Answer: C. 13 meters
Step-by-step explanation:
5^2+12^2=x^2
25+144=x^2
169=x^2
√169=13
13=x
Hope it helps
Answer:
C. 13 meters
Step by step:
5^2+12^2=x^2
25+144=x^2
169=x^2
√169=13
13=x
What is ? 5(x+y)-3(x+y)
Answer:
2(x+y)
Step-by-step explanation:
Simple 5-3 with some added variables that don't change.
can you please help ?
Answer:
17
Step-by-step explanation:
Plot in the points for each variable to find the y-intercept.
1=-4(4)+c
1=-16+c
1+16=c
17=c
9=-4(2)+c
9=-8+c
9+8=c
17=c
Answer:
Step-by-step explanation:
Given:
2 Points
(4,1) and
(2,9)
Slope
m = (y2 - y1)/(x2 - x1)
y2 = 9
y1 = 1
x2 = 2
x1 = 4
m = (9 - 1) / (2 - 4)
m = 8 / - 2
m = - 4
y intercept
y = mx + b
y = -4x + b
Use (9, 1) to find the y intercept
1 = - 4*9 + b
1 = - 36 + b
b = 37
Answer
The equation is y = - 4x + 37
I need help with these two please help me!
Answer:
0.50
Step-by-step explanation:
Simply plug -2 in for x into the equation.
2(2^-2) = 0.50
Answer:
0.50
Step-by-step explanation:
Solve for x h(x)=−7x ; h(x)=63
Answer:
x = -9
Step-by-step explanation:
-7x = 63
Divide -7 into both sides.
-7x/-7 = 63/-7
x = 63/-7
x = -9
Put x as -9 in the function to check.
h(x) = -7x
h(-9) = -7(-9)
h(-9) = 63
Answer:
x = -9
Step-by-step explanation:
h(x)=−7x ; h(x)=63
Set the two equal
-7x = 63
Divide by -7
-7x/-7 = 63/-7
x = -9
What can you about the value of a if the equation y=ax^2-8 has no solutions? Plz explain!
Answer:
If a is negative or zero there are no real solutions
Step-by-step explanation:
y=ax^2-8
Set equal to zero to find the solution
0 =ax^2-8
Add 8 to each side
8 = ax^2
Divide by a a cannot be zero or we cannot divide by it
8/a = x^2
Take the square root of each side
sqrt(8/a) = sqrt(x^2)
We need 8/a to be positive for it to have real solutions
That means a has to be positive
If a is negative or zero there are no real solutions
NEED ANSWER ASAP In the diagram, the measure of angle 3 is 105°. Which angle must also measure 105°? Angle1 Angle4 Angle6 Angle8
Answer:
Angle 1
Step-by-step explanation:
Angle 3 and angle 1 are vertical angles. That means that whatever the measure of angle 3 is, angle 1 is also the same.
Antoine has a solid, spherical ball of clay with a radius of 5 cm. If he shapes it into a solid, cone–shaped figure with a radius of 2 cm, what will the height of the cone be?
Answer:
Step-by-step explanation:
We'll call height h.
The equations of a cone and sphere are:
Cones: 1/3 * base area * h
Spheres: 4/3 π * r³
The base area of a cone would be the area of a circle equation:
π * r² = π * 2² = 4π.
Because you're converting from sphere to cone, you would set their equations equal to each other.
1/3 * 4π * h = 4/3 π * 5³
Next, isolate h.
h = (4/3 π * 5³)/(1/3 * 4π)
h = 125
Hope this helps!
Answer:125
Step-by-step explanation:
What is the equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5)? Show all of your work. y = 2x + 17 y = 1/2x + 8 y = -2x - 7 y = -1/2x + 2
Answer:
y = -1/2x + 2
Step-by-step explanation:
If two lines are perpendicular then the product of their slopes are -1
m1*m2 = -1
where m1 amd m2 is slope of two lines.
_______________________________________
Given line
y = 2x-3\
it is in form of y = mx+c (slope intercept form)
where m is slope and c is y intercept
Thus, slope of line y = 2x-3 is 2
Now we know that product of two lines are -1
let m be slope of other line
then m*2 = -1
m = -1/2
thus, slope of required line is -1/2
let the line be y = mx+c but m = -1/2
thus
y = -1/2 x + c
given that point(-6,5) lies on it
we use -6 in plca of x and 5 in place of y
5 = -1/2 *-6 + c
=>5 = 3 +c
=> c = 5-3 = 2
Thus, equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5) is y = -1/2x + 2
the diagram shows a star made by surrounding a regular octagon with triangles, explain why angle a must be 135 degrees
Answer:
From the sum of angles on a straight line, given that the rotation of each triangle attached to the sides of the octagon is 45° as they move round the perimeter of the octagon, the angle a which is supplementary to the angle turned by the triangles must be 135 degrees
Step-by-step explanation:
Given that the triangles are eight in number we have;
1) (To simplify), we consider the five triangles on the left portion of the figure, starting from the bottom-most triangle which is inverted upside down
2) We note that to get to the topmost triangle which is upright , we count four triangles, which is four turns
3) Since the bottom-most triangle is upside down and the topmost triangle, we have made a turn of 180° to go from bottom to top
4) Therefore, the angle of each of the four turns we turned = 180°/4 = 45°
5) When we extend the side of the octagon that bounds the bottom-most triangle to the left to form a straight line, we see the 45° which is the angle formed between the base of the next triangle on the left and the straight line we drew
6) Knowing that the angles on a straight line sum to 180° we get interior angle in between the base of the next triangle on the left referred to above and the base of the bottom-most triangle as 180° - 45° = 135°.
The temperature at 3:00pm was 15 degrees. At midnight the temperature was -2 degrees. What is the difference between those two temperatures
Step-by-step explanation:
(-2)-(+15)=(-17)
the difference between those two temperature s is (-17)
The directed line segment from L to N has endpoints L(–6, 2) and N(5, –3). What are the x- and y-coordinates of point M, which partitions the directed line segment into the ratio 2:5?
Answer:
the answer is -6, 2
Step-by-step explanation:
Answer:
the answer is -6, 2
Step-by-step explanation:
Answer:
ANSWER
x = { - 20}{7}
y={ 4}{7}
Step-by-step explanation:
3:7 ratio what fraction does he get
Answer:
3/10
Step-by-step explanation:
Josh and Lucy share some money in the ratio 3:7.
3+7=10
The fraction Lucy gets is 7/10
The fraction Josh must get is 3/10.
A donut shop is experimenting with two new types of cream-filled treats, one with raspberry filling, and the other with peach. A batch of raspberry donuts cooks in 11 minutes while a batch of peach donuts cooks in only 8 minutes. Let x represent the number of raspberry-filled donuts and let y represent the number of peach-filled donuts. Write an inequality to represent how many batches of the new type of donuts can be produced in a 10 hour day. a. c. b. d.
Step-by-step explanation:
X= raspberry
X = 600 ÷ 11 = 54 batches
[ 60 minutes = 1 hour]
[600 minutes = 10 hours]
Y = peach
Y = 600 ÷ 8 = 75 batches
Answer:
its b
Step-by-step explanation:
it just is
HELP PLZZZZZZZZZZZZ!!!!!
Answer:
Option (1)
Step-by-step explanation:
''A perpendicular bisector makes 90° with the other line segment and divides the segment into two equal parts."
From the given picture,
If [tex]\overleftrightarrow{DE}[/tex] is a perpendicular bisector of [tex]\overline{AC}[/tex] following properties must be followed.
1). m(∠DBC) = m(∠DBA) = 90°
2). AB ≅ BC
Therefore, additional information we will require is AB ≅ BC
Option (1) will be the answer.
Please help me I've been stuck on this for a bit
Answer:
A=1.5 units²
Step-by-step explanation:
a²+b²=c²
2.5²+1.5²=c²
a²+2.25=6.25
a²=4.00
a=2
A=1/2 x b x h
A=1/2 x 1.5 x 2
A=1.5 units²
Answer:
1.5
Step-by-step explanation:
Use the pythagorean theorem. a^2+b^2=c^2. a and b are the legs, or the shorter sides of the triangle. If you don't know which ones are shorter, just know that c is opposite of the right angle which is 2.5 in this case. So c is 2.5 and a is 1.5. Now you plug the values into the equation
1.5^2+b^2=2.5^2
2.25+b^2= 6.25 .Simplify the equation
b^2= 4 .Subtract 2.25 from both sides.
b= 2. Square root both sides.
Based on the picture, a is the base and b is the height. The area of a triangle is 1/2(bh) .You already know the base and height you you plug it in again
1/2(1.5*2)= 1/2(3)= 1.5
can someone help me?
Really need help :( struggling
Answer:
B
Step-by-step explanation:
The original amount will be the coefficient of (1 + 0.04)^r which is $728.00.
Select the correct answer.
If the factors of quadratic function gare (x-7) and (x + 3), what are the zeros of function g?
O A
-7 and 3
-7 and -3
O C.
3 and 7
OD.
-3 and 7
Answer: -3 and 7
Step-by-step explanation:
x - 7
Add 7 to get 0
x - 7 ( + 7) = 0
x + 3
Subtract 3 to get 0
x + 3 ( - 3) = 0
A fair dice and unbaised coin are tossed once.what is the probability of obtaining 3 and a tail
Answer:
1/4 & 1/2
Step-by-step explanation:
4 sides to the dice
2 sides to coin
Answer:1/12
Step-by-step explanation:
The probability of getting a three on a fair die is 1/6
The probability of getting tails on an unbiased coin is 1/2
Then the probability of getting a three on a fair die and tails on an unbiased coin is 1/6 x1/2=1/12
Given the following number line, what number could be A if XY - ZA?
X
Y Z
-6
A. -5
B. -1
C. 5
D. 6
Answer:
C. 5
Step-by-step explanation:
XY= -1-(-5)= 4
ZA= A-1= 4 ⇒ A=1+4= 5
A=5
Square OABC is drawn on a centimetre grid. O is (0,0) A is (2,0) B is (2,2) C is (0,2) Write down how many invariant points there are on the perimeter of the square when OABC is rotated 90 degrees clockwise, centre (2,0).
Answer:
One invariant point;
Point A = (2, 0)
Step-by-step explanation:
The coordinates of the square vertices are;
O = (0, 0)
A = (2, 0)
B = (2, 2)
C = (0, 2)
Therefore, we have by 90° clockwise rotation;
O' = (2, 2)
A' = (2, 0)
B' = (4, 0)
C' = (2, 4)
Therefore, since only A' (2, 0) = A (2, 0), we have only one invariant point on the perimeter of the square when it is rotated 90° about the center (2, 0) which is the point A = (2, 0).
The Naturally Made Bath and Body store pays $550 a month for rent and utilities. The average cost for its products to be manufactured is about $3.00 an item. If the average price for a product sold in the store is $5.50, what will the break-even point be? Let x represent the number of products sold. The break-even point occurs when the cost function equals the revenue function. 550 + 3.00x = 5.50x Naturally Made needs to sell products to break even. The cost or revenue when it sells the break-even number of products will be $
Answer:
220 products need to be sold to break it even.
Step-by-step explanation:
550 + 3.00x = 5.50x
550 = 2.50x
220 = x
PLZZZZZZZZZ HLPPPPPPPP MEEEEEEEEEEE
which of the following is made up of one base and a vertex not in the same plane as the base? check all that apply
a. cone
b. prism
c. cylinder
d. pyramid
Answer:
a. cone. Since it's the only shape with one base and a vertex not on the same plane
The expression below is a sum of cubes.
64x3 + 125
O A. True
O B. False
Answer:
true it's A....
Answer:
A
Step-by-step explanation:
64x³ + 125
∛(64x³ + 125)
= 4x + 5
The expression is a sum of cubes.
Order The numbers from least to greatest
0.453, 0.35, 4/5
Answer:
Step-by-step explanation:
0.35
0.453
4/5
Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda?
Answer:
3 more square feet.
Step-by-step explanation:
x = The amount Melinda can shovel in 1 minute
y = The amount Paula can shovel in 1 minute
So make two equations:
30(x + y) = 450 x + y = 15 x = 15 - y
20x + 25y = 345 4x + 5y = 69
Plug in:
4(15 - y) + 5y = 69
60 - 4y + 5y = 69
y = 9
x = 6
9 - 6 = 3
Answer:
Answer is A
Step-by-step explanation:
Took it on Edg.
which words have vertical symmetry for all of the letters in the word?
Answer:
palindromes
Step-by-step explanation:
palindromes are spelled the same forward and backward, thus have vertical symmetry.
What is the inverse of the given function?
Answer: -7, -1, 5, -5
Step-by-step explanation:
In order to find the inverse, swap the x's and y's and solve for y.
[tex]y=\dfrac{5x+1}{-x+7}\\\\\\\underline{Swap\ the\ x's\ and\ y's}:\\x=\dfrac{5y+1}{-y+7}\\\\\\\underline{\text{Multiply both sides by -y+1 to clear the denominator}}:\\x(-y+7)=5y+1\\-xy+7x=5y+1\\\\\\\underline{\text{Add xy and subtract 1 from both sides}}:\\7x-1=xy+5y\\\\\\\underline{\text{Factor out the y from the right side}}:\\7x-1=y(x+5)\\\\\\\underline{\text{Divide x+5 from both sides}}:\\\dfrac{7x-1}{x+5}=y[/tex]
Since the boxes you need to fill in show -x in the denominator, multiply the equation by -1/-1:
[tex]y=\dfrac{-1}{-1}\bigg(\dfrac{7x+1}{x+5}\bigg)\\\\\\\large\boxed{f^{-1}(x)=\dfrac{-7x-1}{-x-5}\qquad for\ x \neq -5}[/tex]
The vertex form of a quadratic function is f(x) = a(x - 1)2 + k. What is the vertex of each function? Match the function
rule with the coordinates of its vertex.
f(x) = 9(x + 5)2 - 6
(6,9)
f(x) = 6(x + 9)2 - 5
(5,6)
f(x) = 9(x - 5)2 + 6
(-9.-5)
f(x) = 6(x - 5)2 - 9
U (-5,-6)
(5.-9)
f(x) = 5(x - 6) +9
Done
Intro
Answer:
f(x) = 9(x + 5)2 - 6 (-5,-6)
f(x) = 6(x + 9)2 - 5 (-9,-5)
f(x) = 9(x - 5)2 + 6 (5,6)
f(x) = 6(x - 5)2 - 9. (5,-9)
f(x) = 5(x - 6) +9. (6,9)
Step-by-step explanation:
To find the vertex: for the x-coordinate, take the "h" in the parentheses (x + h) and reverse its sign. For the y-coordinate, use the "k" term as-is.
The coordinates of the vertex of the equations are:
f(x) = 9(x + 5)^2 - 6; Vertex = (-5,-6)f(x) = 6(x + 9)^2 - 5; Vertex = (-9,-5)f(x) = 9(x - 5)2 + 6; Vertex =(5,6)f(x) = 6(x - 5)^2 - 9; Vertex = (5,-9)f(x) = 5(x - 6) +9; Vertex = (6,9)How to determine the vertex of the quadratic functions?The vertex form of the quadratic function is given as:
y = a(x -h)^2 + k
Where:
Vertex = (h,k)
Using the above highlight, the coordinates of the vertex of the equations would be:
f(x) = 9(x + 5)^2 - 6
Vertex = (-5,-6)
f(x) = 6(x + 9)^2 - 5
Vertex = (-9,-5)
f(x) = 9(x - 5)2 + 6
Vertex =(5,6)
f(x) = 6(x - 5)^2 - 9
Vertex = (5,-9)
f(x) = 5(x - 6) +9
Vertex = (6,9)
Read more about vertex quadratic functions at:
https://brainly.com/question/1480401
The profit ,P dollars, earned by students at a high school selling boxes of chocolates is approximated to be P= -60x^2+600x , where x dollars is the selling price of one box of chocolates. What selling price gives the maximum profit?
Answer:
Selling price of 5 gives the maximum profit
Step-by-step explanation:
What we do here is to find the first derivative, since at maximum points, the profit will be set to zero.
Mathematically, we have;
dp/dx = -120x + 600
We now equate this to zero
0 = -120x + 600
120x = 600
x = 600/120
x = 5