Answer:
[tex]\sf x=2+\sqrt{6},\:x=2-\sqrt{6}[/tex]
Explanation:
[tex]\sf y = x^2 -4x[/tex]
given that y = 2
[tex]\sf x^2 -4x = 2[/tex]
[tex]\sf x^2 -4x -2 = 0[/tex]
using quadratic formula:
[tex]\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ \ when \ ax^2 + bx + c = 0[/tex]
[tex]\rightarrow \sf x_{1,\:2}=\dfrac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\cdot \:1\cdot \left(-2\right)}}{2\cdot \:1}[/tex]
[tex]\rightarrow \sf x_1=\dfrac{-\left(-4\right)+2\sqrt{6}}{2\cdot \:1},\:x_2=\dfrac{-\left(-4\right)-2\sqrt{6}}{2\cdot \:1}[/tex]
[tex]\rightarrow \sf x=2+\sqrt{6},\:x=2-\sqrt{6}[/tex]
in decimals:
[tex]\rightarrow \sf x=4.45 , \ -0.45[/tex]
hey so im also looking for the first answer and the choices were “ is not “ and “ is “
so the investigator found the skid marks were 75 feet long hmmm what speed will that be?
[tex]s=\sqrt{30fd}~~ \begin{cases} f=\stackrel{friction}{factor}\\ d=\stackrel{skid}{feet}\\[-0.5em] \hrulefill\\ f=\stackrel{dry~day}{0.7}\\ d=75 \end{cases}\implies s=\sqrt{30(0.7)(75)}\implies s\approx 39.69~\frac{m}{h}[/tex]
nope, the analysis shows that Charlie was going faster than 35 m/h.
now, assuming Charlie was indeed going at 35 m/h, then his skid marks would have been
[tex]s=\sqrt{30fd}~~ \begin{cases} f=\stackrel{friction}{factor}\\ d=\stackrel{skid}{feet}\\[-0.5em] \hrulefill\\ f=\stackrel{dry~day}{0.7}\\ s=35 \end{cases}\implies 35=\sqrt{30(0.7)d} \\\\\\ 35^2=30(0.7)d\implies \cfrac{35^2}{30(0.7)}=d\implies 58~ft\approx d[/tex]
which of the follwoing are solutions to the inequality -7x+14>-3x-6
Also 5 3/7 x 3 1/2 Thanks
Colin is c years old. His 14 year old sister, Katie, is 4 years younger than Colin. write an expression
Answer: C - 4 = 14
Step-by-step explanation: In the expression, "c" is colin's age so, if you subtract 4 years for his age, you get Katie's age, which is 14.
Ratio volume of 2 cylinders is 125:343
Answer:
5145cm²
125/343=1875/x
x=1875×343÷125=5145
i need help asap pls
Step-by-step explanation:
[tex]m + 148 = 3m + 10[/tex]
[tex]148 - 10 = 3m - m[/tex]
therefore
3m = 138
m = 138/3
m = 46°
pls give brainliest
The equation for the axis of symmetry is
Answer:
I believe it is x=−b2a
Step-by-step explanation:
Looked it up
1. If two angles of a triangle are equal and the third angle measures 110°, then find the measure of each angle
Answer:
35
Step-by-step explanation:
There are 3 angles in a triangle
∠1 , ∠2 , ∠3
Of which
∠1 = ∠2
∠3 = 110
By angle sum property
∠1 + ∠2 + ∠3 = 180
∠1 + ∠2 = 180-110
∠1 + ∠2 = 70
∠1 = 70 ÷ 2
=35
∠1 = ∠2 = 35
Hence , 35+35+110 = 180
Answer:
35°, 35°, 110°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
let the equal angles be x , then
x + x + 110 = 180 , that is
2x + 110 = 180 ( subtract 110 from both sides )
2x = 70 ( divide both sides by 2 )
x = 35
the measure of each angle is 35° , 35° , 110°
What is the value of x? (5 points)
Determine is (x-3) is a factor of
x^3 - 5x^2 - 4x + 6 using the remainder
theorem:
Answer:
(x - 3) is not a factor
Step-by-step explanation:
If (x - h) is a factor of f(x) then f(h) = 0
here
f(x) = x³ - 5x² - 4x + 6 , then
f(3) = 3³ - 5(3)² - 4(3) + 6 = 27 - 5(9) - 12 + 6 = 27 - 45 - 6 = - 24
since f(x) ≠ 0 then (x - 3) is not a factor of f(x)
Which number line shows the solution of –5x + 10 > –15?
Answer:
B.
Step-by-step explanation:
-5x + 10 > -15
-5x + 10 - 10 > -15 - 10
-5x > -25
-5x / -5 > -25/(-5)
x < 5
Shelley drew a scale drawing of the high school. She used the scale 5 millimeters: 3 meters.
If the actual width of the parking lot is 42 meters, how wide is the parking lot in the drawing?
Answer:
70 meters
Step-by-step explanation:
Based on the given conditions, formulate:: 45x5/3
Cross out the common factor: 14x5
Calculate the product or quotient: 70
The width of the parking lot in the drawing is, 70 milliliters.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
She used the scale 5 millimeters: 3 meters.
And, The actual width of the parking lot is 42 meters.
Hence, We can formulate;
The width of the parking lot in the drawing = 42 × 5 / 3
= 70 milliliters
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ2
100!!! Points
Select the correct answer.
What is the range of the function shown in the graph?
So
The range is
(-oo,0)U(oo,5)So
-oo<y<5Option D is correct
A rectangular prism has a length of 3 meters, a height of 7 meters, and a width of 7 meters. What is its volume, in cubic meters?
PLEASE HELP FAST URGENT!!!
Answer:
A= Origen C= q1 B=Q2
Step-by-step explanation
your left-hand side is quadrant TWO Your top right-hand corner is Quadrant ONE and your second to the last one is left-hand side down Is Quadrant THREE last but not least is Quadrant FOUR. And the zero in the middle means ORIGEN.
Please please help me please
Answer:
A
Step-by-step explanation:
It could just be it was dilated (I think thats the word) by 3. 6×3=18, 8×3=24
A bag contains colored tiles 6 tiles are green 3 tiles are blue 3 tiles are red a tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green? record your answ. Be sure to use the coreect place value correct place value.
Answer:
6/12 = 0.5
Step-by-step explanation:
you add all the other tiles plus the green and then you do the green divided by that number
Solution:
Note that:
Probability that the tile will be green: Green tiles/Total tiles
Green tiles/Total tiles=> 6/6 + 3 + 3=> 6/12 = 1/2 = 50/100 = 0.5The probability (In decimal) of obtaining a green tile is 0.5.
Name each polynomial by degree and number of terms.
¶ Cσncєptѕ tσ вє uѕєd hєrє :
✦ Degree of a polynomial íѕ thє híghєѕt pσwєr σf α vαríαвlє ín thє gívєn pσlчnσmíαl.
✦ numвєr σf tєrmѕ = díѕtínguíѕhєd tєrmѕ ín α pσlчnσmíαl hαvíng díffєrєnt єхpσnєntíαl pσwєr, αnd ѕєpєrαtєd вч mαthєmαtícαl σpєrαtσrѕ ( + αnd - )
➳ nσtє :
#1. Combine the like terms before performing any operation.
#2. íf thєrє íѕ α multíplícαtíσn σr dívíѕíσn σpєrαtσr ín thє pσlчnσmíαl, wє hαvє tσ fínd thє prσduct fírѕt tσ pєrfσrm αnч σthєr σpєrαtíσn.
✿ lєt'ѕ prσcєєd ~[tex]\sf \#1 \: \: \: \{-9 {x}^{4} - 3x \}[/tex]
dєgrєє : 4 [ frσm -9х⁴ ]numвєr σf tєrmѕ : 2[tex]\rule{20cm}{1 mm}[/tex]
[tex]\sf \#2 \: \: \: \{-2v \}[/tex]
dєgrєє : 1 [ frσm -2v ]numвєr σf tєrmѕ : 1[tex]\rule{20cm}{1 mm}[/tex]
[tex] \sf \#3 \: \: \: \{9 {n}^{3} - 6n + 10\}[/tex]
dєgrєє : 3 [ frσm 9n³ ]numвєr σf tєrmѕ : 3[tex]\rule{20cm}{1 mm}[/tex]
[tex] \sf \#4 \: \: \: \{3 + 4 p {}^{4} + ( 4{p}^{4} - 5)\}[/tex]
[ cσmвínє thє líkє tєrmѕ ]
[tex] \sf \#4\: \: \: \{ 8p {}^{4} - 2\}[/tex]
dєgrєє : 4 [ frσm 8p⁴ ]numвєr σf tєrmѕ : 2[tex]\rule{20cm}{1 mm}[/tex]
[tex]\sf \#5 \: \: \: \{(8v+6v³) - ( v - 3v {}^{3 }{+ 5 {v}^{2} } )\}[/tex]
[ cσmвínє thє líkє tєrmѕ ]
[tex]\sf \#5 \: \: \: \{9v³ - 5 {v }^{2} + 7v \}[/tex]
dєgrєє : 3 [ frσm 9v³ ]numвєr σf tєrmѕ : 3[tex]\rule{20cm}{1 mm}[/tex]
[tex] \sf \#6 \: \: \: \{(3y + 4)(2y - 6) \}[/tex]
[ pєrfσrm thє multíplícαtíσn ]
[tex] \sf \#6 \: \: \: \{ 6 {y}^{2} - 10y - 24\}[/tex]
dєgrєє : 2 [ frσm 6y² ]numвєr σf tєrmѕ : 3[tex]\rule{20cm}{1 mm}[/tex]
Keep learning ~[tex]\qquad \qquad\huge \dag \: \normalsize \sf \boxed{ \underline{ǤríʍɌεαƿєr}} \: \huge \dag[/tex]
A lil help would be nice
(Explained answer will get brainlyist)
Answer:
10 cm
Step-by-step explanation:
Out of that [tex]160 cm^2[/tex], part of it is given by the surface of the top and bottom faces, which have area [tex]2\times 5 cm^2 = 10 cm^2[/tex] each, for a total of [tex]20 cm^2[/tex] . We are then left with [tex]140 cm^2[/tex] of surface from the side area. That area you can imagine as a rectangle of height h (which we need to know) and base [tex]5+2+5+2 cm = 14 cm[/tex] (imagine it as a box opened on a flat surface)
At this point we have [tex]140cm^2 = 14 cm \times h \rightarrow h= 10 cm[/tex]
After spending $6.75 on a meal and $1.25 on drinks, Maria had $12 left.
What percent of her money did Maria spend?
Answer:
40%
Step-by-step explanation:
6.75 + 1.25 = 8 (Total she just spent)
8 (Total she just spent) + 12 (Total she had left) = 20 (Total she started with)
8/20 = 0.4 = 40%
(Total spent / total she started with = 40%)
Which graph represents a function?
Answer:
the last one (bottom right)
Step-by-step explanation:
all the others have at least one x value with several associated y values.
but for a function, for all values of x there can be only one value of y.
Find the measurement of angle ( A ) round to the nearest hundred
Answer:
all you have to do is round to the nearest.
Step-by-step explanation:
just do it .
PLEASE HELP ME ITS URGENT!!!!
A rectangular garden has a walkway around it. The area of the garden is 4(5.5x + 1.5). The combined
area of the garden and the walkway is 4.5(8x + 4). Find the area of the walkway around the garden as
the sum of two terms.
CD
The area of the walkway around the garden is 1
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
We're given:
Area (garden) = 4(5.5x + 1.5)Area (garden + walkway) = 4.5(8x + 4)To find the area of the garden alone, we can subtract the area of the garden from the combined area of the garden and walkway:
[tex]4.5(8x + 4)-4(5.5x + 1.5)[/tex]
Open up the parentheses:
[tex]= 36x +18 -22x - 6[/tex]
Combine like terms:
[tex]= 36x +18 -22x - 6\\= 14x +18 - 6\\= 14x +12[/tex]
AnswerThe area of the walkway around the garden is 14x + 12.
The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 2-m beam can support 310 kg. How many kilograms can a 10-m beam support? a. 0. 0161 kg b. 62 kg c. 15. 5 kg d. 0. 0645 kg.
A beam of length 10m can support a weight of 62kg.
It is given that
Weight W ∝ 1/ Length L
W ∝ 1/L
W = k/L...........eq1
where k is constant of proportionality
What is the constant of proportionality?The constant of proportionality is the ratio that relates two given values.
It is given that when L= 2m, W = 310kg
310 = k/2
k = 620
So put the k value in eq1,
eq1 becomes,
W = 620/L
when L = 10
W = 620/10
W =62kg
Therefore, a beam of length 10m can support a weight of 62kg.
To get more about the constant of proportionality visit:
https://brainly.com/question/26171814
Find the midpoint of the line segment with end coordinates of:
(
−
3
,
−
1
)
and
(
4
,
−
5
)
Give coordinates as decimals where appropriate.
Answer:
(0.5, -3)
Step-by-step explanation:
(-3, -1) (4, -5)
midpoint formula
(x1 + x2) /2, (y1 + y2) /2
-3 + 4 = 1 / 2 = 0.5
-1 + -5 = -6 / 2 = -3
PLEASE HELP IMMEDIATELY IT WOULD MEAN THE WORLD
23 mm
14 mm
Answer:
14+19=33 33 divided by 23=?
Step-by-step explanation:
triangle with the given side is a right triangle;14mm, 19mm, 23mm ... Use the Pythagorean theorem that only works for right triangles.
A model of a skyscraper is made using a scale of 1 inch: 75 feet. What is the height of the actual building if the height of the model is 19 2/5 inches?
Ms. Yang left work at 5:15 p.m. She
went to the gym for 90 minutes,
and then it took her 40 minutes to
drive home. What time did Ms. Yang
get home?
HELP ME PLEASE ( 5th grade math )
Answer:
7:25
Step-by-step explanation:
Overall it took her 130 minutes while she was out so if you put that in time measurement it would be 7:25.
The function f(x)= -45x + 270 represents the total distance, in miles, a traveler is from home x hours after beginning the trip home. What is the average rate of change over the interval from x = 1 to x = 3, in miles per hour?
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :- We have given one function f(x) = -45x + 270 The given function represents the total distance in miles. The initial interval was x = 1 and final interval was x = 3 To Find :- We have to find the rate of change over the given interval Let's Begin :-Here, We have
Function = f(x) = -45x + 270The given function represents the total distance in miles covered by the traveller.
Therefore,
For initial interval that is x = 1 , Distance covered by the traveller
[tex]\sf{ f(x) = -45x + 270 }[/tex]
[tex]\sf{ f(1) = - 45(1) + 270 }[/tex]
[tex]\sf{ f(1) = - 45 + 270 }[/tex]
[tex]\sf{ f(1) = 225 }[/tex]
For final interval that is x = 3, Distance covered by the traveller
[tex]\sf{ f(x) = - 45x + 270 }[/tex]
[tex]\sf{ f(1) = - 45(3) + 270 }[/tex]
[tex]\sf{ f(1) = - 135 + 270 }[/tex]
Now,We have to find the average rate of change over the given time interval
Therefore,Average rate of change in the given time interval
[tex]\sf{ = }{\sf{\dfrac{ f(1) + f(3) }{3 - 1}}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{ 225 + ( -135) }{ 2}}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{ 225 - 135 }{ 2}}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{ 90 }{ 2}}}[/tex]
[tex]\sf{ = 45 }[/tex]
Hence, The average rate of change over the given interval is 45 miles per hour.
look at the attachment
Simplified it too
pls take it seriously
[tex]\\ \rm\rightarrowtail \dfrac{sin(180+A)+2cos(180+A).cos(A-180)}{2cos^2(360+A)-cos(-A)}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{-sinA+2(cos^2A-sin^2A)}{2cos^2A-cosA}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{-sinA+2cos^2A-2sin^2A}{cosA(2cosA-1)}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{-sinA+2-2sin^2A-2sin^2A}{cosA(2cosA-1)}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{-sinA-4sin^2A}{cosA(2cosA-1)}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{-sinA(4sinA-1)}{cosA(2cosA-1)}[/tex]
[tex]\\ \rm\rightarrowtail -tanA\left(\dfrac{4sinA-1}{2cosA-1}\right)[/tex]