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
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 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]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:
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
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.
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
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:
WILL GIVE BRAINLIEST IMMEDIATELY!!!!!!!
7. Consider the circle to the right.
Determine the value of x.
Answers
Answer:
Step-by-step explanation:
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
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:
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
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].
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:
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
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
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
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.
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:
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
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
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.
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
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]
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
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:
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:
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
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.