Answer:
[tex]3x^2-5x=-8[/tex]
[tex]2x^2=6x-5[/tex]
[tex]-x^2-10x=34[/tex]
Step-by-step explanation:
The equations are:
[tex]3x^2-5x=-8[/tex]
[tex]2x^2=6x-5[/tex]
[tex]12x=9x^2+4[/tex]
[tex]-x^2-10x=34[/tex]
(a) [tex]3x^2-5x=-8[/tex]
Add 8 to both sides
[tex]3x^2 - 5x + 8 =0[/tex]
To do this, we simply calculate the discriminant (d) using:
[tex]d =b^2 - 4ac[/tex]
If [tex]d < 0[/tex]
Then it has complex roots
Where: [tex]a = 3; b = -5; c = 8[/tex]
[tex]d = (-5)^2 - 4 * 3 * 8[/tex]
[tex]d = 25 - 96[/tex]
[tex]d = -71[/tex]
[tex]-71 < 0[/tex] --- complex root
(b) [tex]2x^2=6x-5[/tex]
Equate to 0
[tex]2x^2 - 6x + 5 = 0[/tex]
[tex]d =b^2 - 4ac[/tex]
[tex]d = (-6)^2 - 4 * 2 * 5[/tex]
[tex]d = 36 - 40[/tex]
[tex]d =-4[/tex]
[tex]-4 < 0[/tex] --- complex root
(c) [tex]12x=9x^2+4[/tex]
Equate to 0
[tex]9x^2 - 12x + 4 = 0[/tex]
[tex]d =b^2 - 4ac[/tex]
[tex]d = (-12)^2 - 4 * 9 * 4[/tex]
[tex]d = 144 - 144[/tex]
[tex]d = 0[/tex] ---- real roots
(d) [tex]-x^2-10x=34[/tex]
Equate to 0
[tex]-x^2 - 10x - 34 = 0[/tex]
[tex]d =b^2 - 4ac[/tex]
[tex]d = (-10)^2 - 4 * (-1) * (-34)[/tex]
[tex]d = 100 - 136[/tex]
[tex]d = - 36[/tex]
[tex]-36 < 0[/tex] ---- complex root
The lines of symmetry in a regular polygon are equal to the number of sides minus 2. True or False
Answer:
False
Step-by-step explanation:
A regular polygon may be defined as the polygon that have sides of equal length known as equilateral and angles made up of equal angles, known as equiangular.
The [tex]$\text{number of lines}$[/tex] of symmetry in a regular polygon is always equal to the number of sides of the polygon. For example, a regular pentagon have 5 sides, so the lines of symmetry of the regular pentagon is also 5, a square having 4 sides also has 4 lines of symmetry.
can someone help me with this question? will give thanks!
Answer:
B. 63
Step-by-step explanation:
There are two similar triangles given in the diagram above. Since they area similar, they also have corresponding side lengths that are proportional.
Therefore:
(6 + 3)/3 = x/21
9/3 = x/21
3 = x/21
Cross multiply
21*3 = x
63 = x
x = 63
|x-1|-1=1 what’s the value of x
Answer:
x=3, x=-1
Step-by-step explanation:
|x-1|-1=1
Add 1 to each side
|x-1|-1+1=1+1
|x-1|=2
Now set the absolute value to ±2
x-1 = 2 and x-1 = -2
Add 1 to all sides
x-1+1 = 2+1 x-1+1 = -2+1
x=3 x = -1
HELP PLEASE HURRY 10 POINTS In the figure below, which answer choice correctly identifies the name of two
line segments?
PICTURE INCLUDED
Answer:
B.
Step-by-step explanation:
Answer:
it say 5 points scam
Step-by-step explanation:
At a college, the cost of tuition increased by 9%. Let z be the former cost of tuition. Use the expression z + 0.09z for the new cost of tuition. Write an equivalent expression by combining like terms
12 pointsss!!!
Subtracting a negative is the same as....
Answer:
The answer is ...adding a positive
The wheel of the Singapore Flyer is a circle with a diameter of 150 metres. Calculate the circumference of the wheel. Give your answer correct to the nearest metre.
Answer:
circumference is given by πd, where d is the diameter of the circle.
This implies, the circumference= 22/7*150m
=3300/7=471.429m
A student has an average (arithmetic mean) score
of 86 points for 4 tests. What total score does this
student need in the next two tests in order to have
an average of 90 for all 6 tests?
Please help!! Thank you!
Answer:
90 & 96
Step-by-step explanation:
if you add them and mean them you will conclude this solution
The total score this student needs in the next two tests in order to have an average of 90 for all 6 tests will be 196.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.
A student has an average (arithmetic mean) score of 86 points for 4 tests.
The total number of 4 tests will be
→ 86 x 4
→ 344
Then the total score this student needs in the next two tests in order to have an average of 90 for all 6 tests will be
The total number of 6 tests will be
→ 6 x 90
→ 540
Then the score in the last 2 tests will be
→ 540 - 344
→ 196
More about the mean link is given below.
https://brainly.com/question/521501
#SPJ2
How to graph y= 2x -2
Answer:
start at the y coordinate -2 then go up 2 and right 1
Step-by-step explanation:
Which linear equation has a slope greater -1 but less than 0?
1. 5x+4y=20
2. 4x+5y=20
3. 5x-4y=20
4. 4x-5y=20
Answer:
2. 4x + 5y = 20
Step-by-step explanation:
Determine the slope of each of the equations;
y = mx + c
where;
m is the slope
In each of the given equations, make y the subject of the formula
1. 5x + 4y = 20
4y = 20 - 5x
y = (20/4) - (5x/4)
y = 5 - 5x/4
m = -5/4
2. 4x + 5y = 20
5y = 20 - 4x
y = 4 - 4x/5
m = -4/5 = -0.8
3. 5x - 4y = 20
4y = 5x - 20
y = 5x/4 - 5
m = 5/4
4. 4x - 5y = 20
5y = 4x - 20
y = 4x/5 - 4
m = 4/5
The question says, which of the slope is greater than - 1 but less than 0
- 1 < m < 0
The only equation with slope greater than -1 but less than 0 is 4x + 5y = 20, with slope -4/5 = -0.8
[tex]\frac{12r}{r+2} =\frac{4}{r+2} -6[/tex]
Answer:
[tex]r = \frac{-4}{9}[/tex]
Step-by-step explanation:
[tex]\frac{12r}{r+2}= \frac{4}{r+2} -6 \\\\\frac{12r}{r+2}= \frac{4-6(r+2)}{r+2} \\\\\frac{12r}{r+2}= \frac{4-6r-12}{r+2}\\\\12r = -6r - 8\\\\12r + 6r = -8 \\\\18r = -8\\\\r = \frac{-8}{18} = \frac{-4}{9}[/tex]
The length of a trip varies directly as the amount of gasoline used. Yael's car used 16 L for the first 145 km of his trip from Toronto to Montreal. a) How much gasoline, rounded to the nearest litre, should he expect to use in the remaining 400 km of his trip? b) Can he complete the trip with a budget of $70, if gasoline costs $1.13/L?
Answer:
44
yes. the total cost is 68 which is less than 70
Step-by-step explanation:
There is positive proportionality is two variables are positively related to each other.
The equation for direct proportionality =
y = bx
where y = dependent variable
b = constant
x = independent variable
amount of gasoline = b x length of the trip
16 = b x 145
b = 16/145 = 0.110345
a. 400 x 0.110345 = 44
total litres used for the trip = 44 + 16 = 60
total cost of the trip = 60 x 1.13 = 67.8
total amount spent on gasoline is 67.8. this is less than the budget
The sound of a jet engine of a skyhawk jetfighter is 70000 times louder than the sound of a lawnmower if the lawnmower has the loudness of 88db then what is the loudness of the jet engine rounded to the 1DP
Answer: 6,160,000 db
Step-by-step explanation:
The sound of a jet engine is 70,000 times louder than that of a lawn mower.
Since we know the sound of a lawnmower, we can multiply that by 70,000 to find the sound of a jet engine:
= Sound of lawnmower * 70,000
= 88 * 70,000
= 6,160,000 db
hellllllllllllllp meeeeeeeeeeeeeee thank you
Answer: Choice B) SAS
=======================================================
Explanation:
The sides that have the double tickmarks are the same length. This forms one "S" of "SAS".
The square angles are 90 degree angles, or right angles. They are congruent. This forms the "A" of "SAS".
The overlapping sides are the same length, which forms the second "S" of "SAS".
The angle is between the two sides allowing us to use SAS. The order is important.
I need help time is running!!
Answer: 1/3piex^2
3rd one down
Step-by-step explanation:
I’m not positive sorry if I’m wrong
find the value.plzzz I will mark as the brillianest plzzzzzzzzzzzzzzzzzzzz
Answer:
n= 75
y= 75
z= 50
p= 105
other n across from p= 105
Step-by-step explanation:
n and y are the same since the triangle is isoseles.
p is supplemetary to n
z and 50 are opposites in a quadrilateral
Please help again I suck at geometry
Answer:
Option (6)
Step-by-step explanation:
By applying sine rule the given triangle XYZ,
sin(X) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
Measure of opposite side (XY) = 12
Measure of Hypotenuse (XZ) = 37
By substituting these values in the given expression,
sin(X) = [tex]\frac{12}{37}[/tex]
Therefore, Option (6) will be the correct option
The sides of a rectangle are in a ratio of 7 : 4. If the perimeter of the rectangle is 176 ft, what is the area of the rectangle? The area of the rectangle is
Answer:
1792
Step-by-step explanation:
The sides of the rectangle is 7 and 4
7x, 4x
2(7x+4x) = 176
14x + 8x= 176
22x= 176
Divide both sides by the coefficient if x which is 22
x= 176/22
x= 8
7x
= 7(8)
= 56
4x
= 4(8)
= 32
Area of the rectangle
= 56×32
= 1792
Exercice 6 (3 points). Résoudre le problème suivant :
On partage 9 800 euros entre 3 personnes. La première reçoit 240 euros de moins que la
seconde
et la part du troisième est égale aux trois quarts de la somme des parts des deux autres.
Calculer la part de chaque personne.
Answer:
P 2.680 S 2.920 T 4.200
Step-by-step explanation:
S = seconde
Premiere = S-240
Troisieme = 3/4( 2S -240)
S + S-240 + 3/4(2S-240) = 9800
Multiplie tout par 4 pour eliminer la fraction
4S + 4S -960 + 6S - 720 = 39200
14 S = 40.880
S = 2.920
P = 2.920-240 = 2.680
T =3/4(5.600) = 4.200
2.920 + 2.680 + 4.200 = 9.800
What number has a value less than 14.7?
Answer:
Anything below 14.7
Step-by-step explanation:
This track is made of a rectangle and two semicircles.
Find the perimeter of its outer edge, outlined in bold.
Answer:
the perimeter of thr outer breath is 34
NEED HELP with my question
Answer:
Should be around 3.60555
Step-by-step explanation:
Round it to whichever place it needs to be rounded
Edward has a bag filled with green and purple M&Ms. He has a total of 36 M&Ms in the bag. There are 3 purple M&Ms for every 1 green M&M. If he randomly selects one M&M from the bag, what is the probability that it will be green?
Answer:
25% chance
Step-by-step explanation:
9 green ones in the bag. 9/36=0.25%
A theatre has seats arranged in rows of 24, three hundred eighty -two(382) people attend a show at the theatre. What is the smallest number of rows that is needed to seat these people?
Answer:
Smallest number of rows that is needed to seat these people = 16
Step-by-step explanation:
Given - A theatre has seats arranged in rows of 24, three hundred eighty -two(382) people attend a show at the theatre.
To find - What is the smallest number of rows that is needed to seat these people?
Solution -
Given that,
Total number of seats in a Row = 24
Let us assume that, there are x rows
As.
There are 382 people in the Theatre
So,
Minimum seats required is
24 x = 382
⇒x = 382 ÷ 24
⇒x = 15.91
i.e.
Smallest number of rows that is needed to seat these people = 16
i relly need help please please please
Answer:
I think answer is
5.X+11
Given triangle XYZ:
Angle X = 90°
Angle Y = 45°
Angle Z=
Answer:
Hello! answer: 45
Step-by-step explanation:
90 + 45 + 45 = 180 therefore z = 45 hope that helps!
Hi there!
»»————- ★ ————-««
I believe your answer is:
45°
»»————- ★ ————-««
Here’s why:
The three interior angles of a triangle will always have a sum of 180°.⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Missing Angle:}}\\\\\rightarrow90 + 45 + x = 180\\\\\rightarrow 135 + x = 180\\\\\rightarrow 135-135 + x = 180 - 135\\\\\rightarrow \boxed{x = 45}\\\\\text{Therefore:}\\\\\measuredangle Z = 45$^{\circ}$[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
HELPPP ME PLEAASSEE.
Answer:
Betsy's calculations in Step 1 are correct because (8 + 18) gives 26. Betsy's calculations in Step 2 are incorrect because [tex]3^4[/tex] doesn't give 12. If Betsy reaches her goal each year, she will have 2,106 customers 4 years from now.
Step-by-step explanation:
Find the missing angle measure, arc measure of solve for x. Show all work!
Answer:
hmmmmm
Step-by-step explanation:
Answer:
m∠SRT = 47°
Step-by-step explanation:
The measure of an inscribed angle is 1/2 the measure of the intercepted arc.
So,
16x - 1 = 1/2(30x + 4) = 15x + 2
x - 1 = 2
x = 3
m∠SRT = 16(3) - 1 = 48 - 1 = 47
Jean, Pierre and Rachel are friends. Pierre is 8 years older than Rachel, while Jean is 15 years younger
than double the age of Peter. In addition, the sum of Peter's age and a quarter of Rachel's age is
John's age minus 5. Find out what each person's ages are.
AYO CAN ANYONE HELP ???
Answer:
Step-by-step explanation:
Cette même question... mais il me semble que quelqu'un a déjà répondu :)
A concert venue sells 16% of its tickets as reserved seats an upcoming concert sells 8,000 tickets .how many tickets are reserved