Given:
A line passes through the origin and the point (-2,1).
To find:
The slope of the line.
Solution:
If a line passes though two point, then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that a line passes through the origin, .i.e., (0,0) and the point (-2,1). So, the slope of the line is
[tex]m=\dfrac{1-0}{-2-0}[/tex]
[tex]m=\dfrac{1}{-2}[/tex]
[tex]m=-\dfrac{1}{2}[/tex]
Therefore, the slope of the line is [tex]-\dfrac{1}{2}[/tex].
1. Identify the parallel lines.
2. Identify the transversal.
3. How many angles are formed by the transversal?
4. Which of the angles are congruent?
5. If ∠5 is 110°, what is the measure of ∠1?
Answer:
1. The parallel lines are m and n
2. The transversal is line t.
3. 8 angles are formed by the transversal.
4. Angles 7 and 5, 1 and 3, 2 and 4, 6 and 8, 6 and 2, 7 and 3, 1 and 5, 4 and 8, 3 and 5, 2 and 8, 4 and 6, and 1 and 7.
5. If m<5 is 110°, then m<1 is also 110°
Hope this helps
Could you please Help Me?
The work of a student to solve the equation
2(5y − 2) = 12 + 6y is shown below:
Step 1: 2(5y − 2) = 12 + 6y
Step 2: 7y − 4 = 12 + 6y
Step 3: y − 4 = 10
Step 4: y = 14
Step 5: y = 7
In which step did the student first make an error and what is the correct step? Step 2: 7y − 4 = 6 + 3y
Step 2: 10y − 4 = 12 + 6y
Step 3: 5y − 2 = 2(10 + 3y)
Step 3: 2(5y − 2) = 10 + 3y
What is the difference between a solid boundary line and a dashed boundary line when graphing an inequality?
Libby, Mike and Kyle share £44 in the ratio 2 : 3:6
Find how much money each of them will receive.
Libby: £
Mike: £
Kyle: £
Answer:
libby: £8
Mike: £12
Kyle: £24
Step-by-step explanation:
hope I helped
h=(500-260)divided by 2
Answer:
h = 120
Step-by-step explanation:
The required, division of h=(500-260)divided by 2 is 120..
The division is a mathematical operation that involves distributing or sharing a quantity into equal parts. It is the inverse operation of multiplication. In division, a dividend is divided by a divisor to obtain a quotient.
h = (500 - 260) divided by 2
To solve this expression, we first perform the subtraction within the parentheses:
h = (240) / 2
Simplifying further:
h = 120
Therefore, the value of h is 120.
Learn more about division here:
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A fisherman can row upstream at 2mph and downstream at 8mph. He started rowing upstream till he got tired and the rowed downstream to his starting point. How far did the fisherman row if the entire trip took 2 hours
Answer:
The fisherman row 6.4 miles total.
Step-by-step explanation:
Let the distance from his starting point to the point he turn around is "d" miles.
Given upstream speed is 2 mph and downstream speed is 8 mph.
We now that time = distance /speed
So the time required to row "d "miles upstream = d/2 hours
The time required to row "d" miles downstream = d/8 hours.
As the entire trip took 2 hours so the equation will be :
d/2 +d/8 = 2
( 4d + d ) /8 = 2
5d = 16
d = 16/ 5 = 3.2 miles
So the fisherman rowed a total of ( 3.2 x 2 ) miles = 6.4 miles.
Solve for x and show your work.
12 = -4(-6x - 3) HELP
Answer:
12= (24x+12) 0=24x Hope this helpsAnswer:
x=0
Step-by-step explanation:
BRAIN TWISTER/6TH GRADE MATH
Create (1) mathematical problem or mathematical sentence where the answer is "46". For the variables, use t = 3 and h= 5 or t and h for equations.
Plz sum 1 help quickkkkk
Answer:
D
Step-by-step explanation:
VW = FG
hope this helps...
In order to convert 3.6 meters into yards, Evin used the following product:
Answer:
2
Step-by-step explanation:
Number 2 was written wrong because it should have been 1 inch / 2.54 centimeters, not the other way around.
This is because the units of the number on the top of the previous one (in this case, centimeters) has to be the same as the units on the bottom of the fraction. This means that if you have cm on top of one, the next one has to have cm on the bottom of the fraction.
If f(x) = 2^{5x}-3f(x)=2
5x
−3, what is the value of f(2)f(2)
Answer:
what does "^" mean in this equation?
Step-by-step explanation:
Find an ordered pair (x, y) that is a solution to the equation.
5x - y = 8
(2,2) could be a solution. :)
(0,-8) could be another.
please help , will mark as Brainliest for best answer
Answer:
1...................
Find the percent of decrease
From 64 photos to 21 photos
Answer:
67.2
Step-by-step explanation:
64 - 21 = 43
43/64 × 100 = 67.188
A cheetah can run 60 miles per hour. A lion can
run 25 miles in half an hour. Which animal is
faster, and by how much?
A. The cheetah is faster by 10 miles per
hour.
B. The lion is faster by 10 miles per hour.
C. The cheetah is faster by 35 miles per
hour.
D. The lion is faster by 35 miles per hour.
Answer:
Step-by-step explanation:
cheetah runs 60 miles/hour
lion runs 50 miles/hour
answer A
Answer:
A. the cheetah is faster by 10 miles
Step-by-step explanation:
If you add the other half hour a lion can run (25 miles) 25+25=50, 60 is greater than 50 by 10.
6 x 2/3 x 2 1/2 = what plss help
Answer:
10
Step-by-step explanation:
Answer
10
Step-by-step explanation:
how do you find the height of a cylinder when given the surface area and the diameter?
pls find me this too I would appriciate it:(
Workings attached above.
Eva say it's $60 each week since she needs to save at least $2400 to go on a trip to Europe she will need to say 40 weeks
Answer:
The answer would be true.
Step-by-step explanation:
60*40=2400
Answer:
She will need to save for 40 weeks
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
Y=8x-32
Step-by-step explanation:
Point Form:
(4,0)
Equation Form:
x=4, y=0
Someone pls help me and if u don’t mind can u do the others on my page
9514 1404 393
Answer:
D) a = b= 2√2
Step-by-step explanation:
The hypotenuse of an isosceles right triangle is √2 times the side length. This means you have ...
a√2 = 4
a = 4/√2 = 4(√2)/2 = 2√2
Of course, the side lengths are the same (as all answer choices show you). The correct choice is ...
a = 2√2, b = 2√2
Find the product of the monomial and the polynomial: 4x^3y^3*(3x^3-7xy^2+2xy-y)
Answer: 12x^6y^3-28x^4y^5+8x^4y^4-4x^3y^4
Step-by-step explanation:
The requierd product of 4x³y³ and (3x³-7xy²+2xy-y) is:
12x⁶y³ - 28x⁴y⁵ + 8x⁴y⁴ - 4x³y⁴
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
The monomial and the polynomial are given in the question, as follows:
4x³y³ × (3x³-7xy²+2xy-y)
To find the product of the monomial 4x³y³ and the polynomial (3x³-7xy²+2xy-y), we need to multiply each term in the polynomial by the monomial and then add the results.
(4x³y³) × (3x³) = 12x⁶y³
(4x³y³) × (-7xy²) = -28x⁴y⁵
(4x³y³) × (2xy) = 8x⁴y⁴
(4x³y³) × (-y) = -4x³y⁴
⇒ 12x⁶y³ - 28x⁴y⁵ + 8x⁴y⁴ - 4x³y⁴
Therefore, the product of 4x³y³ and (3x³-7xy²+2xy-y) is:
12x⁶y³ - 28x⁴y⁵ + 8x⁴y⁴ - 4x³y⁴
Learn more about the polynomial here:
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HELP PLEASE AND THANK U.
Step-by-step explanation:
6x - y/z
but x=6, y=8 and z=4
6(6) - 8/4
36 - 8/4
28/4
=7
The total area of the figure to the right is 300cm^2 use this fact to write an equation involving x then solve the equation to find the value of x
Answer: 300cm^2 = 30x^2
Step-by-step explanation:
A rectangle is 2 √7 feet wide and 3 √7 feet long. What is the area, in square feet, of
the rectangle?
Answer:
[tex]42ft^{2}[/tex]
Step-by-step explanation:
[tex]2\sqrt{7}[/tex] × [tex]3\sqrt{7}[/tex]
Multiply the numbers outside the root and inside the root.
[tex]2x3=6[/tex] [tex]7x7=49[/tex]
[tex]6\sqrt{49}[/tex]
Simplify whats under the root
[tex]\sqrt{49} = 7[/tex]
[tex]6[/tex]×[tex]7=42[/tex]
PLEASE HELP!
On a piece of paper, use a protractor to construct
right triangle DEF with DE = 4 in., m∠D = 90°, and m∠E = 45°.
What statement is true about the triangle?
A. EF = 7 in.
B. DF = 4 in.
C. DF = 2 in.
D. EF = 4 in.
find the geometric mean of the numbers:
2 and 8
10 and 12
Answer:
2 and 8: negative and positive 4
10 and 12, sqrt 120, which simplifies to 2 sqrt 30
Step-by-step explanation:
apparently geometric mean... is taking the product... and square rooting it? okay
HelP I have to turn this in tomorrow!!!
Answer:
$7.22 per foot squared
Step-by-step explanation:
hope this helps
Answer:
$7.22/ft² (Verified Answer) ✅Step-by-step explanation:
We need the unit rate here. The best way to do this is to write a proportion.
Let x = the $ for 1 ft.
130/18 = x/1
130 = 18x
Divide by 18
x = $7.22
Now, we check to make sure we are correct.
130/18 = 7.22/1
130 = 130 ✅
Linear Equation, Need Solved Asap <3
Step-by-step explanation:
y = 5x - 4
When x = 0, y = 5(0) - 4 = -4.
When x = 1, y = 5(1) - 4 = 1.
When x = 2, y = 5(2) - 4 = 6.
The 3 ordered pairs we have are (0,-4), (1,1) and (2,6).
We now check the point (-5,-29):
(-29) : 5(-5) - 4
-29 : -25 - 4
-29 : -29 => -29 = -29.
Since Left hand side = Right hand side, the point (-5,-29) is a solution.
Answer:
1. (1,1) (2,6) (3, 11)
2. Yes
Step-by-step explanation:
1. 5(1)-4 = 5-4 = 1
5(2)-4 = 10-4 = 6
5(3)-4 = 15-4 = 11
(I just chose 3 simple x values and plugged them into the equation to get the y values then wrote it as an ordered pair)
2. 5(-5)-4 = -25-4 = -29
-29 = -29
(Same as number 1 but I used the given x value then I checked if the y value I got matched the ordered pair)
PLZ: show work, solve for x:
x+11/-2=-8
x+11/-2 x -2= -8 x -2
x+11= 16
X+11-11=16-11
x = 5