B is the midpoint which means both sides are equal to each other:
5x = 3x + 4
Subtract 3x from both sides
2x = 4
Divide both sides by 2
X = 2
[tex]\red{➤}\:[/tex][tex]\sf AB = 5x [/tex]
[tex]\red{➤}\:[/tex][tex]\sf BC = 3x+4[/tex]
[tex]\\[/tex]
To Find:-[tex]\orange{☛}\:[/tex][tex]\sf Value \:of \:x[/tex]
[tex]\\[/tex]
Solution:-Since B is midpoint of AC, therefore -
[tex]\\\quad\quad\quad\quad\sf AB = BC [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad \sf 5x = 3x+4\quad\quad ( Putting \:Value) \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf 5x-3x =4 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf 2x =4 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\sf x =\frac{4}{2}\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\quad\longrightarrow\quad\boxed{\sf {x=2 }}\\\end{gathered} [/tex]
pls someone help me
Answer:
x=16
y=10
Step-by-step explanation:
8x-14=5x+34
3x=48
x=16
8(16)-14=114
114+5y+16=180
5y+16=66
5y=50
y=10
Answer:
x=16 y=10
Step-by-step explanation:
did this on my quiz. i got it right
Which relation is also a function?
Answer:
D because if you graphed the others they wouldn't pass the vertical line test
Find 1 4/9(−2 4/7) . Write your answer as a mixed number in simplest form.
Answer:
-3 5/7
Step-by-step explanation:
Which polynomial has (3x + 2) as a binomial factor?
6x3 + 3x2 + 4x + 2
12x2 + 15x + 8x + 10
18x3 – 12x2 + 9x – 6
21x4 + 7x3 + 6x + 2
Answer:
The answer is B
Pls help I’ll give you 25 points I need help on a and c
Answer:
12
then’
156
Step-by-step explanation:
hope it helps
Find the difference 6 - 4 =
The answer is 2! This was very easy for me to figure out, and I think it was easy for you to as well. But no shame if you need help!
Choose the value that will correctly replace the missing part?2(?+5)=6x+10
Answer:
? = 3x
Step-by-step explanation:
2(? + 5) = 6x + 10
You must plug in a number that will get the same value on both sides of the equal sign.
2*5 = 10
2*? = 6x
6x/2 = 3x
if you have 3 pounds of apples and they cost 12$ whats the unit price
Answer:
unit price = 4$ a pound
Step-by-step explanation:
3 pounds for a total of 12$, but you need to know the price of 1 individul unit, so within those 3 lbs is 3 "individul units" (aka 1 pound)
total cost = 12$ for all 3 units so divide 12 by 3 (12/3) = 4 --> Giving you the cost of 1 unit which is $4.00
Check you work : 3 units (3lbs) , you know 1 unit(pound) costs 4$ and your total you paid needs to be equal to 12$
SO: 3 (your pounds) x 4 (price PER unit) = 12
12 = 12
Youre done!
compare −114 and −1 greater than or less than
Answer:
-114 is less than -1
Answer:
-114 < -1
Step-by-step explanation:
When dealing with two negative numbers, always remember that the larger the number the smaller it is, the smaller the number the larger it is
SHOW YOUR WORK answer and step by step
Answer:
v = -24
Step-by-step explanation:
7/8 v = -21
Multiply each side by 8/7 to isolate b
8/7 * 7/8 v = -21 * 8/7
v = -24
15.
Are the graphs of the lines in the pair parallel? Explain.
Find the slope of a line parallel to 5x + 2y = 6
A. -5/2
B. 2/5
C. -2/5
D. 5/2
Step-by-step explanation:
5x + 2y = 6
m = -a/b
m = -5/2
Option → A
What is the value of k?
(Not multiple choice)
Answer:
k is 10
Step-by-step explanation:
30 POINTS, PLEASE HELP, IVE BEEN STUCK ON THIS :(
Which fraction is equivalent to fraction with numerator 4 and denominator negative 9?
a. fraction with numerator negative 4 and denominator negative 9
b. fraction with numerator 9 and denominator 4
c. fraction with numerator negative 9 and denominator 4
d. fraction with numerator negative 4 and denominator 9
Answer:
D
Step-by-step explanation:
It's asking what is equivalent to 4/9
a. -4/9
b. 9/4
c. -9/4
d. 4/9
D is the correct answer
Answer:
a. -4⁄-9
b. 9/4
c. -9/4
d. -4/9
Step-by-step explanation:
find the real roots----------
Answer:
The vertex is (-3,0)
Step-by-step explanation:
Insert the values into the given equation on the assignment in order to get the coordinates of the vertex.
The values are:
a = 1
b = 6
c = 9
For the x coordinate, insert the a and b values into the equation (-b/2a):
-6/(2*1) =
-6/(2) =
-3
So now we know the x value is 3, to find the y value insert the a, b, and c values into the equation -(b^2-4ac)/4a
-(6^2 - (4*1*9))/(4*1) =
-(36-(36))/4 =
-0/4 =
0
So the y value is 0 and the vertex is (x,y), so the vertex is (-3,0)
Each side of a checkerboard measures
40 cm. What is the length of its
diagonal?
The length of diagonal of the checkerboard is [tex]40\sqrt{2} cm[/tex].
The Pythagoras theorem can be applied to a right angle triangle. It states that the square of hypotenuse is equal to sum of square length of base and height of the triangle. Mathematically: Hypotenuse² = Perpendicular² + Base². The diagonal of a square divides the square in two right triangles.
The each side of a checkerboard measures 40 cm, that means checkerboard is a square. So, applying the Pythagoras theorem in the triangle formed by diagonal and two sides of square,
[tex]D^2=S^2+S^2\\D^2=40^2+40^2\\D=40\sqrt{2} cm[/tex]
Where D is the length of diagonal and S is the length of side of checkerboard.
Therefore, the length of the diagonal of checkerboard is [tex]40\sqrt{2} cm[/tex].
To learn more about the Diagonal of Square visit here:
https://brainly.com/question/25125518
#SPJ1
look at screen shot will mark brainliest if correct!!!!
Answer:
The slope of line A is 2, because it goes up 2 units and over to the right 1, but you don't write the 1 in this case.
The slope of line B is -1/2, because it goes down 1 unit and over to the right 2 units.
For the last box: The slopes have opposite reciprocals.
Step-by-step explanation:
Hope this helps you :)
Sorry if it didn't though.
Here this is another one
Answer:
8. if he drove at a constant speed and made it 585 miles in 13 hours then first you 585/13 which gives you 45 miles an hour then you divide 810/45 to see how many hours that took and that would be 18 hours.
9. 1.20/8 is 0.15 and 0.15 times 17 is 2.55 then thats the cost of a 17 min call
Step-by-step explanation:
Answer:
This is for your online exam, neither why are you taking help from here, make it yourself
not sure on how to type this out but can anyone help me ??
Answer:
484
Step-by-step explanation:
This is because 22 squared is 484.
When you take something out from under the square root symbol, you have to square it.
Thus, a number outside the square root to the left of the symbol was originally that same number squared under the square root symbol.
Thus as 22 is outside the symbol, it was originally 22 squared while under the symbol, and 22 squared is 484.
PLEASE HURRY AND HELP ME. I'LL GIVE YOU 30 POINTS AND MARK YOU BRAINLIST IF YOU ANSWER FAST. Which two equations could you use as a system to find the cost of the entry fee and the cost of each ticket? Why?
Answer: SYSTEMS OF EQUATIONS in TWO VARIABLES. A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The equations in the system can be linear or non-linear.
Step-by-step explanation:
Answer:
Gwen's and Tristan's. Keith already has the same equation as Gwen, so it won't help us find out the cost of the entry fee and the cost of each ticket.
How are rational numbers created
Answer:
A Rational Number can be made by dividing an integer by an integer. (An integer itself has no fractional part.)
Can u plzzz help meeee plzzzz
Answer:
1. 452.16 square centimeters
2. 150.72 square centimeters
3. 25.12 centimeters
Step-by-step explanation:
1. the area of the circle
The area of a circle can be calculated with:
[tex]a=\pi r^2[/tex]
The area of the given circle then, is:
[tex]a=\pi 12^2\\a=144\pi\\[/tex]
or just 452.16 square centimeters.
2. the area of the minor sector
There's a convenient formula for this, but I don't remember it and you don't really need it. A full circle is 360°, and 120° is exactly 1 third of that. 1 third of the size means 1 third of the area:
[tex]a=452.16*\frac{1}{3} \\a=150.72[/tex]
or 150.72 square centimeters
3. the area of the minor arc
You can do the same thing here. The circumference of a circle is:
[tex]u=2\pi r[/tex]
So the circumference of the given circle is:
[tex]u=2\pi (12)\\u=24\pi[/tex]
or about 75.36 centimeters.
One third of that:
[tex]u=75.36*\frac{1}{3} \\u=25.12[/tex]
25.12 centimeters.
Math problem help please
Answer:
One ordered pair would be (1, -6).
Step-by-step explanation:
Let x = 1, then
3(1) - y = 9
-y = 9 - 3 = 6
y = -6.
Answer:
Give a value to either x or y.
For example: if x=2,
3x-y=9
3*2-y=9
6-y=9
y=-3
(x,y) = (2,-3) an ordered pair
Step-by-step explanation:
Pls help I've been stuck on here for 30 minutes I'm not smart lol
Answer:
2
Step-by-step explanation:
copy the proportion;
1 x
- = ----
8 16
16/8 = 2
1 x 2 = 2
Mr. Keller's art class designed a mural for their school's cafeteria. First, they tested their idea
with a 2-fluid-ounce tube of paint and a small canvas. They needed half of the tube to cover
the 0.25-square-foot canvas. Now, they feel ready to paint the actual 48-square-foot mural.
How many gallons of paint should Mr. Keller's class buy for their mural?
Answer: 1.5 gallons
Step-by-step explanation:
(1/2) of a 2oz tube covers 0.25ft^2. Make this into a conversion factor:
1 oz/0.25ft^2
4oz/ft^2
They have a 48 ft^2 mural. Assuming no mistakes in painting, they will need:
(48 ft^2)*(1 oz/0.25ft^2) = 192 oz [Note how the ft^2 units cancel]
There are 128oz/gallon. Make this a conversion factor:
(gallon/128oz)
Convert 192 oz to gallons: (192 oz)*(gallon/128oz) = 1.5 gallons
Simplify.
4(5n + 2)
4n + 2
4n + 2
20n + 8
20n + 8
20n + 2
20n + 2
5n + 2
5n + 2
Answer:
20n + 8
Step-by-step explanation:
Distribute the 4 to each term in the parenthesis:
4(5n+2)
(4)(5n) + (4)(2)
20n + 8
9 x 7 x 8 x 8 x 8 x y x 0 x 7
Answer:
0
Step-by-step explanation:
because anything times zero is zero
Find the values of x and y.
(8x + 7)
5y (7y - 34)
(9x - 4)
X=
y=
To make a complete uniform, Miss cruz uses 1.25 meters of cloth for blouse and 1.35 meters for skirt. how much will 12 sets of uniform cost if a meter of material used cost P50?
Answer:
Step-by-step explanation:
to find this all you need to do is find the cos per full uniform by adding 1.25m for the blouse and 1.35m for the skirt. This will equal 2.6m per full uniform. you need to then multiply this by 12 to find the total fabric needed for the 12 uniforms which will equal 31.2. you then multiply this answer by the 50 cents per meter to get the cost which will be $15.60
Help! I WILL GIVE BRAINLIEST!
Answer:
x > -3
Step-by-step explanation:
Answer:
x is greater than or equal to -3
what is 4/9 = 2/3 + 1/3b??????
b= -1.5
4/9=2/3 +1/3b
4/9= 6/9+1/3b
-2/9=1/3b
-2/9=3/9b
/-2/9
b= - 1.5
Answer:
Exact Form:
b = -2/3
Decimal Form:
b = -0.¯6