Answer:
it would be right next to the other line
Step-by-step explanation:
What is the solution of the system? Use elimination. 5x = -30 + 5y 20y = 105 + 5x 0 (-1,4) D5, 20) KO (-1, 5) (5.-1)
First, we will use elimination to solve for y.
[tex]5x = -30 + 5y\\20y = 105 + 5x\\\\5x - 5y = -30\\-5x + 20y = 105\\\\15y = 75\\\\y = 5[/tex]
Now, we will use what we got for y to solve for x.
[tex]5x = -30 + 5(5)\\\\5x = -30 + 25\\\\5x = -5\\\\x = -1[/tex]
Solution:
[tex](-1, 5)[/tex]
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.
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.
what's a Number line ?
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:
What are all the zeros of the polynomial
y= -x^3 -3x^2 +6x +8
In synthetic division
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
Which statement correctly compares the function shown on the graph wih the function y=5x + 5
Answer:
C the function on the graph has the same rate of change, but a lower starting point
Step-by-step explanation:
they both have the slope of 5, and the graph's y-intercept is -6. -6<5.
Answer:
I would say C. The function shown on the graph has the same rate of change but a lower starting points.
Step-by-step explanation:
I said C because if you look at the slope in the equation which is 5x and look at where the line intercepts the Y axis you can see that the rise if 5 (going up) and the run (going over) is 1 and that gives you the next point. But the 5 in the equation is higher than the starting point on the Y axis so that's why I chose the one that said the lower starting point.
hope this helps.
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 = .
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?
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][tex]4−16÷4+4²[/tex]
Answer:
16
Step-by-step explanation:
[tex]4−16÷4+4² \\ \\ = 4 - \frac{16}{4} + 16 \\ \\ = 4 - 4 + 16 \\ \\ = 16[/tex]
Simplify as far as possible.
√
18
−
√
2
Answer:
3
Step-by-step explanation:
√18 / √2 = √(9x2) / √2 = 3√2 / √2 = 3
solve for x.
2/3x = 10
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`)``
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?
How much would the painting company charge to paint a house that needs 20
hours of labor? A house that needs 50 hours?
Answer:
It depends how much they get paid which is 20 dollors
Step-by-step explanation:
SO THE ANSWER IS 20
Thanks to who ever helped me with this question!
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
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?
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 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).
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
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
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
Find the length of arc AB. Use 3.14 for T,
Round to the nearest tenth.
20
1 ? ]cm
Please help
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 !
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.
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.
Timmy the Elephant received an 87.5% on his math test. How many questions were on the test if he got 35 questions right?
Answer:
40
Step-by-step explanation:
35/40 in percentage is 87.5%
-21+(-59) what is the answer
Answer:
-80
Step-by-step explanation:
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.
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:
plz help i need help im failing
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.
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).
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.
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?
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
Will mark as brainliest!!!!!!!!!!
Answer:
hi I just wanna talk ;)
Step-by-step explanation:
2x + y = 7 3x -2y = -7 solve by substitution
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
GMM
The numbers are
36
X
And 46 degrees
Answer:
45
Step-by-step explanation:
just had that q and sumbitted my quiziz and got it correct
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
Which is equal to K-L ?
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
Please help! thanks !!!!
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.)