The line y=15x Intersex the quadratic function y=15x^2 at two points. what are the coordinates of the two points of intersection?
Answer:
D
Step-by-step explanation:
we can set up the equation as 15x = 15x^2
factoring we get
15x(x-1) = 0
So the solutions are when x are 0 and 1
this gives the coordinates
(0,0) and (1,15)
The diameter of a circle is 5ft. Find the circumference to the nearest tenth
Answer:
Answer is 16 ft.
The answer is rounded to the nearest tenth place.
Step-by-step explanation:
[tex]given \: that \: \\ diameter \: of \: circle \: = 5 \: ft \\ then \: radius \: = \frac{5}{2} \: ft \\ we \: know \: that \\ circumferece = 2\pi \: r \\ on \: substiuting \: r= \frac{5}{2} \: ft \ \\ in \: formula \\ circumferece = 2\pi \times \frac{5}{2} \\ = 5\pi \\ substiuting \: \pi = 3.14 \\ = 5(3.14) \\ = 15.7079 \\ = 15.708 \\ when \: it \: is \: rounded \: off \: to \: nearest \: tenth \\ we \: get \: 16 \: ft\: as \: the \: answer.[/tex]
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The circumference of the circle having a diameter of 5 ft will be 15.7 ft.
What is circumference?
The easiest way to find the perimeter for any shape is to add up the lengths of all the sides, but a circle only has one side, so that isn't possible. If you don't know its circumference, you also don't know the length of that side.
Fortunately, we can use a formula that uses other properties of a circle to find its circumference. In fact, there are two different formulas for circumference we can use and they look like this:
C = 2πr
Here the diameter of the giver circle is 5 ft so the radii will be 2.5 ft
By putting the value of radius in the formula we get
[tex]C=2\pi r[/tex]
[tex]C=2\pi \times 2.5=15.7\ ft[/tex]
Hence the circumference of the circle having a diameter of 5 ft will be 15.7 ft.
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A car salesman recorded the number of people who purchased a new car and the car's color. He then created the following bar graph:
Which of the following statements best compares the heights of the bars of the bar graph?
There are more people who purchased a red car than white and black cars combined.
There are more people who purchased a silver car than white and black cars combined.
There are twice as many people who purchased a red car than a black car.
There are 3 times as many people who purchased a black car than a silver car.
Answer:
There are twice as many people who purchased a red car than a black car.
The initial point of a⃗ is (−2,4), and its terminal point is (−5,−2). What is the value of ‖a⃗ ‖? Give your answer as a simplified radical.
Answer:
[tex]3\sqrt{5}.[/tex]
Step-by-step explanation:
It is given that the initial point of [tex]\vec{a}[/tex] is (-2,4) and terminal point is (-5,-2). So, [tex]\vec{a}[/tex] is defined as
[tex]\vec{a}=(-5-(-2))\hat{i}+(-2-4)\hat{j}[/tex]
[tex]\vec{a}=(-5+2)\hat{i}+(-2-4)\hat{j}[/tex]
[tex]\vec{a}=-3\hat{i}-6\hat{j}[/tex]
The magnitude of [tex]\vec{v}=a\hat{i}+b\hat{j}[/tex] is
[tex]|\vec{v}|=\sqrt{a^2+b^2}[/tex]
The magnitude of [tex]\vec{a}[/tex] is
[tex]|\vec{a}|=\sqrt{(-3)^2+(-6)^2}[/tex]
[tex]|\vec{a}|=\sqrt{9+36}[/tex]
[tex]|\vec{a}|=\sqrt{45}[/tex]
[tex]|\vec{a}|=3\sqrt{5}[/tex]
Modulus of magnitude is
[tex]||\vec{a}||=|3\sqrt{5}|=3\sqrt{5}[/tex]
So, the magnitude of [tex]\vec{a}[/tex] is [tex]3\sqrt{5}.[/tex]
Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
x=36
Step-by-step explanation:
3x+2x=180 (because they're supplementary angles)
5x=180
x=36
One number is six times another number. Their difference is 35. What are the two numbers?
Answer:
The numbers are 7 and 42
Step-by-step explanation:
Let x and y be the numbers
x = 6y
x-y = 35
Substitute the first equation into the second equation
6y -y = 35
Combine like terms
5y = 35
Divide by 5
5y/5 = 35/5
y = 7
Now find x
x = 6*y
x = 6*7
x = 42
Answer:
The two numbers are 42 and 7.
Step-by-step explanation:
6x-x=35
5x=35
x=7
6(7)=42
7=7
Write the equation of the line passing through the points (10, 50) and (25, 20).
To write the equation, we need the slope and y-intercept.
Remember that slope is the same as rate of change
or the change in y over the change in x.
Start by setting up a table with x and y values
which I have provided below.
Filling out our table, our given points are (10, 50) and (25, 20).
In the y column, we can see that the value of y
goes from 50 to 20 so it decreases by -30.
This means that the change in y is -30.
In the x column, we can see that the value of x goes from 10 to 25
so it increases by 15 which means that the change in x is 15.
So the rate of change is -30/15 which simplifies to -2.
To find b, we can use any ordered pair
in our table as the values for x and y.
Let's use the first ordered pair.
So we have 50 = -2(10) + b.
Solving from here, we get 50 = -20 + b.
Now add 20 to both sides to get 70 = b.
So if our slope is -2 and our y-intercept is 70,
we can substitute these values into our formula.
This gives us y = -2x + 70.
Find the length of the hypotenuse in each right triangle. Round to the nearest tenth, if necessary
12.1 ft
14.7 ft
245 ft
15.7 ft
I REALLY NEED HELP PLEASE!!
Answer:
To me the triangles in #6 appear to be the same shape as the first triangle in #7(EFG) with different lengths on the sides. But not much else is the same. I mean they are all triangles but the shape of the second triangle in #7(XYZ) isn't the same as either of the triangles in #6.
I hope that made sense to you!
Hope this helped! Have a great day! :)
I will give the brainiest answer
Answer:
The answer is option (B).
The perimeter of the scalene triangle is 54.6 cm.
A scalene triangle where all sides are different lengths. The base of the triangle, labeled 3 a, is three times that of the shortest side, a. The other side is labeled b.
Which equation can be used to find the value of b if side a measures 8.7 cm?
8.7 plus b equals 54.6
17.4 plus b equals 54.6
26.1 plus b equals 54.6
34.8 plus b equals 54.6
Answer:
8.7 plus b equals 54.6
Step-by-step explanation:
4(8.7) + b = 54.6.
b = 19.8 cm.
The sum of the sides = the perimeter = 3a + a + b = 54.6.
Now a = 8.7, so:
3(8.7) + 8.7 + b = 54.6
4(8.7) + b = 54.6.
b = 54.6 - 4(8.7)
b = 19.8.
Answer: D.) 34.8 + b = 54.6
Step-by-step explanation: i hope this helps :)
If xy>0, then the points of P(x,y) lies...
Answer:
In Quadrant I or III
Step-by-step explanation:
We know if the sign was not showing closed inequality facing other way
xy < 0 would be in the 2nd or 4th quadrant.
If xy = 0 then either xy or both are on the x or y axis
But if xy>0 then they are in quadrant I or III
If xy>0, then the points of P(x,y) lies in Quadrant I and III
Quadrants on the Cartesian planeAccording to the given condition;
xy > 0This means that the product of x and y is a positive number.
Hence, either both x and y-coordinates are positive or are both negative
Hence, only points in the Quadrant I have positive x and y coordinates Or Quadrant III in which case all x and y values are negative.
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Help ASAp will give brainliest!!!!!!!
Answer:
x = 51
Step-by-step explanation:
2x + 4 + x + 23 = 180
3x + 27 = 180
3x = 153
x = 51
Answer:
Step-by-step explanation:
Because the lines are intersecting they are equal to 180. Therefore...
(x+23) + (2x+4) = 180
3x + 27 = 180
3x = 153
x = 51
Which is the graph of y?
Replace x with a number and solve for y. Plot the points out on a graph.
See the attached picture.
Rotate the image.
help please, what is sum of the geometric series E6(4)k-1
Answer:
2,046Step-by-step explanation:
[tex]\sum\limits_{k=1}^{5}6\left(4\right)^{k-1}=6\left(4\right)^{1-1}+6\left(4\right)^{2-1}+6\left(4\right)^{3-1}+6\left(4\right)^{4-1}+6\left(4\right)^{5-1}=\\\\\\=6\cdot4^0+6\cdot4^1+6\cdot4^2+6\cdot4^3+6\cdot4^4=6+24+96+384+1536=\\\\=2,046[/tex]
or:
is geometric series: [tex]S_n=\dfrac{a_1(1-q^n)}{1-q}[/tex]
[tex]a_n=a_1\cdot q^{n-1}\quad\implies\quad\begin{cases}a_1=6\\q=4\\n=5\end{cases}[/tex]
so:
[tex]\sum\limits_{k=1}^{5}6\left(4\right)^{k-1}=S_5=\dfrac{6(1-4^5)}{1-4}=\dfrac{6(1-1,024)}{-3}=-2(-1,023)=2,046[/tex]
Answer:
B
Step-by-step explanation:
Edge2021
let z - 2 be an odd integer, is z+1 odd or even? explain
Answer:
Even
Step-by-step explanation:
If z-2 is an odd integer, that means z itself is an odd integer because very other integer is odd. Next, an odd integer + 1 is always an even integer. Therefore, z + 1 is an even integer.
If f(x) = 2(x)2 + 5 /(x+2)
Answer:
7.07
Step-by-step explanation:
f(x) = 2(x)^2 + 5 sqrt(x+2)
Let x= 0
f(x) = 2(0)^2 + 5 sqrt(0+2)
= 2*0 + 5 sqrt(2)
= 0 + 5 sqrt(2)
= 5 sqrt(2)
= 7.07106
To the nearest hundredth
= 7.07
jose runs 3 mikes in 28 minutes. At the same rate, how many miles would he run in 42 minutes?
Answer:
[tex]4.5 \: miles[/tex]
Step-by-step explanation:
[tex]3 \: miles \: in \: 28 \: minutes.[/tex]
[tex]x \: miles \: in \: 42 \: minutes.[/tex]
[tex]28x=42 \times 3[/tex]
[tex]28x=126[/tex]
[tex]\frac{28x}{28}=\frac{126}{28}[/tex]
[tex]x=\frac{9}{2}[/tex]
Answer:
[tex]4.5 \: \: miles \\ [/tex]
Step-by-step explanation:
[tex]3 \: \: miles = 28 \: \: min \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: x \: \: \: = 42 \: min[/tex]
use cross multiplication
[tex]42 \times 3 = 28 \times x \\ 12 6 = 28x \\ \frac{126}{28} = \frac{28x}{28} \\ x = 4.5 \: \: miles[/tex]
Which value for x makes the sentence true?
3/4x + 4 += 7
Find the area of the trapezoid.
Answer:
40cm^2
Step-by-step explanation:
A=a+b/2×h
A=6+10/2*5
A=16cm/2*5cm
A=8cm*5cm
A=40cm^2
Find two consecutive whole numbers that square root 58 lies between.
Answer:
7 and 8
Step-by-step explanation:
the square root is 7.6
so it lies between 7 and 8
Two whole numbers that lie between √58 are 7 & 8
What are whole numbers?Whole numbers are a set of numbers including all natural numbers and 0. They are a part of real numbers that do not include fractions, decimals, or negative numbers. Counting numbers are also considered as whole numbers.
Given here, √58 =7.6517
Thus two whole numbers that are consecutive and √58 lies in between these two numbers are 7 & 8
Hence, Two whole numbers that lie between √58 are 7 & 8
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The bowl of a circular birdbath has an inside diameter of 18 inches, as shown in the drawing belon.
When the bowl of the birdbath is full, which of the following is the closest to the area of the top surface of the water? Use 3.14 for 1.
1017 square inches
254 square inches
113 square inches
57 square inches
Help plsss
Answer:
254 square inches
Step-by-step explanation:
A=pi*r^2
A=pi*(d/2)^2
A=3.14*(18/2)^2
A=3.14*(9)^2
A=3.14*81
A=254.34 in^2
So, rounded no the nearest whole, the answer is 254 in^2
Which is option 2 or B
Solve the equation.
r^4/7=16
Answer:
use the indices formula
During 14 spins, a spinner landed on blue 4 times. If you spin the spinner once, what is the experimental probability that it will land on blue?
Answer:
2/7
Step-by-step explanation:
Since 4 out of 14 times it landed on blue, it must have a 4/14 experimental probability of 4/14 for landing on blue. 4/14 simplifies to 2/7.
Q. Write the slope-intercept form of the equation of a line using the given graph.
Please don't troll, and actually answer the question. If joking around; will get reported. First person to answer this APPROPRIATELY will get brainliest. Again, if playing around, that person will get reported.
Answer:
$350 (profit)
Step-by-step explanation:
add the expenses together and subtract the product from the revenue
9,000 + 200 = 9,200
9,550 - 9,200 = 350
Identify the parent function that can be used to graph the function f(x)=-6[1/2x+3]+2/3
Answer:
B
Step-by-step explanation:
Please help me with this I will really appreciate it thank you! It’s geometry
Answer:
150 degrees
Step-by-step explanation:
90+30=120.
Since angle afc is bisected by line bf, that means that the angles formed equal each other. Since the total angle measurement is 180 degrees, we do 180-120=60. 60/2=30. 120+30=150 degrees.
2. Janice is buying paint to paint her new apartment. The store sells paint in one-gallon cans. How accurate does her estimate
need to be for the amount of paint needed?
Answer:
its 60-10+x why, because she bought the dress with $60 and she received $10 dollars back. We don't know the variable.
Which of the following points is the greatest distance from the origin?
(1,6)
(2,6)
(4,5)
(5,1)
The point which is farthest from the origin is required.
The point which is the greatest distance from the origin is [tex](4,5)[/tex]
Distance from originThe distance of a point from origin is given by
[tex]d=\sqrt{x^2+y^2}[/tex]
[tex](1,6)[/tex]
[tex]d=\sqrt{1^2+6^2}\\\Rightarrow d=\sqrt{37}\ \text{units}[/tex]
[tex](2,6)[/tex]
[tex]d=\sqrt{2^2+6^2}\\\Rightarrow d=\sqrt{40}\ \text{units}[/tex]
[tex](4,5)[/tex]
[tex]d=\sqrt{4^2+5^2}\\\Rightarrow d=\sqrt{41}\ \text{units}[/tex]
[tex](5,1)[/tex]
[tex]d=\sqrt{5^2+1^2}\\\Rightarrow d=\sqrt{26}\ \text{units}[/tex]
The largest number is [tex]\sqrt{41}[/tex]
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