What is the point slope form of the line with slope −14 that passes through the point (−2, 9) ?
y−9=−14(x+2)
y+2=−14(x−9)
y−2=−14(x+9)
y+9=−14(x−2)
Answers
Answer: y−9=−14(x+2)
Step-by-step explanation:
See attached image.
The point- slope form is y−9=−14(x+2).
The correct option is (a)
What is slope?The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
given:
(-2, 9)
As,
y- y1= m (x- x1)
y - 9 = -14( x + 2)
y-9 = -14x -28
Hence, the point slope form is y−9=−14(x+2).
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Related Questions
John bought 15 cookies and ate 3 of them. What percentage did he eat?
Answers
Hope this helps
David learned 15 definitions in 90 minutes. How much time will he take to learn 10 definitions?
Answers
90/15
=6
It takes David 6 minutes to learn one definition.
Next multiply 6 by 10 to find out how long it'll take him to learn 10 definitions
6x10
=60
It'll take David 60 minutes to learn 10 definitions.
I hope this helps!
15........>90 minutes
10.........x minutes
Cross multiply
15x = 90*10
15x = 900
x = 900/15
x = 60
So, David will take 60 minutes to learn 10 definitions.
Best of luck!
Angle∠efg and angle∠gfh are a linear pair, mangle∠efgequals=55nplus+2020, and mangle∠gfhequals=33nplus+1616. what are mangle∠efg and mangle∠gfh?
Answers
Answer:
its A on edge
Step-by-step explanation:
You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mix you can make? Explain how you found your answer. ( The Trail Mix Recipe : 2 2/3 cups granola, 1 1/3 cups of peanuts )
Answers
Identify the transformations that map rectangle A to triangle A
Answers
Answer:
It is D. I just did it. D) reflect over y-axis, translate 4 units right, then translate 10 units down
Step-by-step explanation:
A convex lens has a diameter of 30 mm and a depth of 5 mm at the center. How far from the vertex is the focus?
Answers
f = x² / 4a
where f is focus, x is the radius (half the value of diameter), and a is the depth. Substituting the known values to the given equation,
f = (30/2 mm)² / (4)(5 mm)
f = 11.25 mm
ANSWER: 11.25 mm
Name four angles between 0 and 360 degrees with a reference angle of 20 degrees Show work
Answers
i.e. 20°, 160°, 200° and 340°
Answer with explanation:
Reference Angle =20°
Angle Lies in First Quadrant.
⇒≡Reference Angle of 20°, which should lie between 0° and 360° can be evaluated by using the formula=360°n+20°, for n=0,1,2,3,4,....
So,First Reference angle of 20°=20°
Second reference angle of 20°=360°× 1+20°=380°
Third Reference angle of 20°=360°× 2+20°
=720°+20°
=740°
Fourth Reference angle of 20°=360°×3+20°
=1080°+20°
=1100°
How do you solve for m using the equation 5.01cm^3=m/1.2cm^3
Answers
To solve for 'm' in the equation 5.01cm^3 = m/1.2cm^3, multiply both sides of the equation by 1.2cm^3. This yields the solution m approx = 6.012cm^6.
Explanation:To solve the equation 5.01cm^3 = m/1.2cm^3 for m, you should first isolate m by multiplying both sides of the equation by 1.2cm^3. So, it becomes 5.01cm^3 * 1.2cm^3 = m. By conducting this multiplication, you get approximately 6.012 cm^6 = m. So, the solution to the equation is m approx = 6.012cm^6
To solve for m in the equation 5.01 cm3 = m / 1.2 cm3, we need to isolate the variable m. To do this, we can multiply both sides of the equation by 1.2 cm3. This cancels out the units of cm3 on the right side, leaving us with 5.01 cm3 * 1.2 cm3 = m.
Next, we can perform the multiplication to find the value of m. 5.01 cm3 * 1.2 cm3 = 6.012 cm3. Therefore, m = 6.012 cm3.
So, the solution to the equation is m = 6.012 cm3.
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If y varies directly as x, and the constant of variation is -3, which equation represents this relationship?
Answers
Final answer:
The equation representing a direct variation where y varies directly as x with a constant of variation of -3 is y = -3x. It is a linear equation without a y-intercept.
Explanation:
If y varies directly as x, and the constant of variation is -3, the equation that represents this relationship can be written as y = kx, where k is the constant of variation. Since the constant of variation is given as -3, the equation becomes y = -3x. This is a linear equation similar to the form y = mx + b, where m is the slope of the line and b is the y-intercept. In this case, since the constant of variation is -3, the slope of the line is -3 and the y-intercept is 0 because there is no addition or subtraction of a constant in the equation.
A florist is making blue and white flower arrangements. For the arrangements, he places a red ribbon on every 3rd arrangement and a blue ribbon on every 5th arrangement. Which arrangement will be the first to have a red ribbon and a blue ribbon?
Answers
When Cullen cleaned behind his dresser, he found 73 cents, all in nickels and pennies. There were 25 coins. How many were nickels?
Answers
The number of coins is 25, so we get this equation.
n + p = 25
The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73
Now you have a system of equations.
n + p = 25
0.05n + 0.01p = 0.73
Solve the first equation for n:
n = 25 - p
Now substitute into the second equation.
0.05(25 - p) + 0.01p = 0.73
1.25 - 0.05p + 0.01p = 0.73
-0.04p = -0.52
p = 13
There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.
n + 13 = 25
n = 12
There are 13 pennies and 12 nickels.
Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.
Which numbers are a distance of 2 units from 8 on a number line?
Select each correct answer.
86
10
−2
−6
−8
Answers
Answer
6 and 10
Step by step explanation
a distance of 2 units from 8 on a number line
we need to find out the numbers that are 2 units from 8 on the number line
To find out the numbers we need to subtract and add 2 from 8
[tex]8+2=10[/tex]
[tex]8-2=6[/tex]
10 is 2 units from 8 on the right side
6 is 2 units from 8 on the left side
So, 6 and 10 are 2 units away from 8 on the number line.
The number of bacteria in a culture is increasing according to the law of exponential growth. after 2 hours, there are 50 bacteria, and after 4 hours, there are 200 bacteria. how many bacteria will there be after 7 hours?
Answers
What are expressions like 4(3+2) and 4(3)+4(2) called
Answers
For the polynomial function yequals=f(x) below, choose the statements that most accurately describe the function.
Answers
1. Write numbers from standard form to Scientific notation for the following: The diameter of human DNA is about 0.000000002
2. Idaho is shaped like a triangle with a base of approximately 320 miles and a height of approximately 520 miles. Calculate the area of Idaho and write the answer in scientific notation.
Answers
2.00X10^-9
As for number two, you must first start by using the area formula of a triangle. That equation would be
A= 1/2bh or A=bh/2 (b=base and h=height)
By plugging that in you get an area of 83,200 miles. As mentioned before, when finding scientific notation, you want a number between 1 and 9. To do so, we have to make this number smaller by moving the decimal 4 places to the left (making the exponent positive) and resulting in an answer of:
8.32X10^4 miles
Don't give me the answer, just explain how I can solve it, please:
SOLVE: 13 - 3x = 4 (x - 2)
Answers
distribute 4 through the parenthesis
13 - 3x = 4x - 8
move variables to the left side and change its sighn
13 - 3x - 4x = - 8
move constant to the right side and change its sign
-3x - 4x = - 8 - 13
collect like terms
-7x = - 8 - 13
-3x - 4x = - 8 - 13
calculate the sum or difference
-7x = - 21
divide both sides of the equation by - 7
x = 3
Answer:
that is the explanation elect me for brainiest pls.
Step-by-step explanation:
I hope this helps(:
A circle has a radius of 10 centimeters. If 7/8 of the circle is cut away, what is the area of the remaining portion? Use 3.14 for π.
A) 44.86 cm2
B) 3.93 cm2
C) 39.25 cm2
D) 358.86 cm2
Thank you :)
Answers
A=pi*R^2
And we will have:
A=3,14*100 => A=314
Now we need to know how much 7/8 of 314 is:
(87,5%) 7/8*314 = 274,75
The only thing left to do is the diference between the 2 values 314 (100%) and 274,75 (87,5%), wich will be:
314-274,75=39,25
C .
Find the net force f acting on the particle.
express your answer in terms of m and
a.
Answers
If the mass is represented as m and acceleration as the net force f acting on the particle will be f =ma.
What is force?Force is defined as the product of mass and change in velocity.The objects interactions with one another are what cause push and pull. Force may also be expressed using words like stretch and squeeze.
The force is in mathematical form is,
Force = mass × acceleration
If m is the mass in kilogram and a is the acceleration in m/s² is,
F = m × a
F = (1 kg) × (1 m/s²)
F = 1 kg.m/s²
As we know, 1 kg.m/s² = 1 N
F = 1 N
The measures mentioned above are taken into account by the Newton unit (N). As a result, one newton is defined as the force needed to accelerate 1 kilogram of mass 1 meter per second squared in a certain direction. 1N = 1kg (m/s²) is the way to express force.
Thus, if the mass is represented as m, acceleration as the net force f acting on the particle will be f =ma.
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Find the solution(s) to x2 – 14x + 49 = 0
Answers
Answer:
x=7
Step-by-step explanation:
[tex]x^2 - 14x + 49 = 0[/tex]
Factor the left hand side of the equation
product is 49 and sum is -14
-7 times -7 is 49
-7 plus -7 is -14
so two factors are -7 and -7
[tex]x^2 - 14x + 49 = 0[/tex]
[tex](x-7)(x-7)= 0[/tex]
Now we apply zero factor property
SEt each factor =0 and solve for x
x-7 =0 , x=7
The correct solution for the equation [tex]x^{2}- 14x+49 = 0[/tex] is [tex]x = 7[/tex].
Given equation,
[tex]x^{2}- 14x+49 = 0[/tex]
The equation is a quadratic equation. A polynomial equation of second degree is known as quadratic equation.
The standard form of a quadratic equation is:
[tex]ax^{2} + bx + c = 0[/tex]
Find the solution of given equation for x, Use the standard formula:
x = (-b ± √(b² - 4ac)) / (2a)
From the question,
a = 1, b =-4 , c = 49.
Put the value of a, b ,c in the formula to find x.
x = (-(-14) ± √((-14)² - 4(1)(49))) / 2(1)
= (14 ± √(196 - 196)) / 2
= (14 ± √(0)) / 2
= [tex]\dfrac{14}{2}[/tex]
= 7
The value of the discriminant [tex]\sqrt{b^{2} - 4ac }[/tex] is 0. this indicates that their will be only one value of x.
The equation [tex]x^{2}- 14x+49 = 0[/tex] has a single solution which is x =7.
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To solve X/0.4 = 10, you would: Add 0.4 Subtract 0.4 Multiply 0.4 Divide by 0.4
Answers
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
X/0.4= 10
We need to find the value of x .
For this, we will multiply by 0.4 on both sides, we get that
X= 0.4 × 10
X = 4
Hence, third option is correct.
Worth a brainliest if the answer is correct.
If the rule (x,y) → (x+3, y-3) is applied to the original triangle, give the coordinates of and draw the image. Show your work for calculating the coordinates of the resulting image.
Answers
first of all find A and B and C
A=(0,3),B=(-1,1),C=(2,1)
After the translation
A'=(3,0),B'=(2,-2),C'=(5,-2)
A theater sells children's tickets for half the adult ticket price. if 5 adult tickets and 8 children's tickets cost a total of $27, what is the cost of an adult ticket?
Answers
To find the cost of an adult ticket, we can set up an equation using the given information and then solve for the variable.
Explanation:To solve this problem, let's start by defining some variables. Let the cost of an adult ticket be x dollars. Since children's tickets are sold for half the price of adult tickets, the cost of a children's ticket is (1/2)x dollars.
Given that 5 adult tickets and 8 children's tickets cost a total of $27, we can set up the following equation to represent the total cost:
5x + 8(1/2)x = 27
To solve for x, we can simplify the equation:
5x + 4x = 27
9x = 27
Dividing both sides by 9, we find that x = 3.
Therefore, the cost of an adult ticket is $3.
The pair of figures is similar. Find x. Round to the nearest tenth if necessary.
Answers
23(17) = 40x
391/40 = x
9.775 = x
The pair of triangle shown in the diagram are similar. Similar triangle have proportional corresponding sides. So you can write a proportion connecting all given known and unknown sides:
[tex]\dfrac{23}{40}=\dfrac{x}{17}.[/tex]
From here you have that
[tex]40\cdot x=23\cdot 17,\\ \\x=\dfrac{23\cdot 17}{40}=\dfrac{391}{40}=9.775\approx 9.8\ cm.[/tex]
Answer: 9.8 cm.
Solve the inequality and express your answer in interval notation. x^2+8x+3<0
Answers
use the quadratic formula;
x = -8 + 2√13 / 2, -8 - 2√13 / 2
-4 - √13 < x < -4 + √13 (this is what they're asking as in interval notation)
hope this helps, God bless!
Answer:
-4 - √13 < x < -4 + √13
Step-by-step explanation:
NEED HELP PLEASE ANSWER ASAP. Two points have the same Y-coordinates but different X-coordinates. Make a prediction about the slope of a line drawn through the points. Justify your prediction.
Answers
The slope of a line drawn through the points are zero.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points have the same Y-coordinates but different X-coordinates.
Now,
Since, Two points have the same Y-coordinates but different X-coordinates.
Hence, Take two points as;
(x, y) = (3, 4) , (5, 4)
Thus, The slope of line passing through the points (3, 4) and (5, 4) is,
⇒ m = (4 - 4) / (5 - 3)
⇒ m = 0
Thus, The slope of a line drawn through the points are zero.
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two segments are ______ coplanar
A.) always
B.) sometimes
C.) never
Answers
Two segments are always coplanar. The correct option is A.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
An adjacent line to another line in the same plane. Any two intersecting lines must be coplanar, that is, they must be on the same plane. Two line segments are always in the same plane.
Straight lines that are parallel and do not intersect at any point are called parallel lines. In the same three-dimensional space, parallel planes are any planes that never cross.
Therefore, the segments are always coplanar. The correct option is A.
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27 is 3 times as many as what number?
A. 9 B. 81 C. 7 D. 24
Answers
27/3 = 9
hope this helps
this is because 9 x 3 = 27
Hope this helps :)
2/3b + 5 = 20 - b
Solve for b
Answers
with this equation you want to do the same.
2/3b + 5 = 20 - b
first, make all the numbers integers (whole numbers). we want to make 2/3b a whole number, so we multiply the whole equation by 3 to keep everything in proportion with each other, thus ending up with
2b + 15 = 60 - 3b
now we collect 'like terms.'
add 3b to both sides gives
5b + 15 = 60
subtract 15 from both sides
5b = 45
divide by 5 to leave the value of b
b = 9
The solution value of b in the equation 2/3b + 5 = 20 - b is: b = 9.
Here, we have,
given that,
the equation is:
2/3b + 5 = 20 - b
so with these equations, you collect 'like terms.'
like terms are basically grouping things that are the same together,
so for example a+a-b+2b would be 2a+b.
with this equation you want to do the same.
2/3b + 5 = 20 - b
first, make all the numbers integers (whole numbers).
we want to make 2/3b a whole number,
so we multiply the whole equation by 3 to keep everything in proportion with each other,
thus ending up with
2b + 15 = 60 - 3b
now we collect 'like terms.'
add 3b to both sides gives
5b + 15 = 60
subtract 15 from both sides
5b = 45
divide by 5 to leave the value of b
b = 9
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Which table shows the same rate of change of y with respect to x as y =4-5/8x? How would I even figure this out?
Table A
Table B
Table C
Table D
Answers
c
4-5/8(-4)=6.5
4-5/8(2)=2.75
4-5/8(4)=1.5
4-5/8(8)=-1
Answer:
Table B
Step-by-step explanation:
from the given equation
[tex]y=4-\dfrac{5}{8}x[/tex]
now to figure out the table which is correct we will insert values of x one by one in the given equation and will find the value of y.
Table A [tex]y=4-\dfrac{5}{8}(-3)[/tex]
[tex]y=4+\dfrac{15}{8}[/tex]
Table B [tex]y=4-\dfrac{5}{8}(-4)[/tex]
[tex]y=4+2.5[/tex] = 6.5
Table C [tex]y=4-\dfrac{5}{8}(-4)[/tex]
[tex]y=4+2.5[/tex] = 6.5
Table D [tex]y=4-\dfrac{5}{8}(-3)[/tex]
[tex]y=4+\dfrac{15}{8}[/tex]
hence the correct answer is Table B