Answer:
x = 3
y = 2
Step-by-step explanation:
3x + 2y = 12
-2x + 3y = 5 to find the solution we will use elimination method and for that, multiply second equation with 3 and the first equation with 2
2 * 3x + 2y = 12
6x + 4y = 24
3 * -2x + 3y = 5
-6x + 9y = 15 now find the sum of both equation:
6x + 4y -6x + 9y = 24 + 15 add like terms
13y = 39 divide both sides by 13
y = 3 now that we found the value of y we can use this to calculate the value of x
3x + 2y = 12 replace y with 3
3x + 2*2 = 12
3x + 4 = 12 subtract 4 from both sides
3x = 9 divide both sides by 3
x = 3
Which function is graphed below?
Answer: The second option, y = 3(1/3)^x
Step-by-step explanation: Input each equation into a graphing calculator (preferably GeoGebra online) and check the answer. I linked the equation, but make sure to check anyway just in case :)
slope of (0,1) and (4,3)
Answer:
1/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-1)/(4-0)
m=2/4
m=1/2
The slope of the given points (0,1) and (4,3) will be ( 1 / 2 ).
What is the slope of the line?
The increase divided by the run, or the ratio of the rise to the run is known as the line's slope. In the coordinate plane, it describes how steep a line is.
The slope of the line is calculated by the formula given below:-
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{3-1}{4-0}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]
Therefore the slope of the given points (0,1) and (4,3) will be ( 1 / 2 ).
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Mr. avanzado has an underground in his house. what unit of measure will he use to find its value
Answer: Volume
Step-by-step explanation:
Write an equation of the line that passes through the point P (2,-2) and is parallel to the line
-2x+y=-3
Step-by-step explanation:
Solution:
The slope of the line -2x+y = -3 is m1 =
- coefficient of x ÷ coefficient of y
= -(-2) ÷1
=2
Then, according to the question ;
It is stated that the lines are parallel
i.e.
m1=m2
or, 2 = m2
Hence, m2 =2
Again,
The required equation of the line passing through the point P(2,-2) = (x1,y1) is
y-y1 = m2(x- x1)
or, y-(-2) = 2(x-2)
or, y+2 = 2x-4
or, 2+4 = 2x-y
or, 2x-y = 6
Therefore; 2x-y = 6.
Find the value of the lettered angle b
Answer:
60°Step-by-step explanation:
30 is an opposite angle (2 angles of 30°)
sum of all angles = 360°
360 - 90 -30 - 150 - 30 = 60°
check
60 + 30 + 150 + 30 + 90 = 360°
the answer is good
Answer:
b = 60
Step-by-step explanation:
A straight line is 180 degrees
30+90+b = 180
Combine like terms
120 +b = 180
b =180-120
b = 60
PLEASE HELP RNNN HELPPPPPPPPPPPP
Answer:
I think favorable outcomes are just the outcomes
which is 6
SR, SB, MR, MB, LR, LB
Step-by-step explanation:
Select the correct answer.
Which calculation correctly uses prime factorization to write √48 In simplest form?
OA √48 = √2-2-2-2-3-2√12
OB. √48√4 - 12 = 2√12
OC. √48 = √2-2-2-2-3= 4√3
OD. √48 =√16-3 = 4√3
D. √48 =√16*3 = 4√3
Simplify the radical by breaking the radicand up into a product of known factors.
16*3 = 48
this means that √48 = √16*3, but this can be simplified.
√16 = 4, √3 = √3 because it cannot be simplified farther
making the most simplified answer 4√3
COMPLETE THE FOLLOWING EQUATION USING APPROPRIATE SIGN ( +,-,x,÷) IN THE BOXES GIVEN:
REMEMBER TO USE (DMAS)
Answer:
) +, -
e) x, ÷
g) ÷
Step-by-step explanation:
Match the verbal expression (term) with its algebraic expression (definition).
Match Term Definition
d
Some number increased by two A) a ÷ 2
c
A variable decreased by two B) y2
e
Product of an unknown value and two C) x − 2
2
Quotient of some number and two D) b + 2
b
An unknown value squared E) 2z
The matching of definitions and terms are done below.
Some number increased by two ⇒ b + 2A variable decreased by two ⇒ x – 2Product of an unknown value and two ⇒ 2zQuotient of some number and two ⇒ a ÷ 2An unknown value squared ⇒ y²What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Match the verbal expression (term) with its algebraic expression (definition).
Some number increased by two ⇒ b + 2
A variable decreased by two ⇒ x – 2
Product of an unknown value and two ⇒ 2z
Quotient of some number and two ⇒ a ÷ 2
An unknown value squared ⇒ y²
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Help me solve the inequality: 2x- 3<2x+2 <3x +5
Answer:
[tex]x > - 3[/tex]
I hope this is helpful
Hey! can someone give me a step-by-step explanation on how to solve this problem correctly? I know for a fact that I did it incorrectly.
Answer:
B. 1:18
Explanation Down Below
Step-by-step explanation:
Hello!
First, let's find the volume of each cylinder by plugging in the given values.
Volume of a Cylinder: [tex]V = \pi r^2h[/tex]
Cylinder ASince the variables are the same as given in the formula, we can just use the formula as the volume.
[tex]\implies{\boxed{{V = \pi r^2h}}[/tex]
Cylinder BWe have to plug in 3r for the radius, and 2h for the height.
[tex]V = \pi r^2 h[/tex][tex]V = \pi (3r)^2(2h)[/tex][tex]V = \pi(9r^2)(2h)[/tex][tex]V = 18\pi r^2h[/tex][tex]\implies \boxed{ V = 18\pi r^2h}[/tex]
RatioWe can see that the Volume of Cylinder B is just 18 times the Volume of Cylinder A, but we can find the same ratio using equations.
[tex]\text{Ratio} = A:B[/tex][tex]\text{Ratio} = \pi r^2h: 18\pi r^2h[/tex][tex]\text{Ratio} = \frac{\pi r^2h}{18\pi r^2h}[/tex][tex]\text{Ratio} = \frac{\not{\pi}\not {r^2}\not{h}}{18\not{\pi}\not{r^2}\not{h}}[/tex][tex]\text{Ratio} = \frac1{18}[/tex][tex]\text{Ratio} =1:18[/tex]The answer is Option B. 1:18.
What is the sum of 4 + (-6)?
Answer:
-2
Step-by-step explanation:
4 + (-6) = -2
Describe the steps you used to solve the equation and
find the amount of Carrie's allowance.
Linear equation: 1/4a+1/3a+8=22
Answer:
a=24
Step-by-step explanation:
Start by subtracting 8 from both sides giving:
1/4a+1/3a=14
Then find a common denominator between the two a terms which is 12 giving:
3/12a+4/12a=14
Combine the two terms:
7/12a=14
Then divide by 7/12 giving you a=24
NEED HELP ASAP PLS!! Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. With reference to the figure, match the angles and arcs to their measures?
Answer:
1) 122 = Angle DFA
2) 144 = Angle COB
3) 124 = CE
4) 58 = EOB
Step-by-step explanation:
I think this is correct. Correct me if im wrong
5. A, b, c plsssssss rn
5a. a° = 128°
5b. b° = 1.3°
5c. c° = 341°
How to determine the unknown sides5a
a° = 128°
This is because parallel angles are equal and angles a° and 128° are parallel to each other
5b
Angles (4b-10)° and (2b - 2)° are equal.
This is because alternate angles are equal and they are alternate to each other
To find b , equate both angles
4b - 10 = 2b - 2
collect like terms
4b + 2b = -2 + 10
6b = 8
Make 'b' subject of formula
b = 8/6
b = 1.3°
5c.
c° is at angle at a point.
19° is alternate to the other part of the point
We have, c° + 19° = 360° (angle at a point)
c° + 19° = 360°
Make 'c' subject of formula
c° = 360° - 19°
c° = 341°
Thus, the unknown angles are given as a = 128°, b = 1.3°, c = 341°
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Based on the graph, which statement is correct about the solution to the system of equations for lines A and B
Answer:
the answer is (3,4) is the solution to line A but not to line b
Question 9 of 10
If f(x)= (3 + x) over (x-3)
what is f(a + 2)?
A. 3+ f(a+2) over f(a)-1
B. (5+ a) over (a-1)
c. (3+a) +2
(a-3)
Answer:
[tex]\huge\boxed{\sf f(a+2)=\frac{5+a}{a-1}}[/tex]
Step-by-step explanation:
Given function:[tex]\displaystyle f(x)=\frac{3+x}{x-3}[/tex]
Put x = a + 2
[tex]\displaystyle f(a+2)=\frac{3+a+2}{a+2-3} \\\\f(a+2)=\frac{5+a}{a-1} \\\\\rule[225]{225}{2}[/tex]
Find the equation of the parabola that has zeros of x = - 6 and x = 6 and a yintercept of (0, 4) .
Which is mostly likely to be the first step in solving a system of nonlinear equations by substitution
Answer: To solve a system of equations by substitution, we can rewrite a two-variable equation as a single variable equation by substituting the value of a variable from one equation into the other. Let’s start by solving the system of equations that we looked at above: x=4 x = 4 y+x=12 y +x = 12
Step-by-step explanation:
Answer:
Isolating a variable in one of the equations.
Step-by-step explanation:
On a coordinate plane, triangle 1 is reflected across the x-axis to form triangle 4, is reflected across a diagonal to form triangle 3, is reflected across the y-axis to form triangle 2.
Use the figure to complete the statements.
Triangle 1 is the image of triangle 2 reflected over the
.
Triangle 2 is the image of triangle 3 reflected over the
.
Reflecting triangle 4 over the y-axis results in triangle
.
The complete statements are; Triangle 1 is the image of triangle 2 reflected over the y-axis. Triangle 2 is the image of triangle 3 reflected over the x-axis. Reflecting triangle 4 over the y-axis results in triangle 3.
How does reflection across axis work?When a graph is reflected along an axis, say x axis, then that leads the graph to go just in the opposite side of the axis as if we're seeing it in a mirror.
If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
Triangle 1 is across from triangle 2. If we make the triangles bisect, they will touch the y-axis.
Triangle 2 is above triangle 3. If we make the triangles bisect, they will touch the x-axis.
we can translate it (a congruent shape that is on a different axis and is the same distance from that axis) and rotate it to 90 degrees.
The complete statements are;
Triangle 1 is the image of triangle 2 reflected over the y-axis.
Triangle 2 is the image of triangle 3 reflected over the x-axis.
Reflecting triangle 4 over the y-axis results in triangle 3.
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In the figure, all, and both lines are intersected by transversal & Complete the statements to prove that m≤1 = m25.
allo (given)
m1+m3=180° (Linear Pair Theorem)
m5+ m6=180° (Linear Pair Theorem)
m1+m3= 5+ 6()
m3=m6()
m1 m5 (Subtraction Property of Equality)
First blank: Substitution or transitive property of equality
Second blank: Subtraction property of equality
Use properties of exponents to simplify the expression. First, express the
answer in exponential form. Then, evaluate the expression.
(1^3) ^4
Step-by-step explanation:
[tex] = { ({1}^{3} )}^{4} [/tex]
[tex] = {1}^{3 \times 4} [/tex]
[tex] = {1}^{12} [/tex]
[tex] = 1[/tex]
3(2x − 8) – 11x
equivalent to
Answer:
-5x - 24
Step-by-step explanation:
3(2x − 8) – 11x =
Distribute the 3.
= 6x - 24 - 11x
Combine like terms.
= -5x - 24
2.8 + 32x + 1 =16.6
Answer:
x = 0.4Step-by-step explanation:
Assuming you are looking for x
2.8 + 32x + 1 = 16.6
32x = 16.6 - 2.8 - 1
32x = 12.8
x = 12.8 : 32
x = 0.4
-----------------------
check
2.8 + 32 * 0.4 + 1 = 16.6
2.8 + 12.8 + 1 = 16.6
16.6 = 16.6
the answer is good
Find the rate of change of the linear function shown in the graph. Then find the initial value.
rate of change is change in y / change in x
(-1 - -3)/ (0 - -6) = 2/6 = 1/3
initial value is the y value when x is 0 , which is -1
Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!
Answer:
D
Step-by-step explanation:
True OR False
---------------------
x + 65 = 87, x = 27?
Answer:
False
Step-by-step explanation:
27+65=92, so false
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: False[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: x + 65 = 87[/tex]
[ subtract 65 on both sides ]
[tex]\qquad \tt \rightarrow \: x + 65 - 65 = 87 - 65[/tex]
[tex]\qquad \tt \rightarrow \: x = 22[/tex]
but according to the statement it says, x = 27
which is proved wrong.
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
A farmer has 32 cows. he puts an equal number of cows in 4 fields. each cow produces 6 gallons of milk. how much milk do the cows in one field produce?
Answer:
48/field
you take 32÷4=8 and then you 8*6=48 each field
The median height of 11 footballers is 1.85m.
Only one footballer has a height of 1.85m
How many footballers have a height under 1.85m
Which of these polygons can be formed by the cross-section created when a plane intersects a pyramid? Select all that are possible.
square
pentagon
circle
rectangle
When a plane intersects a pyramid, the cross-section of polygon created is
Square andRectangleTo answer the question whe need to know what polygons are.
What are polygons?Polygons are shapes with 3 or more sides.
What is a pyramid?A pyramid a four-sided solid with triangular sides and a square base.
What polygons are formed by the cross-section created when a plane intersects a pyramid?When a plane intersects a pyramid parallel to its base, the cross-section created by the plane is a squareAlso, when a plane intersects a pyramid at an angle to its base, the cross-section formed is a rectangle.So, when a plane intersects a pyramid, the cross-section of polygon created is
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