Answer:
[tex] 18x^2 - 9 x- 5=0\\
[/tex]
Step-by-step explanation:
Let x be the variable of the required quadratic equation.
[tex] \because - \frac{1}{3} \: \& \: \frac{5}{6}[/tex] are the roots of the required quadratic equation.
[tex] \therefore \bigg(x+ \frac{1}{3}\bigg ) \: \& \: \bigg(x-\frac{5}{6}\bigg) [/tex] are factors of the required quadratic equation.
[tex] \therefore \bigg(x+ \frac{1}{3}\bigg ) \bigg(x-\frac{5}{6}\bigg) = 0\\\\
x^2 +\bigg(\frac{1}{3}-\frac{5}{6}\bigg )x+ \bigg(\frac{1}{3}\bigg )\bigg(-\frac{5}{6}\bigg )=0\\\\
x^2 +\bigg(\frac{6}{18}-\frac{15}{18}\bigg )x- \frac{5}{18}=0\\\\
x^2 +\bigg(-\frac{9}{18}\bigg )x- \frac{5}{18}=0\\\\
x^2 - \frac{9}{18} x- \frac{5}{18}=0\\\\
\huge\purple {\boxed {18x^2 - 9 x- 5=0}} \\
[/tex]
is the required quadratic equation
Multiply
(2x + 4)(2x - 4)
Answer:
4x^2 -16
Step-by-step explanation:
(2x + 4)(2x - 4)
FOIL
first:2x*2x = 4x^2
outer: -4 *2x = -8x
inner: 4*2x = 8x
last: -4*4 = -16
Add them together
4x^2 -8x+8x =-16
4x^2 -16
The multiplication of the expression (2x + 4)(2x - 4) is 4x² - 16.
What is the simplified form of the expression?Given the expression in the question:
(2x + 4)(2x - 4)
We can multiply the expression (2x + 4)(2x - 4) using the distributive property and the FOIL method.
(2x + 4)(2x - 4)
Apply the FOIL method:
2x( 2x - 4 ) + 4( 2x - 4 )
Apply distributive property:
2x × 2x + 2x × - 4 + 4 × 2x 4 × - 4
Multiply the terms:
4x² - 8x + 8x - 16
Collect and add like terms:
4x² - 16
Therefore, the simplified form is 4x² - 16.
Learn more about the FOIL method here: https://brainly.com/question/27980306
#SPJ6
x=?? will give brainliest
Answer:
I think its a right angled triangle
and so x= 90°
Given the regular square pyramid with RS = 6 and PX = 4, then XY=3.
True
False
PLEASE HALP!!!!
Carlos wants to get an average of 86% in his science class. The science
teacher has given 5 tests. Carlos's scores on 4 of the tests have been 85%,
89%, 90%, and 82%. What score does Carlos need to get on the 5th test to
get a mean score of 86%?
O A) 81
OB) 84
OC) 86
OD) 92
Answer:
The answer is B
Step-by-step explanation:
Answer:
B. 84
(85+89+90+82+x)/5=86
so x=84
14) Simplify. 6(3x - 5) + 2(3x - 5) - 8(3x - 5)
Answer:
0
Step-by-step explanation:
To simplify you need to distribute then add like terms.
6(3x-5) + 2(3x-5) - 8(3x-5)
18x - 30 + 6x - 10 - 24x + 40
0x + 0
0
Answer:
6(3x - 5) + 2(3x - 5) - 8(3x - 5) = 0
Step-by-step explanation:
The expression is,
→ 6(3x - 5) + 2(3x - 5) - 8(3x - 5)
Now we have to,
→ Simplify the given expression.
Let's simplify the expression,
→ 6(3x - 5) + 2(3x - 5) - 8(3x - 5)
Applying Distributive property:
→ 6(3x) - 6(5) + 2(3x) - 2(5) - 8(3x) - 8(-5)
→ 18x - 30 + 6x - 10 - 24x + 40
Rearranging the expression:
→ 18x + 6x - 24x - 30 - 10 + 40
→ (18 + 6 - 24)x - (30 - 10 + 40)
→ 0x - 0
→ 0 => {final answer}
Therefore, the answer is 0.
Anna runs a 5k in 20 minutes. What is her speed in kilometers per hour?
Answer:
15kmh
Step-by-step explanation:
Answer:
15k
Step-by-step explanation:
There is 60 mins in an hour. Since she runs 5k in 20 mins you would multiply 20 by 3 because it would equal 60. Also you would multiply 5k by 3 also.
i hoped that made sense ;-;
Picture attached
A 15
B 41
C 20
D 30
Step-by-step explanation:
Find the distance between the line segments XY & YZ
XY = 4 units
YZ = 5 units
Use the following equation to solve for the hypotenuse of the triangle:
Hypotenuse = √(a² + b²)
Let: a = XY
b = YZ
Hypotenuse = √(4² + 5²)
Remember to follow PEMDAS. Solve the parenthesis first, and the powers first before adding:
Hypotenuse = √(16 + 25)
Hypotenuse = √(41)
B) 41 is your answer, if you keep it as c². However, if it is not, then none of your answer choices work, as the answer would be √41.
~
Can someone help me on this one.
Answers:
a) 6km/hour
b) 10 minutes
Step-by-step explanation:
a) after 30 minutes, Jo had walked 3km which means that after 1 hour
(30mins x 2), Jo would have walked 6km (3km x 2).
∴ Jo walks 6km/hour for the first 30 minutes
b) after 30 minutes, there is a flat line on the graph that stretches from 30 minutes to 40 minutes. The flat line indicates that Jo covered NO distance and was therefore taking a break. from 30 mins to 40 mins is 10 mins
∴ Jo's rest was 10 mins long
Hope this helps :-)
The point (5, -2) is rotated 90° about the origin. Its image is
(-2, 5)
(2, 5)
(-5, 2)
Answer:
(2,5)
Step-by-step explanation:
The rule to 90 degrees about the origin is (x,y) to (-y,x). You basically switch the values of y and x but remember the value of y is negative. The value of y is -2 so -2 is now 2 since the rule changed the sign (-2×-y=2) and 5 isnt affected except it is the x value. Just know that since they r switched, x is now 2 and y is 5 when rotated 90 degrees about the origin.
Answer:
(2,5)
Step-by-step explanation:
Find the area of the sector.
Answer:
Step-by-step explanation:
Area of sector = angle/360 * pi * r^2
r is 19m
37/360 * 22/7 * 19 * 19
Area = 116.61 m^2
a) Which of these numbers is 6 less than -11?
A) -5
B) -17
С) 17
D) 5
b) Which of these numbers is 34 less than -7?
A) -27
B) 27
C) -41
D) 41
Answer:
For the first on it is A) 17
For the second one it is B) 41 I hope cause I haven't done these in along time
Step-by-step explanation:
For the first on it's going to 17 because if you turn the less than sign into a minus sign you're going to get 6 - -11. You turn the two signs into a plus sign you get 6 + 11 and you add them you get 17
For the second one your going to the same thing you add 34 + 7 and you get 41
Darin skateboarded to the west at 8 m/s. In 7 seconds, he slowed down to 3
m/s. What was his acceleration?
O A. -1.4 m/s2 west
B. 1.4 m/s2 west
O C. -0.71 m/s2 west
D. 0.71 m/s2 west
Answer:
C) -0.71m/s²
Step-by-step explanation:
V = V0 + at
V = final veloctiy
V0 = Initial velocity
a = acceleration
t = time
3 = 9 + a7
-5 = a7
[tex]-\frac{5}{7}[/tex] = a
a ≅ -0,71
Answer:
C. -0.71 m/s2 west
Step-by-step explanation:
rewrite the equation of the circle (x-2)^2+y^2=3 in general form
Step-by-step explanation:
x²+4-4x+y²=3
x²+y²-4x+1=0
Answer:
?? Bro write the question better
Step-by-step explanation:
Sarah invests her graduation money of $1,750 in an annuity that pays an interest rate of 6% compounded annually. Sarah wants to determine the amount of money that will be in the account after a certain number of years if she leaves the money in the account and doesn’t make any deposits or withdrawals. Which function can Sarah use to describe her investment growth?
Answer:
[tex]A = 1750(1.06)^{t}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Rate Formula: [tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]
A is final amountP is principle amountr is raten is compounded ratet is time (in years)Step-by-step explanation:
Step 1: Define
Given
Principle Amount = $1750
r = 6% = 0.06
n = 1 (compounded annually)
Step 2: Write function
Substitute into formula
Substitute [CIR]: [tex]A = 1750(1 + \frac{0.06}{1} )^{1t}[/tex](Parenthesis) Divide: [tex]A = 1750(1 + 0.06)^{1t}[/tex](Exponents) Multiply: [tex]A = 1750(1 + 0.06)^{t}[/tex](Parenthesis) Add: [tex]A = 1750(1.06)^{t}[/tex]This equation tells us how much money A the investment has gained over t years.
find the area of the composite figure
Answer:
Quickly learn how to find the Area of Composite Figures in today's geometry lesson. With 19 worked examples, you'll have everything you need ...
Step-by-step explanation:
Find the volume of the planets
Answer:
can you show the planets. or do you want real planets volumes?
John is creating a shed in his backyard he wants to use brick for the front side with the door using the given brick how many will he need to cover the front of the shed
Answer:
180 bricks.
Step-by-step explanation:
The dimensions of the front of the shed are 30 x 12.
30 x 12 = 360
The dimensions of the brick are 2 x 1.
2 x 1 = 2.
360/2 = 180.
When solving a word problem why is it important to check if the final answer makes sense for the problem?
A pitcher can hold 8 times as much as a glass. The pitcher holds 64 ounces.
Which model shows this comparison?
54 ounces
Glass ?
Pitcher ??????
Glass ?| ?| ?| ?| ?| ?| ?| ?
Pitcher ?
54 ounces
3 ounces
Glass ????
Preher ????
Glass
Pitcher
54 ounces
84 ounces
Answer:
Im guessing this i might be wrong
54 ounces
3 ounces
Step-by-step explanation:
Answer:
To be honest i think 54 ounces and 3 ounces
Step-by-step explanation:
i was going to say 54 and 84 but i said to myself that didn't make any sense if it is 84 let me know plz
Hope this helpsHope this is rightGiven the points (0,−3) and (5,-6) and on a line, find its equation in the form
y=mx+b
Answer:
Step-by-step explanation:
y=mx+b
b=-3 (y intercept)
Use equation y2-y1/x2-x1
-3/5= m
y=-3/5x-3
Set up as equal rates and solve. The distance from Pensacola, Florida to Tallahassee, Florida on a map is 8 inches, which represents 200 miles. How many miles is it from Pensacola to Miami if the distance on the map measures 27 inches?
We have been given that the distance from Pensacola, Florida to Tallahassee, Florida on a map is 8 inches, which represents 200 miles. We are asked to find the actual distance from Pensacola to Miami if the distance on the map measures 27 inches.
We will use proportions to solve our given problem as proportion states that ratio between two proportional quantities is similar.
[tex]\frac{\text{Actual distance}}{\text{Map distance}}=\frac{200\text{ miles}}{\text{8 inches}}[/tex]
[tex]\frac{\text{Actual distance}}{\text{27 inches}}=\frac{200\text{ miles}}{\text{8 inches}}[/tex]
[tex]\frac{\text{Actual distance}}{\text{27 inches}}\times \text{27 inches}=\frac{200\text{ miles}}{\text{8 inches}}\times \text{27 inches}[/tex]
[tex]\text{Actual distance}=\frac{25\text{ miles}}{1}\times 27[/tex]
[tex]\text{Actual distance}=675\text{ miles}[/tex]
Therefore, the actual distance from Pensacola to Miami is 675 miles.
does anyone know thisss
Answer:
Step-by-step explanation:
area of sector = angle/360 * pi * r^2
59.4 = angle/360 * 3.142 * 17.9^2
angle = 21.24
Answer:
21.24°
Step-by-step explanation:
I hope it helps:)
PLS I MARK BRAINLIEST I ONLY HAVE 30 MINS LEFT
You notice that another cupboard door is in the shape of a square that is divided into two isosceles triangles. You measure the height of the cupboard to be 16 "2" /"3" inches. What is the area of one of the triangles shown on the face of the cupboard door? Show your work AND I NEED TO KNOW HOW YOU DID IT IT SAYS SHOWYOUR WORK
Which is correct?
O A. 463 < 437
OB. 763 > 746
OC. 674 < 643
OD. 734 > 743
O E. 634 > 647
Answer:
B
Step-by-step explanation:
763 is greater 746
Answer:
if my math is right its B
can someone helpp ??
Answer:
21.24°
Step-by-step explanation:
I hope it helps :)
Giving Brainliest to teh right answer! Come quick!
Answer:
x=65
Step-by-step explanation:
145 and 2x+15 are vertical angles meaning that they are congruent to each other. Subtract 15 from both sides, and divide by 2 giving x=65.
Hope this helps!
Part A The dot plot shows the daily lunch money of a group of students. Each dot represents one student. What is the mean daily pocket money? A $1.50 B $2.00 C $2.15 D $2.20 Part B What is the mode of the daily pocket money? Answer:
Answer:
Mean= $ 1.96
Mode= No mode
Step-by-step explanation:
Mean is the value obtained by dividing the sum of all the observations by their numbers.
Mean is obtained by dividing the total number of the values with the number of values.
Mean= x1+ x2+ x3 + x4/ 4
Mean = $ 1.5 + $ 2.0 + $ 2.15 + $ 2.20/4= 7.85/4= 1.9625or 1.963 or $ 1.96
Mode is the most frequent occurring value in a data set. But since all the values in the given set occur only once the data does not have any mode .
There is no mode because every value has the same frequency, that is it occurs the same number of times.
Evaluate without using a calculator by using ratios in a reference triangle.
cos 5pi/3
Answer:
The answer is 1 /2
Step-by-step explanation:
Cos, tan and sin are all positive in the first quadrant, but depends on the direction of the angle. Reference angle here we are looking for is the one in relation to the quadrant cos 5pi/3.
Any multiples of cos outside 2nd quadrant will give a positive value.
cos 5pi/3 is located in the 4th quadrant, while, cos pi/3 is located in the 1st quadrant, where the cos ratio has a positive value.
In terms of cosine, anytime the angle falls on the first or fourth quadrant it will always produce a positive graph.
For cos 5pi/3, cos pi/3 and cos 7pi/3 will give the same answer as "1/2" or "0.5" because, cos pi/3 will give 60 degrees which fall in the first quadrant
If "R" is a real number, for all R multiplied by pi/3, the new value gives an angle in the first or fourth quadrant, the angle will be 0.5
The exact value of cos 5 ( π /3 ) is 1 /2 .
22 .Siswa dapat menganalisis persamaan menggunakan identitas trigonometri
a) cot x.cos x per cosec x
b) cos pangkat 4 x - sin pangkat 4 x
This circle is circumscribed about quadrilateral ABCD. What is the value of x?
Answer:
The value of x is 56°
Step-by-step explanation:
Given that opposite angles in a cyclic quadrilateral is add up to 180°. So in order to find x, you have to write an expression in terms of x :
[tex]97 + x + 27 = 180[/tex]
[tex]x + 124 = 180[/tex]
Next you have to solve it by substracting 124 to both sides :
[tex]x + 124 - 124 = 180 - 124[/tex]
[tex]x = 56[/tex]