Answers:
a = 1
b = 14
c = 65
===========================================================
Explanation:
Let's focus on the root x = -7+4i
Add 7 to both sides, then square both sides. Then get everything to one side so 0 is on the other side.
x = -7+4i
x+7 = 4i
(x+7)^2 = (4i)^2
(x+7)^2 = 16i^2
(x+7)^2 = 16(-1)
(x+7)^2 = -16
(x+7)^2+16 = 0
If you were to follow those steps for the other root -7-4i, then you should get the same result. Solving (x+7)^2+16 = 0 leads to the two complex roots -7+4i and -7-4i.
Expand out that expression to get it into standard form
(x+7)^2+16
(x+7)(x+7)+16
x^2+7x+7x+49+16
x^2+14x+65
The equation is now in y = ax^2+bx+c form
a = 1
b = 14
c = 65
If you were to plug those a,b,c values into the quadratic formula, you'll find that it leads to the two given roots -7+4i and -7-4i.
Can someone help me solve this question
Answer:
Step-by-step explanation:
Choosing a white pen from box a
Multiply. Enter your answer as a simplified mixed number. -4(3/14)
Answer:
-53 /14
Step-by-step explanation:
write 9^3 x 27^2 as a single power of 3
Answer:
3^12
Step-by-step explanation:
9³=(3²)³=3^6
27²=(3³)²=3^6
So together, it is 3^12
Answer:
3^12
Step-by-step explanation:
9^3 x 27^2
Rewrite 9 as 3^2 and 27 as 3^3
3^2^3 * 3^3^2
We know that a^b^c = a^(b*c)
3^(2*3) * 3^(3*2)
3^6 * 3^6
We know that a^b * a^c = a^(b+c)
3^(6+6)
3^12
geometry PLEASE HELP and explain how???
Answer:
x means times
Step-by-step explanation:
simply 5(x-y)+2(x+y)
Answer:
5x-5y+2x+2y
7x-3y
That's it
WILL REWARD BRAINLIEST!!! plz :,) this is my last question:(( 50 POINTS!!!! Hellppp me with this!!!! Click to view whole pics!!! If you can view it it basically says : You are making several purchases from the B-Better Electronics store. You can buy from this store online or in a physical store. You have a coupon for 20% off that can only be used in the physical store and a $20.00 off coupon that can only be used online. The sales tax of 7.5% only applies to the physical store.
Shipping for the online store is a flat rate of $8.99 or free for purchases over $75.00. Using the information below, which way of purchasing would save you the most money?
B-better electrics store:
Headphones. 1 pair. 14.99/e
DVDs 4dvds 13.95/e
CDs. 2cds. 9.85/e
————————————————-
Online store:
Headphones 1 pair. 13.50/e
DVDs. 4dvds 14.99/e
CDs. 2cds. 10.99/e
————————————————-
Answer:
77.82 $ will be paid at physical Store
Step-by-step explanation:
Item Quantity Physical Store Online Store
Headphones 1 pair $14.99/ea $13.50/ea
DVDs 4 DVDs $13.95/ea $14.99/ea
CDs 2 CDs $9.85/ea $10.99/ea
Cost Price = 14.99 + 4 * 13.95 + 2 * 9.85
= 90.49 $
20% off Coupon = (20/100)90.49 = 18.1 $
Amount after Coupon = 72.39 $
7.5% sales Tax = (7.5/100)72.39 = 5.43$
Amount with Tax = 72.39 + 5.43 = 77.82 $
77.82 $ will be paid at physical Store
Answer:
Step-by-step explanation:
i want points thanks
Need some help if u don’t mind :)
A)94
C)82
C)76
Answer:
82
Step By Step Explanation:
I would have choose 86 but there is no 86 since 82 is closer I choose it.
A full angle equals 180 so 180-94=86.
Hopes This Helps
divide x² +x +1 by x+ 1 by long division method
Answer:
I hope it will help you.
Why is the slope the same on a line when different points are used to identify the slope?
Different points can be used to identify the slope as follows -
We have a straight line.
We have to investigate why is the slope same on a line when different points are used to identify the slope.
What is Slope of a Line ?The slope of a line is denoted by m and is defined as the change in y coordinate with respect to the change in x coordinate.
According to question -
Different points can be used to identify the slope provided that they all lie on the same straight line. Line is a collection of points and these set of points can be used top determine the rate of change of y with respect to x. The slope of a line can also be found out using y - intercept of the line using the general equation of straight line -
y = mx + c.
Hence, the slope is same on a line provided that they all lie on the same straight line
To solve more questions on Slope of lines, visit the link below -
https://brainly.com/question/10623813
#SPJ2
Match the sentences below to the correct vocabulary word.
rational number
1. A decimal that ends in zero is a —
2. 0.7 is a __
terminating decimal
3. Ifx is not a rational number, it must be a(n) —
repeating decimal
irrational number
4. x is a terminating decimal, so it must also be a
Answer:
1) terminating decimal
2) 0.7 is a terminating decimal
3) a non-terminating, non-repeating decimal
4) a rational number
Step-by-step explanation:
Solve the inequality.
D
— < -4
-5
What do I need to know?
I need help on this question please
Answer:
i cant see the Q
Step-by-step explanation:
In the sequence
1,2,2,4,8,32,256,...
each term (starting from the third term) is the product of the two terms before it. For example, the seventh term is 256, which is the product of the fifth term (8) and the sixth term (32).
This sequence can be continued forever, though the numbers very quickly grow enormous! (For example, the 14th term is close to some estimates of the number of particles in the observable universe.)
What is the last digit of the 35th term of the sequence?
Answer: 8
Step-by-step explanation:
Sequence: 1,2,2,4,8,32,256
After the first digit, the repeated pattern for the last digit is 2,2,4,8,2,6
So, the 35 term's final digit will be 8
Solve, 7x-5y=20
-8x-3y=12
Answer:
x=0 y=-4
Step-by-step explanation:
What is the final amount if 700 is increased by 4% followed by a further 3% increase?
Answer:
Answer: 749.84
Step-by-step explanation:
• For 4% increment
[tex] = { \rm{ \frac{(100 + 4)}{100} \times 700 }} \\ \\ = { \rm{ \frac{104}{100} \times 700}} \\ \\ = { \rm{728}}[/tex]
• For the 3% increment
[tex] = { \rm{ \frac{(100 + 3)}{100} \times 728}} \\ \\ = { \rm{ \frac{103}{100} \times 728 }} \\ \\ = { \rm{749.84}}[/tex]
Use the graph to find the value of y = sin q for the value of q.
360°
1
90
180
270
1360
e
+
0.2
c.
b. 0
a.
0.4
d. 0.6
Graphs are used to represent functions, and vice versa
The value of y for q = 360 degrees is 0
The sine equation is given as:
[tex]y = \sin(q)[/tex]
When q= 360 degrees, the sine equation becomes
[tex]y = \sin(360)[/tex]
At q= 360, the graph crosses the x-axis.
i.e. the value of the graph is 0.
So, the sine equation becomes
[tex]y = 0[/tex]
Hence, the value of y for q = 360 degrees is 0
Read more about sine equations at:
https://brainly.com/question/3522842
y=−2x+7
y=5x−7
x=
y=
Answer:
x = 2
y = 3
Explanation:
Solve the following quadratic equation for all values of x in simplest form.
2(5x + 9)2 + 10 = 28
Step-by-step explanation:
x = 2/5 or x = 0 Hope that will help
Translate the sentence into an equation
Five less than the product of 3 and a number equals 7
Use the variable b for the unknown number
Answer:
5-3x=7
Step-by-step explanation:
All you need is on the photo
Please don't answer randomly if you answer randomly you are gonna lose points
Answer:
no since the ratios of the corresponding sides are not proportional
y varies directly as x . when x=3 , then y=12 . find y when x=20.
Answer:
Congress. would equal 80 due to x being worth 1/4 of y's total.
Can someone pls help like plss
Answer:
-32r+3
Step-by-step explanation:
You have to combine -9r+2r-5r-20r, orrrr…
you can remove the variables and solve:
[tex]-9+2-5-20=\\ -32[/tex]
then add the variable back,
[tex]-32r[/tex]
since the +3 has no variable, you can’t add it to -32r
so…
you have to add it to the equation as a separate term:
[tex]-32r+3[/tex]
hope this helps!
Find the slope-intercept form of the line that satisfies the given conditions.
Through A(−7, 5) and B(6, 11)
Answer:
[tex]y=\frac{6}{13}x+\frac{107}{13}[/tex]
Step-by-step explanation:
(x1, y1) = (-7, 5)
(x2, y2) = (6, 11)
The firs thing to do is fine the slope. That is the distance between the y-coordinates divided by the distance between the x-coordinates:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
I marked the points above as points 1 and 2, so you can plug those numbers into the formula:
[tex]m=\frac{11-5}{6--7}\\\\m=\frac{6}{13}[/tex]
That fraction can't be simplified any further, so the slope of this line is 6/13. The next thing to do is to find the y-intercept.
[tex]y=mx+b[/tex]
Plug the slope and any point of your choice into the equation. I'll use point b:
[tex]11=(\frac{6}{13})6+b[/tex]
Now, solve for b:
[tex]11=\frac{36}{13}+b\\\\11-\frac{36}{13}=b\\\\\frac{143}{13}-\frac{36}{13}=b\\\\\frac{107}{13}=b\\\\b=\frac{107}{13}[/tex]
They're far from clean, but those are the correct slope and y-intercept. Using those, the equation for this line is:
[tex]y=\frac{6}{13}x+\frac{107}{13}[/tex]
You can confirm that this is the correct equation by checking it with one of the points. Plug in one of the known values of x and make sure it gives the correct value of y:
[tex]y=\frac{6}{13}(-7)+\frac{107}{13}\\\\y=\frac{-42}{13}+\frac{107}{13}\\\\y=\frac{65}{13}\\\\y=5[/tex]
That works out.
PLS HELP ILL MArk BRAINLIEST!!
960 cubic ft
Step-by-step explanation:
I'm just super smart looool
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
x + 2y = -16
Answer:
y = -1/2x - 8
Step-by-step explanation:
You are looking for the equation in the form of y=mx + b, so you need y on the left hand side without x. Subtract x from both sides.
2y = -x - 16
Now you want 1y instead of 2y. So divide everything by 2.
y = -1/2x - 8
How to graph a linear function from slope-intercept form
Answer:
Use the coefficient of x as the slope and constant as the y-intercept
Step-by-step explanation:
Start by going to your graph and plotting your y-intercept. For example, if the y- intercept is -2, plot the point (0, -2). Then from there, you need to plot the slope (let's pretend that the slope is 2/3). From the intercept, you will go up two and right one. Then starting from that point, continue using the rise over run to plot your points and then draw your line.
The area of a triangle is 40 square inches.
The base of the triangle is x + 1,
and the height is x - 1.
Find the value of x, and the dimensions of the triangle.
A = 1/2bh
Answer:
+9 and -9
Step-by-step explanation:
If I have a discriminate value of -3, how many solutions and what type will I have?
Answer:
0
Step-by-step explanation:
If b^2 - 4ac is less than 0, it will not have any real roots/solutions so you would not get any solutions in this case.
Find all the numbers for each shape
Answer:
1 = pentagon2 = diamond3 = square5 = circle6 = rectangle7 = oval8 = triangle9 = hexagon10 = trapezoidStep-by-step explanation:
Each half of a hanger divides the total weight in half. The right-most vertical has a total weight of 80/16 = 5. It consists of a square and a diamond, and we know the square is 1 more than the diamond. That means 2 diamonds weigh 5 -1 = 4. A diamond weighs 2, and a square weighs 3. The other half of that balance is a circle, which weighs 5.
The total of a square and oval is 10, so the oval is 10 -3 = 7. The two trapezoids weigh 20, so each is 10.
The second vertical from the left is a circle and diamond which will weigh 5+2 = 7. That makes the sum of a pentagon and rectangle also be 7. The 7+7 = 14 below the square on the left branch makes the total of that branch be 14+3 = 17, which is also the sum of the triangle and hexagon.
The weight below the rectangle at top left is 17+17 = 34, and the weight of that entire branch is 40. Thus the rectangle is 40-34 = 6, which makes the pentagon 7-6 = 1.
We require the sum of the triangle and hexagon be 17, with the triangle being the smaller value, and both being 9 or less (the trapezoid is the only figure weighing more than 9). Hence the triangle is 8 and the hexagon is 9.
The weights are summarized in the answer section, above.
Help plsss I REALLY need help!
Answer:
6x^2√x
Step-by-step explanation:
6 times 6 is 36
So you can take 6 out and leave x^5
However x^5 also have a power to square by:
x^4 which can turn into x^2
So we can take x^2 out
So the answer is 6x^2√x
Hope this helps!
I think its
the bottom left i might be wrong