Answer:
Luca needs to throw the ball 10 meters to get to Valentina.
Step-by-step explanation:
Distance Between two Points in the Plane
Let's assume Luca is at the origin of coordinates (0,0).
Since Herman is 6 meters south of Luca, he is located at (0,-8).
We also know Herman is 8 meters west of Valentina, or equivalently, Valentina is 8 meters east of Herman. This locates Valentina at (6,-8).
If Luca wanted to throw the ball to Valentina, he would need to cover the distance between them.
Thus the problem reduces to find the distance between (0,0) and (6,-8).
Given two points A(x,y) and B(w,z), the distance between them is:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
Applying the formula:
[tex]d=\sqrt{(-8-0)^2+(6-0)^2}[/tex]
[tex]d=\sqrt{(-8)^2+(6)^2}[/tex]
[tex]d=\sqrt{64+36}=\sqrt{100}=10[/tex]
d=10 m
Luca needs to throw the ball 10 meters to get to Valentina.
1/9(2m-16)=1/3(3m+4)
Answer:
m = -4
Step-by-step explanation:
[tex] \frac{1}{9} (2m-16)= \frac{1}{3} (3m+4)[/tex]
[tex] \frac{2}{9} m - \frac{16}{9} = \frac{3}{3} m + \frac{4}{3} [/tex]
[tex] \frac{2}{9} m - m = \frac{4}{3} + \frac{16}{9} [/tex]
[tex] \frac{2}{9} m - \frac{9}{9} m = \frac{12}{9} + \frac{16}{9} [/tex]
[tex] \frac{2m - 9m}{9} = \frac{12 + 16}{ 9} [/tex]
[tex]2m - 9m = 12 + 16[/tex]
[tex] - 7m = 28[/tex]
[tex]m = \frac{28}{ - 7} [/tex]
[tex]m = - 4[/tex]
select all the factors of:
x^2+ 3x - 10
A) (x-5)
B) (x+2)
C) (x-2)
D) (x+5)
Answer:
c & d
Step-by-step explanation:
Factor x^2 + 3 x − 10 using the AC method
What Number is this 1 x 1010^100
Answer:
2.704814e+300
is what I got
The value of the given number 1 x 10¹⁰⁰ by applying the logarithms is equal to 100.
To find the number represented by 1 x 10¹⁰⁰ using logarithms, we can use the base-10 logarithm function.
The logarithm (base-10) of a number x is denoted as log(x) and represents the power to which 10 must be raised to get the number x.
Here, we have 1 x 10¹⁰⁰, and we want to find the value of x.
Using the logarithmic expression:
log(1 x 10¹⁰⁰) = log(1) + log(10¹⁰⁰)
The logarithm of 1 (log(1)) is equal to 0, so the expression simplifies to:
log(1 x 10¹⁰⁰) = 0 + log(10¹⁰⁰)
Now, using the property of logarithms, log(aᵇ) = b × log(a):
log(1 x 10¹⁰⁰) = 0 + 100 × log(10)
The logarithm of 10 (log(10)) is equal to 1, so:
log(1 x 10¹⁰⁰) = 0 + 100 × 1
Finally:
log(1 x 10¹⁰⁰) = 100
Therefore, the value of the number 1 x 10¹⁰⁰ using logarithms is 100.
learn more about logarithms here
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The given question is incomplete, I answer the question in general according to my knowledge:
What is the value of the number using logarithm 1 x 10^100?
What is the value of “y” in y = -3x if the value of ‘x’ is 2?
Answer:y=-6
Step-by-step explanation:
-3(2)
Nicole bought a meal in a town with a 9% sales tax. She tips 20% on the bill, and then adds the sales tax. What is the total cost of the meal if she orders a $15 menu item. How much was her meal?
Amount of tip she gave,
[tex]T = 15\times 0.20\\\\T =\$3[/tex]
Amount of tax given :
[tex]Tax=15\times 0.09\\\\Tax = \$1.35[/tex]
So, total amount she paid is :
Total = Actual cost + Tip + Tax
Total = $(15 + 3 + 1.35 )
Total = $19.35 .
Therefore, total amount she paid is $19.35 .
Hence, this is the required solution.
Please help me out with those questions...
Answer:
D
Step-by-step explanation:
Please help ASAP! Is angle BAD less than, greater than, or equal to 90 degrees? Explain why. What about angle BCD?
9514 1404 393
Answer:
∠BAD < 90°∠BCD > 90°Step-by-step explanation:
Angle BAD is an inscribed angle, so is half the measure of the arc it intercepts. Chord BD is on the far side of the circle's center from vertex A, so the arc intercepted by angle BAD is less than 180°. This means angle BAD is less than 180°/2 = 90°.
∠BAD < 90°
__
Angles BAD and BCD are supplementary, so if one is less than 90°, the other must be greater than 90°.
∠BCD > 90°
Answer: I would say that it is equal to.
Step-by-step explanation: The angle in the bottom corner of the triangle is a right angle if you measure it with a protractor.
The breadth and length of a rectangle are in the ratio 4:5 and its area is
32 sqm. What are the length and breadth?
Answer:
[tex]length=(\sqrt{40} )m,breadth=\frac{4\sqrt{40} }{5} m[/tex]
Step-by-step explanation:
So the ratio 4:5 relates the length and breadthNow the length is always longer that the breadth so 5 represents the length and 4 the breadthA ratio can be written as a fraction so [tex]4:5=\frac{4}{5}[/tex] Let [tex]l[/tex] mean length and [tex]b[/tex] breadth, so the ratio [tex]b:l=4:5,so,b:l=\frac{b}{l}=\frac{4}{5}[/tex] So if [tex]\frac{b}{l}=\frac{4}{5}[/tex] then multiply both sides by [tex]l[/tex] and you get [tex]b=\frac{4}{5} l[/tex] Now the equation for area is [tex]area=length*breadth[/tex] or [tex]A=l*b[/tex]Since our breadth [tex]b[/tex] equals [tex]\frac{4}{5} l[/tex] then we substitute for the breadthSo [tex]A=l*(\frac{4}{5}*l)=\frac{4}{5}*l*l=\frac{4}{5} l^2[/tex] so [tex]A=\frac{4l^{2}}{5}[/tex] We know the Area is [tex]32m^2[/tex] so [tex]32m^2=\frac{4l^{2}}{5}[/tex] so we simplify [tex]5*(32m^2)=5*(\frac{4*l^{2}}{5})\\ 160m^2=4*l^2\\ \frac{160m^{2}}{4}=\frac{4*l^{2}}{4} \\ 40m^2=l^2\\ l^2=40m^2\\ \sqrt{l^{2}} =\sqrt{40m^{2}} \\ l=(\sqrt{40})m[/tex] Now we find the breadth, since [tex]b=\frac{4}{5}*l \\ b=\frac{4}{5}*(\sqrt{40} )m\\ b=\frac{4\sqrt{40} }{5} m[/tex]Which function rule does the graph represent?
find the value of x
a major Fishing Company does its fishing in a local League the first year of the company's operation it managed to catch 190000 fish due to population decreases the number of fish the company was able to catch decreased by 8% each year how many total fish did the company catch over the first 12 years round to the nearest whole number
which one is a function
Answer:
I didn't know if you meant which one is a function, and which one isn't so I just went with what the picture said:
A) is not a function
Answer:
i get D, sorry if not i did it 3 times and i got D
can someone please help me with this problem will give me brainliest.
Answer: as a decimal 274877906944
Step-by-step explanation:
3. Consider the complex numbers z and w below. Find the difference z-
w and the product z.w.
z = (1 – 3i) and w = (-2 + 5i)
Answer:
see explanation
Step-by-step explanation:
z - w
= 1 - 3i - (- 2 + 5i) ← distribute parenthesis by - 1
= 1 - 3i + 2 - 5i ← collect like terms
= 3 - 8i
------------------------------------------------------------
z × w
= (1 - 3i)(- 2 + 5i) ← expand using FOIL
= - 2 + 5i + 6i - 15i² [ i² = - 1 ]
= - 2 + 11i + 15
= 13 + 11i
A boat was bought for $9500 and sold at a profit of 32%. What was the selling price ?
I'm giving branliest 2X - 3y = 12 in a standard and point slope form
Eric conducted a survey of the cars in four parking lots and wrote the following observations:
15 of the 36 cars in lot 1 were blue
43 of the 92 cars in lot 2 were blue
12 of the 30 cars in lot 3 were blue
32 of the 52 cars in lot 4 were blue
Based on the survey, which parking lot had the greatest percentage of blue cars?
Lot 1
Lot 2
Lot 3
Lot 4
LOT 4 its the answer
write the sum of 7√28x^6 + 4√7x^6
Answer: 21.97025026/250
Step-by-step explanation:
Solve the equation.
3(2w−7)=3
Answer:Simplifying
3(2w + -7) = 3
Reorder the terms:
3(-7 + 2w) = 3
(-7 * 3 + 2w * 3) = 3
(-21 + 6w) = 3
Solving
-21 + 6w = 3
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '21' to each side of the equation.
-21 + 21 + 6w = 3 + 21
Combine like terms: -21 + 21 = 0
0 + 6w = 3 + 21
6w = 3 + 21
Combine like terms: 3 + 21 = 24
6w = 24
Divide each side by '6'.
w = 4
Simplifying
w = 4
Step-by-step explanation:
AnswerAnswerAnswerAnswerAnswerAnswerAnswer
:) ·g o o d l u c k ·
When this polynomial is divided by (m+1), the remainder is 0. What is the value of the polynomial’s constant term?
-2m^3 + m^2 - m + ___?
A. -4
B. -3
C. 2
D. 4
Answer: it would be A. -4
Step-by-step explanation:
Got it right on the test
Option A is correct, the value of the polynomial's constant term is -4.
According to the remainder value theorem, if a polynomial is divided by (m+1) and the remainder is 0, it means that (m+1) is a factor of the polynomial.
The given polynomial is -2m³ + m² - m + ___
To find the constant term, we need to determine the value of the polynomial when m = -1 (since (m+1) = 0).
Substituting m = -1 into the polynomial, we get:
-2(-1)³ + (-1)² - (-1) + ___
Simplifying the expression, we have:
-2(-1) + 1 + 1 + ___
-(-2) + 1 + 1 + ___
2 + 1 + 1 + ___
4 + ___
Since the polynomial is divided by (m+1) and the remainder is 0, the constant term must be -4 to cancel out the 4 term and make the expression equal to zero.
Therefore, the value of the polynomial's constant term is -4.
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Which of the following would result in a rational number? **
Answer:
The answer is A. A+C because Rational numbers can be made by dividing two integers. integers are whole numbers a number that is not a fraction.
“Write five sentences about proportional relationships”
Answer:
Now, we’re going to consider an example of proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we’ll pay.
Step-by-step explanation:
hope this helps
Answer:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality". Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .") This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.
what is z- 4/4 +8 simplified?
Answer:
aw baby naw that not cool
Step-by-step explanation:
From the figure below, the coordinates for point z are:
HELP PLS
Answer:
(2a, 0)
Step-by-step explanation:
the distance from (a,0) and z from the origin and to each other is both 3. It’s in the middle of two points, there’s an equal distance between w to y and y to z. I hope that makes sense, so, to get the x coordinate multiply a by 2.
ALL 4 ways of displaying a relation.
Find the distance between the points given.
(-3,-6) and (3, 2)
4
752
10
Answer:
10
Step-by-step explanation:
You should get this answer if you use the distance formula! :)
A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket?
2a + 4c = 38.00
3a + 3c = 40.50
What values of a and c represent the solution to the system?
a = ____
c = ______
a 8
c 5.5
Answer:
Looks like you gave the answer already.
a = 8 and c = 5.5
Step-by-step explanation:
2a + 4c = 38.00 --> x3 --> 6a + 12c = 144
3a + 3c = 40.50 --> x2 --> 6a + 6c = 81
6c = 33
c = 5.5
a = 8
What is the product of the expression
(2+3i)(4-5i)
The distance (d) in miles that Cecil runs depends on the number of track practices (p) he attends. D = 2p + 3 i) Solvetheequation d=2p+3forp. ii) How many practices he has to attended to run 13 miles?
Answer: i) [tex]p=\dfrac{d-3}{2}[/tex]
ii) He has to attend 5 practices to run 13 miles.
Step-by-step explanation:
Given: The distance (d) in miles that Cecil runs depends on the number of track practices (p) he attends.
[tex]d=2p+3[/tex]
i) To solve for p . first subtract 3 from both sides , we get
[tex]d-3=2p[/tex]
Divide both sides by 2
[tex]\dfrac{d-3}{2}=p[/tex]
So. [tex]p=\dfrac{d-3}{2}[/tex]
ii) Put d= 13 , we get
[tex]p=\dfrac{13-3}{2}=\dfrac{10}{2}=5[/tex]
i.e. he has to attend 5 practices to run 13 miles.
As an estimation we are told 5 miles is 8 km.
Convert 96 km to miles.
Answer:
90km is equal 56.25 miles
Answer:
Around 60 miles.
Step-by-step explanation:
First I found that 1 mile was equivalent to around 1.6 km.
8/5=1.6
To find how many miles were equivalent to 96 km I did
96/1.6=60.
60 miles are equivalent to 96 km.
(If you used a km to miles converter it would say exactly 59.6516)