Step-by-step explanation:
Two intersecting lines form 4 angles. Each angle is equal to its opposite as vertically opposite angles are congruent.
Now, if 3 angles are equal it means 2 adjacent angles are equal too. It makes all 4 angles equal.
Since the sum of all 4 angles is 360°, each of angles is 90°.
This proves the lines are perpendicular.
How do you think you could simplify f(x) + g(x) if f(x) = 3x + 2 and g(x) = 4x?
Step-by-step explanation:
f(x) = 3x + 2
g(x) = 4x
= f(x) + g(x)
= 3x + 2 + 4x
= (3 + 4)x + 2
= 7x + 2
(f+g)(x) = 7x + 2
Describe the graph of the equation Y equals 6X
Answer:
Make a line using points (0,0) (1,6) and (-1,-6)
Step-by-step explanation:
Okay, so your first point will be (0,0) at the origin because in your equation there is no y-intercept.
For your next point, we have to use Rise/Run, or slope, to find our next point. In y=mx+b, m is the slope. So for y=6x, 6/1 is our slope.
So from the origin, we go up 6 and to the right once. This will give us the point (1,6)
Incase you need another point, we can also go down 6 and left 1. This gives us the point (-1,-6)
Hopefully this helps! Leave a comment if it does, and ask your teacher to see if it's right! <3
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:
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
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
A cricket team scored 250 runs in their first innings. One player scored 30% of these runs. In the second innings, the same player scored 105 runs.Express his second innings score as a percentage of his first innings score.
Answer:
42%
Step-by-step explanation:
Hope it helps!
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.
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
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
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.
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!
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
Calcula el área total de un prisma recto de base hexagonal regular si la arista de la base mide 4 cm y su altura 16 cm
El prisma recto cuya base es un cuadrado tiene por área total 144 cm ² halla el perímetro de la base si la altura del prisma mide la mitad de o que me dé de la arista de la base.
Es PArA HOy
Answer:
Step-by-step explanation:
its 244 cm
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
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:
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.
Determine whether the binomial is a factor of the polynomial.
f(x)=2x^3+5x^2−37x−60; x−4
Answer:
(x−4) (x+5) (2x+3)
Three times a number minus another number is -3. The sum of the numbers is 11. Find the numbers.
Answer:
they are 2 and 9
Step-by-step explanation:
Set up equation for two numbers a and b:
[tex]3a-b=-3[/tex] and [tex]a+b=11[/tex]
solve the system of equations:
add two equations together we get:
[tex]3a-b+a+b=-3+11[/tex]
[tex]4a=8[/tex]
[tex]a=2[/tex]
Since, a+b=11
thus [tex]b = 9[/tex]
What is the value of k?
(Not multiple choice)
Answer:
k is 10
Step-by-step explanation:
Write the expanded form of 4(1/4a + b - 6).
Answer:
a+4b-24Step-by-step explanation:
4(1/4a+b-6)
*4
1a+4b-24
Answer:
simplified : a+4b-24
Step-by-step explanation:
Do destributative property
Which relation is also a function?
Answer:
D because if you graphed the others they wouldn't pass the vertical line test
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
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.
Inclined Ramp A 2-pound weight is attached to a 3-pound
weight by a rope that passes over an ideal pulley. The smaller
weight hangs vertically, while the larger weight sits on a
frictionless inclined ramp with angle 0. The rope exerts a
tension force T on both weights along the direction of the
rope. Find the angle measure for that is needed to keep
the larger weight from sliding down the ramp. Round your
answer to the nearest tenth of a degree.
alt
opers
:34
of
4
3 pounds
2 pounds
The angle measure for the inclined ramp needed to keep the larger weight from sliding down the ramp is 42⁰.
The given parameters;
mass of the small block, m = 2 lb = 0.91 kgmass of the larger block, = M = 3 lb = 1.36 kgThe normal force on the larger weight (3 lb) is calculate as;
[tex]F_n = Mgcos(\theta)[/tex]
The net force on the larger weight is calculated as;
[tex]Mgsin(\theta) - T = 0[/tex]
where;
T is the tension on the wire due to the smaller weight pulling up the 3 lb weight.T = mg
[tex]Mgsin(\theta) - mg = 0\\\\(1.36\times 9.8)sin\theta \ - \ (0.91 \times 9.8) = 0\\\\13.328 sin(\theta) = 8.918\\\\sin(\theta) = \frac{8.918}{13.328} \\\\sin(\theta) = 0.669\\\\\theta = sin^{-1} (0.669)\\\\\theta = 42\ ^0[/tex]
Thus, the angle measure for the inclined ramp needed to keep the larger weight from sliding down the ramp is 42⁰.
Learn more here:https://brainly.com/question/18352782
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
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)
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
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
Ms.Rose brought a package of star stickers.Out of every 10 stars 4 are gold if there are 60 stars in the pack what fraction of the stars ther are gold
Answer:
2/5 are gold
Step-by-step explanation:
24 would be gold, and 24/60 can simplify to 4/10, and can them simplify again to 2/5.
:))
Answer:
[tex]\frac{2}{5}[/tex] of the stars are gold.
Step-by-step explanation:
No. of gold stars
= (60÷10)×4
= 6×4
= 24
Hence, fraction of stars that are gold = [tex]\frac{24}{60}[/tex] = [tex]\frac{2}{5}[/tex]
