Answers
Answer:
Step-by-step explanation:
[tex]Equation 1\\y-2x=-2\\Equation 2\\8x=-3y-48[/tex]
To begin, solve equation 1 for y:
[tex]y=2x-2[/tex]
Then substitute 2x-2 for y in equation 2:
[tex]8x=-3(2x-2)-48[/tex]
Now solve for x:
[tex]8x=-3(2x-2)-48\\8x=-6x+6-48\\8x=-6x-42\\(8x)+6x=(-6x-42)+6x\\14x=-42\\\frac{14x}{14}=\frac{-42}{14}\\x=-3[/tex]
Substitute this x-value into equation 1:
[tex]y=2x-2\\y=2(-3)-2\\y=-6-2\\y=-8[/tex]
So, the ordered pair that best represents the solution to this system of equations is (-3,-8). This can be proven by substituting these values for x and y into the original equations:
[tex]y-2x=-2\\(-8)-2(-3)=-2\\-8-(-6)=-2\\-8+6=-2\\-2=-2[/tex]
and
[tex]8x=-3y-48\\8(-3)=-3(-8)-48\\-24=24-48\\-24=-24[/tex]
Related Questions
A swimming pool is a shape of a right rectangular prism if the pool is 12 3/4 yards long 5 2/3 yards wide and 9 yards deep what is the volume of the swimming pool
Answers
Answer:
[tex]V=650.25\ yards^3[/tex]
Step-by-step explanation:
Given that,
Length = [tex]12\dfrac{3}{4}\ yards[/tex]
Width = [tex]5\dfrac{2}{3}\ yards[/tex]
Depth = 9 yards
We need to find the volume of the swimming pool. The formula for the volume of a cuboid shape is given by :
[tex]V=lbh\\\\V=12\dfrac{3}{4}\times 5\dfrac{2}{3}\times 9\\\\=\dfrac{51}{4}\times \dfrac{17}{3}\times 9\\\\V=650.25\ yards^3[/tex]
So, the volume of the swimming pool is equal to [tex]650.25\ yards^3[/tex].
What is the slope of the line that
passes through these two points?
(-4, 6)
(-4,-2)
Answers
Answer:
slope = undefined
Step-by-step explanation:
To find the slope of a line that passes between two points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of (-4, 6) and (-4,-2) into the formula and simplify like so:
[tex]m = \frac{(-2)-(6)}{(-4)-(-4)}\\m= \frac{-2-6}{-4+4} \\m = \frac{-8}{0}[/tex]
However, we can't divide by zero. This must mean that the slope of this line is undefined.
If you roll a number cube 108 times, how many times
would you expect to roll the number one using the
data above?
Answers
CHOOSING BRAINLIEST ( SCREENSHOT PROVIDED )
Find the missing number to complete the linear equation that gives the rule for this table.
x | y
0 | 0
1 | 25
2 | 50
3 | 75
Answers
Answer:
y= 25
i think
Step-by-step explanation:
Express each of the following as a fraction in its simplest form
if u answer for points,
I will take revenge by doing the same on your questions.
Answers
Answer:
see explanation
Step-by-step explanation:
(a)
Given
[tex]\frac{y}{3}[/tex] + [tex]\frac{y+3}{5}[/tex]
The common denominator is 15 ( the LCM of 3 and 5 )
Multiply numerator/ denominator of first fraction by 5
Multiply the numerator/ denominator of second fraction by 3
= [tex]\frac{5y}{15}[/tex] + [tex]\frac{3y+9}{15}[/tex] ← add numerators , leaving denominator of 15
= [tex]\frac{5y+3y+9}{15}[/tex]
= [tex]\frac{8y+9}{15}[/tex]
(b)
Given
[tex]\frac{3x}{8}[/tex] - [tex]\frac{x+5}{4}[/tex]
The common denominator is 8 ( the LCM of 8 and 4 )
Multiply numerator/ denominator of second fraction by 2
= [tex]\frac{3x}{8}[/tex] - [tex]\frac{2(x+5)}{8}[/tex] ← simplify numerators leaving denominator of 8
= [tex]\frac{3x-2x-10}{8}[/tex]
= [tex]\frac{x-10}{8}[/tex]
Answer:
a) (8y + 9)/15.
b) (5x + 10)/8.
Step-by-step explanation:
(a) y/3 + (y + 3)/5
The LCD of 3 and 5 is 15 so we have:
5y/15 + 3(y + 3)/15
= (5y + 3(y + 3)) / 15
= (5y + 3y + 9)/15
= (8y + 9)/15.
b) 3x/8 + (x + 5)/4
The LCD of 4 and 8 is 8 so we have:
3x/8 + 2(x + 5)/8
= (3x + 2x + 10) / 8
= (5x + 10)/8.
a rectangular prism has a length of 2 3/4 feet, a width of 4 1/2 feet, and a height of 6 inches. what is the volume of the prism in the cubic inches?
Answers
Answer:
10692 cubic inches
Step-by-step explanation:
Since we are told to give the units in inches, let's convert the two values which are in feet.
1 ft= 12 inches
thus,
length 2.75 ft. = 33inch
breadth 4.5 ft. = 54 inch
and height is 6 inches.
Volume of a cube= length × width × height
= 33 × 54 × 6
= 10692 cubic inches
Given a triangle with a = 19, A = 43°, and B = 26° , what is the length of c? Round to the nearest tenth.
Answers
Answer:
The length of side c would be 26.0.
Step-by-step explanation:
Answer:
A) 26
Step-by-step explanation:
Find m
A) 70°
C) 42°
B) 145°
D) 130°
Answers
Answer:
42 degrees
Step-by-step explanation:
Angles E and G are equal. Therefore, 8x - 6 = 7x, and x = 6.
Then the measure of angle G must be 7(6), or 42 degrees.
Please help because I have to submit this this week
Answers
Answer:
67
Step-by-step explanation:
its a 90 degree angle so u have to do 90-23 which equals to 67
Please help have only an hour please use picture
Answers
Answer:
The answer is C. n = 3
Step-by-step explanation:
I got this answer by using the butterfly method. I multiplied 3 and 2 and got 6. Then take 6 and divide it by 2 and you get 3.
So therefore, n = 3
Please mark brainliest if this helped.
Answer: C n=3
Step-by-step explanation:
First croas multiply the 2 and 3 to get one side
then you multiply 2n and move it to the other side so it can equal
2n=6
2n/2=6/2
n=3
Use the distance formula to find the distance between each pair of points. round to the nearest tenth of neccessary.
Answers
Answer:
1). 4.2 2). 7.65 3). 14.14
Step-by-step explanation:
1). √(y2 - y1)² + (x2 - x1)²
√[-1 - (-4)]² + [-3 - (-6)]²
√(3)² + (3)²
√9 + 9
√18
= 4.2
2). √(2.5 - 1)² + ( -4 - 3.5)²
√(1.5)² + (-7.5)²
√(2.25) + (56.25)
√58.5
= 7.65
3).√(5 - (-5)² + (-5-5)²
√(10)² + (-10)²
√(100) + (100)
√200
= 14.14
Solve the equation for the interval [0, 2pi). 2sin^2x = sin x
A) 0, pi, pi/6, 5pi/6
B) pi/6, 5pi/6
C) pi/3, 2pi/3
D) pi/2, 3pi/2, pi/3, 2pi/3
Answers
Answer:
A
Step-by-step explanation:
We want to solve the equation:
[tex]2\sin^2(x)=\sin(x)[/tex]
For the interval [0, 2π).
First, we can move all the terms to one side. Start off by subtracting sin(x) from both sides:
[tex]2\sin^2(x)-\sin(x)=0[/tex]
We can factor:
[tex]\sin(x)\left(2\sin(x)-1\right)=0[/tex]
By the Zero Product Property:
[tex]\sin(x)=0\text{ or } 2\sin(x)-1=0[/tex]
Solve for each case:
[tex]\displaystyle \sin(x)=0\text{ or } \sin(x)=\frac{1}{2}[/tex]
Use the unit circle to solve:
[tex]\displaystyle x=\left\{0, \frac{\pi}{6},\frac{5\pi}{6}, \pi\right\}[/tex]
Hence, our answer is A.
*Please note that we should not simply divide both sides by sin(x) to acquire 2sin(x) = 1. The problem with the operation is that we are dividing by sin(x), yet we do not know what the value of x is. Thus, one or more values of x may result in sin(x) = 0, and we cannot divide by 0. Hence, we are required to subtract and then factor, unless the question specifically states that sin(x) ≠ 0.
Hello can someone plz help me? Plz show your work
Answers
Step-by-step explanation:
Sandra played for 4=x minutes in the basketball game and Diane how ever played seven times as long as Sandra so the equation and the minutes Diane played is represented by;
4=x(Sandra)
Diane= 7(x)
=7(4)
=28
To the nearest foot, what is the diameter of the circle whose circumference is 47.1 feet?
Answers
Answer:
d≈14.99ft
Step-by-step explanation:
What is a equivalent expression to z+z+z+z
Answers
*all three expressions above are the same and correct pick which ever one you want to use
Solve for x. round your answer to the nearest tenth
Trigonometry
Answers
Answer:
[tex]\displaystyle x \approx 16.5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Angle θ = 70°
Opposite Leg = x
Adjacent Leg = 6
Step 2: Solve for x
Substitute in variables [tangent]: [tex]\displaystyle tan70^\circ = \frac{x}{6}[/tex][Multiplication Property of Equality] Isolate x: [tex]\displaystyle 6tan70^\circ = x[/tex]Rewrite: [tex]\displaystyle x = 6tan70^\circ[/tex]Evaluate: [tex]\displaystyle x = 16.4849[/tex]Round: [tex]\displaystyle x \approx 16.5[/tex]Cole found BC in ΔABC . His work is shown below. Identify the first step in which his work shows an error. A Step 1: 92 + 152 = c2 B Step 2: 81 + 225 = c2 C Step 3: 306 = c2 D Step 4: 306−−−√ =c E Step 5: c≈17, so BCis about 17 in.
Answers
Answer: A
Step-by-step explanation:
What is the answer to 1552+452
Answers
Answer:
2004
Step-by-step explanation:
hope this is helpful
Answer: it is 2004
Step-by-step explanation:
When adding polynomials, you combine like terms. Then put the polynomial in standard form. true or false
Answers
Answer:
True
Step-by-step explanation:
Polynomials are expressions containing one or more variables that are raised to powers beyond 2.
In standard form, a polynomial may be arranged based on the power of the variable. For example
X^3 + 2x^2 + 5
The above polynomial has been arranged in standard form. To add or subtract two polynomials, the two expressions are rearranged to combined like terms and then organized in standard form
Vhich expression shows that the quotient
Answers
Answer:i think the answer d
Step-by-step explanation:
Answer:
2nd option is the correct answer.
[tex] \frac{6x - 1}{9x - 3} [/tex]
Step-by-step explanation:
[tex] \frac{2}{3x - 1} \div \frac{6}{6x - 1} \\ \\ = \frac{2}{3x - 1} \times \frac{6x - 1}{6} \\ \\ = \frac{1}{3x - 1} \times \frac{6x - 1}{3} \\ \\ = \frac{6x - 1}{3(3x - 1)} \\ \\ = \frac{6x - 1}{9x - 3} [/tex]
Which transformation of Figure A results in Figure A′?
A.) a translation 3 units left and 4 units down.
B.) a reflection across the x-axis
C.) a counterclockwise rotation of 270° about the origin
D.) a counterclockwise rotation of 90° about the origin
Answers
Answer:
It is D
Step-by-step explanation:
It is the only reasonable answer
What are the equations for the horizontal and vertical lines through (−2, 0)?
A. horizontal y = 0, vertical x = −2
B. horizontal y = 0, vertical x = 2
C. horizontal y = −2, vertical x = 0
D. horizontal y = 2, vertical x = 0
Answers
Find the area of the triangle. A right triangle has a base of 5 yards and a height of 2 yards.
Answers
Answer:
3
Step-by-step explanation:
24
Answer:
5×2=10
10/2=5
5yd2
mark brainliest pleaseeeeee
You deposited $1900 in the Cy-Fair Bank! After 8 years, you earned a siimple interest of $684. What percent interest was paid by the bank?
Answers
Answer: 36%
Step-by-step explanation:
Please help me do this
Answers
Answer:
∠ U = 60°
Step-by-step explanation:
The tangent- tangent angle U is half the difference of its intercepted arcs
minor arc VT = 120° , then
major arc VT = 360° - 120° = 240°
Then
∠ U = [tex]\frac{1}{2}[/tex] (240 - 120)° = [tex]\frac{1}{2}[/tex] × 120° = 60°
Lillie can pack 12 boxes of pasta in an hour and a half find the unit rate
Answers
12 boxes of pasta packed in an hour and half then boxes packed in 1 hour will be 12/1.5 = 8
thus 8 boxes packed in an hour . this is called the unit rate, so the answer will be 8
What is the image point of ( − 7 , 5 ) after a translation right 5 units and up 4 units?
Pls I added 20 points
Answers
Answer:
(-2,9)
Step-by-step explanation:
help me now i need this question right away
Answers
Answer:
It will be 120°
It because if you matched those two points you will have two angles of 90° degree inside that square and in the triangle at the above 120-90= 30 degrees for both angles and since that all angles of the triangle are equal 180 then 180-(30+30)=120°.
Sorry if my explanation isn't that good.
WILL GIVE BRAINLIEST IMMEDIATELY!!!!!!!
7. Consider the circle to the right.
Determine the value of x.
Answers
Answer:
Step-by-step explanation:
The given figure shows a rectangle being rotated about its length to obtain a three-dimensional solid.
What is the area of the base of the solid that is formed?
16π in.²
36 in.²
64π in.²
144 in.²
Answers
Answer:
16π in.²
Step-by-step explanation:
i took the quiz and got it right