Slope Formula (Between 2 points)
[tex] \displaystyle \large{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
Let these be the following:
[tex] \displaystyle \large{(x_1,y_1 )= (8, - 5)} \\ \displaystyle \large{(x_2,y_2 )= (8 ,- 2)} [/tex]
Substitute these points in.
[tex] \displaystyle \large{m = \frac{ - 2 - ( - 5)}{8 - 8} } \\ \displaystyle \large{m = \frac{ - 2 + 5}{0} }[/tex]
Since the denominator is 0. The slope is undefined. However, we can still find the equation of a line but not in y-isolated form.
Since for all y-values give same x-values. This means that the line will always pass at (8,y) where y is set of real numbers.
The line has to be vertical since a x-value can export many y-values.
Hence, the equation of a line would be x = 8
Solve the inequality for x and identify the graph of its solution.
|x+1|>2
Choose the answer that gives both the correct solution and the correct graph.
Answer:
D
Step-by-step explanation:
|x+1|>2
-2>x+1>2
-3>x>1
Option D is correct that is the solution of the inequality |x+1|>2 is x<-3 or x<1.
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
What is a solution of an inequality?Solution of an inequality is a value that makes the inequality true.
According to the given question
We have an inequality |x + 1|>2.
The solution set of the above inequality is given by
[tex]|x + 1| > 2[/tex]
⇒ [tex]-2 > x+1 > 2[/tex]
⇒ [tex]-2-1 > x > 2-1[/tex]
⇒ [tex]-3 > x > 1[/tex]
⇒ [tex]x < -3[/tex] or [tex]x < 1[/tex]
Hence, option D is correct that is the solution of the inequality |x+1|>2 is x<-3 or x<1.
Learn more about inequality here:
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There are five boys and five girls in a class. The teacher randomly selects three different students to answer questions. The first student is a girl, the second student is a boy, and the third student is a girl. Find the probability of this occuring.
Answer:
5/10
Step-by-step explanation:
for every girl picked a boy is also picked. There are 10 kids so it's a 50% chance it happens
Answer:
50%
Step-by-step explanation:
5/10
*simplify*
1/2
*divide 1 by 2*
0.5
*multiply by 100, or move the decimal twice*
0.5 ---> 5. ---> 50.
50. = 50
so your answer is 50%.
Find the area of the semicircle.
Hi! I'm happy to help!
To solve for the area of a semi-circle, we just need to find the area of a circle, and divide it by 2.
The equation for area of a circle is A=[tex]\pi[/tex]r²
It says we can use 3.14 for pi, so we can write our equation like this:
A=3.14(r²)
Since we are dealing with half of a circle, we can write this as:
A=[tex]\frac{1}{2}[/tex](3.14(r²))
Our radius is a straight line going from the edge of the circle to the center. We have the diameter, which is just the radius doubled (because it goes from the edge to the center point then back to the edge). So, we divide our diameter by 2 to get our radius.
14÷2=7
Our radius is 7, so we can plug that into our equation:
A=[tex]\frac{1}{2}[/tex](3.14(7²))
Now all we have to do, is solve:
A=[tex]\frac{1}{2}[/tex](3.14(49))
A=[tex]\frac{1}{2}[/tex](153.86)
A=76.93
So, our area is 76.93 units².
I hope this was helpful, keep learning! :D
What are the opposite rays
Answer:
ab and ed are opposite rays
Step-by-step explanation:
PLEASE MARK AS BRAINLIRST
Answer:
A pair of opposite rays are two rays that have the 'same endpoint and extend in opposite directions. So, together a pair of opposite rays always forms a straight line
What is the slope of the line?
Answer:
-5/9
Step-by-step explanation:
The exact point at which the lines cuts the axis are unclear so I used the closest round number to substitute into the gradient formula. From the answer I noticed two things
Firstly it was a negative gradient...therefore the second and the fourth option wouldn't work
Secondly (if I were to ignore the operation) the number is less than 1 which would mean that it couldnt be an improper fraction where the numerator is greater than the denominator.
If you take what you notice about both the operation and the size of the number you would find that -5/9 fits the criteria the best and is therefore the answer to your question.
[tex] \frac{y2 - y1}{x2 - x1} \\ = \frac{0 - ( - 1)}{ - 2 - 0} \\ = - \frac{1}{2} [/tex]
Find the decimal number which is exactly halfway between 8.7 and 9.0
Find the perimeter and area of the figure below
CAN U PLEAS HELP ME SIMPLIFY THIS AND PLEASE EXPLAIN YOUR REASONING THOROUGHLY BEHIND THIS
[tex]\sqrt{8}+\sqrt{50}[/tex]
Answer:
7√2Step-by-step explanation:
Given:
√8 + √50We can see that:
8 = 4*2 = 2²*2 and50 = 25*2 = 5²*2Since 2² and 5² are perfect squares we get:
√8 + √50 = 2√2 + 5√2 =(2 + 5)√2 = 7√2[tex]\\ \sf\longmapsto \sqrt{8}+\sqrt{50}[/tex]
[tex]\\ \sf\longmapsto \sqrt{2(2)(2)}+\sqrt{2(5)(5)}[/tex]
[tex]\\ \sf\longmapsto 2\sqrt{2}+5\sqrt{2}[/tex]
[tex]\\ \sf\longmapsto (2+5)\sqrt{2}[/tex]
[tex]\\ \sf\longmapsto 7\sqrt{2}[/tex]
12=-4(-6x-3) please help
Step-by-step explanation:
12=-4(-6x-3)
when minus is multiplied by minus then the result is plus,
12=24x+12
Now, subtract 12 from both sides,
12-12=24x+12-12
0=24x
Now, divide both sides by 24
0/24=24x/24
0=x
Answer and Step-by-step explanation:
First, distribute the negative 4 onto the negative 6x and negative 3.
12 = 24x + 12
Subtract 12 from both sides of the equation.
0 = 24x
Divide both sides of the equation by 24.
x = 0
To check our answer:
-4(-6(0) - 3) = 12
-4(0 - 3) = 12
-4(-3) = 12
12 = 12 ✓
So, x is equal to 0.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Add the Following Fractions:
\large \frac{3}{8}+\frac{2}{8}=?
a. 5/16
Selected:b. 5/8This answer is correct.
c. 6/8
d. 1/8
Hi ;-)
[tex] \frac{3}{8} + \frac{2}{8} = \frac{3 + 2}{8} = \frac{5}{8} [/tex]
Answer:
[tex] \frac{3}{8} + \frac{2}{8} \\ denomentor \: is \: equal \: so \: we \: can \: add \: it \: \\ \: then \frac{3 + 2}{8} \\ = \frac{5}{8} \\ thank \: you[/tex]
what is an acid or a base
an acid is a substance that donates protons ( in the brønsted - lowry definatiom) or accepts a pair of balance electrons to form a bond ( in the Lewis definition ) .
A base is a substance that can accept protons or donate a pair of valence electrons to form a bond . bases can be thought of as the chemical opposite if acids .
hope this helps you
mrk me braniliest plz
Answer:
a acid is a substance that can donate protons . or accepts the balance protons to form a bond .
a base is a substance that can accept protons or donate a pair of valence electrons to form a bond .
Express the formula d = rt in terms of the time, t. Use your formula to find the time when the distance is 40 and the rate is 8.
A)t= 4; 1 = 5
B)t= ; t = 0.2
C)t = dr; t = 320
D)t = d-r; t = 32
Answer:
t = d/r; t = 5
Step-by-step explanation:
Hi there!
1) Isolate t
d = rt
Divide both sides by r
d/r = rt/r
d/r = t
t = d/r
2) Solve for t when distance is 40 and the rate is 8
t = d/r
Replace d with 40 and rate with 8
t = 40/8
t = 5
I hope this helps!
Simplify the expression.
3 (2 + 9) + 15 simplified is
Answer: (9)/(15)
Step-by-step explanation:
A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21. Find the number
Answer:
The number is 5
BRAINLIEST, PLEASE!
Step-by-step explanation:
8x + 2 = 2(21)
8x + 2 = 42
8x = 40
x = 5
In the expression, the value of number is 5.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We can to given that;
The algebraic expression is,
''A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21.''
Now,
Let a number = x
Hence, We can formulate;
⇒ x × 8 + 2 = 2 × 21
⇒ 8x + 2 = 42
Subtract 2 both side,
⇒ 8x + 2 - 2 = 42 - 2
⇒ 8x = 40
Divide by 8;
⇒ x = 5
Thus, The value of number = 5
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How to find 'w' ?
s is parallel to t
Answer:
110°
Step-by-step explanation:
v is 70°, that is opposite to w. The degree of a line is 180°.
180 - 70 = 110
I hope this helps!
pls ❤ and mark brainliest pls!
1,772,198 rounded to the nearest ten thousand is ?
1,772,198 rounded to the nearest hundred thousand is ?
Answer:
malai thaxaina
Which set of ordered pairs does not represent a function?
{(7, -5), (-5, -2), (8, –9), (-9,0)}
{(-3,0), (0, -5), (6,-2), (1, -2)}
{(6, -6), (-9,2), (6, -1), (-8, -9)}
{(7,3), (2, –6), (5, –7), (0, – 7)}
Answer:
{(6, -6), (-9,2), (6, -1), (-8, -9)}
if (a°+10°)and (a°+20°)are supplementry angles ,find them
Step-by-step explanation:
a°+10°+a°+20°=180
becasue sum of angle of suplimentary angles is 180.
2a+30=180
2a=180-30
2a=150
a=75
If 4(x-3)=16, what does 8x equal
Answer:
Step-by-step explanation:
4(x-3) =16
4x- 12=16
4x=28
8x=56
Answer:
8x = 56
Step-by-step explanation:
Solve for x by isolating it.
Divide both sides by 4
(x-3) = 4
Add 3 to both sides
x = 7
Now plug 7 in for x
8(7) = 56
Help!!!
In addition to fuel and maintenance, Rachel pays
$1,000 a year for insurance. The equation
C = (0.05 + 0.14) + 1,000 x shows the cost C, in
dollars, of owning and operating the car for a year as
a function of x, the number of miles driven in a year.
What does the slope of the graph of this function
represent?
Answer:
a function of x, the number of miles driven in a year.
Step-by-step explanation:
The slope of the line represents the cost of the maintenance and the cost of the fuel. Then the correct option is D.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
In addition to fuel and maintenance, Rachel pays $1,000 a year for insurance. The equation will be
C = (0.05 + 0.14)x + 1000
C = 0.19x + 1000
Then the slope of the line will be
Slope = 0.19
The slope of the line represents the cost of the maintenance and the cost of the fuel.
More about the linear system link is given below.
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Problem: A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on, until there are 200 logs in the bottom row.
Answer:
100 rows
Step-by-step explanation:
PLEASE HELP
X+11/8 = -3
Show your work in details if you can, I have a hard time understanding this.
Answer:
[tex] \frac{x + 11}{8} = - 3 \\ x + 11 = - 3 .8 \\ x = - 24 - 11 \\ x = - 33[/tex]
maaf jika salah
Answer:
x=-35
Step-by-step explanation:
x+11=-3*8
x+11=-24
x=-24-11
x=-35
(4yz)-3(x)
Y=4, z=2, x=-3
Answer:
=288
Step-by-step explanation:
(4yz)-3(x)
(4(4)(2))-3(-3)
(4x8)x9
32x9
288
Someone
pls help will mark brainliest!!!
Answer:
f(t)=-16t^2+8t+2
Step-by-step explanation:
You take f(t)=-16t^2, and for vt look at the initial velocity which was 8 and for s look at the height which was 2
Please Help! I will give you a lot of points if you do!
-It's NOT regular subtraction. You have to use Hindu-Arabic number system. If you don't and just use our regular number system then I will report you and give you a red flag
Answer:
377
Step-by-step explanation:
See attached.
Step-by-step explanation:
510 (base eight)
-111 (base eight)
___
377 (base eight)
what is the mid point of (27,3) and (18,-1)
Answer:
(22.5 , 1)
Step-by-step explanation:
Midpoint formula= [tex]\frac{x^1+x^{2} }{2} +\frac{y^{1} +2^{2} }{2} =Midpoint[/tex]
[tex]\frac{27+18}{2}[/tex]=22.5
3+-1=2
2/2=1
So, midpoint is (22.5 , 1)
You can also graph it out and use Pythagorean theorem but that would overcomplicate the problem.
Which angles represent alternate interior angles?
Question 21 options:
G and H
A and D
B and H
C and F
Answer:
A and D
Step-by-step explanation:
Alternate interior angles are the angles formed when a transversal intersects two coplanar lines.
Kelly bought a cup of coffee and drank 58 of it.
Write an addition equation to represent how much coffee is remaining.
Enter your answer as an addition equation, formatted like this: 42+(-53)=-11
Answer:
r+58=c
(r= remaining, c= total coffee)
Step-by-step explanation:
I need help as soon as possible pleaseeeeeee!!!!!!!
A rectangle has a length of 2 6√
and width of 6√
. Find the perimeter of the rectangle.
[tex]\\ \rm\Rrightarrow Perimeter=2(L+B)[/tex]
[tex]\\ \rm\Rrightarrow Perimeter=2(2\sqrt{6}+\sqrt{6})[/tex]
[tex]\\ \rm\Rrightarrow Perimeter=2(3\sqrt{6})[/tex]
[tex]\\ \rm\Rrightarrow Perimeter=6\sqrt{6}[/tex]
The perimeter of the rectangle will be 6√6 units.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length. The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be given as,
Perimeter of the rectangle = 2(L + W) units
A rectangle has a length of 2√6 and a width of √6. Then the perimeter of the rectangle is given as,
P = 2 (2√6 + √6)
Simplify the equation, then we have
P = 2 (2√6 + √6)
P = 2 (3√6)
P = 6√6 units
The perimeter of the rectangle will be 6√6 units.
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