Answer:
-1
Step-by-step explanation:
Slope = (y2 - y1) / (x2 - x1)
Slope = (8 - 5) / (-10 - -7)
Slope = 3 / (-3)
Slope = -1
Question 18 (5 points)
Determine the sum of the measures of the interior angles of a dodecagon (12-sided
polygon).
540°
1,800°
360°
2,160°
Answer:
its 540 bro
Step-by-step explanation:
The amount of potential energy, P, an object has is equal to the product of its mass, m, its height off the ground, h, and the gravitational constant, g. This can be modeled by the equation P = mgh.
What is the equivalent equation solved for h?
StartFraction StartFraction p Over m EndFraction Over g EndFraction equals h. = h
StartFraction p Over m g EndFraction equals h.= h
Pmg = h
StartFraction p Over StartFraction m Over p EndFraction EndFraction equals h. = h
The equivalent equation solved for h is [tex]\frac{P}{mg} = h[/tex]
Subject of FormulaFrom the question, we are to determine the equivalent equation solved for h
From the given information,
The amount of potential energy, P, is modeled by the equation
P = mgh
To determine the equivalent equation solved for h, we will make h the subject of the equation,
From,
P = mgh
Divide both sides of the equation by mg
That is,
[tex]\frac{P}{mg} = \frac{mgh}{mg}[/tex]
∴ [tex]\frac{P}{mg} = h[/tex]
Hence, the equivalent equation solved for h is [tex]\frac{P}{mg} = h[/tex]
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Answer
B
Step-by-step explanation:
Edge 2022
HELP ME PLZ!!
-x - 1 = 221 + 2x
Answer:
[tex]-x\:-\:1\:=\:221\:+\:2x[/tex]
[tex]-x-1+1=221+2x+1[/tex][tex]-x=2x+222[/tex][tex]-x-2x=2x+222-2x[/tex][tex]-3x=222[/tex][tex]\frac{-3x}{-3}=\frac{222}{-3}[/tex][tex]\hookrightarrow Answer:x=-74[/tex]
-------------------------
hope it helps...
have a great day!!
What is the area of this figure
Answer:
247 yd²
Step-by-step explanation:
this figure can be "split" into 3 sub-figures.
2 rectangles and one triangle "at the top".
these 3 areas can be easily calculated, and the we simply sum them all up, and that is the total area.
my approach is to pick the first rectangle to be the one extruding one to the right.
R1 = 11×5 = 55 yd²
the second rectangle is then the rest of the"straight" area up to the beginning of the triangle top
R2 = 8 × (13+5) = 8×18 = 144 yd²
and the area of a triangle is
baseline × height / 2
we can clearly see in our example, it is a right-angled triangle, so the left side is also the height, which is the remainder of the long side of the original figure, when we deduct all the other parts we used for the rectangles.
so, we have
T = 8 × (30 - 5 - 13) / 2 = 8×12/2 = 8×6 = 48 yd²
so, in total we have
F = 55 + 144 + 48 = 247 yd²
PLEASE ANSWER!! I don’t understand
Answer:
[tex]m\angle 2=122^{\circ},\\m\angle 1 = 58^{\circ}[/tex]
Step-by-step explanation:
By definition, tangent lines touch a circle at one point. This one point intersects the circle at a 90 degree angle.
In any circle, the measure of an inscribed angle is exactly half of the arc it forms. Since [tex]\angle 2[/tex] forms an arc labelled 244 degrees, the measure of angle 2 must be [tex]\frac{244}{2}=\boxed{122^{\circ}}[/tex].
Angle 1 and 2 form one side of a line. Since there are 180 degrees on each side of the line, we have:
[tex]\angle 1+\angle 2=180,\\\angle 1 + 122=180,\\\angle 1=180-122=\boxed{58^{\circ}}[/tex]
4. If carbon was the most common element found in the moons and planets, what element is missing that would make them similar to Earth? Explain why. (Hint: Think about the carbon cycle.)
Oxygen
Step-by-step explanation:
That's what I think
Can someone help me with this math homework please!
Answer:
12
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex] x - [tex]\frac{5}{4}[/tex] + 2x = [tex]\frac{5}{6}[/tex] + x
Multiply through by 12 ( the LCM of 2, 4, 6 ) to clear the fractions
6x - 15 + 24x = 10 + 12x
Answer:
12
Step-by-step explanation:
[tex]12( \frac{1}{2}x - \frac{5}{4} +2x= \frac{5}{6} + x)[/tex]
6x-15+24x=10+12x
Identify the parts of the following algebraic expression.
-8z + 1
2
y - 7.7
Term:
Variable:
Coefficient:
Constant:
Answer:
-8z+1
term:2
variable:z
coefficient:-8
constant:1
2
term:1
variable:nil
coefficient:nil
constant:2
y-7.7
term:2
variable:y
coefficient:nil
constant:-7.7
The solution is given below.
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
now, we get,
-8z+1
term:2
variable: z
coefficient:-8
constant:1
again,
2
term:1
variable : nil
coefficient : nil
constant:2
now,
y-7.7
term:2
variable : y
coefficient : nil
constant:-7.7
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Question: Dentify the parts of the following algebraic expression.
-8z + 1
2
y - 7.7
Term:
Variable:
Coefficient:
Constant:
Solve the following simultaneous equations : 5m - 3n = 19; m - 6 = -7
Answer:
m = -1
n= -8
Step-by-step explanation:
5m -3n = 19
m - 6 = -7
solve for m:
m = -7+6
m = -1
plug in m
5(-1) - 3n = 19
-5 - 3n = 19
-3n = 24
n = -8
Benjamin writes an expression for the sum of 1 cubed, 2 cubed, and 3 cubed -- What is the value of the expression? options---
18, 36, 38, or 20-- ANSWER FAST!!!
Answer:
36
Step-by-step explanation:
1^3 + 2^3 + 3^3= 1+8+27
9+27= 36
BRAINLIEST FOR ANSWER WITH EXPLANATION
JUST ONE QUESTION ATTACHED BELOW:
Answer:
m=16
Step-by-step explanation:
(6+6)/m=6/8
12/m=6/8
M=16
Answer:
16
Step-by-step explanation:
This triangle has been dialated; ILM is a dialated version of IJK. We know that dialations are by scale factors, and we also know the length of two corresponding sides.
IM is 6 m long, and IMK is 6+6 m long, so 12 m. So using simple ratios, we know the dialation factor from ILM to IJK is 2. The corresponding side for JK (m) is LM, which we know is 8 m. So side m is 16 because of the scale factor (2).
Maybe you thought we were solving for "m", as in a varriable all the sides are multiplied by, but I think that's just bad labeling. Hope this helps!
If and are the zeroes of the polynomial 2x^2+3x+5 then the value of 1/alpha + 1/beta
Pls answer fast..I’ll mark the brainlest
Answer:
-4/15
Step-by-step explanation:
Mathematically, we know that;
alpha= -b/a and beta = c/a
a refers to the coefficient of the x^2 which is 2
b is the coefficient of x which is 3
c is the last number which is 5
alpha = -b/a = -3/2
beta = c/a = 5/2
1/alpha = -2/3
1/beta = 2/5
so we have the sum as;
-2/3 + 2/5
= -5(2) + 3(2)/15 = (-10 + 6)/15 = -4/15
What is the 7th term in the sequence below?
5, 25, 125, 625, …
A. 78,125
B. 15,625
C. 3,125
D. 825
Answer:
its 3125
Step-by-step explanation:
you multiply it by 5 every time
Answer:
C
Step-by-step explanation:
Help and explain !!!!!!!!!!!!!
Answer:
6x - 15
Step-by-step explanation:
f(x) = 2x + 3 and g(x) = 3x - 9.
[tex]f(g(x))=2(3x-9)+3\\f(g(x))=6x-18+3\\f(g(x))=6x-15[/tex]
List a function that's it's own inverse
==========================================================
Explanation:
If g(x) is the inverse of f(x), and vice versa, then we have these two properties:
f(g(x)) = xg(f(x)) = xSince we want to find a function that is its own inverse, we want f(x) and g(x) to be the same function.
Through trial and error, you should find that f(x) = g(x) = x fit the description.
f(x) = x
f( g(x) ) = g(x) ... replace every x with g(x)
f( g(x) ) = x
You should find that g(f(x)) = x as well.
One possible answer is f(x) = x
---------------------------
Through more trial and error, you should find that f(x) = g(x) = 1/x works as well. In fact, anything of the form f(x) = g(x) = k/x will work.
The proof can be written as follows
f(x) = k/x
f( g(x) ) = k/( g(x) )
f( g(x) ) = k/( k/x )
f( g(x) ) = (k/1) divide (k/x)
f( g(x) ) = (k/1) * (x/k)
f( g(x) ) = x
Through similar steps, you should find that g(f(x)) = x is the case also.
This proves that f(x) = k/x is its own inverse, where k is a real number constant.
Another possible answer is anything of the form f(x) = k/x
If we pick k = 3, then we get f(x) = 3/x which is the answer I wrote above.
You can pick any k value you want.
---------------------------
There may be other types of functions that have this property, but I'm blanking on what they might be.
an apple farm costs $5 to get in and $0.75 per pound of apples, what is the y intercept? (Number answer only, no symbols)
Answer:
(0, 5).
Step-by-step explanation:
$5 is the base fee, so when x = 0, y = 5. 0.75 won't come into play yet.
(x+4y)^(6)
Can Someone please me how to do this PLEASE!
We can use SOH-CAH-TOA for
A. Any triangle ever
B. Non-right triangle only
C. right triangle only
D. Never
Answer:
C. right triangle only
Step-by-step explanation:
Other triangles use other laws such as law of cosines or sines to solve them. Right triangles exclusively use SOH-CAH-TOA because side opposite to 90 degree is always hypotenuse.
Si 4/9 de los adolencentes que confirmaron su asitencia fueron varones y 4/5 de las mujeres a pesar que confirmaron su asistencia no participaron y 24 que confirmaron su asistencia si participaron ¿cuantos adolecentes en total confirmaron su asitencia?¿Cuantos adolencentes varones confirmaron su asistencia?
Answer:
216 adolescentes confirmaron su asistencia, de los cuales 120 fueron mujeres y 96 varones.
Step-by-step explanation:
Dado que 4/9 de los adolescentes que confirmaron su asistencia fueron varones, y 4/5 de las mujeres a pesar que confirmaron su asistencia no participaron, y 24 que confirmaron su asistencia si participaron, para determinar cuántos adolescentes en total confirmaron su asistencia y cuántos adolescentes varones confirmaron su asistencia se deben realizar los siguientes cálculos:
5/9 x 1/5 = 24
5/45 = 24
1/45 = 4.8
4.8 x 45 = 216
216 / 9 x 5 = 120
216 / 9 x 4 = 96
Por lo tanto, en total 216 adolescentes confirmaron su asistencia, de los cuales 120 fueron mujeres y 96 varones.
need help asap plsss!!
Step-by-step explanation:
13x - 12 = 7x - 6( remaining side of the similar triangle is equal).
Which graph represents a function?
Answer:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.PLEASE HELP!!!
Verify sin(180°- θ) = sin θ
SHOW WORK!!!
Answer:
see explanation
Step-by-step explanation:
Using the identity
sin(x - y) = sinxcosy - cosxsiny , then
sin(180 - θ)
= sin180cosθ - cos180sinθ
= (0) cosθ - (- 1)sinθ
= 0 + sinθ
= sinθ
a) On the grid draw lines to show
the region satisfied by the three
inequalities
y = x + 1
Inequalities are used to represent unequal expressions
How to determine the grid linesThe inequality is given as;
[tex]y \ge x + 1[/tex]
The above inequality means that the upper part of the graph is shaded, and the line of the graph is a closed line
See attachment for the grid that represents the inequality [tex]y \ge x + 1[/tex]
Read more about inequality at:
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Determine the period
Answer:
It's 10, on acellus :)
Step-by-step explanation:
What is an equation of the line that is parallel to y = 3x - 8 and passes
through the point (4,-5)?
Answer:
[tex]y=3x-17[/tex]
Step-by-step explanation:
Parallel equations always share a slope.
So since we know the slope and a point the equation needs to pass through we can plug in the values and replace -8 with [tex]b[/tex]
[tex]-5=3(4)+b[/tex]
simplify both sides
[tex]-5=12+b[/tex]
isolate the variable
[tex]-17=b[/tex]
plug [tex]b[/tex] back into the equation and you get
[tex]y=3x-17[/tex]
Answer:
y = 3 x + 11
Explanation:
Parallel lines have the same slopes.
The slope of the new line will have the same slope as the given line:
y = 3 x − 4
⇒ m = 3
One point on the line is given,
( − 2 5 ) .
This is ( x 1 y 1 )
The formula for slope is
m = ( change in y values/ change in x-values ) = y 2 − y 1/ x 2 − x 1
If you have the slope and one point , substitute them into a formula which is based on the formula for slope given above.
y − y 1 = m ( x − x 1 )
y − 5 = 3 ( x − ( − 2 ) )
y − 5 = 3 ( x + 2 )
Simplify to get the required equation of the line.
y = 3 x + 6 + 5
y = 3 x + 11
Step-by-step explanation:
Which of the following is a solution to 2sin^(2)x+sinx-1=0
45\deg
200\deg
240\deg
270\deg
330\deg
Hello,
[tex]2*sin^2(x)+sin(x)-1=0\\\Delta=1+4*2*1=9=3^2\\sin^2(x)=\frac{-1-3}{4} =-1\ (impossible)\\or\\sin^2(x)=\frac{-1+3}{4} =\dfrac{1}{2}\\sin(x)=\dfrac{\sqrt{2} }{2} \Longrightarrow (x=45^o\ or\ x=135^o)\\or\\sin(x)=-\dfrac{\sqrt{2} }{2} \Longrightarrow (x=315^o\ or\ x=225^o)\\[/tex]
Answer A : 45°
Completing the Square
Guided Practice
Solve the equation by completing the square. If necessary, round to the nearest hundredth.
2x2 - 10x - 20 = 8
A. 27 - 27
B. 7
C.7, -2
Answer:
C.7, -2
Step-by-step explanation:
A quadratic equation is a polynomial of degree two. A quadratic equation is in the form:
ax² + bx + c = 0; where a, b, c are constants.
Quadratic equation can be solved using different methods, such as completing the square method, quadratic formula.
Solving the equation 2x² - 10x - 20 = 8 using completing the square:
2x² - 10x - 20 = 8
2x² - 10x = 28
Divide through by 2, to make the coefficient of x² to be 1:
x² - 5x = 14
Add to both sides, the square of half of the coefficient of x [i.e. (-5/2)² = 6.25]
x² - 5x + 6.25 = 14 + 6.25
(x - 2.5)² = 20.25
taking square root of both sides:
x - 2.5 = √20.25
x - 2.5 = ±4.5
x = 2.5 ± 4.5
x = 2.5 + 4.5; or x = 2.5 - 4.5
x = 7 or x = -2
If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be
7
18
11
0
Answer:
please mark me brainlist
Step-by-step explanation:
How do I find the area for this shape
Answer:
you do length times width then add them
write the equation of the line in fully simplified slope intercept form
Answer:
y = 2/3x - 6
Step-by-step explanation:
The line goes down 2 and 3 left. The line crosses the y-intercept at -6.