Answer:
x = 6
Step-by-step explanation:
Segment representing 2x - 1 is the mid segment of the given triangle.
Therefore, by mid segment theorem:
2(2x - 3) = 18
2x - 3 = 18/2
2x - 3 = 9
2x = 9 + 3
2x = 12
x = 12/2
x = 6
Answer:
x = 6
Step-by-step explanation:
D is the mid-point of AB (given)
E is the mid-point of AC (given)
Therefore, by mid-point theorem,
DE = 1/2 BC
=> 2x - 3 = 1/2 × 18
=> 2x - 3 = 9
=> 2x = 12
=> x = 6
Hope it helps :)
Please mark my answer as the brainliest
A coffee can in the shape of a cylinder has a Volume of V = 67.57 in. Find the forumla that gives the radius of the coffee can, r, in terms of the volume V and height h. If the height is 7.5 inches, what is the radius of the coffee can?
Answer:
r = sq rt [v/(h x Pi)]
r = 1.69
Step-by-step explanation:
v=h x Pi x r^2
r^2 = v/(h x Pi)
r = sq rt [v/(h x Pi)]
r = sq rt [67.57 / (7.5 x 3.14)]
r = sq rt 2.8692
r = 1.69
14. What is the value of (15^4)^2/ 15^8
Answer:
1 is the answer to your question mate
NEED HELP ASAP PLS PLS PLS 30 POINTS PLSSS
it’s algebra 2
Answer:
if the ratio is 7/10 then do 10/400 and it will be 28 days
Step-by-step explanation:
Pleasee helpp answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
x = 67º
Step-by-step explanation:
the sum of two angles on the same side = 180º so
x + 113º = 180º subtract 113º from both sides
x = 67º
A class has a ratio of 1: 2 girls to boys. A class has a ratio of 1: 2 girls to boys.
a) What fraction are girls?
b) What fraction are boys?
c) If there are 10 girls in the class, how many boys are there
Answer:
Attached
Step-by-step explanation:
Use the GCF and the Distributive Property to find the sum.
14 +21
Answer:
35
Step-by-step explanation:
14+21=7(2+3)=7(5)=35
Answer:
14+21= 35
Step-by-step explanation:
PLZ HELP ME:Evaluate: What is the value of the expression -5(3 + 4)?
Answer:
-35
Step-by-step explanation:
PEMDAS
Answer:
-35
Step-by-step explanation:
PEMDAS
solve for 3+4=7
-5*7=-35
Can someone please help me on this
Answer: y=2
Step-by-step explanation: 2 is the y intercept and the slope is 0
1. Find the factored form of f(x) given it has x-intercepts (-3,0) and (4,0) and f(1)= -6. 2. Find the equation for f(x) given that it has roots of 2 and -3 and f(0)=12. Please someone help
Answer:
1) f(x) = 0.5*(x + 3)*(x - 4)
2) f(x) = -2*x^2 - 2*x + 12
Step-by-step explanation:
Wen we have a quadratic function like:
f(x) = a*x^2 + b*x + c*x
And it has roots at x1 and x2, we can write the function in the factored form as:
f(x) = a*(x - x1)*(x - x2)
then:
1) we have x-intercepts at: (-3, 0) and (4, 0) (then the roots of this function are x = -3 and x =4) and we know that f(1) = -6
we have:
x1 = -3
x2 = 4
then we can write f(x) as:
f(x) = a*(x - (-3))*(x - 4)
f(x) = a*(x + 3)*(x - 4)
Where a is a real number.
and now we can use the fact that f(1) = -6
then:
f(1) = a*(1 + 3)*(1 - 4) = -6
a*4*(-3) = -6
a*-12 = -6
a = -6/-12 = 1/2 = 0.5
Then the function is:
f(x) = 0.5*(x + 3)*(x - 4)
2) Now we have roots x = 2 and x = .3
Then:
x1 = 2
x2 = -3
Then this function is something like:
f(x) = a*(x - 2)*(x - (-3))
f(x) = a*(x - 2)*(x + 3)
Now we know that f(0) = 12.
then:
f(0) = a*(0 - 2)*(0 + 3) = 12
a*(-2)*3 = 12
a*(-6) = 12
a = 12/-6 = -2
f(x) = -2*(x - 2)*(x + 3)
And we do not want this one written in factored form, so we can just distribute the multiplications to et:
f(x) = -2*(x - 2)*(x + 3) = (-2*x + 4)*(x + 3) = -2*x^2 + 4*x - 6*x + 12
f(x) = -2*x^2 - 2*x + 12
If the sum of two numbers is 5 and their product is 6 then find the sum of the square of the numbers ?
PLEASE HELPPPPP........
Answer:
The numbers are 2 and 3. 2^2+3^2=4+9=13
Step-by-step explanation:
Answer:
13 is your answer.
let two no. be x and y
by question
x+y=5
x=5-y...........(1)
xy=6.............(2)
putting the value of x in equation 2) we get
(5-y)y=6
5y-y²=6
y²-5y+6=0
y²-3y-2y+6=0
y(y-3)-2(y-3)=0
(y-3)(y-2)=0
either
y=3
or
y=2
putting the value of y in equation 1
when y=3
x=5-3=2
when
y=2
x=5-2=3
now
when
x=3 y=2
the sum of the square of the numbers=x²+y²=3²+2²=9+4=13
How do you divide -15/-5
Answer:
3
Step-by-step explanation:
When you divide two negative numbers, the answer is positive. Since - 15 and -5 are both negative, the answer will have to be positive. Divide 15/5 (just as you would with postive numbers) to get 3 and don't do anything else. The answer has to be 3 because 3 * - 5 = -15 (the opposite of division is multiplication).
Other division rules:
Dividing positive number by a positive number: Answer will be positiveDividing a positive number by a negative number: Answer will be negativeDividing a negative number by a positive number: Answer will be negativeDividing a negative number by a negative number: Answer will be positivei need help with this
Answer:
His car is slowing down.
Step-by-step explanation:
During section C, the car decreased in speed (the slope is negative). This is the definition of 'slowing down', hence the answer.
Answer:
C. His car is slowing down.
Step-by-step explanation:
The slope is going downwards, so this means that he is going slower.
How do you simplify-2-8
Answer:
-10
Step-by-step explanation:
find the following square by using the identities
[tex](2xy + 5y) {?}^{2} [/tex]
Answer:
4x²y² + 20xy² + 25y²
Step-by-step explanation:
(a + b)² = a² + 2ab + b²
a = 2xy ; b = 5y
(2xy +5y)² = (2xy)² + 2*(2xy) * (5y) +(5y)²
= 2²x²y² + 2* 2* 5 * x*y*y + 5²*y²
=4x²y² + 20xy² + 25y²
3x-(2x+4)+5 what is the answer
Answer:
I LOVE ALGEBRA anyways
the ans is in the picture with the steps on how i got it
(hope that helped can i plz have brainlist it will make my day)
Step-by-step explanation:
Answer: x + 1
I did it in my head so i dont know the steps
Radius of the circle is 20cm. there are two chords of lengths.
32cm, what will be the dis-
tance of these chords from
the centre of the circle?
9514 1404 393
Answer:
12 cm
Step-by-step explanation:
The distance to the chord is the median of an isosceles right triangle with hypotenuse 20 and leg 16. This 5:4 ratio suggests the other leg of that right triangle would make the ratios 3 : 4 : 5, so is 12.
The chords are 12 cm from the center.
_____
You can, of course, use the Pythagorean theorem. If c is half the chord length and d is the distance to the chord, you have ...
c² + d² = r²
16² + d² = 20²
d² = 400 -256 = 144
d = √144 = 12 . . . . . cm
The product of c and 8 is greater than or equal to - 16.
HELPPPPP
(d) Find the value of k so that kx + 5y = 10 makes an angle of 30° with y-axis.
Answer: k = -8.66
Step-by-step explanation:
We have the equation:
k*x + 5*y = 10
First, let's rewrite this as a line in the slope-intercept form:
5*y = 10 - k*x
y = 10/5 - (k/5)*x
y = -(k/5)*x + 2
Now, we want to make an angle of 30° with respect to the y-axis.
Then we can think on a triangle rectangle, where we know one angle of 30°, the adjacent cathetus will be equal to the difference between the y-component and the y-intercept, and the opposite cathetus will be equal to the x-component.
To get this, we first need to evaluate the function in one given point, let's use x = 5. (we could use any value of x here, i use 5 because it is easier)
y = -(k/5)*5 + 2
y = -k + 2
then the cathetus of our triangle will be:
adjacent cathetus: (y - 2) = (-k + 2 - 2) = -k
opposite cathetus: x = 5.
Now we know the relation:
Tan(a) = (opposite cathetus)/(adjacent cathetus)
where a = 30°
Then:
Tan(30°) = 5/(-k)
-k = 5/tan(0.577) = 8.66
k = -8.66
This is the value of k that we wanted to find.
If the area of a square with side x is equal to the area of a triangle with base x, then find the altitude of the triangle.
Answer:
[tex]h= 2x[/tex]
Step-by-step explanation:
Given
Square
[tex]Side = x[/tex]
Triangle
[tex]Base = x[/tex]
[tex]Altitude = h[/tex]
Required
Find h, if both shapes have the same area
The area of the square is:
[tex]Area = x * x[/tex]
[tex]Area = x^2[/tex]
The area of the triangle is:
[tex]Area = \frac{1}{2} * Base*Height[/tex]
[tex]Area = \frac{1}{2} * x*h[/tex]
Equate both areas
[tex]x^2 = \frac{1}{2} * x*h[/tex]
Divide both sides by x
[tex]x = \frac{1}{2} *h[/tex]
Multiply both sides by 2
[tex]2*x = \frac{1}{2} *h*2[/tex]
[tex]2x = h[/tex]
[tex]h= 2x[/tex]
What is
[tex]({ - 2})^{3} [/tex]
Will it be positive or negative? Why?
Expand the expression 3(7 + x)
Answer:
3x + 21 or 21 + 3x
Step-by-step explanation:
Remark
This is an example of the distributive property. Of all the fundamental rules used in solving equations, this is likely the most important, at least at beginning levels.
Solution
What this is saying is two things.
1. you must multiply both terms on either side of the + sign by the factor outside the brackets.
2. You must not destroy a plus (or minus) sign unless the two terms inside the brackets are exactly the same.
3(7 + x) The terms are not the same, so your answer must have a plus sign
Left side of the plus: 3*7
Right side of the plus: 3 * x
The answer then is 21 + 3x
It is more commonly written as 3x + 21
CAN SOMEONE HELP MEEE PLEASEE!!
Answer:
D.6h+18
Step-by-step explanation:
P and Q are points on the line 4x + 2y = 8
a) Complete the coordinates of P and Q.
P(o,) QC ,0)
8
7 케
6
b) Plot points P and Q on the graph.
Use the tool to plot the coordinates.
5 4
92
c) Draw the line 4x + 2y = 8 for values
of x from -2 to 3.
2
1
-3 -2 -1o
Answer:
Step-by-step explanation:
p=4
Q=2
plot an x onto the 4 on th y line and a 2 on the x line
then draw a horizontal line with the ruler provided through 4 and 2
hope it helps :)
The solution to the equations are
a) The coordinates of point P is P ( 0 , 4 ) and Q is Q ( 2 , 0 )
b) The graph is plotted with points P and Q
c) The equation of line is 4x + 2y = 8
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
4x + 2y = 8 be equation (1)
Now , the coordinates of the point P = P ( 0 , y )
The coordinates of the point Q = Q ( x , 0 )
Substituting the values in the equation , we get
when x = 0
4 ( 0 ) + 2y = 8
2y = 8
y = 4
So , the coordinates of the point P = P ( 0 , 4 )
when y = 0
4x + 2 ( 0 ) = 8
4x = 8
x = 2
So , the coordinates of the point Q = Q ( 2 , 0 )
Now , the equation of line is 4x + 2y = 8
when x = { -2 , -1 , 0 , 1 , 2 , 3 }
The values of y are y = { 8 , 6 , 4 , 2 , 0 }
So, the line is plotted in the graph
Hence , the equation of line is 4x + 2y = 8
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ5
Show the solution for a two square room have a total floor area of 89m rise to power 2 one room is 3mlonger each way than the other find the dimensions of the two rooms
Answer:
side length of the smaller room = 5 m
Side length of the larger room = 8 m
Step-by-step explanation:
Total area of two square room = 89 m²
Area of a square = side²
Let
x = side of the smaller square
x + 3 = side of the longer square
Total area = area of room A + Area of room B
89 = x² + (x + 3)²
89 = x² + x² + 6x + 9
89 - 9 = 2x² + 6x
2x² + 6x = 80
2x² + 6x - 80 = 0
Divide through by 2
x² + 3x - 40 = 0
Solve quadratic equation using factorization method
x² + 8x - 5x - 40 = 0
x(x + 8) -5(x + 8) = 0
(x - 5) (x + 8) = 0
(x - 5) = 0 (x + 8) = 0
x = 5 x = -8
The side length of a square room can not be a negative value
Therefore, side length of the smaller room = 5 m
Side length of the larger room = 5 + 3
= 8 m
how do i calculate the range? {mean, median, mode, range} pls help ASAP
Also, can you tell me in the comments how to delete an answer or remove it?
Answer:
The anwer is below.
Step-by-step explanation:
To calculate mean a.k.a average of something is when you add all of the numbers in the set and then multiply by the number of numbers there were.
an example : 4, 5,6,7 = 4+ 5 + 6 + 7 + 3 = 25 divided by 5 ( the number of numbers there were ) which is 5 so the mean is 5
To calculate the median you have to organize the set of numbers from least to greatest choose the middle number and that's the median, If there is an even number of numbers in the set then you add the two middle numbers and divide it by 2.
an example : 5,7, 8, 4 = 4, 5, 7 , 8 = the middle numbers = 5 + 7 = 12 divided by 2 = 6
To calculate the mode you have to see which numbers comes more often in the set of numbers, If there are two different numbers that come often even if one is higher include them in the mode.
An example - 5,6,6,6,6,7,7,7. The mode in this is 6 but 7 comes often to so if your teacher tells you to include more than one mode in these kinds of situation you include 7 or in general you don't have to
To calculate the range you choose the greatest and the lowest numbers and substract the highest to the lowest number in the set.
An example 5, 6, 7 , 9 , 8 = 9 ( the highest number in this set) - ( substraction) 5 ( the lowest number in this set) and 9 - 5 = 4 so the range is 4
Imagine a clock face. The x-axis passes through the numbers 3 and 9. The y-axis passes
through the numbers 12 and 6.
When it is 5:00 p.m., the hour hand points at the number 5. If the hour hand is reflected
across the x-axis, what number will it point at?
Answer:
8
Step-by-step explanation:
i did that answer and i got it right
If the price of a sweater was $37.38 after a 35% discount, what was the original price? Round your answer to the nearest cent.
Answer:
$57.51
Step-by-step explanation:
If the price of a sweater was $37.38 after a 35% discount, what was the original price? Round your answer to the nearest cent.
The formula for the original price =
= Sales price/1 - Percentage discount
Percentage discount = 35% = 0.35
Original price = $37.38/1 - 0.35
= $37.38/0.65
= $57.507692308
Approximately = $57.51
Therefore, the original price H= $57.51
NEED HELP NOWWWW PLEASE HELPPPP!!!!!!!!!!
Answer:
-3 over 1
Step-by-step explanation:
Symbolab.com to help
Answer:
I’m not going to try ponte las pilas
Step-by-step explanation:
how do i evaluate f(x)=-3x^2-5x+8
Answer: f(x)= -3x 2 -5x +8
Step-by-step explanation:
Draw the line y=4 on the grid
Answer:
you would need a graph to graph the equation
Step-by-step explanation:
Answer:
I think this help you to draw