Answer:
Angle 1 = 128
Angle 2 = 52
Angle 3 = 68
Angle 4 = 60
Angle 5 = 124
Step-by-step explanation:
Had to use supplementary theorem, vertical angles theorem, and that the angles of a triangle add up to 180.
I hope this helps!
can someone help wit this asap i have 10 more mins
A is the correct answer
A line intersects the points (3,-4) and (1,2).What is the slope intercept equation for this line
Answer:
y=-3x+5
Step-by-step explanation:
y=mx+b
m=(-4-2)/(3-1)=-3
b=y-mx
b =-4 - (3)(-3)
b=-4+9
b=5
if 2x + 5y = -5 what is x if y = -5
HELP ASAP
Answer:
x=10
Step-by-step explanation:
first substitute y with the value (-5)
2x+5(-5)=-5 which is simplified to 2x+-25=-5
add 25 to -5 which gives you 2x=20
then divide 20 by 2 which makes x=10
Anyone know the answer
Answer:
18 deg
Step-by-step explanation:
pi in radians = 180 deg
180/10 would be 18
hope that helps
Please Show Your Work All My Points Please Help Me!!!!! 6x^2+8x-6=2-2x-2
Answer:
6x^2+10x-6=0
Step-by-step explanation:
First, you need to add all like terms:
6x^2+8x-6=-2x
Now move the -2x to the other side:
6x^2+10x-6=0
Answer:
x =(-5+√61)/6= 0.468
or:
x =(-5-√61)/6=-2.135
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*x^2+8*x-6-(2-2*x-2)=0
Step by step solution :
STEP 1 :
The Equation at the end of step 1
(((2•3x2) + 8x) - 6) - -2x = 0
STEP 2 :
STEP 3 :
Pulling out like terms
3.1 Pull out like factors :
6x2 + 10x - 6 = 2 • (3x2 + 5x - 3)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 + 5x - 3
The first term is, 3x2 its coefficient is 3.
The middle term is, +5x its coefficient is 5.
The last term, "the constant", is -3
Step-1: Multiply the coefficient of the first term by the constant 3 • -3 = -9
Step-2: Find two factors of -9 whose sum equals the coefficient of the middle term, which is 5.
-9 + 1 = -8
-3 + 3 = 0
-1 + 9 = 8
Observation: No two such factors can be found !!
Conclusion: Trinomial can not be factored
The Equation at the end of step 3 :
2 • (3x2 + 5x - 3) = 0
STEP 4 :
Equations which are never true:
4.1 Solve : 2 = 0
This equation has no solution.
A non-zero constant never equals zero.
Parabola, Finding the Vertex:
4.2 Find the Vertex of y = 3x2+5x-3
Parabolas have the highest or lowest point called the Vertex. Our parabola opens up and accordingly has the lowest point (AKA absolute minimum). We know this even before plotting "y" because the coefficient of the first term, 3, is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x-intercepts (roots or solutions) of the parabola. That is if the parabola has indeed two real solutions.
Parabolas can model many real-life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that an object, thrown upwards, can reach. For this reason, we want to be able to find the coordinates of the vertex.
For any parabola, Ax2+Bx+C, the x -coordinate of the vertex is given by -B/(2A). In our case, the x coordinate is -0.8333
Plugging into the parabola formula -0.8333 for x we can calculate the y -coordinate :
y = 3.0 * -0.83 * -0.83 + 5.0 * -0.83 - 3.0
or y = -5.083
Parabola, Graphing Vertex, and X-Intercepts :
Root plot for : y = 3x2+5x-3
Axis of Symmetry (dashed) {x}={-0.83}
Vertex at {x,y} = {-0.83,-5.08}
x -Intercepts (Roots) :
Root 1 at {x,y} = {-2.14, 0.00}
Root 2 at {x,y} = { 0.47, 0.00}
Solve Quadratic Equation by Completing The Square
4.3 Solving 3x2+5x-3 = 0 by Completing The Square.
Divide both sides of the equation by 3 to have 1 as the coefficient of the first term :
x2+(5/3)x-1 = 0
Add 1 to both side of the equation :
x2+(5/3)x = 1
Now the clever bit: Take the coefficient of x, which is 5/3, divide by two, giving 5/6, and finally square it giving 25/36
Add 25/36 to both sides of the equation :
On the right-hand side we have :
1 + 25/36 or, (1/1)+(25/36)
The common denominator of the two fractions is 36 Adding (36/36)+(25/36) gives 61/36
So adding to both sides we finally get :
x2+(5/3)x+(25/36) = 61/36
Adding 25/36 has completed the left-hand side into a perfect square :
x2+(5/3)x+(25/36) =
(x+(5/6)) • (x+(5/6)) =
(x+(5/6))2
Things which are equal to the same thing are also equal to one another. Since
x2+(5/3)x+(25/36) = 61/36 and
x2+(5/3)x+(25/36) = (x+(5/6))2
then, according to the law of transitivity,
(x+(5/6))2 = 61/36
We'll refer to this Equation as Eq. #4.3.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x+(5/6))2 is
(x+(5/6))2/2 =
(x+(5/6))1 =
x+(5/6)
Now, applying the Square Root Principle to Eq. #4.3.1 we get:
x+(5/6) = √ 61/36
Subtract 5/6 from both sides to obtain:
x = -5/6 + √ 61/36
Since a square root has two values, one positive and the other negative
x2 + (5/3)x - 1 = 0
has two solutions:
x = -5/6 + √ 61/36
or
x = -5/6 - √ 61/36
Note that √ 61/36 can be written as
√ 61 / √ 36 which is √ 61 / 6
Solve Quadratic Equation using the Quadratic Formula
4.4 Solving 3x2+5x-3 = 0 by the Quadratic Formula.
According to the Quadratic Formula, x, the solution for Ax2+Bx+C = 0, where A, B, and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 3
B = 5
C = -3
Accordingly, B2 - 4AC =
25 - (-36) =
61
Applying the quadratic formula :
-5 ± √ 61
x = —————
6
√ 61, rounded to 4 decimal digits, is 7.8102
So now we are looking at:
x = ( -5 ± 7.810 ) / 6
Two real solutions:
x =(-5+√61)/6= 0.468
or:
x =(-5-√61)/6=-2.135
HOPE THIS HELPS!
PLEASE MARK BRAINLIEST IF THIS HELPED YOU LEARN! :)
In a certain country, the true probability of a baby being a girl is 0.479. A mound the next four randomly selected births in the country, what is the probability that at least one of them is a boy ? Round to 3 decimal places as needed
Answer:
0.947
Step-by-step explanation:
We are told that the true probability of a baby being a girl is 0.479.
This means that probability of a baby being a boy is;
p = 1 - 0.479
p = 0.521
Now,using binomial probability distribution formula we can solve this problem.
P(X=x) = C(n, x) × p^(x) × (1 - p)^(n - x)
We are told that a mound the next four randomly selected births in the country, what is the probability that at least one of them is a boy.
This is;
P(X ≥ 1) = P(1) + P(2) + P(3) + P(4)
P(1) = C(4, 1) × 0.521^(1) × (1 - 0.521)^(4 - 1)
P(1) = 0.229
P(2) = C(4, 2) × 0.521^(2) × (1 - 0.521)^(4 - 2)
P(2) = 0.3737
P(3) = C(4, 3) × 0.521^(3) × (1 - 0.521)^(4 - 3)
P(3) = 0.27096
P(4) = C(4, 4) × 0.521^(4) × (1 - 0.521)^(4 - 4)
P(4) = 0.0737
Thus;
P(X ≥ 1) = 0.229 + 0.3737 + 0.27096 + 0.0737
P(X ≥ 1) = 0.94736
P(X ≥ 1) ≈ 0.947
What is the coefficient of this expression?
3 + 4y +5
Your answer:
3
4
5
x
(Need nOw!!)
Answer:
4
Step-by-step explanation:
Define coefficient:
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4xy).
Hope this helped.
HELPPPPPPP ASAPPPPPPPP PLSSSS
Answer:
the first one is. hope helps
Write the equation of the line that is parallel to the line y= 3x+ 6 and passes through the point (4, 7).
Answer:
Is this slope?
Step-by-step explanation:
Answer:
y = 3x - 5
Step-by-step explanation:
Let the equation be y = mx + c
Since the equation is parallel to y = 3x + 6, gradients of the two eqns are the same
therefore, m = 3
sub (4, 7):
7 = 3(4) + c
c = -5
therefore, equation of the line is y = 3x - 5
BRAINLY. what is the equation of the line in slope intercept form
its the picture bbhjbhvuvhvguvuggyctct love you
Answer:
o
Step-by-step explanation:
Answer:
59.3sq ft
Step-by-step explanation:
What is the given point on the line of this equation y +2 = 5/3(x-3)
Answer:
6
Step-by-step explanation:
Solve x then y after..
3 1/2 gal = how many qt?
3
EACH STUDENT BELOW MADE AN ERROR IN THEIR WORK WHEN SOLVING THEIR
EQUATION. USE THE TYPING TOOL TO ANSWER THE QUESTIONS IN EACH WHITE BOX.
CULLEN
SERAPHINA
JASPER
-6n + 22 = -4n + 14
- 10n + 22 - 14
-10n = -8
8.4y - 6.8 - -3.2y + 16.4
11.6y - 6.8 - 16.4
11.6y = 23.2
y = 11.6
26 - 32 - - +32
26 - 32 = 32
n - 0.8
b-8
VARIABLES ON BOTH SIDES
DESCRIBE CULLEN'S MISTAKE
DESCRIBE SERAPHINA'S MISTAKE:
DESCRIBE JASPER'S MISTAKE:
WHAT IS THE CORRECT SOLUTION?
WHAT IS THE CORRECT SOLUTION?
WHAT IS THE CORRECT SOLUTION?
More the detto, 2019
Answer:
1) -6·n - (-4·n) = -10·n (The double negative should change to positive + sign here)
-6·n - (-4·n) = -6·n + 4·n = -2·n
The correct solution is;
n = 4
2) y = 23.2 - 11.6 = 11.6, y = 11.6 (Seraphina's mistake is that subtraction was done rather than the division as shown here)
The correct solution is;
y = 2
Step-by-step explanation:
The given parameters are
-6·n + 22 = -4·n + 14
22 - 14= 6·n - 4·n = 2·n
8 = 2·n
n = 8/2 = 4
Cullen's mistake is as follows;
-6·n + 22 = -4·n + 14
-6·n - (-4·n) = -22 + 14
-6·n + 4·n = -22 + 14 (The double negative should change to positive + sign here)
-2·n = -8
n = -8/(-2) = 4
n = 4
2) 8.4·y - 6.8 = -3.2·y + 16.4
8.4·y - (-3.2·y) = -(- 6.8) + 16.4
11.6·y = 23.2 → y = 23.2 - 11.6 = 11.6, y = 11.6 (Seraphina's mistake is that subtraction was done rather than the division as shown here)
y = 23.2/11.6 = 2
y = 2
3) The last equation has parts missing
Answer:
the answer is y=3.88894
Step-by-step explanation:
Write the slope intercept form of the equation of the line
Answer:
y= x + 2
Step-by-step explanation:
£3 will buy 5 meals for one person.
(a) work out the cost of one meals
give an answer in pence
I will mark brainest for the working out pls and it has to be the correct answer and working out.
I need a answer asap (as soon as possible)
I had four numbers: 12, 8, 4, and ????? However, I remember that their average was 11. Please, help me to remember the number that I forgot!!! The number that our old math teacher forgot is
Answer:
The number was 20
Step-by-step explanation:
As the average is 11 and the numbers are 4, so the total sum of numbers will be 11X4=44. now the sum of three numbers are (20+8+4)=24. So the last number will be= (44-24)=20. :)
Answer:
20, 12,8,4 average out to 11
Step-by-step explanation:
omni average calculator on google will help :)
5 is not more than x
Answer:10
Step-by-step explanation: 5 + x is 10 because x is a verable
Karim wants the shed to be at least 4 feet wide. Now what are the possible
whole number side lengths for the shed that will cover an area of 36 square
feet?
Answer:
9
Step-by-step explanation:
because area = length times with so it also means area divided by with with = length
What is the length of BC in the right triangle below? B 18 A с 80
A. 1512
B. 98
C. 82
D. 3624
E. 6724
F. 14
Answer:
c
Step-by-step explanation:
cc
The length of BC in the right triangle is 82 units
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
From the given triangle the line segment AB is 18 units
AC is 80 units
We have to find BC
By using pythagoras theorem we find the length of segment BC
BC²=AB²+AC²
BC²=18²+80²
BC²=324+6400
=6724
BC=√6724
BC=82
Hence, the length of BC in the right triangle is 82 units
To learn more on trigonometry click:
https://brainly.com/question/25122835
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Match the function below with its corresponding graph or value
Answer:
Step-by-step explanation:
c 11). f(x) = - 5x ; f(4) = - 5(4) = - 20
e 12). f(x) = - x - 3 ; f(8) = - 8 - 3 = - 11
b 13). f(x) = 8 + 3x - 5 ; f(- 6) = 3(- 6) + 3 = - 15
a 14). f(x) = [tex]\frac{1}{3}[/tex] x - 4 ; y-intercept is (- 4) and slope of the line is less than 1
f 15). f(x) = 3 - 3x ; y-intercept is 3 and slope of the line is ( - 3) ⇒ line is going down
A survey of Mr. Thorne’s class shows that 5 out of 8 students will buy lunch today. Based on this result, how many of the 720 students in the school will buy today?
Number of student lunch today is 450 students
Given:
Fraction of student lunch today = 5/8
Total number student = 720 students
Find:
Number of student lunch today
Computation:
Number of student lunch today = Fraction of student lunch today × Total number student
Number of student lunch today = (5/8) × (720)
Number of student lunch today = (5) × (90)
Number of student lunch today = 450 students
Learn more:
https://brainly.com/question/12816397?referrer=searchResults
At the annual dog show, Chantel noticed that there were three more Scotties than Schnauzers. She also
realized that the number of Wirehaired Terriers was five less than twice the number of Schnauzers. If there
were 78 dogs in all (counting Schnauzers, Scotties, and Wirehaired Terriers), how many Schnauzers were
there? Write and solve an equation.
9514 1404 393
Answer:
(s+3) +s +(2s-5) = 7820 SchnauzersStep-by-step explanation:
Each of the quantities is described in terms of the number of Schnauzers, and that is the number we are asked for. It is convenient to write an equation for the number of Schnauzers. We choose to use s for the variable representing that number.
s = # of Schnauzers
s+3 = # of Scotties, 3 more than the number of Schnauzers
2s-5 = # of Wire-haired Terriers, 5 less than twice the number of Schnauzers
The total number of dogs is then ...
(s+3) +(s) +(2s-5) = 78
4s -2 = 78 . . . . simplify
4s = 80 . . . . . . add 2
s = 20 . . . . . . . divide by 4
There were 20 Schnauzers at the dog show.
0.75h + 3 = 12
What's the answer?
Answer:
h = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
0.75h + 3 = 12
Step 2: Solve for h
Subtract 3 on both sides: 0.75h = 9Divide 0.75 on both sides: h = 12Step 3: Check
Plug in h into the original equation to verify it's a solution.
Substitute in h: 0.75(12) + 3 = 12Multiply: 9 + 3 = 12Add: 12 = 12Here we see that 12 does indeed equal 12.
∴ h = 12 is a solution of the equation.
Answer:
h = 12
Step-by-step explanation:
Given
0.75h + 3 = 12 ( subtract 3 from both sides )
0.75h = 9 ( isolate h by dividing both sides by 0.75 )
h = 12
What is 2x(3+x2) when x = −2?
it would be -4 i think
come back and tell me if im wrong
Does anyone understand this and know what the answer is?
Answer:
y = -3x - 23
Step-by-step explanation:
When a transversal of the two lines is constructed, the alternate interior angles formed by the transversal are congruent. This means line m and n are parallel to each other so their slope will be the same.
Given:
line m: y = -3x + 8 <======= slope is -3
line n going through point (-4, -11) with same slope as line m:
y = mx + b
(-11) = -3(-4) + b
-11 = 12 + b
b = -23 <===== y-intercept of line n
Use the above slope and y-intercept to form equation of line n:
y = mx + b
y = -3x - 23
here are 180 candies in a candy shipment. There are Gobs, Blobs, and Toffees. The bage are made in ratio of 4:2:3 of Gobs, to Blobs to Toffees.
Gobs cost $1.50 each, and blobs cost $2.50 each.
The total cost of all the candy shipment is $430. What is the cost for each toffee?
Answer:
The answer to the cost for each toffee is given below:
Step-by-step explanation:
The computation of the cost for each toffee is shown below:
Given that
There are a total 180 candies hat includes three types in a ratio of 4:2:3
Gobs = 4 ÷ 9 × 180 = 80
Blobs = 2 ÷ 9 × 180 = 40
Toffees = 3 ÷ 9 × 180 = 60
Now the total cost of all the candies shipment is $430
So,
The equation would be
80 × $1.50 + 40 × $2.50 + 60 × per cost = $430
120 + 150 + 60 × per cost = $430
60 × per cost = $430 - $120 - $150
60 × per cost = $160
Per cost is $2.67
So for toffees it would be 160
Which equation has the steepest graph?
a) y = 8x - 6
b) y = 3x + 7
c) y = -9x - 1
d) y = 42 x + 10
30 POINTS!
plz i need help ASAP
pic below...........
..............
look below
Answer:
3
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
Answer:
2.25 or fraction 9/4
Step-by-step explanation:
A ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is 73' 30' 40"
Complete question is;
A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?
Answer:
θ = 70.5°
Step-by-step explanation:
The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.
I've attached a diagram showing the triangle made by this ladder and the wall.
From the attached diagram, we can see the triangle formed by the ladder and the wall.
We can find the angle of elevation θ from trigonometric ratios.
Thus;
7/21 = cos θ
cos θ = 0.3333
θ = cos^(-1) 0.3333
θ = 70.5°