Answer:
x = (-1±i√3)/2
Step-by-step explanation:
y = -2x² + 9x - 4
x = (-b±√(b²-4ac))/2a
x = (2±√((-2)²-4(-1)(-4))/2(-2)
x = (2±√(4-16))/-4
x = (2±√-12)/-4
√-12 = √12 x √-1
√12 = √4√3
2i√3
x = (-1±i√3)/2
C (-1,-7), A (1,4), T (5, 1). What kind of triangle is CAT? Calculate the area and the perimeter of CAT.
A) Right Angle Triangle
B) 25 units²
C) (15 + 5√5) units
Figure Their Length:[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Distance between C and A
[tex]\rightarrow \sf CA = \sqrt{(1 - (-1))^2 + (4 - (-7))^2} \ = \ 5\sqrt{5}[/tex]
Distance between C and T
[tex]\rightarrow \sf CT = \sqrt{(-1-5)^2+(-7-1)^2} \ = \ 10[/tex]
Distance between A and T
[tex]\rightarrow \sf AT = \sqrt{(1-5)^2 +(4-1)^2} \ = \ 5[/tex]
Part A:
When drawn on graph, we can identify it is a right angle triangle.
Or use Pythagoras Theorem:
10² + 5² = (5√5)²
125 = 125... Hence it is a right angle triangle confirmed.
Part B:
Area of triangle = ½ × base × height = ½ × 10 × 5 = 25 units²
Part C:
Total Sum or measure of all sides: 5 + 10 + 5√5 = 15 + 5√5 units
Translate the problem into a mathematical sentence, using c as your variable
name. Do not use spaces in your answer.
Tom bought 13 CDs in December. Of those, 5 were jazz, the rest were
classical music. How many classical music discs did he buy?
Answer here
SUBMIT
c=8
Step-by-step explanation:
13-5=c, c=8
Can I get some help with this?
In AVWX, v = 64 cm, w = 18 cm and x=63
cm. Find the measure of ZW to the
nearest degree.
Answer:
The answer is 1230cm square
You invest $2,800 in an account that
pays an interest rate of 5.5%,
compounded continuously. Calculate the balance of your account after 12 years
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2800\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ t=years\dotfill &12 \end{cases} \\\\\\ A=2800e^{0.055\cdot 12}\implies A=2800e^{0.66}\implies A\approx 5417.42[/tex]
Write the coordinates of the vertices after a rotation 270° counterclockwise around the origin.
Answer:
When rotating a rectangle 270° counter clockwise, you change the vertices in this way: (x,y) ---> (y,-x).
In other words, the "x" and "y" values switch, and the "x" becomes negative. If the "x" value is already negative, it becomes positive.
E' = (-8,6) ----> (6,8)
F' = (-8, 10) ----> (10,8)
G' = (-3, 10) ----> (10,3)
H' = (-3, 6) ----> (6,3)
Which of the functions below indicates a graph that has been vertically shifted by 3 units?
O y = = 3 log (2)
Oy log (3x)
Оy log (x + 3)
Оy= log (x) + 3
The function which represents a graph which has been vertically shifted by 3 units is; y= log (x) + 3.
Which function has been shifted by 3 units?It follows from the task content that the graph which has been shifted vertically is to be identified.
For a vertical shift, it means that the y value of such graphs must have increased or decreased. This is However, evident in the equation y= log (x) + 3 and hence, is the solution.
Read more on function shift;
https://brainly.com/question/23919891
Grade geo
Practice 7.3
Answer:
Nice to hear that, congrats with practice 7.3
Answer:
WHAT ARE WE SUPPOSE TO ANSWER...?
Someone please check my work 1-4 please, correct my answers if they are incorrect. Thank you.
What is the definition of a chronological structure?
A. Describes events in order they occurred or gives ordered instructions
B. Shows relationship between events, explains how one thing happens as a result of another
C. Describes a topic, idea, person, place or thing
D. Describes a problem as well as its causes and suggests solutions
Answer:
The arrangements of things following one after another in time
a fan does 65 rotations in 52 seconds how long does it take to do 200 rotations
Answer: 160 seconds
Step-by-step explanation:
First let us find the number of seconds per rotation
52 second/65 rotations
52/65
0.8 seconds/1 rotation
0.8 seconds per rotation
Now let us multiply 0.8 by 200 to get our answer
0.8 * 200
160
It takes 160 seconds to do 200 rotations
Answer:
160 seconds
Step-by-step explanation:
We have 65 rotations in 52 seconds, let's represent it like this:
[tex]\frac{52 seconds}{65 rotations}[/tex]
Now, let's multiply this by 200 rotations, and cancel out the rotations on the bottom:
[tex]\frac{52 seconds}{65 rotations} * 200 rotations[/tex]
See how there is rotations on both the top and bottom? This cancels both of them and leaves seconds!
Multiply the above equation and we get:
160 seconds or 2 minutes 40 seconds.
Hope this helps! Good luck and if you have questions please leave them in the comments!
QUICKKK!! PLEASE
The probability of picking the winning 4-digit number in a Pick 4 lottery is 1/10000.
(a) Explain what this probability means.
(b) If 10000 people play the Pick 4 lottery, will exactly 1 person win the lottery? Explain.
(c) The winning number in a Pick 4 lottery was 1234 two days in a row. What is the likelihood o
this number occurring on the next drawing? Explain
A probability of 1/10000 means that only one person can get the Pick 4 lottery among 10000 pickers.
What is probability?The term probability has to do with the chance that an event will occur or not. Usually probability is expressed as a fraction.
The meaning of the saying that the probability of picking the winning 4-digit number in a Pick 4 lottery is 1/10000 is that only one person can get the Pick 4 lottery among 10000 pickers.
Learn more about probability:https://brainly.com/question/8058700
#SPJ1
phone 35% off
now only £78
how much was the phone before the discount price
Answer:
€ 120Step-by-step explanation:
full price of the phone in terms of percentage
= 100%
percentage discount = (100-35)% = 65%
let the price of the phone before discount= X
therefore,
65%-----------78
100%----------X
cross multiplying
65×X = 100×78
dividing bothsides by X
X = 100×78/65
X = 7800/65
X = 120
price of the phone before discount=€120
please answer this question I need to get it right :(
Answer: E ; (0,12) , (9,0)
Explanation: To find coordinates by a scale factor is by multiplying.
What we need to do is to multiply the coordinate points by the scale factor.
Find A' is use A 's coordinate. A 's coordinates are (0,4)
3 x 0 = 0
3 x 4 = 12
A' coordinates are : (0,12)
Using the same technique with C'.
3 x 3 = 9
3 x 0 = 0
C' coordinates are : (9,0)
Question 6 (Essay Worth 6 points)
(06.03)
4(2x + 3) + 5y
From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not presen
write "not present."
Answer:
A term is a single number or variable, in this case, the number 2.
The sum in this equation would be 4x + 2.
The product is the result of multiplication, in this equation, the result of 5(4x + 2).
The factors are the digits that are being multiplied, in this case, 5 & 4x + 2
The quotient is the result of a division, in this case, the result of (4x + 2) / 7y.
A coefficient is a number that is being multiplied by a variable, in this case, 4 & y.
Which shows the equation of the line containing the point (–2, 6) and having a slope of 3 in slope-intercept form?
3y = x + 20
y=3x−20
y = 3x + 12
y=−32x+3
Answer:
y=3x+12
Step-by-step explanation:
Use this formula: y-y1=m(x-x1)
(y-Your y point=slope(x-Your x point)
Point= (-2, 6), Slope= 3
(Anything negative, you add. Anything positive, you subtract.)
Plug in your values: y-6=3(x+2)
distribute: y-6=3x+6
Add six to both sides of the equation:y-6(+6)=3x+6(+6)
We get our answer: y=3x+12
Hope this helps!! :)
The ratio of boys to girls in a class is
3:4. If there are 28 students
altogether in the class, how many of
them are girls?
Answer:
16 girls.
Step-by-step explanation:
Ignoring for a second the strict gender binary here, let's break down what this problem is telling us. A ratio of 3 boys to 4 girls means that for every 3 + 4 = 7 students, 3 are boys and 4 are girls. A class of 28 students is 4 times bigger than 7, so we can multiply each number in the ratio by 4 to get the count for this larger class. Doing that math, we find 3 · 4 = 12 boys and 4 · 4 = 16 girls.
PLS HELP ME ASAP !!!
The probability that she picks a blue marble three times in a row is 1/125.
Given that
Samantha has a bag of 5 different colored marbles.
She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.
We have to determine
What is the probability that she picks a blue marble three times in a row?
According to the question
Samantha has a bag of 5 different colored marbles.
She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.
The probability of picking a bag one time is,
Number of bag pack at a time
Total number of bag
=1/5
The probability of picking a bag second time is,
Number of bag pack at a time Total number of bag
=1/5
The probability of picking a bag third time is,
Number of bag pack at a time
Total number of bag
=1/5
031%
Therefore,
The probability that she picks a blue marble three times in a row is,
= 1/5 X 1/5 X 1/5
1 /125
Hence, the probability that she picks a blue marble three times in a row is 1/125.
To know more about Probability click the link given below.
https://brainly.com/question/11441437
Step-by-step explanation:
hope this helps
Ethan bought some bags of marbles. The number of bags he bought was 11 less than the number of marbles in each bag. Ethan bought 26 marbles in all. How many marbles were in each bag?
Answer:
13?
Step-by-step explanation:
idrk best guess. 26 divided by 2= 13. 11-13 + 2
Hi! Emergency. Please answer! I'll mark brainilest. :)))
A triangle has sides of lengths a=37, b=39, c=63 ft.
Find the measures of the 3 angles
Enter your answer as a number; answer should be accurate to 2 decimal places.
Angle A =
°
Angle B =
°
Angle C =
°
Answer:
angle A: 33.005
Angle B: 35.04
Angel C: 111.955
Step-by-step explanation:
look at attached image for more info
Hope it helps! Have a wonderful day
PLEASE HELP
Which function, g or h, is the inverse function for function f?
Answer: The function h because the graphs of f and h are symmetrical about the line y=x.
i need help with this
what is the circumference and area of 17 diameter
Answer:
circumference: 17 x 2 = 34
Area: 3.14 x 8.5^2 = 226.865
Answer:
circumfrence: ≈53.40708 area:≈226.98007
Step-by-step explanation:
For area, the formula is A=πr^2, so first divide the diameter (17) by 2 to get the radius which is 8.5
square 8.5 and then multiply by pi
plug everything in to get ≈226.98007
For circumfrence the formula is πd, so multiply 17 by pi
plug everything in to get ≈53.40708
Ellen wrote 18 checks in May. The first five checks had no fee.
The bank charged $0.25 for the remaining checks written that
month. The monthly service charge on the account is $5.
What is the total amount of fees Ellen paid in May on her
checking account?
Find the equation of the line of the given properties: Slope = 0 and passes through (-4,5).
Pls help me
Answer:
y = 5
Step-by-step explanation:
An equation can be written in two forms: point-slope form or slope-intercept form.
When you write an equation in point-slope form, you only need two things: a point and a slope.
Given:
point: (-4, 5)slope (m): 0The standard point-slope equation is
y - y₁ = m(x - x₁)
Plug in what you know.
y - (5) = 0(x - (-4))
Simplify.
y - 5 = 0(x + 4)
y - 5 = 0
y = 5
This is your equation.
Let's now represent this in slope-intercept form.
The standard equation is
y = mx + b
Plug in what you know.
5 = 0(-4) + b
Simplify.
5 = 0 + b
5 = b
Therefore,
y = 0x + 5 or y = 5
Hope this helps!
Learn with another example:
brainly.com/question/24436844
Which of the following sets does not contain any irrational numbers?
PICTURE OF SETS SHOWN BELOW.
Thank you so much
A company is going to make a storage container with sheet steel walls. The container will be in the shape of a rectangular prism, as shown below. If the sheet
steel costs $25 for each square meter, how much will the sheet steel cost in total?
6 m
3 m
5 m
Answer:
$42.78
Step-by-step explanation:
explanation is on the picture
Evaluate 3 x 2/7 give your answer as a fraction
[tex]\huge{\underline{\mathtt{\red {A}\pink{N}\green{S}\blue{W}\purple {E}\orange{R}}}}[/tex]
[tex] \huge\frac{6}{7} [/tex]
step by step Explanation :
= 3 × [tex] \huge\frac{2}{7} [/tex]
We have to just multiply 3 with numerator which is 2 and product will be 6 .= [tex] \huge\frac{6}{7} [/tex]
hope it helps you
Answer:
6/7
Step-by-step explanation:
You multiply 3 by the numerator of the fraction
3 multiplied by 2 is 6
Your answer is 6/7
I need of helppp please
Answer:
6
Step-by-step explanation:
The sides are in proportion.
[tex]\frac{BC}{QR}= \frac{AB}{PQ}[/tex]?/18 = 2/6?/18 = 1/3? = 18/3? = 6In Chemistry class, Samantha finds that she can make a certain solution by mixing 0.04 liters of chemical A with 0.02 liters of water (this gives her 0.06 liters of the solution). She wants to make a total of 0.48 liters of this new solution. To do so, how many liters of water will she use?
Answer:
0.16 liters of water
Step-by-step explanation:
Samantha's recipe makes 0.06 liters of solution. She wants 0.48 liters of solution, an amount 0.48/0.06 = 8 times as great as made by one recipe.
The recipe calls for 0.02 liters of water. To make 8 times the amount of solution, Samantha will use 8 times as much water: 0.16 liters.
Samantha will use 0.16 liters of water to make 0.48 liters of solution.
__
Alternate solution
The fraction of solution that is water is (0.02 L)/(0.06 L) = 1/3. For 0.48 L of solution, the water needed is 1/3×0.48 L = 0.16 liters.
Answer:
0.16L
Step-by-step explanation: