Answer:
(x-1)(x-2)
x=1, x=2
Step-by-step explanation:
Trevor is fishing from a small boat. His fishing hook is 8 meters below him, and a fish is swimming at the same depth as the hook, 5 meters away. How far away is Trevor from the fish? If necessary, round to the nearest tenth.
A ray from Trevor to the fish is the hypotenuse side of a right triangle with
vertices at Trevor's position, the hook and the fish.
The distance from Trevor to the fish is approximately 9.4 meters.Reasons:
The distance of the hook below Trevor, y = 8 meters
The horizontal distance of the fish from the hook, x = 5 meters
Required:
The distance of the fish from Trevor
Solution:
A line drawn from Trevor's position to the fish, h, then to the hook, x, and
then to Trevor, y, forms a right triangle with the distance from Trevor to the
fish being the hypotenuse side, h.
Therefore, by Pythagorean theorem, we have;
h² = y² + x²Which gives;
h² = 8² + 5²
h = √(8² + 5²) = √(89 ≈ 9.4
The distance from Trevor to the fish given to the nearest tenth , d ≈ 9.4 meters
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PLEASE HELP!!!!
Simplify:
3x2 + 7xy + 9x + (-8xy) +21x2
Answer:
22 x ² − x y + 9 x
Step-by-step explanation:
The simplification is 24[tex]x^{2}[/tex] - x y + 9x and option E is correct
what is simplification?
Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler (usually shorter).
simplify,
[tex]3x^{2}[/tex] + 7xy + 9x + (-8xy) + [tex]21x^{2}[/tex]
3[tex]x^{2}[/tex] + 21[tex]x^{2}[/tex] + 7xy - 8xy + 9x
24[tex]x^{2}[/tex] - 1xy + 9x
hence, the simplification is 24[tex]x^{2}[/tex] - x y + 9x and option E is correct
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Determine the intercepts of the line.
Step-by-step explanation:
The x-intercept is the value of x when y is 0
So you need to substitute:
0 = 4x + 7
-7 = 4x
-7/4 = x
(-7/4,0)
Similarly, the y-intercept is the value of y when x is 0
So:
y = 4x + 7
y = 4(0) + 7
y = 7
(0,7)
Given: triangle JKN J (3,1), K (5,2), N (1,5)
(all 3 need separate answers)
a) find the coordinates of the centroid.
b) find the coordinates of the orthocenter.
c) find the coordinates of the circumcenter and length of radius of circumscribed circle.
Answer:
Let the radius of the circumscribed circle be r.
The formula for calculating the radius r is
r
=
Δ
s
Where
Δ
is the area of the triangle
s
is the semi-perimeter.
s
for any triangle is calculated as
s
=
a
+
b
+
c
3
Where,
a
,
b
,
c
is the sides of the triangle
Δ
=
√
s
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
(Heron's Formula)
Plug in the values and get the answer.
Once you have the radius, you can easily find out the area of the circle.
Step-by-step explanation:
PLS ANSWER THE FOLLOWING QUESTION
I WILL MARK AS BRAINLIST
Answer:
Simplfy 823543000000
Exponential form 8.23543 × 10^11
What is 2 + 7?
i have to write 20 characters to get a great answer apparently so just ignore this
Answer:
9
Step-by-step explanation:
a store pays $60 for the shoes and sells them for $90. What is the percent markup
HELP PLZZ!! ill give brainlist
Answer:
Step-by-step explanation:
The spinner should land on whatever color 25% of the time.
25% of 20 = 25/100 * 20 = 500/100 = 5
So the correct answer is the number of times the spinner lands on a color 5 times. Only white does that. All the other colors either go above 5 or below it.
Answer:
White
Step-by-step explanation:
to find the theoretical probability, you just divide the number of times you spin it, which is 20, by how many equal sides the spinner has which is 4.
So therefore you'll do:
20 ÷ 4 = 5
So since that is the same probability as white, the answer is white.
What is the value of x?
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
option d is correct[tex]\large\huge\green{\sf{Explanation:-}}[/tex]
The sum of all three angle of triangle is180°[tex](8x + 5) + (5x - 1) + (4x + 6) = 180 {}^{o} \\8x + 5 + 5x - 1 + 4x + 6 = 180 {}^{o} \\ 8x + 5x + 4x + 5 - 1 + 6 = 180 {}^{o} \\ 17x + 10 = 180 {}^{ {}^{o} } \\ 17x = 180 - 10 \\ 17x = 170 \\ x = \frac{170}{10} = 17 \\ x = 17[/tex]
Solve for C: 20 (greater than or equal too sign) C-11
Answer:
C (is greater than it equal to) 31
Step-by-step explanation:
Isolate the c by adding 11 to both sides (cancels out the 11 and turns 20 into 31). Keep the sign the same!! Hope this helped! <33
2x+5y>−6
−4x+3y≤2
Is (-1,7)(−1,7)left parenthesis, minus, 1, comma, 7, right parenthesis a solution of the system?
Answer:
No
Step-by-step explanation:
Khan told me ;p
Answer:
No
Step-by-step explanation:
Please don’t answer just for point! I really need help~
HURRY QUICK!!
Evaluate the following expression when x = -4 and y = 4.
Answer: Should be A
Step-by-step explanation:
Not 100% sure but I'm pretty sure it's A
Answer:
A
Step-by-step explanation:
You need to insert the values into the equations
1) [tex]\frac{x^{6} -x}{4y}[/tex]
[tex]\frac{(-4)^{6} -(-4)}{4(4)}[/tex]
Then open the brackets
[tex]\frac{4096 -(-4)}{16}[/tex]
Open the brackets again not forgetting that 2 - equal a positive
[tex]\frac{4100}{16}[/tex]
Simplify
[tex]\frac{1025}{4}[/tex]
In May, Ali was charging
$20 for individual
basketball lessons and in
August started charging
$25. What percent did
she increase her prices?
Answer:
25%
Step-by-step explanation:
25 - 20 = 5
20/4 = 5
100 / 4 = 25
Answer:
20+25%=25% Ali Has increased 25%
Prove that the equation x^2+px-1=0 for every p has two different solutions
Answer:
To prove: The equation x2+px−1=0 has real and distinct roots for all real values of p.
Consider x2+px−1=0
Discriminant D=p2−4(1)(−1)=p2+4
We know p2≥0 for all values of p
⇒p2+4≥0 (since 4>0)
Therefore D≥0
Hence the equation x2+px−1=0 has real and distinct roots for all real values of p
Which geometric series converges? StartFraction 1 Over 81 EndFraction StartFraction 1 Over 27 EndFraction one-ninth one-third ellipsis 1 one-half one-fourth one-eighth ellipsis Sigma-Summation Underscript n = 1 Overscript infinity EndScripts 7 (negative 4) Superscript n minus 1 Sigma-Summation Underscript n = 1 Overscript infinity EndScripts one-fifth (2) Superscript n minus 1.
The geometric series that converges from the listed option is [tex]1+\frac{1}{2} + \frac{1}{4} +\frac{1}{8} ,...[/tex] Option B is correct.
The nth term of a geometric sequence is expressed as;
[tex]a_n=ar^{n-1}[/tex]
a is the first term of the sequencer is the common ration is the number of terms.For a geometric sequence to converge, the modulus of its common ratio must be less than 1 (|r| < 1), otherwise, it diverges.
For the first series given as [tex]\frac{1}{81} + \frac{1}{27} +\frac{1}{9} +\frac{1}{3}+ ,...[/tex]
[tex]r = \frac{1}{27} \div \frac{1}{81}\\r=\frac{1}{27} \times 81\\r=\frac{81}{27} \\r=3 > 1[/tex]
Since the common ratio of the sequence is greater than 1, hence the series diverges.
For the series [tex]1+\frac{1}{2} + \frac{1}{4} +\frac{1}{8} ,...[/tex]
[tex]r=\frac{1/2}{1} =\frac{1/4}{1/2} = \frac{1}{2}[/tex]
Since the common ratio of the sequence is less than 1, hence the series converges.
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PLEASE SOLVE ALL W STEPS WORTH 30 PTS
Answer:
Step-by-step explanation:
I'll leave you to round
7.)
x= amount invested at time 0
[tex]x*e^{18*.07}=25000\\x=7091.35066249[/tex]
8.)
[tex]7091.35066249(1+\frac{.045}{4})^{4*36}=35510.594803[/tex]
8b.)
In the first investment we had a yield of: 25000-7091.35=17908.65
In the second investment we had a yield of: 35510.5948-7091.35=28419.24
While it may seem like the second investment had the higher return (because it had the higher yield) the first one has the highest yield because it's being compounded more often and at a higher rate
Select the two pairs of figures that are similar.
Angle measures are rounded to the nearest integer.
The two pairs of figures that are similar are shown in figure 1 and 3.
What is Similar quadrilateral?
Two quadrilaterals are similar when there corresponding angles are equal to each other.
Given that;
In figure 1;
Two triangles are shown.
In figure 2;
One rectangle and other is square.
In figure 3;
Two rectangle are shown.
Now,
Since, Two quadrilateral are similar when there corresponding angles are same.
In the figure 1;
The angles of first triangles = 37° , 53°
So, The third angle = 180 - (37 + 53)
= 90
The angles of second triangles = 37° , 53°
So, The third angle = 180 - (37 + 53)
= 90
Thus, There all angles are equal to each other.
So, These figure are Similar.
And, In figure 2;
One figure is square and other is a rectangle.
So, It is not similar.
And, In figure 3;
Both figure are rectangle.
And, All angles in a rectangle are 90 degree.
Thus, they are similar.
Therefore,
The two pairs of figures that are similar are shown in figure 1 and 3.
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3a-1 over 8=a+9 over 4
Answer:
1800 stanley steamer
Step-by-step explanation:
A train is moving at 65.0 m/s. After 16.0 seconds, it is moving at 85.0 m/s. What is the acceleration?
Happy Holidays!
We can use the following equation to calculate uniform acceleration:
[tex]\large\boxed{a = \frac{\Delta v}{\Delta t} = \frac{v_f - v_i}{\Delta t}}}[/tex]
Plug in the given values to solve:
[tex]\frac{85 - 65}{16}}} = \frac{20}{16} = \boxed{1.25 m/s^2}}[/tex]
Answer:
Hope it will help you...
what is the relationship between the amplitude of light of light waves and brightness
Answer: The amplitude of light waves is associated with our experience of brightness or intensity of color, with larger amplitudes appearing brighter.
6. You are planning a camping trip. The campsite you want to rent charges a $15 fee
to reserve the site, plus an extra $3 per day.
Part I: Define your variables and write a linear equation in slope-intercept form to
represent the cost of the campsite. (4 points)
Part II: Find the y-intercept and interpret it. (2 points)
Part III: Graph the equation for the cost of renting the campsite. Label three
points on your graph and indicate the slope. (4 points) Place the given line on the
graph to represent your equation.
Answer:
y=3d+15
y intercept is 15
slope is 3
Step-by-step explanation:
to graph start at 15 on the y axis. then go up 3 points and over one point. keep doing this until you have a straight line.
- 3m + 7 - 2n
Can I get the answer
Answer:
3m + 5
Step-by-step explanation:
uhmm i think 2n is i cant solve here hope it helps
what label would not be appropriate for volume
The value of X is units in length.
Answer:
x=17.5 we do that 5*3.5 =17.5
HI CAN YOU PLEASE HELP ME
Answer:
11 C
12 D
13 B
14 E
15 A
Step-by-step explanation:
pure definition case. there is nothing to solve, and not really anything to explain in addition to the assigned texts.
What is the domain???????
Answer:
H
Step-by-step explanation:
The domain is the values of x in a function.
The graph appears to extend infinitely to the right and left going from the x value 1
From what it looks like the two lines never touch or go over the x value 1 and extend infinitely to the right and left meaning that the values of x of the function are all real numbers but x = 1.
This can be written as {x | x ≠ 1 }
The answer is H
Select the correct answer.
If a = 0.3 and b =0.5, what is the value of a+b?
A.8/10
B.8/9
C.80/99
D.88/100
Answer:
B
Step-by-step explanation:
PLEASE HELP ASAP OF YOU DO FOD BLESS YOU BECAUSE IT WILL RAISE MY GRADE
Answer:
8
Step-by-step explanation:
The basic form of the equation is y=mx+b. The b stands for the y-intercept. In this equation, 8 is b due to its position in the equation, and -8/7 is m. Since we know that 8 is b and that b is the y-intercept, we know that 8 is the y-intercept.
Hope this helps!
-5/9+(-4/3)-2/3 khan academy. Please help !!!
Answer:
= -2.554
Step-by-step explanation:
BODMAS Rule:
Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, S-Subtraction.
-4/3 = -1.33333333333
-2/3 = -0.66666666666
-5/9 = -0.55555555555
-0.555+(-1.333)-0.666
= -2.554
Step-by-step explanation:
[tex] - \frac{5}{9} + ( - \frac{4}{3} ) - \frac{2}{3} = - \frac{23}{9} [/tex]
First deal with the bracket to get
[tex] - \frac{5}{9 } - \frac{4}{3} - \frac{2}{3} [/tex]
Next, find the L.C.M which is 9
[tex] \frac{ - 5 - 4 \times 3 \times - 2 \times 3}{9} [/tex]
[tex] \frac{ - 5 - 12 - 6}{9} = - \frac{23}{9} [/tex]