57
Answer:
1.07+42.5
=1.07+42.5
=43.57
Step-by-step explanation:
Add the numbers
Make 42.5 equal to 42.50 for better understanding when calculating