Answer:
y=-3/2x+1
Step-by-step explanation:
NOTE: Doing graphs by hand is a lot easier, it saves a lot more time as well.
Step 1: plot your 2 known points.
Step 2: draw a line that goes between both points
Step 3: find the distance of the points in RISE/RUN format.
-9/6. The slope is negative because the line goes down to the right.
Step 4: find your y-intercept.
1.
Step 5: simplify your equation
-9/6 = -3/2
Show that:
[tex]\bigg(\frac{ \sqrt{7} + i \sqrt{3} }{\sqrt{7} - i \sqrt{3} } + {\frac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } } \bigg) \: is \: real \\ [/tex]
Please answer this question.
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]
matt is buying jeans and sweaters for his younger brothers. each pair of jeans will cost 22.50 and each sweater will cost 12.50. if matt spends a total of $200 at the clothing store and buys 12 articles of clothing, how many pairs of jeans and how many sweaters did he buy? you must create and solve the system for points
Answer: 220
Step-by-step explanation:
A- 22.50 x 12 = 270
B- 12.50 x 12 = 150
C- 270 + 150 - 200 = 220
ANSWER- 220
May I please receive help?
Please????
Answer:
<1=23
Step-by-step explanation:
If WXZ contains both <1 and <2, and <2 is 4 times <1, then we can set this up as x + 4x = 115
This is easily simplified to 5x = 115
Divide both sides by 5 and you will get x=23
Round each number to the nearest ten 24. 311. 107
Answer:
24-20 311-310 107-110
Step-by-step explanation:
Answer:
nearest tenth
......
24= 20
311=310
107=110..........
Help please due today
Answer:
Line a. goes to table 3, line b. goes to table 2, and line c. goes to table 1.
Step-by-step explanation:
Here are the 3 lines graphed (I even labeled each for you) so you can have a bit of a visual.
Hopefully you can find the points on each graph.
(Hint: The x row represents the x coordinate of an ordered pair, and the y row represents the y coordinate of an ordered pair.)
Ordered pairs look like this btw (x,y)
Hope this helps :)
Write the equation of the line in point-slope form.
Answer:
y= 4/3x+2
Step-by-step explanation:
the y intercept is at 2 and you do rise over run for m
3/4+x=2x-x+ ?(need answer)
Answer:(x - 4)(2x + 3)
FOIL = first,outside,inside,last
F -- so multiply first terms in each set....(x)(2x)
O -- multiply outside terms in each set...(3)(x)
I -- multiply inside terms in each set....(-4)(2x)
L -- multiply last terms in each set.......(-4)(3)
Step-by-step explanation:
How do you solve for x and y. Thanks!!
Kinda urgent sorry..
Answer:
x= 17.5
y= 35
Step-by-step explanation:
Steps are in attachment.
Answer:
• For x (Acute angle property)
[tex]{ \rm{(2x + 10) \degree + 30 \degree + 6x=180 \degree}} \\ \\ { \rm{8x + 40=180}} \\ \\ { \rm{8x = 140}} \\ \\ { \boxed{ \underline{ \rm{ \: \: x =17.5 \: \: }}}}[/tex]
• For y ( Interior angle sum of triangles )
[tex]{ \rm{(y + 10) \degree + 6x \degree + 30 \degree = 180 \degree}} \\ \\ { \rm{y + 10 + 30 + (6 \times 17.5) = 180}} \\ \\ { \rm{y +145 = 180 }} \\ \\ { \boxed{ \underline{ \rm{ \: \: y = 35 \: \: }}}}[/tex]
Whose sequence proves triangle ABC is congruent to triangle DEF? Why?
Answer:
If you are doing the same assignment as me then you probably have to choose between either Chanel or Preston and if my math is correct than the right answer would be Chanel.
fill in the blank
( ___-2a)^2=9b^2-___+___
Answer:
(3b-2a)^2=9b^2-12ab+4a^2
Step-by-step explanation:
Using the formula (a-b)^2=a^2-2ab-b^2, you can plug in the values to get your answer. (Sorry I can't really explain more, it's just using the formula. Hope this helps)
Helppppppp pleaseee tyy smmm
Answer: 56
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Which type of parent function is f(x) = ?
A. Square root
B. Reciprocal
C. Quadratic
D. Cube root
SUNMIT
Answer:
Write properties of function:
x intercept/zero: x = 0
Step-by-step explanation:
Write properties of function: Write properties of function:
x intercept/zero: x = 0
Answer: Write properties of function:
x intercept/zero: x = 0
Jerry played with 3 friends today, all at different times. He played with Tommy for 1 7/8 hours, then Nathan for 1 3/4 hours, then Chris for 3/2 hours.
How many hours did Jerry play with his 3 friends today?
Answer:
4hrs 7 minutes and 30 seconds
Step-by-step explanation:
1 7/8 = (1=60) + (7/8 * 60) = 1 : 52:50 time played with Tommy 1 3/4 = (1=60 ) ( (3/4 * 60) = 1:45:00 time played with Nathan 3/2 = (3/2 *60) = 90 = 1:30:00 time played with Chris Total played with 3 friends = 1:52:50 + 1:45:00+1:30:00= 4:07:50 = 4hrs 7 minutes and 30 seconds
What are the values of each Halloween icon? (Math Logic Puzzles)
Witch hat = 5
Jack o' lantern = 2
Ghost = 7
Witch Pot = 10
7 x 5 = 35 + 5 = 40
10 x 2 = 20 + 2 = 22
7 + 10 = 17 + 10 = 27
2 x 5 = 10 + 7 = 17
7 + 7 = 14 + 5 = 19
1. 7x5+5=40
2. 10x2+2=22
3. 7+10+10=27
4. 2x5+7=17
5. 7+7+5=19
pls help don't send links
Answer:
there is not any correct answer among the options.
the answer is
[tex] \frac{ - 21}{45} [/tex]
Simplify the expression!
-7/15
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
Commutative Property
Step-by-step explanation:
Hope it helps. Please mark me brainliest if you would :D
suppose 48 out of every 120 people like baseball. of the people who like baseball 3 out of 5 play base ball if you ask 500 people how many would play baseball
Answer:
120 people would play
Step-by-step explanation:
Find the circumference of a wheel whose radius is 35cm. Find the distance covered in 60 seconds ,if it revolves 5 times per second
Answer:
hey I hope this is clear
Step-by-step explanation:
The maximum throwing speeds of pitchers on one team are shown in the table.
A 1-column table with 6 rows. Column 1 is labeled Maximum pitching speed (miles per hour) with entries 75, 60, 63, 51, 45, 48.
The mean of the data set shown in the table is 57. What is the mean absolute deviation?
6
9
9.5
12
Answer:
9
Step-by-step explanation:
The sides of a square have length s. Write a formula for the perimeter P of the square. Write a formula for the area A of the square.
Answer:
a
Step-by-step explanation:
maths help me maths giving 10 point
The number 356 is between which pair of numbers? a. 340 and 350 b. 350 and 360 c. 360 and 370 d. 370 and 380
Simplify 3a^2-a^2 pleassssewwwwwww
Answer:
2a^2
Step-by-step explanation:
If you translated the point a (4,-3) left 2 units and down 6 units where is A
what is the volume of the prism?
Answer:
Step-by-step explanation:
h = 3 ft
l*b = 25 sq.ft
Volume = l*b *h
= 25 * 3
= 75 cubic feet
Answer:
75ft
Step-by-step explanation:
First you mupilply [tex]25 x 3 = 75ft[/tex]
and that is it.
Kirsty is making a fruit drink for 9 people. How many oranges does she use?
Answer:
9
Step-by-step explanation:
Evaluate 7 10 × 4 5 Give your answer in its simplest form.
Solve the quadratic equation numerically (using tables of x- and y-values).
x2 + 9x + 18 = 0
a. x = 6 or x = 2
c. x = -6 or x = -3
b. x = 6 or x = -3
d. X = 6 or x = -1
Answer:
Third Option: [tex]x=6[/tex] or [tex]x=-3[/tex]
Step-by-step explanation:
[tex]x^2+9x+18=0[/tex]
[tex](x+6)(x+3)=0[/tex]
[tex]x=6[/tex] or [tex]x=-3[/tex]
how to solve
2(x+6)=4
x=?
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
[tex]2(x+6)=4~(Given)\\\\2x+12=4~(Distribute~2~to~x+6)\\\\2x+12-12=4-12~(Subtract~12~on~both~sides)\\\\2x=-8~(Simplify)\\\\\frac{2x}{2}=\frac{-8}{2}~(Divide~2~on~both~sides)\\\\x=-4~(Simplify)[/tex]
Answer:
[tex]\boxed {x=-4}[/tex]
Step-by-step explanation:
[tex]2(x+6)=4[/tex]
Divide both sides by 2 :
[tex]\cfrac{2\left(x+6\right)}{2}=\cfrac{4}{2}[/tex][tex]x+6=2[/tex]Subtract 6 from both sides:
[tex]x+6-6=2-6[/tex][tex]x=-4[/tex]______________________
can somebody help me with these 2 questions plz
Answer:
1) 14/3 (D)
2) -0.6 (C)
Step-by-step explanation:
1) 5-(2/3)*(2/3//4/3)
2)|-1.2-2.03|-2.03/-2