Answer:
y= mx +c
Step-by-step explanation:
The point- slope form of an equation is
y= mx +c, where m is the gradient and c is the y-intercept.
You can find the value of m by using the gradient formula.
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Then substitute the value of m found into the equation. Next substitute a pair of coordinates the line passes through to find the value of c. Substitute the value of c and you will obtain the point-slope form equation of the line.
Here's an example.
Point-slope form of an equation passing through (1, 2) and (5, 6).
① Finding gradient, m.
[tex]m = \frac{6 - 2}{5 - 1} \\ m = \frac{4}{4} \\ m = 1[/tex]
② Substitute value of m into equation.
y= 1x +c
y= x +c
③ Substitute a pair of coordinates.
when x=1, y=2,
2= 1 +c
c= 2 -1
c= 1
Thus the equation of the line is y= x +1.
You may already know that "y+MX+b" form called the slope-intercept form of the equation of a line. It is the same equation in a different form. The 'b' value called the y intercept is where the line crosses the y- axis
Step-by-step explanation:
28. Simplify the following expression: 10 (2 + 3) - 8x3
D a) 126
Ob) 74
d) 18
c) 26
Answer:
C) 26Step-by-step explanation:
10 (2 + 3) - 8x3=10 (5) - (8x3) =50 - 24=26Graph the following function by hand by completing the table
g(x) = (x - 5)² – 3
We know that y - x^2 is a parabola with a vertex at (0, 0).
So if we move it 5 units to the right and 3 units down, the vertex is at (5, -3).
Since it gives you a chart, you can plug in values for x and solve for g(x), and you will eventually get a graph that looks like a parabola with vertex at (5, -3).
(-7)(-9)=
please help i thought it was -63
Answer:
The answer is not -63 but 63
Step-by-step explanation:
You multiply -7 by -9 and that equals 63. For when you multiply two negative numbers by each other it makes a positive number because the two negative numbers are canceled out:)
I rly hope this helped. Can I plz get brainliest?
A cylinder with the base radius of 8cm and has a height 12cm.Calculate to four significant figure. i.the curved surface area. ii.total surface area. iii.surface area of the cylinder when opened at one end. Take π =3.142.
Answer:
Curved surface area = [tex]603.3 {cm}^{2} [/tex]Total surface area= [tex]1005 {cm}^{2} [/tex]Surface area (opened at one end)=[tex]804.4 {cm}^{2} [/tex]You start at (4, -3). You move right 1 unit and left 3 units. Where do you end ?
Answer:
(2, -3)
Step-by-step explanation:
Moving right increases the x-coordinate so after moving 1 unit to the right, we will be at (4 + 1, -3) = (5, -3). Moving left decreases the x-coordinate so after moving 3 units to the left, we will be at (5 - 3, -3) = (2, -3).
Why is the product of a rational number and an irrational number irrational?
Answer:
Step-by-step explanation:
When you multiply and irrational by a rational, you are doing nothing to change the nature of an irrational number. The two numbers have different kinds of properties and though a multiplication can be indicated, there is no way you can change the properties of an irrational number with a rational.
Their properties just do not mix.
It is like take a solvent and mixing it with something that is not a solvent. You cannot do anything to anything to the insolvent to make it solvent simply by adding more. Their properties remain in tact.
Take 3 * 4√7
The properties of the 3 and 4 remain the same when multiplied and they can be combined. 3*4 = 12
But nothing can be done with √7. The 3 cannot effect it, anymore than what the 4 did.
Answer:
A. because the product is always a non-terminating, non-repeating decimal.
Amy was looking at a table of conversions from meters to kilometers. The table showed that 2 kilometers are equivalent to 2,000 meters, How can she determine how many kilometers are equivalent to 8,000 meters? Explain.
Answer:
The answer is in the question! If 2km = 2000m then 8km = 8000m
Step-by-step explanation:
Answer:
Sample Response: Amy can multiply 2 by 4, because the number of meters was multiplied by 4 to get 8,000 meters. 1 kilometer is a 1,000 times bigger than 1 meter. She could also divide 8,000 by 1,000 to get 8 kilometers.
Step-by-step explanation:
it was on edg and it said this was correct ↑↑
hope it help :b
Evaluate
5/8 - (1/4)
Answer:
3/8
Step-by-step explanation:
1. Find the LCM for the denominator: 5/8-2/8
2. subtract the numerator: 3/8
Answer:
The answer is 3/5
Step-by-step explanation:
You have to find the LCM
Then you have to subtract the numerator.
What is the surface area of a cube with a side length of > ? inche ?
Greetings from Brasil...
The area of a square is given by the expression: A = L² (where L is the side length)
A cube has 6 sides and each side is a square. So the surface area of a cube will be 6x the area of a square of this cube.
Acube = 6L²Examine the graph. Which statements are true about the function represented by the graph? Select all that apply.
The function decreases between −∞ and 0.
The function increases between −1 and ∞.
The function increases between −∞ and −1.
The function increases between −10 and ∞.
The function decreases between −∞ and −1.
Answer:
2 & 5 statement
Step-by-step explanation:
for this, you would need to look at the x values. statement 2 says the function is increasing between -1 and ∞. look at the graph and you can see that -1 to ∞ is increasing. same thing with -∞ and -1. the function decreases.
hope this helped :)
(BRAINLIEST QUESTION)
Which of the following is a complex number where a ≠ 0 and b ≠ 0? A -7 B Pi C 4 + 9i D 2+√3
Answer:
C 4 + 9i
Step-by-step explanation:
A complex number is of the form
a+bi where a is the real part and b is the imaginary part
4 + 9i
A teacher writes a function to model the rate
of completion on a test where C(n) represents
the completion rate and n represents the
number of students who have completed the
test over a class period. What would be an
appropriate domain of the function if the
teacher has 30 students in the class?
Answer: 30 students in the class.
Step-by-step explanation:
Domain is the set of all input values.
Given : A teacher writes a function to model the rate of completion on a test .
C(n) represents the completion rate
n represents the number of students who have completed the test over a class period.
Here , input variable = n
So, Domain= set of values for n
Since class has 30 students.
So, Domain = 30 students.
Hence, the appropriate domain of the function : 30 students.
Jocelyn makes x dollars per hour working at the grocery store and n dollars per hour babysitting. A. Write an expression that describes her earnings if she babysat for 25 hours and worked at the grocery store for 15 hours. 25n+15x B. How much money did she earn if she charged $10 an hour for babysitting and earned $7.25 an hour at the grocery store.
Answer:
A. 25n + 15x
B. $358.75
Step-by-step explanation:
Jocelyn earns
Grocery store= $x per hour
Babysitting= $n per hour
A. Write an expression that describes her earnings if she babysat for 25 hours and worked at the grocery store for 15 hours.
The expression is:
25n + 15x
B. How much money did she earn if she charged $10 an hour for babysitting and earned $7.25 an hour at the grocery store.
25n + 15x
When n= $10 and x= $7.25
25n + 15x
= 25(10) + 15(7.25)
= 250 + 108.75
= $358.75
Therefore, if Jocelyn earns $10 per hour for babysitting and babysat for 25 hours, and earn $7.5 per hour at the grocery store and works for 15 hours.
Her total earnings will be $358.75
AB has endpoints A(1, -3) and B(-4, 4). Find AB to the nearest tenth.
Answer:
2w78e56
Step-by-step explanation:
PLS HELP
Which of the following is a true statement regarding the quadratic formula form of the solutions to a quadratic equation?
The solutions x=4±85√2 must be left in exact form.
The solutions x=4±85√2 are in simplest form.
The solutions x=4±85√2 can be simplified to x=2±45√.
The solutions x=4±85√2 can be simplified to x=2±85√.
Answer:
The solutions x=4±85√2 must be left in exact form.
Step-by-step explanation:
The quadratic formula -b ±√b^2- 4ac/2a will always give us solutions in the form; m±n√q, where m,n and q are integers.
These solutions must always be presented in its exact form, that is, with the square roots in it. Hence the solutions x=4±85√2 are in its exact form.
Jim scored 23 points the first basketball game and scores 25 points per game(x) after the first. 73 +25Y
Answer: 1
Step-by-step explanation:
25+23=48
48=73+25Y
-73 = -25
divide = 1
What is the value of 15 - 8 ÷ 4 x 3 + 6? A) 6 B) 55 C) 3 D) 15
Answer:
D
Step-by-step explanation:
Answer:
15 thus D) is the answer
Step-by-step explanation:
Simplify the following:
15 - 8/4×3 + 6
The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:
15 - 2×3 + 6
-2×3 = -6:
15 + -6 + 6
| 1 |
| 1 | 5
+ | | 6
| 2 | 1:
21 - 6
| 1 | 11
| 2 | 1
- | | 6
| 1 | 5:
Answer: 15
2(b-3)=
help me i need this done in 20 minutes
Answer: 2b + -6
Step-by-step explanation: To simplify, we will use the distributive property.
Before distributing, I would change the -3 to plus a negative 3.
So we have 2(b + -3).
Now, distributing the 2 through the parenthses, we have 2(b) + 2(-3).
2(b) is 2b and 2(-3) is -6.
So we have 2b + -6 as our final answer.
Answer:
2b - 6
Step-by-step explanation:
2(b-3)=
Distribute
2*b - 2*3
2b - 6
Somebody help me solve what is in the image
Answer:
√2 is approximately 1.4.
Step-by-step explanation:
Part E:
1.3 squared is 1.69.
1.4 squared is 1.96.
1.5 squared is 2.25.
√2 is not between 1.3 and 1.4 because 1.4 squared only reaches up to 1.96 and not 2.
√2 is between 1.4 and 1.5 because 1.4 squared is 1.96 while 1.5 squared is 2.25. The √2 will be somewhere between 1.4 between 1.5.
2 is closer to 1.96 (0.04 units) than 2.25 (0.25 units). Thus, √2 is approximately 1.4.
find the mean deviation of 1,2,3 and 4
The fastest NASCAR qualifying speed is 313 feet per second. How many miles per hour is that?
Answer:
213.41 mph.
Step-by-step explanation:
Multiply by 3600 ( seconds in an hour) and divide by 5280 (feet in a mile).
= 213.41 mph.
Point F' corresponds to point D. point E'. point F. point E.
Answer:
F' corresponds to point F
Step-by-step explanation:
When a point is the result of some transformation, we often designate that result using the base name of the original, with a prime (') added. In this case, we expect that F' is the transformation of point F.
__
Comment on point naming
Of course, points can be given any name you like. These conventions are adopted to aid in communication about transformations and correspondence between points. It would be unusual--even confusing, but not unreasonable, for point F' to correspond to point D, for example. In the case of certain transformations, point F' may actually be point D.
Answer:
C
Step-by-step explanation:
Point F.
Which of these expressions is equivalent to 8p3 + 27?
A.(2p - 3)(4p2 + 6p + 9)
B.(2p + 3)(4p2 – 6p + 9)
C.(2p + 3)(4p2 + 6p + 9)
D.(2p - 3)(4p2 – 6p + 9)
Answer:
Hey there!
(2p - 3)(4p2 + 6p + 9) is equal to 8p^3+27. This is just a sum of cubes!
Let me know if this helps :)
If anyone’s good with geometry, help me out please. I would really appreciate it.
Answer: X=2, PR=40
Step-by-step explanation:
given that the two triangles are equal/congruent
------------------------
solve for x
10x+5=25
10x=20
x=2
--------------------
solve for y
33=7y-2
35=7y
y=5
------------------
solve for PR
PR=8y
PR=8(5)
PR=40
Hope this helps!! :)
What is the greatest common factor of the polynomial below?
8x2 - 4x
O A. 4x
O B. 2x
O C. 2x2
O D. 4x2
Answer:
Step-by-step explanation:
8x^2 - 4x
4x(2x - 1)
GCF is 4x
Which pair of functions represents a decomposition of f(g(x)) = | 2(x + 1)^2 + (x + 1) | ?
A) f(x) = (x + 1)^2 and g(x) = | 2x + 1 |
B) f(x) = (x + 1) and g(x) = | 2x^2 + x |
C) f(x) = | 2x + 1 | and g(x) = (x + 1)^2
D) f(x) = | 2x^2 + x | and g(x) = (x + 1)
Answer:
[tex]\Large \boxed{\mathrm{\bold{D.}} \ f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)}[/tex]
Step-by-step explanation:
[tex]f(g(x)) = | 2(x + 1)^2 + (x + 1) |[/tex]
The first option :
[tex]f(x) = (x + 1)^2 \ \mathrm{and} \ g(x) = | 2x + 1 |[/tex]
[tex]f(g(x))=(|2x+1|+1)^2[/tex]
The second option :
[tex]f(x) = (x + 1) \ \mathrm{and} \ g(x) = | 2x^2 + x |[/tex]
[tex]f(g(x))=(|2x^2 +x|+1)[/tex]
The third option :
[tex]f(x) = | 2x + 1 | \ \mathrm{and} \ g(x) = (x + 1)^2[/tex]
[tex]f(g(x))=|2(x+1)^2 +1 |[/tex]
The fourth option :
[tex]f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)[/tex]
[tex]f(g(x))= | 2(x + 1)^2 + (x + 1) |[/tex]
Answer:
D
Step-by-step explanation:
How many positive integers less than 100 have a remainder of 3
when divided by 7?
a) 18
b) 13 c) 14 d) 12
Answer:
13
Step-by-step explanation:
We can write the following inequality to find the answer:
7x + 3 < 100 (where x is our answer and x is an integer)
7x < 97
x < 13.86
The largest integer value of x that satisfies this inequality is x = 13 so we know that our answer will be 13.
A triangle with a height of 5cm and a base length of 12cm what is the perimeter
Answer: 5+5+12+12
Step-by-step explanation:
There are 1,000 meters in 1 kilometer. Convert 5,000 meters to kilometers.
A) 0.5 km
Eliminate
B) 5 km
C) 50 km
D) 500 km
Answer:
B) 5 km
Step-by-step explanation:
There are 1,000 m in 1 km, so x km=5000m
Set up a proportion:
[tex]\frac{1000m}{1km}=\frac{5000m}{x km}[/tex]
Cross multiply and solve for "x":
(1000 m)(x km)=(5000 m)(1 km)
1000x=5000
(1000x/1000)=5000/1000
x=5 km
A 16-ounce bottle of shampoo costs $4.69. What is the price per ounce, rounded to the nearest cent? $0.29 $0.34 $2.93 $3.41
Work Shown:
16 ounces = 4.69 dollars
16/16 ounces = 4.69/16 dollars .... divide both sides by 16
1 ounce = 0.293125 dollars
1 ounce = 0.29 dollars .... rounding to the nearest cent
Answer:
A i got it right in edge
Step-by-step explanation: