What is the slope of (-6,-3) and (-2,-8)
Answers
Answer:
-5/4
Step-by-step explanation:
.......................
The question gives us two points, (-6,-3) and (-2,-8), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (-8 - (- 3)) ÷ (-2 - (-6))
= - ⁵/₄
Checking my answer:
Finding the Equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-3) = - ⁵/₄(x - (-6))
y + 3 = - ⁵/₄ (x + 6)
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
Related Questions
In the given figure ABCD is a tripepizeum with AB||CD. If AO = x-1, CO = BO = x+1 and CD = x+4. Find the value of x.
Answers
[tex]\longmapsto[/tex]The value of "x" is 5.
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that,
A trapezium ABCD in which AB || CD such that
AO = x - 1CO = BO = x + 1OD = x + 4Now,
[tex]\rm In \: \triangle \: AOB \: and \: \triangle \: COD[/tex]
[tex]\rm \: \angle \: AOB \: and \: \angle \: COD \: \: \{vertically \: opposite \: angles \}[/tex]
[tex]\rm \: \angle \:ABO \: and \: \angle \: CDO \: \: \{alternate \: interior \: angles \}[/tex]
[tex]\bf \: \triangle \: AOB \: \sim \: \triangle \: COD \: \: \: \{AA \: similarity \}[/tex]
[tex]\bf\longmapsto\:\dfrac{AO}{CO} = \dfrac{BO}{DO} [/tex]
[tex]\rm \longmapsto\:\dfrac{x - 1}{x + 1} = \dfrac{x + 1}{x + 4} [/tex]
[tex]\rm \longmapsto\:(x - 1)(x + 4) = {(x + 1)}^{2} [/tex]
[tex]\rm \longmapsto\: {x}^{2} - x + 4x - 4 = {x}^{2} + 1 + 2x[/tex]
[tex]\rm \longmapsto\: 3x - 4 = 1 + 2x[/tex]
[tex]\rm \longmapsto\: 3x - 2x= 1 +4[/tex]
[tex]\bf\longmapsto \:x = 5[/tex]
Name the property that is illustrated.
1 x 3/4 = 3/4
Answers
Answer:
Associative Property of Addition
Use the remainder theorem to determine whether x=-4 is a solution of
[tex] {x}^{6} + {5x}^{5} + {5x}^{4} + {5x}^{3} + {2x}^{2} - 10x - 8[/tex]
Answers
Answer:
The remainder is zero. Then x = –4 is a solution of the given equation.
Hello haohaoxNienie!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Use the remainder theorem to determine whether x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
Refer to the attached picture.
Steps :-First find the divisor using the given information (x = - 4).Now, divide x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8 by x + 4.We'll get the remainder as 0.Using the remainder theorem & solving it, we'll get LHS & RHS as 0.Hence proved.Answer :- Yes, x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.
__________________
Hope it'll help you!
ℓu¢αzz ッ
Simplify the expression (2x^2+6x-7)-(9x^2-11)
Answers
2x^2 + 6x - 7 - 9x^2 + 11
(2x^2 - 9x^2) + (6x) + (-7 + 11)
-7x^2 + 6x + 4
Hope this helps!! :)
Answer:
=- 7x^2+6x+4
Step-by-step explanation:
i just passed my math test that i had no idea how to do :)
i just felt the need to share that for some reason
have a good day/night/afternoon ^^
Answers
As long as you believe in yourself, you can do anything.
Answer:
brruhhh
Step-by-step explanation:
Mr.Crane and Ms. Finch are next-door neighbors. They both have beautiful gardens with feeders that attract wildlife. Mr. Crane uses 2 cups of sunflower seeds for evey 6 cups of birdseeds in his feeders. Ms. Finch uses 3 cups of sunflower seeds for every 5 cups of birdseed in her feeders. Whose Feeder has a greater ratio of sunflower seeds to birdseeds?
Answers
Answer:
ms finch
Step-by-step explanation:
.
so I'm not sure how to draw a square with the area of 3 units
Answers
So we can say “3 = L x L” where L is any side length of the square
L times L is just simplified to L squared: “3 = L^2”
We can take the square root of both sides to get rid of the L squared. We are left with “the square root of 3 equals L”.
Sqrt(3) = L
And on a calculator the square root of 3 is 1.73205080757.
1.73205080757 = L.
The square is 4 lines in a box each with the length of 1.73205080757 units.
HEY THERE!! CORRECT ANSWER+EXPLANATION SHALL BE MARKED BRAINLIEST+43 POINTS
-solve the equation
[tex] \frac{1}{x} + \frac{1}{3x} = 4[/tex]
(pls have your answer as a fraction in its simplest form)
Thanks xx)
Answers
[tex]\displaystyle \frac{1}{x} +\frac{1}{3x} =4 \ \ ; \ \ x\neq 0 \\\\\\ \frac{3+1}{3x} =4 \\\\\\12x=4 \\\\ \boxed{x=\frac{1}{3} }[/tex]
60% of a mussems fossils are from the jurassic period if the number of fossils from the jurassic period is 15 what is the total of number of fossils ate the musuem ?
Answers
The total number of fossils at the museum are, 25
please help me to solve problems
Answers
Step-by-step explanation:
ajhai ans Pani chaiyo ki sabai ko ans pathau
Firstly, a key fact to keep in mind is Angles in a triangle equals 180⁰.
a. x+60⁰+30⁰=180⁰
x+90⁰=180⁰
x=180⁰-90⁰
x=90⁰
b. x+3x+40⁰=180⁰
collect like terms
4x+40⁰=180⁰
4x=180⁰-40⁰
4x=140⁰
Divide both sides by 4
x=35⁰
c. x+(x+7)+(x+5)=180⁰
3x+12=180⁰
3x=180⁰-12
3x=168⁰
x=168⁰÷3
x=56⁰
d. 52+x+y=180⁰
keeping in mind, two sides of this triangle are equal...
180⁰-52⁰=128⁰
128⁰÷2=64⁰
x=64⁰
x=64⁰ y=64⁰
e. b+a+90⁰=180⁰
right angled triangle
180⁰-90⁰=90⁰
90⁰÷2=45⁰
b=45⁰
b=45⁰ a=45⁰
f. Angles on a straight line equals 180⁰
180⁰-130⁰=50⁰
x=50⁰
Back to the triangle, in which two are equal,
50⁰+x+y=180⁰
180⁰-50⁰=110⁰
110⁰÷2=55⁰
y=55⁰
y=55⁰ z=55⁰
To be honest, I don't know how to solve the last two questions, hope I was helpful, if you wish, please mark BRAINLIEST.
pls help fast no randoms
Answers
Answer:
A, D, E
Step-by-step explanation:
Those are your surds because when you square root them they stay in the radical
Answer:
hla shougi
Step-by-step explanation:
What is the value pls help
Answers
Answer:
n = 27
Step-by-step explanation:
Multiplication has the commutative property, which means it doesn't matter what way around you put the numbers e.g. 4 × 3 = 3 × 4
So 27π = 27 × π = π × 27
n is 27
Erica cut 2/3 yard ribbon into pieces that are 1/6 yard long how many pieces of ribbon did she cut
Answers
Answer:
4 pieces
Step-by-step explanation:
To perform the calculation, it's easier for both values to have the same denominator.
2/3 yards is the same as 4/6 yards.
Now we have two values with the same denominator: 4/6 and 1/6.
(4/6) / (1/6) = 4.
1/(2+i)²
Solve this question....
Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
Given complex number is
[tex]\rm \longmapsto\:\dfrac{1}{ {(2 + i)}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{1}{4 + {i}^{2} + 2 \times 2 \times i} [/tex]
[tex]\rm \: = \: \dfrac{1}{4 - 1 + 4i} [/tex]
[tex]\rm \: = \: \dfrac{1}{3+ 4i} [/tex]
[tex]\rm \: = \: \dfrac{1}{3+ 4i} \times \dfrac{3 - 4i}{3 - 4i} [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{ {3}^{2} - {(4i)}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{9 -16 {i}^{2} } [/tex]
We know,
[tex] \rm \longmapsto\:\tt{ {i}^{2} \: = \: - \: 1 \: } \\ [/tex]
So, using this, we get
[tex]\rm \: = \: \dfrac{3 - 4i}{9 -16( - 1)} [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{9 + 16} [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{25} [/tex]
[tex]\rm \: = \: \dfrac{3}{25} - \dfrac{4}{25}i[/tex]
Arrange the following in descending order: 1/5,3/7,7/10
Answers
Answer:
7/10 - 3/7 - 1/5
Step-by-step explanation:
3/7-7/10-1/5
Step-by-step explanation:
[tex]8mx^{2}nx^{4}[/tex]
Answers
Step-by-step explanation:
You have $7,000 in your savings account gaining 4% interest per year. If you don't replace the $800 in the savings account
Determine if the system of equations has a unique solution.
3x - 2y + z = 15
2x + 4y + 6z = 30
X - 2y + 4z = 10
A. No solution
B. Linearly Dependent, infinite solution
C. Linearly Independent, Unique solution
Answers
Answer:
C. Linearly Independent, Unique solution
Step-by-step explanation:
x=11/2
y=7/4
z=2
WILL CHOOSE BRAINLIEST:Directions: From the graph, write the linear equation in slope-intercept form
Answers
Answer:
y = -2/3x - 2
Step-by-step explanation:
Picking two points on the line: (0,-2) & (-3,0)
Using the slope formula:
[tex]\frac{x2-x1}{y2-y1}[/tex]
= (0-(-2))/(-3-0)
= 2/-3
= -2/3
y = -2/3x + c
Subsituting (0,-2) into 'y = -2/3x+c':
-2 = 0 + c
c= -2
Hence,
y = -2/3x -2
Hope this helps, and be sure to have a wonderful time ahead at Brainly! :D
Feel free to mark this as brainliest :D
A popular laptop sells for $199.99. Since sales are so
good, the store raises the price by 13%. What is the cost
of the laptop after the markup?
Answers
Answer:
I believe the price after the markup would be $225.99, I hope this helps! :)
Answer:
Step-by-step explanation:
Increase % = 13%
[tex]New \ Cost = \dfrac{100+raise \ percent}{100}*199.99\\\\=\dfrac{113}{100}*199.99\\\\= 225.98\\[/tex]
Solve the equation |p − 8| = 4.
Answers
Answer:
p (4;12)
Step-by-step explanation:
lp - 8l = 4
---------------
1.
p - 8 = 4
p = 12
---------------
2.
- p + 8 = 4
p = 4
--------------
P: (4,12)
Answer:
P = -6 hope it helps
Step-by-step explanation:
When Grace left Vermont to visit her grandfather in Florida,
the temperature in Vermont was -7°F. When she arrived,
the temperature in Florida was 65°F. What was the
difference between the two temperatures?
A
71°F
B
72°F
C
74°F
D
58°F
Answers
Answer:
D.
Step-by-step explanation:
It is simple. Subtract 7* from 65* to get you 58* F.
On a scale drawing of a map, two houses are 4 inches apart. The actual distance that they are apart is 30 miles. What is the scale used to create the scale drawing of the map?
Answers
Answer:
The map scale is 1 : 475200
Step-by-step explanation:
Can anyone help me with this question?
Answers
Answer:
13
Step-by-step explanation:
Since this is a right triangle, you can use the Pythagorean Theorem.
The side y would be the hypotenuse.
[tex]a^{2} + b^{2} = c^{2}[/tex]
Plug it in:
[tex]5^{2} + 12^{2} = y^{2}[/tex]
Isolate y:
y = [tex]\sqrt{ 5^{2} + 12^{2} }[/tex]
Solve:
y = 13
Express the equation In y = 5 in exponential form.
TIMED HELP PLEASE
Answers
Answer:
log
2
(
y
)
=
5
→
2
5
=
y
⇒
y
=
32
Step-by-step explanation:
May I please receive help?
Answers
Answer:
HG=7 , which would mean that HI =7 and KL = 6 so MK = 6
Answer:
HI = 7 and m ∠K = 100°
Step-by-step explanation:
In Δ GHI are angles are equal and this is an equiangular triangle. In an equiangular triangle the sides are = and the angles are equal.
So HI = 7
In Δ KLJ, two sides are equal. If two sides of a triangle are equal then the angles opposite those sides are equal.
Now you know that m ∠L = 40°. In ΔKLJ, you have the following angles measure: 40° + 40° + m ∠ K = 180°; 80° + m ∠K = 180°; m ∠K = 100°
hi Help pls will mark as brainlist!!!!!!!!!
Answers
Answer:
-1/10
Step-by-step explanation:
-7/24 by the reciprocal of 35/12
The reciproical of 35/12 is 12/35
-7/24 * 12/35
Rewriting
-7/35 * 12/24
-1/5 * 1/2
-1/10
A concert venue can hold up to 2,400 people. 50 tickets are automatically reserved for radio stations to give out. When tickets go on sale for a Coldplay concert, 30 tickets are sold every minute. Which inequality below represents times in minutes , m, before the concert is sold out?
Answers
Todd is buying material to fence his new garden. He buys 2 strands of barbed wire and a post for every 3m of fence. Each post costs 300 dollars and barbed wire costs 20 dollars per meter. What is the shape of the largest area Todd can enclose if he spends 3000 dollars on fence material? Show your work.
Answers
fence material 268 is your answer..
Hello 100 point Question with Explaining please
Answers
Explanation: When you graph each of them, answer c is the only one that has that slope and point.
what is 5/4÷1/10? because i don't know what it is
Answers
[tex]\bold{Hello~!}[/tex]
What is [tex]^5^/^4[/tex] ÷ [tex]^1^/^1^0~^?[/tex]
✧ ANSWER : [tex]0.125[/tex]☆ EXPLANATION :[tex]^5^/^4[/tex] ÷ [tex]^1^/^1^0~^?[/tex]
[tex]\sf{Divide~the~numbers:}~5[/tex] ÷ [tex]\sf{4 = 1.25[/tex]
[tex]\sf{= 1.25}[/tex] ÷ [tex]\sf{~1}[/tex] ÷ [tex]\sf{10}[/tex]
[tex]\sf{Divide~the~numbers:}~1.25[/tex] ÷ [tex]\sf{~1}[/tex] [tex]\sf{ = 1.25}[/tex]
[tex]\sf{= 1.25}[/tex] ÷ [tex]\sf{10}[/tex]
[tex]\sf{Divide~the~numbers:~1.25[/tex] ÷ [tex]\sf{10}[/tex] [tex]\sf{= 0.125}[/tex]
[tex]\sf{ 0.125}[/tex]
Hope It Helps!
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[tex]\underline{Answer~:}[/tex]
[tex]\sf{Miwsow}[/tex]
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