Answer:
1.
It has two solution because it is in quadratic form.
2.
(x-4)²-28=8
x²-8x+16-28-8=0
x²-8x-20=0
Doing middle term factorization
x²-(10-2)x-20=0
x²-10x+2x-20=0
x(x-10)+2(x-10)
(x-10)(x+2)=0
either
x=10
or
x=-2
:. x= 10 or -2
3.
2x²-5x-5=0
Comparing above equation with ax²+bx +c
we get
a=2
b=-5
c=-5
quadratic equation is
[tex]x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
Substituting value
[tex]x = \frac{ 5 ± \sqrt{ {-5}^{2} - 4×2×-5} }{2×-5} [/tex]
-10x=5±[tex] \sqrt{ {25+ 40}}[/tex]
taking + ve
-10x=5+[tex] \sqrt{ {65}}[/tex]
x=-½-[tex] \frac {\sqrt{ {65}}}{10}[/tex]
taking -ve
x=-½+[tex] \frac {\sqrt{ {65}}}{10}[/tex]
hhhhheeeelppppp !!!!!
Answer:
attached above is the answer
Answer:
- 28 8
- 28 -6
Step-by-step explanation
Help!!! I’ll give brainliest
The width of Gabby's backyard is 4 meters shorter than its length, and its area is equal to 120 square meters Which equation can be used to find the possible values for the length of Gabby's backyard, x?
Answer:
B
Step-by-step explanation:
find the surface area. round to the nearest hundredth when necessary.
Answer:
The surface area of the cuboid is 648 m^2
Step-by-step explanation:
What we have here is cuboidal in outlook
By using the formula for the surface area of a cuboid, we can get the surface area of the shape
mathematically, we have the surface area of a cuboid as follows;
2(lb + lh + bh)
where l is the length, b is the breadth (width) and h is the height
We can have the length as 9 m, the width as 9 m and the height as 13.5 m
Substituting these values, we have the surface area of the cuboid as;
A = 2(9(9) + 9(13.5) + 9(13.5))
A = 2(81 + 243)
A= 2(324)
A = 648 m^2
xHelp I need help on this math question I think its easy for others.
Answer:
1) D
2) A
Step-by-step explanation:
I hope this helps.
hellp asap for brainliest the answer i picked in there is wrong my teacher told me
Answer:
The answer is b 2/5 times 1/4
Step-by-step explanation:
5x-1/5=7/3
Find The LCD That would eliminate the fractions
Answer:
[tex]x=\frac{7}{15}[/tex]
Step-by-step explanation:
[tex]5x-\frac{1}{5} =\frac{7}{3}[/tex]
[tex]5x - \frac{3}{15} = \frac{35}{15}[/tex]
[tex]5x - \frac{3}{15} + \frac{3}{15} = \frac{35}{15} + \frac{3}{15}[/tex]
[tex]5x=\frac{35}{15}[/tex]
[tex]\frac{5x}{5} } =\frac{\frac{35}{15}}{5}[/tex]
[tex]x=\frac{7}{15}[/tex]
I save 26$ each week. I started with 65$ saved. If I want to buy a bike that costs $273, how many weeks will I have to save
Answer:
Time = 8 weeks
Step-by-step explanation:
Given the following data;
Savings = $23
Savings made = $65
Cost of bike = $273
To find the amount required to purchase the bike;
Balance = cost of bike - savings made
Balance = 273 - 65
Balance = $208
Next, we find the number of weeks required to save $208 (balance).
Time = balance/savings
Time = 208/23
Time = 8 weeks
Solve for x
Please help me with this
Answer:
hope this helps you look it once.
Answer:
x = 16, x = 17
Step-by-step explanation:
Given a line parallel to a side of a triangle and it intersects the other 2 sides, then it divides those sides proportionally, that is
[tex]\frac{x+8}{20}[/tex] = [tex]\frac{2x-5}{22.5}[/tex] ( cross- multiply )
20(2x - 5) = 22.5(x + 8)
40x - 100 = 22.5x + 180 ( subtract 22.5x from both sides )
17.5x - 100 = 180 ( add 100 to both sides )
17.5x = 280 ( divide both sides by 17.5 )
x = 16
----------------------------------------------------------------
[tex]\frac{2x+8}{28}[/tex] = [tex]\frac{5x-4}{82-28}[/tex] = [tex]\frac{5x-4}{54}[/tex] ( cross- multiply )
28(5x - 4) = 54(2x + 8)
140x - 112 = 108x + 432 ( subtract 108x from both sides )
32x - 112 = 432 ( add 112 to both sides )
32x = 544 ( divide both sides by 32 )
x = 17
pleasw helppppp MESAAAHAHAHA
Answer:
I think Its D I'm not sure though because when it comes to maths I'm not smart
Answer:
the correct answer is A x<-2
Step-by-step explanation:
2x<1/2x-3
4x<x-6
4x-x<-6
3x<-6
x<-2
Please help, I'm behind
What is the difference between a 30° angle and a -30° angle?
Please provide a complete sentence or two.
Answer:
See below
Step-by-step explanation:
A 30° angle is measured 30° counterclockwise while a -30° angle is measured 30° clockwise. Therefore, you can say -30°=360-30°=330° because 30° is a reference angle located in Quadrant IV.
i would like help the picture is in the question
Answer:A
Step-by-step explanation:
PLEASE HELP FAST 30 POINTS! For Trancescient
c = 22.3 km
Step-by-step explanation:
You can solve this problem using cosine law:
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab \cos( \gamma ) [/tex]
where a and b are the legs of the triangle, c is the unknown length and the angle gamma is the angle opposite length c. We know that
a = 50 km
b= 52.4 km
gamma = 25°
c^2 = (50 km)^2 + (52.4 km)^2 -2(50)(52.4)cos25°
= 496.707 km^2
or
c = 22.3 km
On a coordinate plane, a square has points A (negative 5, 2), B (1, 2), C (negative 4, 1), and D (negative 5, negative 4).
If a translation of is applied to square ABCD, what is the y-coordinate of B'?
Answer:
-2
Step-by-step explanation:
Answer:
its -8
Step-by-step explanation:
i got it rigth on edge
The boys kept adding sand, and ten minutes later the volume of the sand cone had increased by 30%. What is the exact volume of the sand cone now? (Show your work. Remember you can draw a picture to help you solve the problem.)
Answer:
a) 84π b) 109.2π
Step-by-step explanation:
The formula to find this is v=πr^2h/3
r=d/2. so the radius (r) is 6 because you have to divide the diameter (12) by 2. and the height is 7. so, 6^2=36 and 36x7=252.
252/3=84
and because the question is asking for the EXACT value, you need to just put the pi symbol next to it. Final answer for a is 84π
B) you need to find 30% of 84, which is 25.2 and add it to 84, and you will get 109.2! Final answer is 109.2π.
identify whether the given pairs of events in a roulette game are mutually exclusive. Drag the items on the left to the correct location on the right.
mutually exclusive events
1 to 12 and red
not mutually exclusive
events
1 to 12 and 25 to 36
1 to 18 and odd
black and red
even and black
Answer:
Correct
not mutually exclusive events 1 to 12 and red
Correct
mutually exclusive events 1 to 12 and 25 to 36
Correct
not mutually exclusive events 1 to 18 and odd
Correct
mutually exclusive events black and red
Correct
not mutually exclusive events even and black
Step-by-step explanation:
En una clase de matemáticas hay 3 niñas y 3 niños del séptimo grado y 7 niñas y 5 niños del octavo grado. La maestra elige al azar un estudiante del
séptimo grado y un estudiante del octavo grado en la clase para una competencia. Cuál es la probabilidad de que los estudiantes que ella seleccione sean
Escribir la respuesta como una fracción en forma reducida.
ninas?
Answer:
No comprendo espanol. Yo se un muy poco.
Step-by-step explanation:
sort from greatest to least
-1.55
-1.5
-1.05
-1.0
please help asap or ill fail..please and thank you.
Sylvie is going on vacation. She has already driven 63 miles in one
hour. Her average speed for the rest of the trip is 58 miles per
hour. How far will Sylvie have driven 5 hours later?
Answer:
353 miles
Step-by-step explanation:
58 x 5 = 290
290 + 63 = 353
Make a box-and-whisker plot for the data.
Quiz scores: 6,6,7,8,8,8,9,10
Answer:
6-----7{8}9-----10
Step-by-step explanation:
I can't upload a photo but the lower extreme is 6, the lower quartile is 7, the median is 8, the upper quartile is 9, and the upper extreme is 10
Hope this helped :)
find the value of x help pls
Answer:
x = 29
Step-by-step explanation:
pls help me apparently its easy
Answer:
The answer should be 10c - 4d
Step-by-step explanation:
3c + 7c - 9d + 5d = 10c - 4d
Step-by-step explanation:
First you add up 3c and 7c as they have the same parameter. That makes 10c. Then calculate 5d-9d which equals -4d. You can change the order of 5d-9d in a way that you would reduce the larger number from the smaller number so that you could calculate it easily like that. The final Ander 2ould be 10c-4d
I need help with this problem.
Answer:
[tex]x=6,\\m\angle 1=18^{\circ}[/tex]
Step-by-step explanation:
Since the problem denotes the figure as a parallelogram, [tex]\overline{AB}[/tex] is parallel to [tex]\overline{DC}[/tex]. Therefore, angles 1 and 2 are equal (from corresponding angles and vertical angles).
Therefore, we have the following equation:
[tex]m\angle 1=m\angle 2,\\x+12=6x-18,\\30=5x,\\x=\boxed{6}[/tex]
Substituting [tex]x=6[/tex]:
[tex]m\angle 1=x+12=6+12=\boxed{18^{\circ}}[/tex]
Find the area of the shaded region. Round your answer to the nearest tenth.
PLS HELP
Find the area of the circle. Round your answer to the nearest hundredth.
(6)
3 in.
area: about
Step-by-step explanation:
area of a circle
A = pi x r^2
r = 3/2in
r= diameter / 2
Can someone help me with this it is for mathh.
Answer: it would be P=4n
Which angle is coterminal with a 110° angle?
O A. An angle measuring 460°
O B. An angle measuring -110°
C. An angle measuring 290°
O D. An angle measuring 470°
Answer:
D. An angle measuring 470*
Step-by-step explanation:In this question
The coterminal angle for 110° is 470°.
What are coterminal angles?"Coterminal angles are two (or more) angles that have their initial and terminal sides in the same positions. However, the angle measures differ either because one angle is measured clockwise and the other is measured counterclockwise".
For the given situation,
The angle is 110°.
The coterminal angles can be determined by adding or subtracting 360° to the given angle.
For 110° = [tex]360+110[/tex]
⇒ [tex]470[/tex]°
Hence we can conclude that the coterminal angle for 110° is 470°.
Learn more about coterminal here
https://brainly.com/question/2762868
#SPJ2
WHAT IS THE MEASURE OF ANGLE F?
Answer:
Hello! answer: 25
Step-by-step explanation:
x = 56 because... 56 - 31 = 25 56 + 43 = 99 and x = 56 so 56 + 25 + 99 = 180 Hope that helps!
Factor by grouping.
6p2 – 17p – 45
(2p – 9)(3p – 5)
(2p + 9)(3p – 5)
(2p – 9)(3p + 5)
(2p + 9)(3p + 5)
Answer:
C
Step-by-step explanation:
hope this helps with the work don't know how I keep finding your questions
HELP ASAP WILL AWARD BRAINLIEST ! find the product of the binomials f(x) and g(x). write your answer in standard form
Answer:
y=x^2 -5x+4
Step-by-step explanation:
F(x)= -x+1
G(x)-x+4
(-x+1)(-x+4) = x^2 -4x-1x+4 = x^2-5x+4
=======================================================
Explanation:
The f(x) function goes through (0,1) and (1,0). It's slope is
m = (y2-y1)/(x2-x1)
m = (0-1)/(1-0)
m = -1
The y intercept is b = 1 because this is where the blue line crosses the y axis.
We go from y = mx+b to y = -1x+1, or simply y = -x+1.
So f(x) = -x+1
Through similar steps, you should find that g(x) = -x+4
Both f(x) and g(x) have the same slope, which makes them parallel lines.
-----------------------------------
Once we know what f(x) and g(x) are, we multiply them out like so:
f(x) * g(x) = ( f(x) ) * ( g(x) )
f(x) * g(x) = ( -x+1 ) * ( -x+4 )
f(x) * g(x) = w(-x+4) ..... let w = -x+1
f(x) * g(x) = -xw + 4w ... distribute
f(x) * g(x) = -x( w ) + 4( w )
f(x) * g(x) = -x( -x+1 ) + 4( -x+1 ) ... plug in w = -x+1
f(x) * g(x) = x^2 - x - 4x + 4 ... distribute twice more
f(x) * g(x) = x^2 - 5x + 4
You could use the FOIL rule or box method as alternative routes to get this answer. I prefer the box method because the FOIL rule is only limited to multiplying binomials, while the box method allows you to multiply two polynomials of any length.