Using Pytharagos Thereom,
[tex]a^{2} + b^{2} =c^{2}[/tex]
36+64=100
[tex]\sqrt{100[/tex] = 10
the distance between the opposite corners is 10 inches
There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
Answer:
ANS=1/4Step-by-step explanation:
even after replacing the marble the probability will not chnge coz
formula is
favourable outcome/total outcome.hope it will help u.
Give the product in simplest form:
Answer:
5 15/48
Step-by-step explanation:
5 times 3 is 15, 8 times 6 is 56, and 5 times 1 is 5....you can not simplify 15/48 so the final answer is 5 15/48
which number is a zero of f(x) = 2x (x + 7) ( x-4)
Answer:
0, -7, 4
Step-by-step explanation:
Zeros of a function are values that make the function = 0
So, f(x) = 2x(x + 7)(x - 4) = 0
x = 0 or x + 7= 0 or x - 4 = 0
x = -7 x = 4
Note: If you were to graph f(x), the graph would intercept the x-axis at 0, -7, and 4
Can the sides of a triangle have lengths of 19,24 and 43? If so, what kind of triangle is it?
Answer:
Yes Isosceles Triangle
Step-by-step explanation:
Im not a 100% sure but they all add up to 84 so good luck
Three cell phones towers can be modeled by the points X(6,0), Y(8,4), and Z(3,9). Determine the location of another cell phone tower equidistant from the other three, and write an equation for the circle.
Answer:
The location of the new cell phone tower is [tex](h,k) = (3,4)[/tex], and the equation of the circle is [tex]x^{2}+y^{2} -6\cdot x - 8\cdot y = 0[/tex].
Step-by-step explanation:
The location of the cell phone tower coincides with the location of a circunference passing through the three cell phone towers. By Analytical Geometry, the equation of the circle is represented by the following general formula:
[tex]x^{2} + y^{2}+A\cdot x + B\cdot y +C = 0[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]A[/tex], [tex]B[/tex], [tex]C[/tex] - Circunference constants.
Given the number of variable, we need the location of three distinct points:
[tex](x_{1},y_{1}) = (6,0)[/tex]
[tex]36 +6\cdot A + C = 0[/tex]
[tex](x_{2},y_{2}) = (8,4)[/tex]
[tex]80 + 8\cdot A + 4\cdot B + C = 0[/tex]
[tex](x_{3},y_{3}) = (3,9)[/tex]
[tex]90 + 3\cdot A + 9\cdot B + C = 0[/tex]
Then, we have the following system of linear equations:
[tex]6\cdot A + C = -36[/tex] (2)
[tex]8\cdot A +4\cdot B + C = -80[/tex] (3)
[tex]3\cdot A + 9\cdot B + C = -90[/tex] (4)
The solution of this system is:
[tex]A = -6[/tex], [tex]B = -8[/tex], [tex]C = 0[/tex]
By comparing the general form with the standard form of the equation of the circunference is:
[tex]A = -2\cdot h[/tex] (5)
[tex]B = -2\cdot k[/tex] (6)
[tex]C = h^{2}+k^{2}-r^{2}[/tex] (7)
Where:
[tex]h[/tex], [tex]k[/tex] - Coordinates of the center of the circle.
[tex]r[/tex] - Radius of the circle.
If we know that [tex]A = -6[/tex], [tex]B = -8[/tex] and [tex]C = 0[/tex], then coordinates of the center of the circle and its radius are, respectively:
[tex]h = -\frac{A}{2}[/tex]
[tex]k = -\frac{B}{2}[/tex]
[tex]r = \sqrt{h^{2}+k^{2}-C}[/tex]
[tex]h = 3[/tex], [tex]k = 4[/tex], [tex]r = 5[/tex]
The location of the new cell phone tower is [tex](h,k) = (3,4)[/tex], and the equation of the circle is [tex]x^{2}+y^{2} -6\cdot x - 8\cdot y = 0[/tex].
A ball is thrown up in the air from 5 feet above the ground level. The ball reached a height of an additional 6 feet in approximately 4 seconds, and then came
down back to ground level in 5 more seconds. Which graph best represents the relationship between the height of the ball and the time?
Answer:it’s F
Step-by-step explanation:
It’s F
Ms. F needs you to walk her dogs Ella and Aries. She will pay you $10 for each time you take Ella and Aries out for a walk. The relationship between the money you make and the number of times you take the dogs out can be expressed as E = 10w, where E is your earnings and w is the amount of times you take Ella and Aries out. If you take the dogs out once every day for a week (7 days), how much money will you make?
Answer: $70/week
Step-by-step explanation:
E = 10w
w = 7 (1 time per day for 7 days = 7)
E = 10(7)
E = $70/week
70% of x is 63. Write an equation to find the value of x, and solve the equation. What is the value of x?
Answer:
70%of x = 63
70/100 × x = 63
x=63×100/70
x=90
Step-by-step explanation:
g(n) = 20(x+15) What is g(10)?
Answer:
500
Step-by-step explanation:
g (10) = 20(x+15)
= 20 (10+15)
= 20 (25)
= 500
What is the cubed root of 64 in exponential form?
[tex] \sqrt[3]{64} [/tex]
Answer:
Step-by-step explanation:
64^(1/3) in English it is 64 to the one third power
What is 3.00 - 2.50 explain your work
Answer:
0.5
Step-by-step explanation:
Subtract 2.5 from 3
6x-3=3x+12
solve for x
Answer:
the answer is x=5
Step-by-step explanation:
hoped I helped:)
Answer:
x = 5
Step-by-step explanation:
6(5) - 3 = 3(5) + 12
30 - 3 = 15 + 12
27 = 27
Someone help please
Step-by-step explanation:
T
[tex]t = \frac{pv}{nr} [/tex]
There are 10 marbles in a paper bag, 6 of which are red. The rest are blue. You play a game with your friend. If you draw a red marble, you win. If you draw a blue marble she wins. Is this a fair game?
if a rectangle has a area of 36x^3+24x^2-18x and the width is 6x what is the length
Answer:
[tex] lenght= 6 {x}^{2} + 4x - 3[/tex]
Step-by-step explanation:
[tex]lenght = \frac{area}{width} \\ \\ = \frac{36 {x}^{3} + 24 {x}^{2} - 18x }{6x} \\ \\ = \frac{6x(6 {x}^{2} + 4x - 3) }{6x} \\ \\ lenght= 6 {x}^{2} + 4x - 3[/tex]
Which expression is equivalent to the area of square A, in square inches?
A
10 in.
24 in.
(10)(24)
o
10(24)
Saun and Exit
Answer:
10^2+24^2
Step-by-step explanation:
got 100% on the quiz
Can someone plz help real quick?
Answer:
1 Cm - 3 Meters
Step-by-step explanation:
Just do 15 (meters) divided by 5 centimeters. 15 divided by 5 is 3.
7th grade math
plz help asap
the picture is attached
10 POINTS
Answer:
1. A, C, and E
2. 13.5
3. -3
4. $3.39
5. 9 1/4 miles
Step-by-step explanation:
quadrilateral MNPQ is reflected across the c axis then translated 2 units down to form quadrilateral MNPQ. which statement is correct regarding the pre imagine and it's image.
is it still the same shape and size ?
Answer:
yes it is the same shape and size
Step-by-step explanation:
DO,-2(x, y)(3, 5). The point (x, y) is (1, 3) (-3/2, -5/2) (-6, -10)
Answer: -6, -10.
The question is asking you to make the coordinates negative and then multiply the negative numbers by 2, thus, -6, -10.
The coordinate of (x, y) is (-3/2, -5/2) if the -2(x, y) → (3, 5) option second is correct.
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
We have:
-2(x, y) → (3, 5)
The coordinate (x, y) changes after multiplication by factor 2
New coordinate = (3, 5)
-2x = 3
x = -3/2
-2y = 5
y = -5/2
Thus, the coordinate of (x, y) is (-3/2, -5/2) if the -2(x, y) → (3, 5) option second is correct.
Learn more about the ordered double here:
https://brainly.com/question/10757890
#SPJ2
Solve the system of linear equations.
Check your solution, if possible.
2x + 3y = 5
2x + 3y = 7
Answer:
there is no solution, meaning the lines would be parallel
Step-by-step explanation:
i hope this helps :)
FUDGEE help pleasee
. Question Category: Solving Quadratic Equations by Factoring Select the correct answer. Find the solution(s) for x in the equation below. x^2 + 10x + 21 = 0 x = 3; x = -7 x = -3; x = -7 x = 3; x = 7 x = -3; x = 7
Answer:
x= -7 and x= -3
Step-by-step explanation:
(x+7)(x+3)=0 (Think about the numbers that will add to 10 and multiply to 21)
x= -7 and x= -3
Answer:
x = −3 or x = −7
Step-by-step explanation:
Let's solve your equation step-by-step.
x^2 + 10x + 21 = 0
Step 1: Factor left side of equation.
(x+3) (x+7) = 0
Step 2: Set factors equal to 0.
x + 3 = 0 or x + 7 = 0
x = −3 or x = −7
I hope this helps you with your assignment and have a fantastic day! :D
Identify The missing angle
Can you show ur work how u did it?
Answer:
x = 38°
Step-by-step explanation:
in the given question,
the two angles are complementary, because sum of their measures = 90°
so,
=》52° + x = 90°
=》x = 90° - 52°
=》x = 38°
Answer:
x = 38
Step-by-step explanation:
I first took the measure of a right angle (90 degrees) Then, I subtracted 52 degrees from 90. After that I added 52 and 38 to check. The answer was 38.
what is the slope....
Answer: 2
Step-by-step explanation:
Choose left most point
count up to the horizontal line where the 2nd point is-- up 4
count over to the point -- right 2
slope is rise/ run
4/2 = 2
Someone help me ASAP I really need this
Answer: reflection
Translation
Rotation
Rotation
Step-by-step explanation:
Option A
Option B
Option C
Option D
Answer:
It's B
... because if you evaluate it it'll be 9x - 6xy, and 2xy + 2x^2
-6xy and 2xy are like terms
find an ordered pair of 5x + y = 3
Answer:
Step-by-step explanation:
Find an ordered pair that satisfies the equation 5x + y = 3.
There are infinitely many ordered pairs that satisfy this equation.
If we were to choose y = 0, then 5x = 3, and x = 3/5, leading to the ordered pair (3/5, 0).
If we were to choose x = 1, then 5(1) + y = 3, or y = -2. The ordered pair would be (1, -2).
And so on.
4x^2+9x+10+3x^2+7x+2
Answer:
7x2+16x+12
Step-by-step explanation:
=4x2+9x+10+3x2+7x+2
=(4x2+3x2)+(9x+7x)+(10+2)
=7x2+16x+12
Explain what the (0,0) represents in the table.
Answer:
0,0
Step-by-step explanation:
0,0 on a graph would represent the origin.
Can someone help me pls :(
Answer:
30x-10
Step-by-step explanation:
6(5x−2)+2
Distribute:
=(6)(5x)+(6)(−2)+2
=30x+−12+2
Combine Like Terms:
=30x+−12+2
=(30x)+(−12+2)
=30x+−10
Answer:
=30x−10