Answer:
The distributive property.
Line f passes through points (8, 7) and (3, 10). Line g passes through points (5, 7) and (10, 4). Are line f and line g parallel or perpendicular?
Answer: Parallel
Step-by-step explanation:
First find slope.
Line f: [tex]\frac{10-7}{3-8} =-3/5[/tex]
Line g: [tex]\frac{4-7}{10-5}=-3/5[/tex]
Since the slopes are the same, the lines are parallel.
First we need to find the slope of each line
Slope of line f
(8 , 7) (3 , 10)
[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
[tex]slope = \frac{10-7}{3-8}[/tex]
[tex]slope = \frac{3}{-5}[/tex]
[tex]slope=-\frac{3}{5}[/tex]
Slope of line g
(5 , 7) (10 , 4)
[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
[tex]slope = \frac{4-7}{10-5}[/tex]
[tex]slope = \frac{-3}{5}[/tex]
[tex]slope=-\frac{3}{5}[/tex]
The two lines have the same slope therefore they are not perpendicular but instead parallel to each other.
Chose the correct solution set for each graph.
{x1x2-2)
o {xxs-2}
(-2,00)
(-5,00)
(-00,-5)
{xlx>-5}
{x}x<-5}
{x1–2
{x12
{<1-3
<
(-2,3)
(3,-2)
[-2,2]
(-60,-2)
{x1x2-5}
Answer:
1.B&E
2.A&C
3.A&D
Step-by-step explanation:
thank me if you get it correct have a nice day:)
Answer:
B & E.A & C.A & D.Step-by-step explanation:
Help me please
x/3+12=2
Answer:
x = -30Step-by-step explanation:
minus 12 on both sides
updated equation: x/3=-10
multiply 3 on both sides
updated equation
x = -30
Question 8 plz will give brainlest
Answer:
the answer for question no 8 is. option second...ie 17
what is 0.95 as a simplified fraction?
Answer:
19/20
Step-by-step explanation:
A "simplified fraction" in this case is the ratio of two integers.
0.95 = 95/100 (the ratio of two integers), which in turn can be simplified:
95/100 = 19/20
The endpoints of AC are A(-8, 9) and C (1, -3). Point B(-2, 1) lies on AC. What
is the ratio AB: BC?
A 1:2
B
1:1
C) 2:1
D) 3:1
Answer:
c)2:1..................
Answer:
C
Step-by-step explanation:
Find the distance of AB:
Distance formula: [tex]\sqrt{[(-8)-(-2)]^2+(9-1)^2}[/tex]
[tex]\sqrt{(-6)^2+(8)^2}=\sqrt{36+64}=\sqrt{100}=10 units[/tex]
Find the distance of BC:
Distance formula: [tex]\sqrt{[(-2)-1]^2+[1-(-3)]^2}[/tex]
[tex]\sqrt{(-3)^2+4^2}=\sqrt{9+16} =\sqrt{25} =5 units[/tex]
AB=10 units
BC=5 units
AB:BC = 10:5=2:1
To get to her parents' house, Karen would have to drive due north 9 miles. To get to her grandparents' house, she would have to drive due east 12 miles. What is the straight-line distance between the parents' and grandparents' houses
Answer:
in total 21 miles
Step-by-step explanation:
pls help i give brainless
Answer:
1. 11 AM
2. 10:30 AM
Step-by-step explanation:
Answer:
Number 5 she started at 11:00 am
number 6 she started at 10:30 am
Step-by-step explanation:
:)
√4x^2/3y
Please show work if you can
Answer:
√16x/3y
Step-by-step explanation:
√4x^2 = √16x /3y = can't be simplified further
Sonia works at a bakery. The function f(x) represents the amount of money Sonia earns per loaf, where x is the number of loaves she makes. The function g(x) represents the number of bread loaves Sonia bakes per hour, where x is the number of hours she works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 8^2 +4
g of x equals the square root of the quantity 2 x cubed
Answer:
[tex] f(x)=8x^2+4\\ g(x)=\sqrt{2x^3}\\ f(g(x))=8((\sqrt{2x^3})^2)+4\\=16x^3+4\\=4(4x^3+1)[/tex]
The function f(g(x)) will be f(g(x)) = 4(4x³ + 1) where 'x' is the number of hours.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The functions are given below.
f(x) = 8x² + 4
g(x) = √(2x³)
The function f(g(x)) is calculated as,
f(g(x)) = 8[√(2x³)]² + 4
f(g(x)) = 8[√(2x³)]² + 4
f(g(x)) = 16x³ + 4
f(g(x)) = 4(4x³ + 1)
The function f(g(x)) will be f(g(x)) = 4(4x³ + 1) where 'x' is the number of hours.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ7
A number added to three is the same as twice the number. Find the number. Round your answer to the nearest integer, if necessary.
Step-by-step explanation:
let the number be x
x +3= 2x
collect the like terms
x-2x= -3
-x = -3
x=3
PLEASE MARK BRAINLIEST
Plz help it’s due tonight!!!
Answer: AB≅EF, ∠B≅∠E, BC≅DE
Step-by-step explanation:
AB and EF are both marked with one line, making them congruent.
The same goes for BC and DE since they are marked with two lines.
Angles B and E are congruent because of the marking that is specified in both figures.
fully simplify (2x+y)^2
Answer:
4
2
+
4
+
2
Step-by-step explanation:
Find the slope from this equation
y=3x + 9
Show me how please
Answer: 3
Step-by-step explanation:
The slope is given by the coefficient of x, in an equation of the form y=mx+c.
Here, the slope, m = 3
You bought a package of paper for $3 and some pencils for $2 each at the school store. You paid $15 for everything that you bought. How many pencils did you buy?
Answer:
6 pencils
Step-by-step explanation:
Total cost = paper * cost of a package + pencils * cost of a pencils
We bought 1 pack of paper at 3 dollars and p pencils at 2 dollars
15 = 1*3 + p*2
15 = 3+2p
Subtract 3 from each side
15-3 = 3+2p-3
12 = 2p
Divide by 2
12/2 = 2p/2
6 = p
answer po plss plss plsss
Answer:
[tex] - 60[/tex]
Step-by-step explanation:
[tex]( - 1)(5)( - 6)( - 2) \\ ( - 5)( + 12) \\ = - 60[/tex]
Answer:
-60
Step-by-step explanation:
What’s the area of a 70 millimeter circle
Answer:
The area of the circle is 3,8550 mm
Step-by-step explanation:
Which quadratic equation contains the three points (-4,12), (2,42), and (3,40)
The quadratic equation that contains the three points is y = -x² + 3x + 40
A quadratic equation is in the form:
y = ax² + bx + c
At point (-4, 12):
12 = a(-4)² + b(-4) + c
16a - 4b + c = 12 (1)
At point (2, 42):
42 = a(2)² + b(2) + c
4a + 2b + c = 2 (2)
At point (3, 40):
40 = a(3)² + b(3) + c
9a + 3b + c = 40 (3)
Solving equation 1, 2, and 3 gives:
a = -1, b =3, c = 40
y = -x² + 3x + 40
Hence the quadratic equation is y = -x² + 3x + 40
Find out more at: https://brainly.com/question/18269329
In a class of 46 students, there are 10 more girls than boys?
Answer:
28 girls
18 boys
Step-by-step explanation:
46-10=36
36÷2=18
18+10=28
Which continent is pictured in the map as number 3?
Answer: Africa
, Hope this helps :)
Have a great day!!
find the missing angles
Answer:
1: 41
2: 85
3: 95
4: 85
5: 36
6: 49
7: 106
ANSWER PLZZZZZZZZZZZZZ
Answer:
to?
Step-by-step explanation:
You are given a speed in miles per minute. Which conversion factor would you use to express the speed in feet per minute?1 mile Over 5280 feet60 minutes Over 1 second5280 feet Over 1 mile1 minute Over 60 seconds
Answer:is it mile 1 or 1 mile?
Step-by-step explanation:
100%
Use the information to answer the question.
Triangle DEF is rotated 90° clockwise around the origin to create triangle D' E'F'.
If the perimeter of triangle DEF is 24 inches, what is the perimeter of triangle D' E' F'? Enter the answer in the box.
inches
Answer:
24 inches
Step-by-step explanation:
It is the same because the rotation doesn't change the size of the triangle
The perimeter of triangle D'E'F' is 24 inches.
We have given,
Triangle DEF is rotated 90° clockwise around the origin to create triangle D' E'F'.
What is the meaning of rotation?
If the perimeter of triangle DEF is 24 inches, what is the perimeter of triangle D' E' F'
It is the same because the rotation doesn't change the size of the triangle.
To learn more about the rotation visit:
https://brainly.com/question/26249005
given m || n, calculate the value of x
Answer: x = 41
Step-by-step explanation:
4x - 68 = 2x + 14 [since alternate interior angles are equal]
4x - 2x = 14 + 68
2x = 82
x = 41
Answer:
x=41
Step-by-step explanation:
this problem can be solved using the alternate interior angles converse theorem, which states that if two coplanar lines are cut by a transversal so that a pair of alternate inerior angles are congruent, then the two lines are parallel.
4x-68=2x+14
2x-68=14 <- subtract 2x from both sides
2x=82 <- add 68 to both sides
x=41 <- divide both sides by 2
check:
4(41)-68=96
2(41)+14=96
A whale can swim at a speed of 500 m/min. How far does it swim in 1 hour?
Answer:
30000 metres or 30 kilometers (km)
hope this helps
Answer:
30,000 m or 30 km
Step-by-step explanation:
please give me brainliest
The seventh grade students are having an end-of-year party in the school cafeteria. There are 754 students attending the party. Each table seats 6 students. How many tables are needed to seat all of the students? Fill in the blanks to complete the sentences.
Determine the number of tables by dividing [blank, it could be 754 or 6 ] by [754 or 6] If there is a remainder, the answer will need to be rounded [up or down] There [is or is not] a remainder, so [125, 126, or 130] tables are needed.
I'm sorry if it doesn't make sense. when there are the parenthesis those are the answer options btw! PLEASE ANSWER NO LINKS PLEASE
Answer:
Determine the number of tables by dividing 754 by 6. If there is a remainder, the answer will need to be rounded tenths or hundredths . There is a remainder, so 125.6 tables are needed.
Step-by-step explanation:
guys pls help me!!!!!!!
Answer:
23
Step-by-step explanation:
90 + 67 + x = 180
157 + x = 180
x = 23
does anyone know this?
Answer:
Cube
Step-by-step explanation:
Sixty tickets at $60 each cost
Answer:
360$
Step-by-step explanation:
you multiply I think?