y = x + 2
Step-by-step explanation:
General formula for any straight line:
y = mx + c
Where
m = gradient
c = constant
m = y2 - y1/x2 - x1
m = (4 - ( -2))/(2 - ( -4))
m = 6/6
m = 1
y = (1)x + c
y = x + c
Substitute any coordinate from the line of the equation.
4 = 2 + c
c = 2
substitute m and c into general formula
y = mx + c
y = x + 2
Answer:
Equation is : y = x + 2
Step-by-step explanation:
To find the equation of the we need two points through which the line passes.
Let it be (2 , 4) and ( -4 , - 2)
The standard equation of line is : y = mx + b , where m is the slope, b is the
y-intercept.
Step 1 : Find the slope, m
[tex]slope , m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] [tex][ \ where \ (x_1, y _ 1 ) = ( 2 , 4 ) \ , \ (x_2 , y_ 2 ) = ( -4, -2 ) \ ][/tex]
[tex]m = \frac{-2-4}{-4-2}\\\\ = \frac{-6}{-6}\\\\ = 1[/tex]
Step 2 : Find the equation of the line.
[tex]( y - y_1) = m(x- x_1)\\\\(y - 4) = 1 ( x - 2)\\\\y - 4 = x - 2 \\\\y = x - 2 + 4 \\\\y = x + 2[/tex]
quinn and randy both opened savings accounts with $50. Quinn deposited $25 each week for 4 weeks . randy deposited more than $25 each week for 4 weeks
which graph could represent randy’s total savings during 4 weeks ?
A
B
C
D
Which expression is equivalent to -10x + 5?
Find the total area for the composite figure below
Area of triangle + rectangle
= 1/2× 9×4 + 9×6
= 18+ 54
= 72
Answer:
72 units²
Step-by-step explanation:
A(Triangle) = 1/2(9)(4) = 18 units²
A(Rectangle) = 9(6) = 54 units²
A(Figure) = 18 + 54 = 72 units²
A quantity with an initial value of 670 decays continuously at a rate of 25% per hour.
What is the value of the quantity after 7 hours, to the nearest hundredth?
Answer:
89.43
Step-by-step explanation:
a = 670 * (1 * .25)^7
a = 670 * (.75)^7
a = 89.43
Construct the 95% confidence interval estimate of the mean VAS score for patients given the magnet treatment. Find the Standard error and critical value. construct the 95% confidence interval estimate of the mean VAS score for patients given the sham treatment. You may do the shortcut.
Answer:
(3.442 ; 6.558)
Step-by-step explanation:
Given :
Mean score after patient is given the magnet treatment :
Mean score, xbar = 5
Standard deviation, s = 2.4
Sample size, n = 20
The confidence interval :
Mean ± margin of error
Margin of Error = Tcritical * standard error
The critical value at 95%, df = 20 - 1 = 19
Tcritical = 2.093 (T-student distribution)
The standard error = s/√n = 2.4 / √20 = 0.5367
The margin of error = 2.903 * 0.5367 = 1.558
The confidence interval :
Xbar ± Margin of error
5 ± 1.558
(3.442 ; 6.558)
I need help pretty pls
Contruction workers are building a brick wall. The wall needs to be 3 feet tall, and the builders have enough bricks for the wall to have a volume of 279 cubic feet.What will the area of the base of the wall be?
Answer:
[tex]Base\ Area = 93ft^2[/tex]
Step-by-step explanation:
Given
[tex]Volume = 279ft^3[/tex]
[tex]Height =3ft[/tex]
Required
The base area
Volume is calculated as:
[tex]Volume = Base\ Area * Height[/tex]
This gives:
[tex]279= Base\ Area * 3[/tex]
Make Base Area the subject
[tex]Base\ Area = \frac{279}{3}[/tex]
[tex]Base\ Area = 93ft^2[/tex]
Please help me with this question
9514 1404 393
Answer:
(√5)/2
Step-by-step explanation:
Of the several ways I can think of to do this, using a graphing calculator is about the easiest. It shows the minimum to be ...
f(1) = √1.25 = (√5)/2
__
Using the distance formula, you have ...
f(x) = √((x -(-2))² +((x² +2)-5/2)²)
f(x) = √(x² +4x +4 +x⁴ -x² +1/4) = √(x⁴ +4x +17/4)
The minimum is found where the derivative is zero.
f'(x) = (2x³ +2)/√(x⁴ +4x +17/4) = 0
x³ = -1 . . . . . f'(x) is zero when the numerator is zero
x = -1 . . . . . cube root
Then the minimum value of f(x) is ...
f(-1) = √(x⁴ +4x +17/4) = √((-1)⁴ +4(-1) +17/4) = √(1 -4 +17/4) = √(5/4)
f(-1) = (√5)/2 . . . . minimum value of f(x)
__
The graph shows f²(x) in red and its minimum of 1.25 = 5/4. The curve (x, x²+2) and the point (-2, 5/2) are also shown, for reference. (The slope of the curve at x=-1 is -2, and the normal to the curve at that point has slope 1/2. The normal goes through the point (-2, 5/2), consistent with f(x) being a minimum at x=-1.)
qual o valor das expressões
(-5) + (+6) + (-2)?
(-22) - (+8) + (+10)?
(-12) . (+4) : (-2)?
Answer:
(-5) +(+6) +(-2) = (-1)
(-22) -(+8) +(10) =(-4)
Step-by-step explanation:
(-5)+ (+6) is 1 + (-2) is (-1)
(-22)-(+8) is (-14)+(10) is (-14)
Paige ran four miles a day last week. This week, she ran five miles a day. How did adding a mile most likely affect her workout?
Answer:
A. It increased both her intensity and her workout time.
Step-by-step explanation:
A. It increased both her intensity and her workout time.
B. It decreased her intensity but increased her workout time.
C. It increased her intensity but decreased her workout time.
D. It decreased both her intensity and work out time
Last week = 4 miles per day
This week = 5 miles per day
Intensity refers to how hard one exercises.
Workout time refers to how long one exercises the body.
By adding a mile, she has increased how hard she exercises her body (intensity))
And also increased how long she exercises the body (workout time) because the time she spent on 5 miles per day is more than time spent on 4 miles per day
The diameter of his friend's similar wand is 4.5 millimeters shorter than the diameter of Arun's wand. How much wire did his friend need to make the circular part of his wand? Use 3.14 for T. Round to the nearest hundredth.
Answer:
15.9 mm²
Step-by-step explanation:
We solve using Area of the circle formula
Area of a circle = πr²
Diameter of his friend's wand = 4.5mm
Radius = 4.5mm/2
= 2.25 mm
How much wire did his friend need to make the circular part of his wand? Use 3.14 for π
= 3.14 × (2.25mm)²
= 15.89625 mm²
Approximately = 15.9 mm²
solve for the unknown value
Answer:
77
Step-by-step explanation:
180-61-42
Answer:
x = 77°
Step-by-step explanation:
the total among these angles are 180° so add 61 + 42 which equals 103 then subtract it from the total
180° - 103° = 77°
x = 77°
11. The radius of a circle H is 7.5 inches. Calculate the diameter of the circle.
12. The radius of a circle is 8.2 centimeters. Calculate the circumference of the circle.
Answer:
11. 15in
12. 51.52211951887cm
Roll one fair, six-sided die, numbered 1 through 6. Let A be the event you will roll an even number.
Answer:
P(A) = 1/2
Step-by-step explanation:
The question seems incomplete, I assume that we want to find the probability of event A.
Here we have a fair six-sided dice, so each one of the six numbers has exactly the same probability of being rolled.
Such that the possible outcomes of rolling the dice is:
{1, 2, 3, 4, 5, 6}
Now we define event A as rolling an even number.
The possible outcomes such that the event A is true are the even numbers:
{2, 4, 6}
So we have 3 outcomes out of 6.
Then the probability of rolling an even numbers, is just the quotient between the number of outcomes of even numbers (3) and the total number of outcomes (6).
Then:
P(A) = 3/6 = 1/2 = 0.5
PLSS HELP ME CUS YES
Answer:
Angle g = 90°
Angle between x and G = 30°
Angle x= 180-(90+30)
= 180-120=60°
which expression is equivalent to
-3x + 6y + 7x - 14?
A. -10x - 14
B. 2(2x+3y-7)
C. 4x - 6y + 14
D.4x + 6y - 14
E. 10x + 6y - 14
I'll give brainlist
D.4x + 6y - 14
This is the answer
You got paid
$45 to babysit your
nephew for 5 hours.
How much did you
get paid per hour?
Answer:
You get paid $9 per hour
Step-by-step explanation:
pretty easy i just need to know if i put these in the right order please help !
Answer:
the cone is not a prism, as it is not a cylinder. the star prism(lookimg like thing) is. alsp it is circular so it cannot be a prism(like the cylinder)
if a 30 foot wire is attached to the top of a 12 foot pole and stretched to the ground, find the angle the wire makes with the ground
Answer:
52 degrees
Step-by-step explanation:
Answer:
52 degrees sorry if that's wrong
NO LINKS!!! PLEASE HELP ILL GIVE BRAINLIEST
Answer:
for number one it is 6
for number two it is 48
Step-by-step explanation:
please mark brainliest
Answer:
Step-by-step explanation:
1. 3 · 2 (First power) = 3 · 2 = 6
2. 3 · 2 (Fourth power) = 3 · 16 = 48
Help me plzzz
Stefan bought 3 hamburgers and 4 fries for a total cost of $26.50.
Answer:
6.50
Step-by-step explanation:
Answer:
6.50
Step-by-step explanation:
the 7 one is too high to make sense and the rest are to low to make sense its a multiple choice question so it probably one mark for correct answer
Help me please me it had to be rights
Answer:
x ≤ -7
Step-by-step explanation:
A rectangular prism has a length of 18 meters, a height of 3 meters, and a width of 4 meters. What is its volume, in cubic meters?
Answer:
216m^3
Step-by-step explanation:
find the area of the face 12m
times the face by the length
18×12=216
Answer:
216 meters³
Step-by-step explanation:
L=18 H=3 W=4
V=LWH
V=(18)(4)(3)
V=216 meters³
Which of the following equations has 4 as a possible value of z?
Answer:
a
Step-by-step explanation:
4 to the power of 4 is just 4x4 which equals 16
What is the slope of the line on the graph
Answer:
[tex]\displaystyle m = \frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph
Point (-4, 0)
Point (0, 2)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{2- 0}{0- -4}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{2}{4}[/tex][Fraction] Simplify: [tex]\displaystyle m = \frac{1}{2}[/tex]Please please help me !!!
Answer:
D - x=y/12
Step-by-step explanation:
So lets just take one set of data from the table.
This is all we need.
So I am just going to set our values to:
x = 21
y = 252
Now lets plug this into each equation, ands ee if it is accurate or not:
21=12+252
=
21=264
Thats not right! Lets try the next one:
21 = 252/12
=
21 = 21
Thats correct! Lets just try the other ones anyway:
21 = 252 - 12
=
21=240
Thats not right! Lets try the last one:
21 = 12*252
=
21 = 52,424
That is most definatly not right!
So the answer is B, x=y/12
Hope this helps!
Consider these statements.
1. AB and AC are two sides of AABC and AB = AC
2. If two sides of a triangle are congruent, then the triangle is an
isosceles triangle.
Which conclusion can be drawn from these statements using
deductive reasoning?
A
m2ABC + m2ACB 90
B
AABC is an isosceles triangle.
с
Points A, B, and C are collinear.
BC = AC
Answer:
B
Step-by-step explanation:
if we match the two informations we can say that the triangle is isosceles
The ratio of dogs to cats at the animal shelter is 2:5. If there are 35 cats, how many dogs are there?
Answer:
Step-by-step explanation:
there are 18 dogs
Answer:
14
Step-by-step explanation:
So the ratio of dogs (2) to cats (5) is 2:5
How did we go from 5 to 35?
Multiply by 7
So multiply 2 with 7 which is 14
So there are 14 dogs
Hope this helps!
Find x such that x, 56, 65 is a Pythagorean triple.
Help ASAP
Answer: 59
Step-by-step explanation:
Answer:
x = 33
Step-by-step explanation:
b^2 = c^2− a^2 = 652 − 562 = 4225 − 3136 = 1089 =33^2
Let a and b be real numbers where a 4640. Which of the following functions could represent the graph below?
Of(x) = x(x – a)2(x – 634
f(x) = x(x – a) (x - b)2
f(x) = AX - a)(x – b)2
F(X) = x2(x - a) 5(x – b)
