please help picture below
Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0)
Answer:
B. y - 4 = - 1/2(x + 6)Step-by-step explanation:
Given points on the line:
(−6, 4) and (2, 0)Find the slope:
m = (0 - 4)/(2 - (-6)) = -4/ 8 = -1/2Point slope form using the first point:
y - 4 = - 1/2(x - (- 6)) ⇒ y - 4 = - 1/2(x + 6)Correct choice is B
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required equation is :
[tex]\boxed{ \boxed{y - 4 = - \dfrac{1}{2} (x + 6)}}[/tex]
[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
Let's find the slope (m) ~
[tex] \mathrm{\dfrac{y_2 - y_1}{x_2 - x_1} }[/tex][tex] \dfrac{4 - 0}{ - 6 - 2} [/tex][tex] - \dfrac{4}{8} [/tex][tex] - \dfrac{ 1 }{2} [/tex]now, let's use the slope and the points to write the equation of line in point slope form ~
[tex]y - 4 = - \dfrac{ 1}{2} (x - ( - 6))[/tex][tex]y - 4 = - \dfrac{1}{2} (x + 6)[/tex]6. Kori is on a road trip to Colorado, and uses the equation y = 60x+ 200 to determine the
number of miles she has driven after x hours. If she drives for a maximum of 12
hours, what is the domain of this situation?
The domain is the set of x-values for which the equation is true.
Since the maximum time is 12 hours, then the domain is less than or equal to 12.Since time can't be negative or 0, then the minimum is greater than 0. ∴ domain would be 0 < x ≥ 12Factor the following polynomials:
1.) 100a² - 25b²
2.) m³ + 125
3.) 8a³ - 64b³
4.) x² - 8x + 12
5.) b² - 6b - 27
Step-by-step explanation:
1. 100a²-25b² [use : a²-b² formula : (a+b)(a-b)]
=> 25(4a²-b²)
=> 25(2a-b)(2a+b).
2. m³+125 [use : a³+b³ formula: (a+b)(a²-ab+b²]
=> m³+5³ => (m+5)(m²-5m+25).
3. 8a³-64b³ [use : a³-b³ formula: (a-b)(a²+ab+b²]
=> 8(a³-8b³) => 8(a-2b)(a²+2ab+b²)
4. x² - 8x + 12 [middle term breaking)
=> x²-2x-6x+12 => x(x-2)-6(x-2) => (x-2) (x-6)
5. b² - 6b - 27 [ middle term breaking]
=> b²-9b+3b-27 => b(b-9)+3(b-9) => (b-9)(b+3).
hope this helps you.
1.
The length and the width of a rectangular field are 24 feet and 18 feet respectively. A
diagonal walkwaty is made from one end to the opposite end. What is the length of the
walkway?
Answer: 30
Step-by-step explanation: square 24 and 18 (576 & 324) then add them together (900), then the square root of 900 is 30, so 30.
Answer:
Step-by-step explanation:
To find the diagonal path way, use Pythagorean theorem.
Diagonal² = length² + width²
= 24² + 18²
= 576 + 324
= 900
diagonal = √900 = √30 *30
diagonal = 30 ft
7/8÷2/3= __
can i get only the answer
Answer:
21/16
Step-by-step explanation:
hope it hepls pa brainlest na din po
Answer:
in fraction= 1 5/16
in decimal = 1.3125
Write an equation of the parabola in vertex form. (-2, 6) (-1, 3)
An equation of the parabola is y=
The equation of the parabola is y = -3(x + 2)^2 + 6
How to determine the parabola equation?From the graph, we have:
Vertex, (h,k) = (-2,6)Point (x,y) = (-1,3)A parabola is represented as:
y = a(x - h)^2 + k
Substitute (h,k) = (-2,6)
y = a(x + 2)^2 + 6
Substitute (x,y) = (-1,3)
3 = a(-1 + 2)^2 + 6
Evaluate
3 = a + 6
Subtract 6 from both sides
a = -3
Substitute a = -3 in y = a(x + 2)^2 + 6
y = -3(x + 2)^2 + 6
Hence, the equation of the parabola is y = -3(x + 2)^2 + 6
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Please help! Geometry
Answer: g=100
Step-by-step explanation:
Answer:
g = 105
Step-by-step explanation:
G = 105 because the angle across from 105 on the left is also 105 (opposite angles), and g is a corresponding angle to the angle across from the 105 that is given.
A person walked 19km in 2.0 hr. What is the person’s average velocity in km/he and in m/sec?
Answer:
9.5km/hr and 16.667m/s
Step-by-step explanation:
velocity = Distance / Time
v = 19/2 --> v = 9.5km/hr
v = 2000m/120s --> v = 16.66666667m/s
HELP PLEASE ASAP
Sara says, "If you subtract 13 from my number and multiply the difference by -6, the result is
- 66." What is Sara's number?
AHHHH HELPPP !!!!
:/
Answer:
x=6
Step-by-step explanation:
Combine the equations and make them equal 180 because they make a linear angle. Simplify and solve. Good luck! 23×+3+6x+3=180
These two angles are supplementary. Since lines V and W are parallel, if we look at the corresponding angles for each given expression, we can see that they are congruent.
23x + 3 + 6x + 3 = 180
29x + 6 = 180
29x = 174
x = 6
Hope this helps!! :)
A gardener wants to build a fence around his
square garden. He only has 64 feet of fencing
material. Which inequality shows all the side
lengths, x, that the fence could have?
Answer:
64 = 4x
64 divided by the total sides the garden has, 4
92x76cx8466cx7576
help
Answer: guy are you ok
Step-by-step explanation:
Answer:
yea im with cedgerton61
Step-by-step explanation:
Encuentre el valor de x en la siguiente ecuación 6x = 4x + 6
Answer:
[tex]6x = 4x + 6 \\ 6x - 4x = 6 \\ 2x = 6 \\ x = \frac{6}{2} \\ \boxed{x = 3}[/tex]
Answer:
x = 3
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
hi Help pls will mark as brainlist!!!!!!!!!
HELP WILL GIVE BRAINLIEST
Answer:
38° po siya
HOPE IT HELPS
Solve for x step by step: -4=v/20-5
Answer:
WALA PO AKONG ALAM SA MATH EHH HEHEH
What is the smallest number greater than 1 that leaves a remainder 1 when divided by each of 2, 3, and 4?
PLS SHOW WORK
Answer:
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Figure D is the result of transforming Figure C.
1. What transformation would accomplish this?
(6d+5)−(2−3d) find the difference
Answer:
9d+7
Step-by-step explanation:
when you subtract you 'add the opposite' so we can rewrite this subtraction problem as an addition problem as follows:
6d + 5 + 2 + 3d
combine 'like' terms to get:
9d + 7
Answer:
3d + 3
Step-by-step explanation:
Robert saved 15% of his paycheck
%
If he saved $30 how
,
muchi
his paycheck?
was
Answer:
$200
Step-by-step explanation:
Change 15% into decimal notation, that will give you 0.15
Divide $30 by 0.15
$30/0.15 = $200
Therefore, his paycheck was $200
Pablo owes his sister $9. His sister Nina owes their mother three times that amount. What number on the number line represents Nina’s debt?
Answer:
Step-by-step explanation:
Nina's debt = 3 * 9 = $ 27
Debt is represented using negative sign.This represents (-27) on the number line.
Answer:(-27)
Step-by-step explanation:
i got it right on edge 2022
The depth of water in a reservoir increases from 14m to 15.75m. Work out the percentage increase.
Answer:
It was a 12.5% water gain
Naomi and Stefan are selling pies for a school fundraiser. Customers can buy cherry pies and pumpkin pies. Naomi sold 11 cherry pies and 4 pumpkin pies for a total of
$208. Stefan sold 13 cherry pies and 12 pumpkin pies for a total of $384. Write the
system of equations that would allow you to determine the cost each of one cherry
pie (c) and one pumpkin pie (p)?
The answer is the first option
The cost of one cherry pie (c) is $12 and one pumpkin pie (p) is $19 and the equation system will calculate the cost of one cherry 11c + 4p = 208 and 13c + 12p = 384 .
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
Let the number of cherry pies be c,
And the number of pumpkin pies be p,
As per the given information, an equation system will calculate the cost of one cherry.
11c + 4p = 208 ...(i)
13c + 12p = 384 ...(ii)
Multiplying 12 by equation (i) and 4 by equation (ii), we get
132c + 48p = 2496 …(iii)
52c + 48p = 1536 …(iv)
Equation (iii) subtracts from (iv) and we get c = 12 then substitute the value of 'c’ into equation (i) and we get
11(12) + 4p = 208
4p = 208 - 132
4p = 76
p = 19
Thus, the cost of one cherry pie (c) is $12 and one pumpkin pie (p) is $19
Learn more about the Linear equations here:
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What is the difference between 4 and -5?
Answer:
l-5l+l4l=9
l . l means total value from zero.
what is [70+(-30)]+[2+(-9)]+[0.3+(-0.1)]
Answer:
33.2
Step-by-step explanation:
When you add the left side of the equation, you get 33.2 because 70-30 is 40, 40+2 is 42, 42-9 is 33, 33+0.3 is 33.03, 33.3-0.1 is 33.2.
When you add the right side of the equation, you get 33.2, because they are the same problem but on side has brackets.
Hope this helps you.
Kim has no more than $500 to spend on home repairs. HandyMan Co is charging her $125 for supplies needed and $25 per hour. Write and solve an inequality to show how many hours of repair she can afford.
For what value of c is the function one-to-one?
StartSet (1, 2), (2, 3), (3, 5), (4, 7), (5, 11), (6, c) EndSet
2
5
11
13
Answer:
13
Step-by-step explanation:
Correct on edge
The function will be one-to-one only if c = 13.
When a function is one-to-one?
A function is one-to-one if and only if each value in the range appears only once.
So, the given set will represent a one-to-one function if c takes a value that is not repeated in any of the other coordinate pairs.
We have:
(1, 2), (2, 3), (3, 5), (4, 7), (5, 11), (6, c)
For the given options, the only element that not already appears in one of the pairs is c = 13, so that is the correct option.
If you want to learn more about functions, you can read:
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How do I solve for this?
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Answer:
angle L = 100 degrees
angle M = 110 degrees
angle N = 70 degrees
angle P = 80 degrees
Step-by-step explanation:
find value of 'x' then substitute into each of the four angle expressions
to find 'x', add all expressions and set them equal to 360 (there are 360 degrees in any four-sided polygon)
2x + 20 + 3x - 10 + 2x - 10 + 2x = 360
combine 'like' terms to get:
9x = 360
x = 40
angle L = 2(40) + 20 = 100 degrees
angle M = 3(40) - 10 = 110 degrees
angle N = 2(40) - 10 = 70 degrees
angle P = 2(40) = 80 degrees
Check:
100 + 110 + 70 + 80 = 360
Help me with this questionnnnn
