Answer:
-1/2
Step-by-step explanation:
slope is [tex]\frac{y_{2}- y_{1}}{x_{2}-x_{1}}[/tex]
so:
[tex]\frac{6-8}{12-8} = -\frac{2}{4} = -\frac{1}{2}[/tex]
Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB, CD = √3 Find: AC
Answer:
[tex]\boxed{AC = 2.3}[/tex]
Step-by-step explanation:
AD = BD (CD bisects AB means that it divides the line into two equal parts)
So,
AD = BD = AB/2
So,
AD = 3/2
AD = 1.5
Now, Finding AC using Pythagorean Theorem:
[tex]c^2 = a^2+b^2[/tex]
Where c is hypotenuse (AC), a is base (AD) and b is perpendicular (CD)
[tex]AC^2= (1.5)^2+(\sqrt{3} )^2[/tex]
[tex]AC^2 = 2.25 + 3[/tex]
[tex]AC^2 = 5.25[/tex]
Taking sqrt on both sides
[tex]AC = 2.3[/tex]
Answer:
[tex]\boxed{2.29}[/tex]
Step-by-step explanation:
The length of AB is 3 units.
The length of CD is [tex]\sqrt{3}[/tex] units.
D is the mid-point of points A and B.
AD is half of AB.
[tex]\frac{3}{2} =1.5[/tex]
Apply Pythagorean theorem to solve for length of AC.
[tex]c=\sqrt{a^2 +b^2 }[/tex]
The hypotenuse is length AC.
[tex]c=\sqrt{1.5^2 +(\sqrt{3}) ^2 }[/tex]
[tex]c=\sqrt{2.25+3 }[/tex]
[tex]c=\sqrt{5.25}[/tex]
[tex]c= 2.291288...[/tex]
Please answer this question now
Answer:
<S = 62 degrees
Step-by-step explanation:
For this problem, you need to understand two things. A line tangent to a circle's radius creates a 90-degree angle, and the sum of the interior angles of a triangle is 180 degrees. With that said, let's continue.
<S + <P + <Q = 180
<S + 90 + 28 = 180
<S + 118 = 180
<S = 62
Hence, <S = 62 degrees.
Cheers.
write down as decimal.
Answer:
iii) 5.7
iv) 27.85
vii) 0.609
viii) 40.0709
Step-by-step explanation:
hope this helps
I'm marking answers as brainliest. The solution to the following system is ________. -9x + 6y = -30, -7x + 12y = -16 * I I (0,2) (4,1) (-4,7) (2,1)
Answer:
Step-by-step explanation:
-9x + 6y = -30
-7x + 12y = -16
18x - 12y = 60
-7x + 12y = -16
11x = 44
x = 4
-36 + 6y = -30
6y = 6
y = 1
(4,1)
Answer:
(4,1)
Step-by-step explanation:
-9x + 6y = -30.............(1)
-7x + 12y = -16 ............(2)
(2) - 2(1)
-7x+12y - 2(-9x+6y) = -16 - 2(-30)
simplify
11x = 44
or
x = 4 .......................(3a)
substitute (3) in (1)
-9(4) + 6y = -30
6y = -30 + 36
6y = 6
y = 1 ......................(3b)
Using results from (3a) and (3b), we have
solution : (4,1)
The level of water in a dam was decreasing by 20% each day. If the level of water was 1500cm,what was the level after two days?
Answer:900
Step-by-step explanation:
Answer:
960 cm.
Step-by-step explanation:
For the first day:
Subtract the primary level of water by the 20% of it. 20% of 1500 is:
[tex]0.2*1500=300[/tex] (Convert the percent to decimal)
Then subtract 1500 to 300. That would become 1200cm for the first day.
For the second day:
Subtract the level of water from the first day by 20% of it. 20% of 1200 is:
[tex]0.2*1200= 240[/tex]
Then subtract 1200 to 240. That would become 960 for the second day.
The level of the water after 2 days is 960 cm.
In order to win a quiz contest, Olga must score more than 400400400 points. She earns 121212 points for each right answer, and loses 444 points for each wrong answer. Write an inequality that represents the number of right answers (R)(R)left parenthesis, R, right parenthesis and wrong answers (W)(W)left parenthesis, W, right parenthesis Olga can give to win the contest.
Answer: The number of points added for r right answers is 12r. The number of points taken away for w wrong answers is 4w, so Olga's total points will be
... 12r -4w
To win, she needs this number to be more than 400. Your inequality is ...
... 12r -4w > 400
Answer:12r -4w > 400
Step-by-step explanation:
What the correct answer now
Answer:
11
Step-by-step explanation:
The Law of Cosines is useful when you have two sides of a triangle and the angle between.
v^2 = w^2 +u^2 -2wu·cos(V)
v^2 = 6^2 +16^2 -2·6·16·cos(27°)
v^2 = 292 -171.0733
v ≈ 10.9966
v ≈ 11
Which phrase best describes f(x), graphed on the coordinate plane below?
f(x) is an odd function.
f(x) is an even function.
f(x) is both odd and even
f(xl is neither add nor even
Answer: f(x) is an odd function
Step-by-step explanation: The major characteristic of odd functions is that one end of the graph goes down to negative infinity, the other end goes up to positive infinity.
Answer:
f(x) is an odd function.
Step-by-step explanation:
f(x) =
- 6x5 + 4x3
Which characteristic is correct for the function
Complete question:
[tex] F(x) = -6x^5 + 4x^3 [/tex]
Which characteristic is correct for the function
a) odd
b) neither even nor odd
c) both even and odd
d) even
Answer:
a) odd
Step-by-step explanation:
Given the equation:
[tex] F(x) = -6x^5 + 4x^3 [/tex]
To test for even or odd let's perform the following:
F
Replace "x" with "-x"
Thus,
[tex] F(x) = -6x^5 + 4x^3 [/tex]
[tex] = -6(-x)^5 + 4(-x)^3 [/tex]
[tex] = 6x^5 + -4x^3 [/tex]
Since [tex] -6x^5 + 4x^3 [/tex] ≠ [tex]-6(-x)^5 + 4(-x)^3[/tex] the equation is not even.
Also, the signs changed, the equation is considered to be odd.
I.e f(x) = -f(x)
Correct answer is option (a) odd
Answer:
odd
explanation:
wht is the solution of the system defined be y =-x+5 and 5x+2y=14
Answer:
1.33,3.667
Step-by-step explanation:
Use y=mx+b for second system
which is y=5/2x+7
Now use substitution,graph, or elimination method.
En un rectangulo el ancho es menor en 5cm al largo . si el P= 38cm calcule su area
Answer:
84cm²
Step-by-step explanation:
Perímetro de un rectángulo = 2L + 2W
Representemos la longitud del rectángulo = L
En la pregunta anterior se nos dijo que el ancho del rectángulo = es menor que 5 en la longitud
Por lo tanto, ancho del rectángulo = L - 5
Perímetro del rectángulo = 38 cm
Por lo tanto
38 = 2 (L) + 2 (L - 5)
38 = 2L + 2L - 10
38 + 10 = 4L
48 = 4L
L = 48/4
L = 12 cm
La longitud del rectángulo = 12 cm
Como L = 12, encontramos el ancho
Ancho = L - 5
= 12 cm - 5 cm
= 7 cm
El ancho del rectángulo = 7 cm
En la pregunta nos pidieron encontrar el área del rectángulo.
Área del rectángulo = Largo × Ancho
Área del rectángulo = 12 cm × 7 cm
Área del rectángulo = 84cm²
i rlly need help :( this is hard
Answer:
A
Step-by-step explanation:
The domain does not exist when the denominater of an equation is zero. So in this case if x was -2 and we added 2 the denominator would be zero, and that value does not exist in the domain. Hope this helps!
Which of the following best classifies a quadrilateral with coordinates A(8, 4), B(6, 0), C(3, 2), and D(7, 10)? Trapezoid Parallelogram Kite Rectangle
Answer:
Trapezoid
Step-by-step explanation:
Got it right on quiz
The following that best classifies a quadrilateral with coordinates is :
A) Trapezoid
The following that best classifies a quadrilateral with coordinates is Trapezoid.A trapezoid could be a quadrilateral with one match of inverse sides parallel. In some cases individuals characterize trapezoids to have at slightest one match of opposite sides parallel, and some of the time say there's one and as it were one combine of inverse sides parallel.Thus, the correct answer is A.
Find out more information:
https://brainly.com/question/24200218referrer=searchResults
A company has determined that its weekly profit is a function of the number of items that it sells. Which equation could represent the weekly profit in thousands of dollars, y, when the company sells x items? y squared = 4 x squared minus 100 y = negative x squared + 50 x minus 300 x = negative y squared minus 400 x squared = negative 6 y squared + 200
Answer:
B. y= -x^2+50x-300
Step-by-step explanation:
A. y^2=4x^2-100
B. y= -x^2+50x-300
C. x=-y^2-400
D. x^2=-6y^2+200
we are to find profits (y) when the company sells x items
Option A can be used to calculate the profit (y) squared
Option B can be used to calculate profits (y)
Option C can be used to calculate items sold(x)
Option D can be used to calculate items sold squared(x^2)
We are asked to find the weekly profit (y) function which eliminate options A, C and D leaving us with option B
Therefore, the weekly profits (y) function in thousands of dollars when the company sells x items is
B. y= -x^2+50x-300
Use a calculator to find the measure of
Answer:
mRT = 4√13 ≈ 14.42
mST = 10√2 ≈ 14.14
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Since we have right triangles, in order to find the missing side, we use Pythagorean Theorem:
mTR:
12² + 8² = c²
144 + 64 = c²
c² = 208
c = √208 = 4√13
mST:
15² = 5² + b²
225 - 25 = b²
b² = 200
b = √200 = 10√2
To get your decimals, simply evaluate the square roots:
4√13 = 14.4222
10√2 = 14.1421
Answer:
6. 56.3 degrees.
7. 70.5 degrees.
Step-by-step explanation:
6. We are given the opposite and adjacent side lengths, so we can use tangent to solve this (TOA = Tangent; Opposite over Adjacent).
tan(R) = 12 / 8
tan(R) = 3 / 2
R = cotan(3/2)
R = 56.309932474020213
So, the measure of angle R is about 56.3 degrees.
7. We are given the adjacent and the hypotenuse, so we can use cosine to solve this (CAH = Cosine; Adjacent over Hypotenuse).
cos(R) = 5 / 15
cos(R) = 1/3
R = sec(1/3)
R = 70.528779365509
So, the measure of angle R is about 70.5 degrees.
Hope this helps!
Solving Exponential Equations using Logarithms
Answer:
6 weeks
Step-by-step explanation: set the equation to be 1458=2(3^t). Do the division property of equality by 2.
729=3^t
Divide 729 by 3 until you get a 1 as the answer.(Count the number of times that you did it, and that will be your answer)
The table below lists some of the characteristics of the houses on Katrina’s street. Characteristics of Homes For Sale on Katrina’s Street Bedrooms Acres of land Sale price Appraised value Property tax 2 0.17 $230,000 $200,000 $1,220 2 0.20 $210,000 $220,000 $1,232 3 0.20 $275,000 $250,000 $1,400 4 0.24 $275,000 $275,000 $1,540 4 0.52 $360,000 $310,000 $1,736 4 0.75 $350,000 $320,000 $1,792 5 1.23 $375,000 $350,000 $1,960 Which relationship describes a function?
Answer:
your welcome and hope this helps
Suppose a triangle has sides 3, 4, and 6. Which of the following must be true? A: The triangle in question is not a right triangle. B: The triangle in question may or may not be a right triangle. C: The triangle in question is a right triangle.
Answer:
A: The triangle in question is not a right triangle.
Step-by-step explanation:
If the triangle is a right triangle, then the Pythagorean theorem would hold
a^2 + b^2 = c^2
3^2 + 4^2 = 6^2
9+16 = 36
25 = 36
This is not true so this is not a right triangle
Answer:
A: The triangle in question is not a right triangle.
Step-by-step explanation:
We can use Pythagorean theorem to check.
a² + b² = c²
3² + 4² = 6²
9 + 16 = 36
25 = 36 (not true)
PLEASE ANSWER THIS FAST Will the red square and the orange square always equal the blue square? What colored square is the hypotenuse?
Step-by-step explanation:
The area of the blue square will always equal the sum of the area of the orange and red rectanglesThe pythagorian theorem:
a²+b² = c²
now let a be the side of the red triangle and b the side of the orange one
so a² is the area of the red triangle and b² is the area of the orange one
Let c be the side of the blue rectangle
so c² is the area of it
then what we concluded is right
the hypotenuse is the blue side since it is the larger oneneed help ASAP thanks
Answer:
[tex]b = 74\ cm[/tex]
Step-by-step explanation:
The volume of a prism is given by the following equation:
[tex]Volume = base\ area * height[/tex]
In our case, the base is a triangle, so the area is given by:
[tex]base\ area = base * height_{\Delta}/2[/tex]
The base of the triangle is 43 cm, the height of the triangle is b, the height of the prism is 24 and the volume of the prism is 38,184, so we have:
[tex]base\ area = 43 * b/2 = 21.5b[/tex]
[tex]38184 = 21.5b * 24[/tex]
[tex]b = 38184/(24*21.5)[/tex]
[tex]b = 74\ cm[/tex]
I need help for this problem!
-9(x + 6) = 18
Answer:
x = -8
Step-by-step explanation:
1. Divide both sides of the equation by -9 to get (x+6) = -2
2. Now that are left with x+6 you can subtract (inverse operation) the 6 from both sides of the equation to get x = -8
Hope this helps
Which of the following is a trinomial?
A. 13x^3
B. 12x2 + 2x+10
c.9/5x2
D. 3x - 15
Answer:
B is a trinomial.
Step-by-step explanation: A trinomial is a math equation with 3 terms connected by plus or minus notations. In these 4 answer choices, choice B is the only one with 3 terms.
Answer
13x^3 i think its the right answer but am not sure :(
I will give brainliest!! THERE IS NO OTHER INFORMATION GIVEN!! In ⊙O, chord XY is 8 cm long and is 10 cm from O. What is the radius ⊙O?
Answer:
radius ≈ 10.77 cm
Step-by-step explanation:
The segment from the centre O to the chord is a perpendicular bisector.
Thus 2 right triangles are formed with legs 10 cm and 4 cm ( half of XY )
The radius r is the hypotenuse.
Using Pythagoras' identity, then
r² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )
r = [tex]\sqrt{116}[/tex] ≈ 10.77 cm ( to 2 dec. places )
Answer:
Step-by-step explanation:
perpendicular from center always bisects the chord of circle.
1/2 of chord=1/2×8=4 cm
[tex]r=\sqrt{4^2+10^2} =\sqrt{16+100} =\sqrt{116} \approx 10.77 ~cm[/tex]
Which equations represents inverse variation? Check all that apply
An inverse variation can be represented by the equation xy=k or y=kx . That is, y varies inversely as x if there is some nonzero constant k such that, xy=k or y=kx where x≠0,y≠0
PLEASE help me answer this question!!!!
Answer:
[tex]\frac{77\pi }{3}[/tex] cm³
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )
Here diameter = 4 cm , hence r = 4 ÷ 2 = 2 cm
V = [tex]\frac{4}{3}[/tex]π × 2³ = [tex]\frac{4}{3}[/tex]π × 8 = [tex]\frac{32\pi }{3}[/tex] cm³
Thus
combined volume = [tex]\frac{32\pi }{3}[/tex] + 15π = [tex]\frac{32\pi }{3}[/tex] + [tex]\frac{45\pi }{3}[/tex] = [tex]\frac{77\pi }{3}[/tex] cm³
Please help Asap. Will give brainiest if answered correctly with a math question
TV = VX.
3x-24 = 2x + 1
Add 24 to both sides:
3x = 2x + 25
Subtract 2x from both sides:
X = 24
VX = 2(25) + 1 = 50 + 1 = 51
The answer is 51
Answer:
51
Step-by-step explanation:
Since it is an isosceles triangle the two sides are equal
3x - 24 = 2x + 1
x = 25
2(25) + 1 = 51
The landscape designer has drawn an angle on one side of the yard as wants to draw the same angle on the other side. Describe three ways he can do this
Answer:
1) by using a protractor
2) by finding a point
3) by extending the line of the angle until it reaches the other side of the field.
Step-by-step explanation:
There are different methods he can use to draw the angle on the other side of the yard, three of which are the following:
1) he can use a protractor to measure the angle he drew. That way he can go to the other side of the field and measure the same angle there. So then he can draw the angle in the new location.
2) He can draw a line on the given angle and find a point that passes through that line. Then he can draw a perpendicular line to the origin of the angle until it reaches the other side of the yard. This perpendicular line will cross the other side of the yard. This point where the line crosses the other side of the yard will be the new origin. With this new origin find the point again and draw a line that goes through the new origin and the new point he found.
3) Depending on the dimensions of the field, he can draw extend the line of the angle in such a way that it reaches the other side of the field. Then the angle will be on the other side. He can then use a square to move it around to where he wants it to be.
Hind Missing Angle
Instructions: Find the measure of the indicated angle to the
nearest degree.
54
?
31
?
Answer:
? = 35
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin ? = opp/ hyp
sin ? = 31/54
Taking the inverse sin of each side
sin ^-1 ( sin ? )= sin ^-1 (31/54)
? = 35.03481479
To the nearest degree
? = 35
1 less than a doubled number is equivalent to 5 more than 3 lots of the number
Answer:
the number is -6 (assuming "3 lots of" means 3 times)
Step-by-step explanation:
Let the number be x
1 less than a doubled number
2x-1
5 more than 3 lots of (times???) the number
3x+5
Solve for x
2x-1 = 3x + 5
-x = 5+1
x = -6
which statement about this figure is true
Answer:
D: It has reflectional symmetry with one line of symmetry
Step-by-step explanation:
The reason D is the answer is because, the tree has the same sides and if you put a line in the middle of the tree it is identical to the other side.
The image has a reflectional symmetry with one line of symmetry. The correct option is d.
A reflectional symmetric image has at least one line (axis) along which it can be folded or reflected to produce a complementary or identical image on the opposite side. The image is split along this line of symmetry into two equal halves that are mirror images of one another. The reflectional symmetry gives the picture a feeling of harmony and balance.
It is similar to viewing an image through a mirror in that the portion that is reflected is an exact replica of the original. This kind of symmetry is frequently found in many patterns and objects in nature, art and architecture which enhances the overall design's aesthetic appeal and visual interest.
learn more about reflectional symmetry here
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