Answer:
-7
Step-by-step explanation:
In the equation of ax² +bx +c= 0, the discriminant (denoted by D) is [tex]\textcolor{steelblue}{b^{2} - 4ac }[/tex].
-2x² -x -1= 0
Let's identify the values of a, b and c in this equation! It is important to account for the negative sign too.
a= -2, b= -1, c= -1
D
= (-1)² -4(-2)(-1)
= 1 -4(2)
= 1 -8
= -7
Implications of discriminant
The discriminant tells us the number of roots (solutions) the equation hasWhen D < 0, there are no real rootsWhen D= 0, there is one real rootWhen D > 0, there are two real rootsFind the volume of a pyramid with a square base, where the area of the base is 12. 4\text{ ft}^212. 4 ft 2 and the height of the pyramid is 5\text{ ft}5 ft.
Check the picture below.
[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} B=\stackrel{base}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=12.4\\ h=5 \end{cases}\implies V=\cfrac{(12.4)(5)}{3}\implies V=20.\overline{6}~ft^3[/tex]
Instructions: Find the length of the missing sides.
I WILL GIVE A BRAINIST !!
please explain how to do this
Answer:
y = 8sqr3,
x = 4sqr3
Step-by-step explanation:
Use SOH CAH TOA, to solve this.
Here I know the opposite, so I could use either SOH either TOA or both to find the 2 unknowns.
To find y, I would use SOH, which is Sin(angle) = opposite/hypotenuse.
When I rearrange it, I get opposite/Sin(angle) = hypotenuse.
Now let's fill in with the values to give:
12/sin(60) = 8sqr3
And then to find x, let's use TOA, which is Tan(angle) = opposite/adjacent.
Rearrange it to get opposite/Tan(angle) = adjacent. This gives us a side x with a value of:
12/tan(60) = 4sqr3
What is the value of x? (5 points)
Ratio volume of 2 cylinders is 125:343
Answer:
5145cm²
125/343=1875/x
x=1875×343÷125=5145
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.
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
PLEASE HELP ANSWER THESE FAST, will give brainliest and 100 points
Step-by-step explanation:
11.
x is sin(60) in a circle with radius of 8.
x = sin(60)×8 = 6.92820323... ≈ 6.9
12.
x is sin(30) in a circle with radius "diagonal length".
6 is cos(30) in the same circle.
6 = cos(30)×r
r = 6/cos(30) = 6.92820323...
x = sin(30)×r = 3.464101615... ≈ 3.5
13.
similar to 12.
but we refer to the angle at the bottom right vertex.
remember, the sum of all angles in a triangle is always 180°.
so, the angle over there at the right is
180 - 90 - 68 = 22°
x = sin(22)×r
25 = cos(22)×r
r = 25/cos(22) = 26.96336857...
x = sin(22)×r = 10.10065565... ≈ 10.1
14.
9 is the sine of the complementary angle of 49 in a circle with radius x.
the complementary angle is the angle that adds up with the original angle to 90° and is therefore
90 - 49 = 41°
9 = sin(41)×x
x = 9/sin(41) = 13.71827778... ≈ 13.7
18.
we use the extended Pythagoras :
c² = a² + b² - 2ab×cos(C)
with c being the side opposite of the angle C.
so we have
LK² = 16² + 24² - 2×16×24×cos(29) =
= 256 + 576 - 768×cos(29) =
= 832 - 671.7079351... = 160.2920649...
LK = 12.66065026... ≈ 12.7
19.
law of sine
a/sin(A) = b/sin(B) = c/sin(C)
with the sides being always opposite to the corresponding angles.
to find the angle at H we need to find the angle at G first, because we don't know GF yet.
so,
28/sin(76) = 18/sin(G)
sin(G) = 18×sin(76)/28 = 0.623761538...
G = 38.59134528...°
remember the 180° rule in triangles.
H = 180 - 76 - G = 65.40865472...° ≈ 65.4°
20.
GF is now calculated using the law of sine again.
28/sin(76) = GF/sin(H)
GF = 28×sin(H)/sin(76) = 26.23980579... ≈ 26.2
Which of the following is an example of a rational function?
Answer:
the second one is an example of a rational function
Which expression is equivalent to StartRoot 120 x EndRoot?.
Here for 120, the expression for the start root and end root is given
[tex]\sqrt{120} =2\sqrt{30}[/tex]
What will be the expression for start root and enroot of 120?Here we need to find [tex]\sqrt{120}[/tex]
By simplifying the given expression, we get:
[tex]120=2\times2\times2\times3\times5[/tex]
[tex]120=(2^{2} )\times3\times5[/tex]
by taking square roots on both sides we get
[tex]\sqrt{120} =2\sqrt{30}[/tex]
Thus for 120, the expression for the start root and end root is given [tex]\sqrt{120} =2\sqrt{30}[/tex]
To know more about the Square roots follow
https://brainly.com/question/124481
Answer:
2 square root 30x
Step-by-step explanation:
A on Edge
1. List all the ways that the graph of the parent function y = x^2 would be transformed to create the graph of the new function y = -(x – 1)^2 – 5
A. Translated right 1 and down 5 only
B. Translated right 1 and down 5, vertically stretched (thinner shape)
C. Translated right 1 and down 5, vertically shrunk (wider shape)
D. Translated right 1 and down 5, reflected (opens down)
To determine how the graph of the parent function [tex]y = x^2[/tex] is transformed to create the graph of the new function [tex]y = -(x – 1)^2 – 5[/tex], we need to analyze the individual transformations one by one Therefore the correct option is A.
1. Translation: (x – 1) This term inside the function represents a horizontal translation of the graph. When we subtract 1 from x, the entire graph is shifted to the right by 1 unit. Hence, this function is translated right 1 unit. 2. Reflection: (-) The negative sign outside the function reflects the graph across the x-axis. Thus, the graph opens downward.
3. Vertical Transformation: -5 The term -5 outside the function causes a vertical shift of the graph downward by 5 units. In summary, the graph of the new function [tex]y = -(x – 1)^2 – 5[/tex] undergoes the following transformations: - Translated right 1 unit due to (x – 1) - Reflected (opens downward) due to the negative sign - Translated down 5 units due to -5 Therefore, the correct answer is A. Translated right 1 and down 5 only
Hence the correct option is A
To know more about horizontal translation visit:
https://brainly.com/question/29814017
#SPJ2
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.
Lin bought 1 pretzel from a snack cart for $4.80. There’s a 5% sales tax rate.
How much did Lin pay for the pretzel?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of 4.80}}{\left( \cfrac{5}{100} \right)4.80}\implies 0.24~\hfill \underset{\textit{price including tax}}{\stackrel{4.80~~ + ~~0.24}{5.04}}[/tex]
Help tysm SKjdnbhfredjnkasdnebh
Answer:
9 + 15 = 2424 × 3 = 72= 72Step-by-step explanation:
I'am a filipino/koreanBrainliestAnswer:
72 is the answer.Step-by-step explanation:
#BrainliestBunchThe coordinates of one endpoint of a line segment are (4, -12). The length of the segment is 5 units. Determine four coordinates that could serve as the other
endpoint of the given line segment
Answer:
Four coordinate pairs that could serve as the other endpoint of the given line segment are given by:
(9,-12)(-1,-12)(4,-7)(4,-17)Step-by-step explanation:
One endpoint of (4,-12), length of 5 units.
Four possible pairs:
Add 5 to x, keep y: (4+5,-12) = (9,-12).Subtract 5 from x, keep y: (4-5,-12) = (-1,-12).Keep x, add 5 to y: (4,-12+5) = (4,-7)Keep x, subtract 5 from y: (4,-12-5) = (4,-17)Four coordinate pairs that could serve as the other endpoint of the given line segment are given by: (9,-12), (-1,-12), (4,-7), (4,-17).What is the value of v?
Answer: 43
Step-by-step explanation:
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]
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]
What decimal best represents 1/4
Answer:
.25
Step-by-step explanation:
.25 or 1/4 is one-fourth of 1
You can divide 1 by 4 to get .25
hello can you help me with this question? 15 points
Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the value of z?
The value of z is equal to 50.28.
System of Linear EquationsSystem of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
Rational NumbersThese numbers are represented by a ratio between two integers numbers ([tex]\frac{a}{b}[/tex]), where b[tex]\neq[/tex]0. Besides, this ratio can be simplified in decimal form.
For solving this equation, firstly, rewrite the information given:
[tex]y=512x \;(1)\\ \\ z=50.25+x \;(2)\\ \\ y=15.5 \;(3)[/tex]
As the question gives the values for y, you can find x.
[tex]y=512x\\ \\ 15.5=512x\\ \\ x=\frac{15.5}{512} =0.03[/tex]
Applying x=0.03 in the equation (3), you can find z.
[tex]z=50.25+x \\ \\ z=50.25+0.03\\ \\ z=50.28[/tex]
Learn more about the system of equations here:
https://brainly.com/question/384631
tell me how to decompose 792
Answer:
break it down to prime factorization
so the ans will be 2^3 * 3^2 *11
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
A trapezoid has an area of 234.06 square feet. One base is 19.2 feet long. The other base is
9 feet long. What is the height?
Answer: Height = 16.6 ft
Step-by-step explanation:
The area of a trapezoid is (b1+b2)*h/2, where b1 and b2 are the bases and h is the height.
We can plug in the values given:
234.06 ft^2 = (19.2 ft + 9 ft)*h/2
We can multiply both sides by 2 and combine like terms:
468.12 ft^2 = 28.2 ft*h
Divide both sides by 28.2 ft:
Height = 16.6 ft
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
A triangle has two sides of length 17 and 2. What is the smallest possible whole-number length for the third side?
Answer: 16
Step-by-step explanation:
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
Calculate the area and perimeter of 4 cm and 6 cm
Answer:
Area: 24 Perimeter: 20
Step-by-step explanation:
Area (multiply side 1 by side 2):
4×6=24
Perimeter (add all of the sides together):
4+4=8
6+6=12
8+12=20
Laura is building a fence around a circular pond. The pond has a diameter of 30 feet. What is the minimum amount of fencing Laura will need?
Answer:
Step-by-step explanation:
Minimum Amount = circumference of the pond.
Formulas
C = pi * d
Givens
pi = 3.14
d = 30 feet
Solution
C = pi*d Substitute for the givens.
C = 3.14 * 30 Multiply
C = 94.2
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
Simplify the expression, if possible. If the expression is already in simplified form, enter the given expression7x^3-x^2/2x^3
it depends on the original question. here are 2 ways to solve depends on the question
7x³ - x²/2x³
7x³ - 1/2x
but if the problem is
(7x³-x²)/(2x³)
[x²(7x-1)]/(2x³)
(7x-1) / (2x)