Answer:
Slop of the line M = -2
Step-by-step explanation:
Given coordinates;
(-1 , 1) , (3 , -7)
Find:
Slop of the line
Computation:
We know that;
x1 = -1
x2 = 3
y1 = 1
y2 = -7
Slop of the line M = Δy / Δx
Slop of the line M = (y2 - y1) / (x2 - x1)
Slop of the line M = (-7 - 1) / [3 - (-1)]
Slop of the line M = (-8) / [3 + 1]
Slop of the line M = (-8) / (4)
Slop of the line M = -2
As shown in the figure below, Mary is looking at a tree that is leaning at an angle of 84º with respect to the ground. The angle
of elevation from where Mary is standing to the top of the tree is 49º. The length of the tree is 55 feet. Find the distance, x,
from Mary to the base of the tree. Round your answer to the nearest tenth of a foot.
55 ft
I feet
Х
?
84
49°
Х.
Answer:
r his
Step-by-step explanation:rfrfrefeffrefeferfeferfe
A soda company spends $1200 per day on business expenses plus $1.10 per bottle.
They charge $2.50 for each bottle of soda they produce. How many bottles of soda
must the company sell in one day in order to equal its daily costs?
Answer: Hi
Step-by-step explanation:
Cost Price per bottle : $1.10
Selling price per bottle : $2.50
2.50 - 1.10 = 1.40
$1200=1.40B
B=858
The company must sell 858 Soda´s in order to equal it daily cost.
Hope this help. Be safe
2x-14 factorise fully
Answer:
2(x-7)
Step-by-step explanation:
Factor 2x−14
2x−14
=2(x−7)
Answer:
2(x−7)
Determine the center and radius of the following circle equation:
x2 + y2 – 10x + 8y + 40 = 0
Answer:
The center of this circle is (5, -4) and the radius is 1.
Step-by-step explanation:
First regroup these terms according to x and y :
x^2 - 10x + y^2 + 8y = -40
Next, complete the square for x^2 - 10x: x^2 - 10x + 5^2 - 5^2.
and the same for y^2 + 8y: y^2 + 8y + 16 - 16
Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:
x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.
Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:
Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:
(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:
(x - 5)^2 + (y + 4)^2 = 1
This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Matching like terms, we get h = 5, k = -4 and r = 1.
The center of this circle is (5, -4) and the radius is 1.
Answer:
Center (5,-4) Radius = 1
Step-by-step explanation:
Put it in the form of the standard circle equation after dividing everything by 2. (-10x/2=-5x) (8y/2=4y) Since the radius wasn't given, it's just going to be a 1.
(x-5)^2+y(-(-4))^2 = 1^2
Hence, center (5, -4) and radius 1.
Find the area of a square with a length of 3.5 centimeter
Answer:
12.25 cm²
Step-by-step explanation:
(3.5 cm)² = 12.25 cm²
4x - 6 + x + 3
ASAP BRAINLIEST
Answer:
5x - 3
Step-by-step explanation:
Add like terms: (4x + x) + (-6 + 3) = 5x - 3
Answer:
3x-3
Step-by-step explanation:
combine like terms, 4x-x=3x and -6+3=-3
Unit 2: Sequences
Create a recursive rule and an explicit rule for
the sequence below. Then find the 15th term.
7, 11, 15, 19, ...
Create a recursive rule and an explicit rule for
the sequence below. Then find the 15th term.
3, 12, 48, 192, ...
Recursive Rule:
Recursive Rule:
Explicit Rule:
Explicit Rule:
15th term
15th term:
Answer:
steps below
Step-by-step explanation:
7, 11, 15, 19 ...
common difference (d) = 11-7 = 4
Recursive rule: A(n) = A(n-1) + d = A(n-1) + 4
Explicit rule: A(n) = A(1) + d * (n-1) = A(1) + 4 *(n-1) = 7 + 4 * (n-1) = 4n + 3
15th term: A(15) = 4 * 15 + 3 = 63
Find the exact volume of the cylinder. 8mm. 8mm
Answer:
V≈2.14×106
Step-by-step explanation:
i looked up volume of a cylinder, do the same.
Convert (4, 3π/2) to rectangular form.
A) (0,4)
B) (0, -4)
C) (-4,0)
D) (4,0)
Answer:
(0, -4)
Step-by-step explanation:
The rectangular form is expressed as;
x = rcos theta
y = rsin theta
Given the coordinate (4, 3π/2)
r = 4
theta = 3π/2
Substitute
x = 4cos3π/2
x = 4cos270
x = 4(0)
x = 0
y= 4sin3π/2
y = 4sin270
y = 4(-1)
y = -4
Hence the required coordinate is (0, -4)
What is the sum of 1 1/2 + 4 1/2+ 3 1/2?
Answer:
[tex]9\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{2} +4\frac{1}{2} +3\frac{1}{2}[/tex]
[tex]\frac{3}{2} +4\frac{1}{2} +3\frac{1}{2}[/tex]
[tex]\frac{3}{2} +\frac{9}{2} +3\frac{1}{2}[/tex]
[tex]6+3\frac{1}{2}[/tex]
[tex]6+\frac{7}{2}[/tex]
[tex]\frac{19}{2}[/tex]
[tex]9\frac{1}{2}[/tex]
Answer:
[tex]9\frac{1}{2}[/tex] or 9.5
Step-by-step explanation:
1.5 + 4.5 + 3.5 = 9.5
[tex]\frac{3}{2} + \frac{9}{2} + \frac{7}{2} = 9\frac{1}{2}[/tex]
[tex]\huge\boxed{Mark as Brainliest\hookedleftarrow}[/tex]
What is Limit of StartFraction x cubed minus 1 Over x minus 1 EndFraction as x approaches 1? 0 1 3 DNE
Answer:
D.
(DNE)
Step-by-step explanation:
when you plug in 1 to the denominator, 1 minus 1 becomes 0. a fraction with 0 as the denominator does not exist.
The limit of the function f(x)=[tex]x^{3}-1[/tex]/x-1 as x approaches 1 is 3.
What is limit?Limit is the value that a function approaches as the value of variable approaches some value. They are essential to calculas and mathematical analysis and are use to define continuity , derivatives and integrals. It can change value of function at different values of x.
How to find limit?We have been given a function f(x)=[tex]x^{3}-1[/tex]/x-1 and we have to find the limit of function.
F(x)=[tex]x^{3} -1[/tex] /(x-1) [[tex]x^{3} -y^{3} =x^{2} +y^{2} +xy[/tex]]
[tex]\lim_{x \to \0}x^{3}-1/x-1[/tex]
[tex]\lim_{x \to \0} (x-1)(x^{2} +1+x)[/tex]/x-1
[tex]\lim_{x \to \0} x^{2} +x+1[/tex]
change limit by putting x=1-h
[tex]\lim_{h \to \0} (1-h)^{2} +1+1-h[/tex]
Put the value of h=0.
=1+1+1
=3
Hence the limit of the function [tex]x^{3}-1/x-1[/tex] is 3.
Learn more about limits at https://brainly.com/question/27517662
#SPJ2
There are eight boys and eight girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different student
to answer another question. The first
student is a boy and the second student is a
girl.
Answer:
Independent events - Random selection of one
student - Selection of one boy to answer first question
Dependent Event - Selection of a girl student
Probability = 13.33 %
Step-by-step explanation:
The complete question is
Determine whether the scenario involves independent or dependent events. Then find the probability
There are eight boys and eight girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different student
to answer another question. The first
student is a boy and the second student is a
girl.
Solution
Independent events - Random selection of one
student - Selection of one boy to answer first question
Dependent Event - Selection of a girl student
Probability
8C1 + 8C1/16C2
(8+8) /(8*15)
13.33 %
Find the axis of symmetry and the vertex of the graph of f (x) = x^2 - 16 + 55
Hi there!
»»————- ★ ————-««
I believe your answer is:
Vertex: (0, 39)
Axis of Symmetry: x = 0
»»————- ★ ————-««
Here’s why:
I have graphed the equation on a program. When graphed, the the lowest point lies on the point (0, 39). This makes (0, 39) the vertex.⸻⸻⸻⸻
The axis of symmetry is a vertical line that intercepts the vertex. The vertical line makes the parabola seem 'symmetrical'. The 'x' value of the vertex is usually the line of symmetry as well.⸻⸻⸻⸻
The 'x' value of the vertex is '0', so the axis of symmetry is [tex]x = 0[/tex].
⸻⸻⸻⸻
See the graph that I have attached.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
For equation:
[tex]f(x)=x^2-16x+55[/tex]
Vertex: [tex](8,-9)[/tex]
Axis of symmetry, ([tex]x=8[/tex])
For equation,
[tex]f(x)=x^2-16+55[/tex]
Vertex:[tex](0,39)[/tex]
Axis of symmetry, ([tex]x=0[/tex])
Step-by-step explanation:
The x-coordinate of the vertex of a parabola indicates the line of symmetry of the parabola. Thus, to solve this problem, one must find the vertex of the parabola. This can be done through a process called completing the square.
Completing the square is a process that converts a quadratic equation in standard form into vertex form. The first step is to group the linear and quadratic terms. Then factor out the coefficient of the quadratic term. After doing so, add a term to make the group a perfect square trinomial, then balance the equation.
Possibility 1
If the given equation is the following,
[tex]f(x)=x^2-16x+55[/tex]
Group,
[tex]=(x^2-16x)+55[/tex]
There is no quadratic term, thus, complete the square,
[tex]=(x^2-16x+64)+55-64[/tex]
Simplify,
[tex]=(x-8)^2-9[/tex]
Vertex: [tex](8,-9)[/tex]
Axis of symmetry, ([tex]x=8[/tex])
Possibility 2
If the given equation is the following,
[tex]f(x)=x^2-16+55[/tex]
Combine like terms,
[tex]=x^2+39[/tex]
Put in vertex form,
[tex]=(x)^2+39[/tex]
Vertex:[tex](0,39)[/tex]
Axis of symmetry, ([tex]x=0[/tex])
I need help with this question! I will vote brainliest!
Answer:
1. -10
2. -12x+8
Step-by-step explanation:
hope this helps :)
What can the answer be?
Answer:
35
Step-by-step explanation:
Trust me. The two triangles are equivalent, so 90+55=145
180-145=35
A pet store has 52 freshwater fish. Of all the fish in the store, 80% are freshwater fish. How many fish does the store have in all
plz help me understand this question thankyou
Answer:
The mistakes were on points C and D
Step-by-step explanation:
Point C was graphed on (5,8) when it's supposed to be plotted on (5,7). Point D was on (-3,-4) but was supposed to be on (-4,-3?
Answer:
The mistakes are Point C and D
2. Which of the following is a quadratic function?
O f(x) = 2x + 5
O f(x) = 22
O f() = 0x2 + 3x – 6
Of(x) = 3 - 422
What is the numerator called in a percent problem? What is the denominator called in a percent problem ?
PLEASE I NEED HELP NOW!!!
Answer:
A percentage or percent for short is a fraction; a fraction that always has the denominator as 100. Because the denominator of a percent is always a 100, no matter what the numerator is, we replace 100 with the percent symbol % after the number. By definition, for any number x, x% = x100.
Step-by-step explanation:
Use equivalent ratios to find the unknown value.
Answer:
66 is equal to K
Step-by-step explanation:
if 4 times 6 equal 24
then 11 time 6 equals 66
in this case, the scale factor is 6.
Have a wonderful day!
Answer:
K = 66
Step-by-step explanation:
[tex]\frac{k}{24} = \frac{11}{4}[/tex]
when taking a look at this, first try to see if you can solve the denominator.
24 to 4 equals 6 meaning you divide k by 6 will be equal to 11
Then 11 x 6 = 66!!
Mark me as brainliest!!
Math Tutor Pay: $11.44 per hour
they work 13 hours
how much do they get paid in a-
per week
per month
per year
Answer:
Per week: $1041.04Per month: $4610.32Per year: 55323.84Answer:
1041$/1W(M-Sun)
892$/1W(M-SAT)
744$/1W(M-Fri)
Step-by-step explanation:
Go to sleep stoo naughty
Solve for x.Enter the solutions from least to greatest. 3x^2+4=436
Answer:
Step-by-step explanation:
10.
Complete.
y^2 + 15y + 56 = (y + 7)(y + )
A. 8
B. –7
C. –8
D. 7
Answer:
I would go with letter B. -7
Step-by-step explanation:
The two factors of a quadratic equation can be multiplied to form the original equation. Let the missing term be a:
y² + 15y + 56 = (y + 7)(y + a)
y² + 15y + 56 = y² + (7 + a)y + 7a
...............................................................................................................................................
Step by Step Solution
More Icon
Reformatting the input :
Changes made to your input should not affect the solution:
Step by step solution :
STEP 1 :
Trying to factor by splitting the middle term
1.1 Factoring y2+14y+49
The first term is, y2 its coefficient is 1 .
The middle term is, +14y its coefficient is 14 .
The last term, "the constant", is +49
Step-1 : Multiply the coefficient of the first term by the constant 1 • 49 = 49
Step-2 : Find two factors of 49 whose sum equals the coefficient of the middle term, which is 14 .
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 7 and 7
y2 + 7y + 7y + 49
Step-4 : Add up the first 2 terms, pulling out like factors :
y • (y+7)
Add up the last 2 terms, pulling out common factors :
7 • (y+7)
Step-5 : Add up the four terms of step 4 :
(y+7) • (y+7)
The solution is:
y = -7
The solution is:
y = -14 / 2 = -7
Please help ASAP
1.
Three times a number equals 40 more than five times the number what is the number
2.
A number equals four less than three times the number what is the number?
Answer:
Step-by-step explanation:
Here is a equation find x. (Please help this is due in 30 minutes!!)
-3x+7=1
Answer:
the answer is 2
-3x+7=1 x=2
What is the slope of the line?
Answer:
7/4
Step-by-step explanation:
the slope rises 7 units then goes to the right of 4 units
Which of the expressions below are equivalent? 8x - 4 4x 4(2x - 1)
A linear relationship is shown in the graph.
Which equation best represents the relationship between x and y?
will give brainly
Which sentence contains an error in the use of a restrictive clause?
How could you correct this error?
Find the measure of the arc or angle indicated.
GEOMETRY
Thank you!
Answer:
89°
Step-by-step explanation:
By inscribed angle theorem:
[tex]m\angle ZXY =\frac{1}{2} \times 178\degree \\ \\ m\angle ZXY =89\degree [/tex]
Please help ASAP thank you!
Answer:
y < 3
Step-by-step explanation:
If you put the equation on a graphing calculator it shows that.
Please give me BRAINLIEST and THANKS <(￣︶￣)>