Answer:
y = x-7
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
2y -2x = -14
Add 2x to each side
2y-2x+2x= 2x-14
2y = 2x-14
Divide by 2
2y/2 = 2x/2 -14/2
y = x-7
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]
¿Cuál es el perímetro de un rectángulo, si su diagonal mide 37 m y el ancho mide 12 m ?
Answer:
94 m
Step-by-step explanation:
Sea L definido como
L = la longitud del rectángulo, en unidades de metros.
Así, según el Teorema de Pitágoras, tenemos que
12 ^ 2 + L ^ 2 = 37 ^ 2
L ^ 2 = 37 ^ 2-12 ^ 2
L ^ 2 = (37 - 12) (37 + 12)
L ^ 2 = 25 * 49, de modo que
L = 5 * 7 = 35.
Por lo tanto, el perímetro = 2L + 2W = 2 (L + W) = 2 (35 + 12) = 2 (47) = 94 m
Describe the translation of the point to its image. (-2,-3) to (-2,4)
Up 8 Units, Hope this helps :)
what is 26 divide 7,124
Answer:
1/274
Step-by-step explanation:
Solution 1: Use a fraction simplifier calculator :)
Solution 2: divide by 2 first, then test to find 13, and your there.
Answer: There are two answers ( just for explanation ) 1. 0.0036496350364964 2. 274
Step-by-step explanation:
1. If we do 26 divided by 7124 answer is = 0.0036496350364964 ( check the pic-div1, div2, div3 )
2. If we do 7124 divided by 26 answer is = 274 (check pics-div4, div5)
HELP PLSSS THIS IS HARD SOMEONEEE
Answer:
correct option is f(x,y) -----> ( -y,x) option 1.
Answer:
correct option is f(x,y) -----> ( -y,x) option 1.
Step-by-step explanation:
What are the values of v and w ?
can someone please help me i need help
Answer:
None
Step-by-step explanation:
It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0
HELP HELP HELP HELP HELP HELP
long explanation long please
__________
[tex] \: [/tex]
[tex] \frac{x + 2}{x - 1} = ...[/tex]
[tex] \longmapsto \frac{ \cancel{x} + 2}{ \cancel{x} - 1} [/tex]
[tex] \longmapsto \frac{2}{ - 1} [/tex]
[tex] \longmapsto \boxed{ \bold{ \red{ - 2}}}[/tex]
Please help! GEOMETRY! Branliest!
Answer:
None
Step-by-step explanation:
It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0
Answer:
The smallest degree is15°
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!
What is the missing number in this sequence? What is the missing number in this sequence?
(7, 8) (19, 27) (37, 64) (61, 125) (91, 216) (___, 343)
Answer:
15_789(0)
Step-by-step explanation:
Tom makes $249.25 in 5 days. How much does he make in 4 days?
Answer:
$199.4 in four days
$49.85 in one day
Step-by-step explanation:
249.25 / 5 =49.85
49.85 x 4 = 199.4
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The amount that Tom makes in 4 days is $199.4.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Tom makes $249.25 in 5 days. Therefore, the amount that Tom makes in a day is,
Amount Tom makes in a day = $249.25 / 5 days
= $49.85 per day
The amount of money that Tom can make in 4 days is,
Amount = $49.85 per day × 4 days
= $199.4
Hence, the amount that Tom makes in 4 days is $199.4.
Learn more about Multiplication here:
https://brainly.com/question/14059007
#SPJ2
math can you please help me?
Answer:
The answer will be -5
You are welcome:)
Step-by-step explanation:
PLEASE ANSWER IN POINT SLOPE FORM
Answer:
y-4 =-5(x+1)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y-4 = -5(x- -1)
y-4 =-5(x+1)
Answer:
y-4 = -5 (x- (-1))
Step-by-step explanation:
blank 1 = -4
blank 2 = -5
blank 3 = -1
16x2 – 8x = ?
Choose 1 answer:
8(2x - 1)
B
8x(2x – 1)
8x (2x2 – 2)
8(2x2 – 2)
Answer:
8(2x-1)
Step-by-step explanation:
is -4/5 or is-8/9 bigger
Answer:
-4/5 will be bigger.
Step-by-step explanation:
This is true as -4/5 is equal to -.8 compared to -.888888888.
In ΔBCD, \text{m}\angle B = (5x+14)^{\circ}m∠B=(5x+14)
∘
, \text{m}\angle C = (x+19)^{\circ}m∠C=(x+19)
∘
, and \text{m}\angle D = (2x+19)^{\circ}m∠D=(2x+19)
∘
. What is the value of x?x?
Answer:
x = 16
Step-by-step explanation:
m<B+m<C+m<D = 180°
5x + 14 + x + 19 + 2x + 19 = 180
8x + 52 = 180
8x = 180 - 52
x = 128/8
x = 16
Ryan has 15 meters of stereo wire He used 7/8 of the wire to hook his new speakers. How much wire did he use?
Answer:
13.125 meters
Step-by-step explanation:
7/8 times 15
Which point is the vertex?
C
B
A
None of the above
Hansen thinks his pet goldfish, Finn, might be lonely. So, Hansen buys another goldfish to keep Finn company. He also buys a large 10-gallon tank so the two fish can swim together. If Finn currently lives in a 2-quart fish bowl, how many times bigger is his new tank than his old bowl?
Answer:
Well, 1 gallon is 4 quarts so if Finn lives in a ½ Gallon tank divide 10 by 0.5 and you get 20, so his new tank is 20 times bigger than his old bowl.
Step-by-step explanation:
Math rocks! Have fun!
I need help on this question please help
Answer:
on day 6
Step-by-step explanation:
you would multiply
At 1 p.m., there were 257 visitors in the museum.
Use function notation to represent this statement:
At 1 p.m., there were 257 visitors in the museum.
Answer: V(4)=257
Explanation: It says that the Museum opens at 9 so it would be 4 hours. And the 257 is the number of visitors at that time.
Write 19/25 in decimal form.
0.76 19 divided by 27= 0.76
Ben has 69 planks that are of standard size. He would need 5 such planks to make a bookshelf. Find the maximum number of bookshelves Ben can make.
Answer:
13
Step-by-step explanation:
69/5=13 remainder 4
u cant make a bookshelf with 4 planks
Answer:
13
Step-by-step explanation:
69 total planks divided by 5 for each bookshelf.
That would be 69÷5=13.8
Seeing as you can't make .8 of a shelf, those planks would just be extra.
Find the value of x so that | || m. State the converse used
Ski rental is $45 for 3 hours and $10 for each additional hour. You pay $75. How many additional hours did you pay
Answer:3
Step-by-step explanation:Its really easy?
determine the value of x.
No links please!
Answer:
44.785
Step-by-step explanation:
HELP PLEASE!!!!!!!!!
9514 1404 393
Answer:
A) W'(-4, 2), ...
Step-by-step explanation:
Put the values of x and y in the translation relation to see what the translated point's coordinates are.
(x, y) ⇒ (x -7, y +4)
W(3, -2) ⇒ W'(3 -7, -2 +4) = W'(-4, 2) . . . . . . . . matches only choice A
Jaylo bought a television priced at $349. She received a 20% discount and paid a 7% sales tax. What is the total price of the television? A. $74.69 B. $298.74 C. $348.87 D. $448.12
Answer:
B
Step-by-step explanation:
349 ---100%
x ------ 20%
x= (349×20)÷100
x=69.8
349-69.8=279.2
279.2 ---100%
x-----7%
x=(279.2×7)÷100
x=19.54
Final result
279.2+19.54=298.74
And final result is B
The total price of the television is B. $297.74
Given that,
Jaylo bought a television priced at $349. She received a 20% discount and paid a 7% sales tax.Based on the above information, the calculation is as follows:
[tex]= (\$349 \times (1- 0.20) + \$349 \times (1- 0.20) \times 0.07)\\\\= \$279.20 + \$19.544[/tex]
= $297.74
Learn more: brainly.com/question/17429689
[tex]\sf x-5=16[/tex]
Answer:
x=21
Step-by-step explanation:
[tex]x-5=16[/tex]
[tex]x-5+5=16+5[/tex] (Add 5 to bth sides)
[tex]x=21[/tex]