Answers
Answer:
(-2, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-x - 2y = 2
4x - 2y = -8
Step 2: Rewrite Systems
-x - 2y = 2
Multiply both sides by -1: x + 2y = -2Step 3: Redefine Systems
x + 2y = -2
4x - 2y = -8
Step 4: Solve for x
Elimination
Combine equations: 5x = -10Divide 5 on both sides: x = -2Step 5: Solve for y
Define equation: 4x - 2y = -8Substitute in x: 4(-2) - 2y = -8Multiply: -8 - 2y = -8Isolate y term: -2y = 0Isolate y: y = 0Greetings again.
The answer is (-2,0)
Explanation:
This one is different from other 2 previous questions. The last and previous 2 questions have positive y for another equation and negative y for another equation which makes them 0 (As y - y = 0)
But this one is different. y-terms both are negative for both equations. If we decide to add -2y and -2y then It'd make -4y which doesn't make 0.
And how are we gonna solve by elimination? That's simple. By multiplying one of the equation by -1.
We can do that, to eliminate y-term out. Choose one equation to multiply. I'll be multiplying -1 in the first equation.
[tex]-x-2y=2[/tex]
Multiply -1 in whole equation.
[tex]-x(-1)-2y(-1)=2(-1)\\x+2y=-2[/tex]
Remind that negative multiply/distribute in negative equal positive always.
And x + 2y = -2 is your new equation from the first equation.
[tex]\left \{ {{x+2y=-2} \atop {4x-2y=-8}} \right.[/tex]
This is our new equations. Then we are able to eliminate y-term.
[tex]5x=-10\\x=-2[/tex]
In case if you forget again, we can simply add/subtract vertically.
x+4x = 5x
2y-2y = 0
-2-8 = -10
That's how we get 5x=-10 and thus x = -2.
We already get x-value, and you know that we need to find the y-value too.
Therefore, substitute x = -2 in any given equations. Less coefficient value, the faster and better.
I'll substitute in -x-2y=2
[tex]-x-2y=2[/tex]
Substitute x = -2 in the equation.
[tex]-(-2)-2y=2\\2-2y=2\\-2y=2-2\\-2y=0\\y=\frac{0}{-2}\\y=0[/tex]
Thus, when x = -2, y = 0. Since you want the answer as ordered pair, then the answer is (-2,0)
Related Questions
How much would the painting company charge to paint a house that needs 20
hours of labor? A house that needs 50 hours?
Answers
Answer:
It depends how much they get paid which is 20 dollors
Step-by-step explanation:
SO THE ANSWER IS 20
PLEASE HELP ME!!!!! NEED HELP ASAP!!!!!
Answers
2x + y = 7 3x -2y = -7 solve by substitution
Answers
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(1, 5)
Equation Form:
x = 1, y = 5
Brainliest Please!!
The solution for the given equations: x = 1 , y = 5.
What is substitution method?The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
Given, equations
2x + y = 7 -------(a)
3x -2y = -7 -------(b)
Taking equation (a)
2x + y =7
y = 7 - 2x ------(c)
Substituting value of y in equation (b) from equation (c)
3x - 2(7 - 2x) = -7
3x - 14 + 4x = -7
7x = 7
x = 1
Putting value of x in equation (c)
y = 7 - 2 (1)
y = 5
Hence, x = 1 and y = 5 is the solution for the given equations 2x + y = 7 and 3x -2y = -7.
Learn more about substitution method here:
https://brainly.com/question/14619835
#SPJ2
HELP ASAP PLZ What value of d makes the equation (3d – 2) = }(d + 5) true?
Answers
1 Remove parentheses.
3d-2=d+5
2 Add 22 to both sides.
3d=d+5+2
3 Simplify d+5+2 to d+7.
3d=d+7
4 Subtract d from both sides.
3d-d=7
5 Simplify 3d-d to 2d.
2d=7
6 Divide both sides by 2.
7/2=d
7 Flip sides.
d=7/2
(Optional decimal form)
d=3.5
So 7/2 or 3.5
A city Carnival has an entry fee of $15. Each Carnival ride cost $7.50. Write a Linear Equation that can be used to solve for total spend at the Carnival. In the form y = mx + b
Answers
Thanks to who ever helped me with this question!
Answers
Answer:
61
Step-by-step explanation:
a triangles angles equal 180 so 180-10-19-90 = 61
Answer:
-9
Step-by-step explanation:
Since the opposite angles of both sides are congruent we know that the sides must be congruent also. Therefore, to solve for x we can set them equal to each other.
So the equation will be x+19=10, to solve we must isolate the variable.
First, subtract 19 from both sides
x+19-19=10-19
Then, simplify
x=-9
In a recipe, for every 3/4 cup of flour, 1/3 cup of sugar is needed. How many cups of sugar are needed for 1 cup of flour? (Leave your answer in fraction form).
Answers
Answer:
1/9 cup of sugar for every 1/4 cup of flour
Step-by-step explanation: Turn the 1/3 into 3/9 and I'm sure you can figure it out from there.
A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. How tall is the building?
Answers
Answer:
17.5 meters
Step-by-step explanation
I included an illustration of what they are asking for.
Notice, since the light of the sun is coming from the same place, the shadow angles relative to the ground, X and Z, will be the same. So the triangles formed are similarUse SOH CAH TOA to find the angle Z This just means when you have an angle in a right triangle, in order to know whether to use Cosine, Sine or Tangent, look at what sides you haveWe have the sides opposite (O) and adjacent (A) to angle Z, so we tangent (T)[tex]\tan (Z)=\frac{O}{A}\\\tan (Z)=\frac{10m}{8m}=1.25[/tex] Now since angle Z equals X, they have the same tangent valueSo we can use that to find the building height, which it the opposite (O)Don't forget to use the new adjacent 14m[tex]\tan (X)=\frac{O}{A}\\1.25=\frac{O}{14m}\\O=(1.25)(14m)\\O=17.5m[/tex]Select Correct Answer From Drop Down Menu
Answers
Answer:
Solution (-3, -5)
systems or linear equations
y = x - 2
y = 3x + 4
Step-by-step explanation:
-2,-2 ( 0,4
Write the equation of the line that passes through the points (0, -3) and (-4,1).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answers
Step-by-step explanation:
I'm going to explain this in standard slope intercept form (y=mx+b) because it is easiest for this situation. I will also include converting it to point slope form. I will also show how to do straight into point slope form if you find that more helpful.
First thing is to identify difference in x and y in both points. From point 1 to point to, the x changes -4 and the y changes +4. We can rapresent this in rise over run fraction
[tex] \frac{4}{ - 4} = - 1[/tex]
So the slope is -1 because the slope is the simplified rise over run fraction.
Our next step is to find the y-intercept. This is easy because the first point is the y-intercept, so -3 is our y-intercept.
Now we know the equation.
[tex]y = - x - 3[/tex]
All we have to do now is convert it into point-slope form. So here is point slope form: y + y1 = m(x + x1). Y1 is the y-intercept and m is the slope.
[tex]y - 3 = - 1(x + x1)[/tex]
So x1 is the x intercept, so to find this you find the x value when y is 0. You can do this by using the standard form I've done because it is easiest.
[tex]0 = - x - 3 \\ x = - 3[/tex]
So when y is 0, then x is -3. Here is the complete point slope form of the line.
[tex]y - 3 = - 1(x - 3)[/tex]
-----------------------------------------------------
To put the line directly into point slope for you need to find the slope, y-intercept, and x-intercept and place the values in accordingly. If you aren't given the y-intercept and x-intercept straight away it can be difficult for some putting it directly in point slope form. That is why I recommend putting it into standard form then point-slope form.
Answer:
y=-1x-3
Step-by-step explanation:
First, you have to find the slope using the formula I attached. Using this formula, you will subtract the second y from the first y, which is 1-(-3) for this problem. That equals 4, so that will be the numerator of the slope. Next, you have to subtract the second x from the first x, which is -4-0 for this problem. That equals -4, so that will be the denominator for this slope. the fraction now is [tex]\frac{4}{-4}[/tex], which is -1. The slope is -1. The current equation looks like this: y=-1x+b. Now we can solve for b, or the y-intercept. To do this, you have to use the x and y of one of the coordinates, it doesn't matter which one, the answer will be the same. Use the first one, for example. The x is 0 and the y is -3, so the our equation to find b is -3=-1(0)+b, which is -3=0+b, which is -3=b, or b=-3. So now we know what b is. Now we have to two components we need to write the equation, the slope (-1) and the y-intercept (-3). Now we can write the equation. y=-1x+(-3), or y=-1x-3.
Which is equal to K-L ?
Answers
Answer:7 -3
6 0
13-6=7
7-10=-3
25-19=6
18-18=0
Step-by-step explanation:
Answer:
third option from the top
Step-by-step explanation:
7. -3
6. 0
Find the length of arc AB. Use 3.14 for T,
Round to the nearest tenth.
20
1 ? ]cm
Please help
Answers
Answer:
12.4 cm
Step-by-step explanation:
Length of an arc AB = [tex] \frac{\theta}{360} \times 2 \pi r [/tex]
Where,
[tex] \theta = 90 [/tex]
[tex] \pi = 90 [/tex]
r = 7.9 cm
Plug in the values
Length of an arc AB = [tex] \frac{90}{360} \times 2 \times 3.14 \times 7.9 [/tex]
[tex] = \frac{90 \times 2 \times 3.14 \times 7.9}{360} [/tex]
Length of an arc AB = 12.4 cm (nearest tenth)
Answer:
Step-by-step explanation:
answer is 12.4cm !
Please help! thanks !!!!
Answers
Answer:
I believe that D is the answer.
Step-by-step explanation:
The Y and X axis goes up by 1/8, so the Y value is 5/8 and the X value is -1/4.
(For the X axis, you need to simplify.)
You are selling candy bars for a fundraiser. you want to sell at least $200. If snickers cost $2 per bar and M&M's cost $3 per bag, then write an inequality that represents all the possible combinations you can sell to meet your goal.
Answers
Answer:
Step-by-step explanation:
Goal = > $2500
Amount raised = $700
Amount needed to raise = $2500 - 700 = $1800
Number of candy bars needed = x
Price of a candy bar = $1.50
1.5x > 1800
x > 1800 ÷ 1.5
x > 1200
Answer: They need to sell more than 1200 candy bars.
Simplify as far as possible.
√
18
−
√
2
Answers
Answer:
3
Step-by-step explanation:
√18 / √2 = √(9x2) / √2 = 3√2 / √2 = 3
What are all the zeros of the polynomial
y= -x^3 -3x^2 +6x +8
In synthetic division
Answers
Answer:
x=2, -4, -1
Step-by-step explanation:
-x³-3x²+6x+8=0
Multiply entire equation by -1:
x³+3x²-6x-8=0
Since x=2 is a solution, then x-2 must be a factor. Then:
x³+3x²-6x-8/x-2=x²+5x+4
x²+5x+4=0
Factor this:
x²+5x+4=(x+4)(x+1)=0
x=-4, -1
x=2, -4, -1
what's a Number line ?
Answers
a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
Answer:
It is a line with points to represent numbers. It is used to model equations and can be used to determine greater or less than. It's a useful tool to use in math.
Step-by-step explanation:
An airplane is 4,000 feet above the ground. It begins to descend at a rate of 140 feet per minute. How many minutes will it take until the plane is 2,600 feet above the ground?
Answers
Answer:
10 minutes!
Step-by-step explanation:
140 * 10(min) = 1,400
4000 - 1,400 = 2,600 ft
so will take 10 minutes for the plane to descend 1,400 ft
Answer:
10 minutes
Step-by-step explanation:
in five minutes it will descend by 700 feet so multiply that by 2 you get 1400 and thats how much to add and thats 10 minutes so 10
Select all the true statements.
- 1.9 is to the left of -1.48.
-1.9 is to the right of -1.48.
1.9 is closer to 0.
-1.48 is closer to 0.
-1.48 is less than – 1.9.
-1.48 is greater than -1.9.
Answers
Answer:
-1.9 is to the left of -1.48.
-1.48 is closer to 0.
-1.48 is greater than -1.9.
Answer:
statements 1,4,5
Step-by-step explanation:
30 points!!! I think. Anyways, what’s your favorite thing to do with your mom.
Answers
Answer: My favorite thing to do with my mom is either go shopping with her or cooking yummy desserts, like cookies, brownies, Etc...
The downside is that my mom get's really annoyed with me so i don't really go shopping especially with all this Coronavirus stuff going on.... And also what's your favorite thing to do with your mom???
Thank you so much!!! :D Stay safe and have a great day/night!!! :D
GMM
The numbers are
36
X
And 46 degrees
Answers
Answer:
45
Step-by-step explanation:
just had that q and sumbitted my quiziz and got it correct
Enter the equation of the line in slope-intercept form. Enter the answer in fraction form.
The line perpendicular to y =
6
5
x + 2 that passes through (6, −2).
The equation of the line that passes through (6, −2) is y = .
Answers
Timmy the Elephant received an 87.5% on his math test. How many questions were on the test if he got 35 questions right?
Answers
Answer:
40
Step-by-step explanation:
35/40 in percentage is 87.5%
A real estate agent earns a 2% commission on each home that he sells. What is his commission if he sells a home worth $1,000,000?
Answers
=2/100*$1,000,000
=$20,000
solve for x.
2/3x = 10
Answers
Answer:
x=15
Step-by-step explanation:
2/3x = 10
To find x divide both sides by 2/3.
2/3x÷2/3 = 10÷2/3
x=15
Easy!! :3
Answer~x = 15
Steps~(2/3)*x = 10 // - 10
(2/3)*x-10 = 0
2/3*x-10 = 0 // + 10
2/3*x = 10 // : 2/3
x = 10/2/3
x = 15
------------------------------------------------------------------------Hope i helped!!
Have a great day!!
( `w`)``
Merritt is driving to Mount Shasta. On her map, she is a distance of 7 inches away. The scale of the map is 2 inches is to 50 miles. How far must Merritt travel to reach her destination?
Answers
Answer:
7 inches on the map is 175 miles.
Step-by-step explanation:
2 inches equals 50 miles. Use 50 divided by 2 to find the 1-inch scale which is 1:25 ( one inch to 25 miles)
A cube with a volume of 75 cm is dilated bya factor of 5.
What is the volume of the dilated cube?
Enter yOur answer in the box
cm
Answers
Answer:
The volume of the dilated cube is 9375cm³. The volume of the original cube is 75 cm³. The scale factor for the dilation is 5. We multiply the volume of the original cube by 125 to obtain the volume of the dilated cube.
Step-by-step explanation: If thats
not right, then i am sorry, i am just getting started
plz help i need help im failing
Answers
Answer: It is D
Step-by-step explanation:
It is the 4th table
For x and y values to be a function, it must pass the vertical line test. This means that for every y value, there must be a different x value, or there can be two y values for one x value.
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by ℎ = −16푡 ଶ+103푡+5 where t is time (in seconds).
Answers
Question:
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.
Answer:
[tex]t = 5.0625[/tex]
Step-by-step explanation:
Given
[tex]h(t)=-16t^2+80t+5[/tex]
Required
Find t when the ball hits the ground
This implies that h(t) = 0
So, we have:
[tex]0=-16t^2+80t+5[/tex]
Reorder
[tex]-16t^2+80t+5 = 0[/tex]
Using quadratic formula, we have:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = -16[/tex] [tex]b =80[/tex] [tex]c = 5[/tex]
So, we have:
[tex]t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}[/tex]
[tex]t = \frac{-80\±\sqrt{6400 +320}}{-32}[/tex]
[tex]t = \frac{-80\±\sqrt{6720}}{-32}[/tex]
[tex]t = \frac{-80\±82.0}{-32}[/tex]
This gives:
[tex]t = \frac{-80+82.0}{-32}[/tex] or [tex]t = \frac{-80-82.0}{-32}[/tex]
[tex]t = \frac{2}{-32}[/tex] or [tex]t = \frac{-162}{-32}[/tex]
[tex]t = -\frac{2}{32}[/tex] or [tex]t = \frac{162}{32}[/tex]
But time can not be negative.
So, we have:
[tex]t = \frac{162}{32}[/tex]
[tex]t = 5.0625[/tex]
Hence, time to hit the ground is 5.0625 seconds
[tex]4−16÷4+4²[/tex]
Answers
Answer:
16
Step-by-step explanation:
[tex]4−16÷4+4² \\ \\ = 4 - \frac{16}{4} + 16 \\ \\ = 4 - 4 + 16 \\ \\ = 16[/tex]