Explain why y +1 = 1.2(x+2) and y-5= 1.2(x – 3) represent the same line, despite having
different equations.
Answer:
You can manipulate both equations into y = mx + b format and end up with the same result of y = 1.2x + 1.4
Step-by-step explanation:
y + 1 = 1.2(x + 2)
y = 1.2x + 2.4 - 1
y = 1.2x + 1.4
y - 5 = 1.2(x - 3)
y = 1.2x - 3.6 + 5
y = 1.2x + 1.4
So essentially, they're the same equation but in different forms.
Three red balls, 5 green balls and a number of blue balls are put together in a sac. One ball is picked at random from the sac. If the probability of picking a red ball is 1|6, find the a) The number of blue balls in sac. B) the probability of picking a green ball.
Answer:
a) 10 blue balls, b) 5/18
Step-by-step explanation:
a)
R=3, G=5, B=x (unknown)
probability of picking red = 1/6 and red = 3 so total = 3(6) = total is 18
3+5 = 8 so B=18-8 -> B=10
b) total is 18 and G=5 so green probability = 5/18
Find the value of x.
Answer:
25
Step-by-step explanation:
The median of a trapezoid equals one half of the sum of the bases
AC is a median and EB and DF are the bases.
hence AC = 1/2(EB + DF)
We are given that EB = 13 and that AC = 19. And we need to find DF
To do so we plug in what we are given and solve for DF
AC = 1/2(EB + DF)
AC = 19, EB = 13
19 = 1/2(13 + DF)
Now solve for DF
* Multiply both sides by 2*
19 * 2 = 38
1/2(13 + DF) * 2 ( the 1/2 and 2 cancel out and we're left with 13 + DF )
We then have 38 = 13 + DF
* Subtract 13 from both sides *
38 - 13 = 13 - 13 + DF
We get that DF = 25
A sky-diver descends from an altitude of 3,332m into the ocean and entered 9 m deep. What is total distance travelled by him after the point of release of parachute, if he opens it after 210m?
Answer:
3131 meters
3332 - 210 = 3122
3122 +9 = 3131 meters
Step-by-step explanation:
Captain Liz is going to load her cruise ship with bags of sugar. She has room for 19 bags of sugar. She has allotted for 121 pounds of sugar on her ship. She can choose from 7-pound bags (the variable s) or 10-pound bags (the variable p). Which equations would be a constraint to Captain Liz maximizing her sugar load?
Correct answers with explanations will earn you brainliest :)
Answer:
[tex]19 = s + p[/tex] and [tex]121 = 7s + 10p[/tex]
Step-by-step explanation:
First we use constraints given by the problem to set up two equations:
We can only have a total of 19 bags, so:
[tex]19 = s + p[/tex]
Then, we want to maximize her sugar load. Using the info on the weight of each bag and the max carrying capacity:
[tex]121 = 7s + 10p[/tex]
Answer:
Step-by-step explanation:
Let the sugar from 7 pound bags be represented by = s
And let the sugar from 10 pound bags be represented by = p
As given, Captain Liz has room for 19 bags of sugar.
This becomes [tex]s+p=19[/tex] .......(1)
Also given is , she has room for 19 bags of sugar, so equation becomes:
[tex]7s+10p=121[/tex] ............(2)
Hence, these are the correct equations.
Sketch the graph of 2x + 3y = 18.
On your sketch, write the values where the graph crosses the r-axis and the y-axis.
Answer:
[tex]\boxed{ \sf Cuts \ x-axis \ at \ (9,0 ).}[/tex]
[tex]\boxed{ \sf Cuts \ y-axis \ at \ (0,6).}[/tex]
Step-by-step explanation:
We need to graph a linear equation and we need to find the point on which it crosses the x and y axis . The given equation is,
[tex]\sf\longrightarrow 2x + 3y = 18 [/tex]
For graphing it's line we need at least two points . hair we can find out the points on which it cuts the x and y axis and then using those two points we can plot its graph.
Step 1 : Put x = 0 in the equation :-
[tex]\sf\longrightarrow 2*0 + 3y = 18 [/tex]
Simplify ,
[tex]\sf\longrightarrow 0 + 3y = 18[/tex]
Add ,
[tex]\sf\longrightarrow 3y = 18[/tex]
Divide both sides by 3 ,
[tex]\sf\longrightarrow \underline{\purple{ y = 6}}[/tex]
Step 2: Put y = 0 in the equation :-
[tex]\sf\longrightarrow 2x + 3*0 = 18 [/tex]
Simplify ,
[tex]\sf\longrightarrow 2x = 18 [/tex]
Divide both sides by 2 ,
[tex]\sf\longrightarrow \underline {\purple{x = 9}}[/tex]
Hence the line cuts y axis on (0,6) and on x axis at (9,0) . Now these two points plot the graph . [ Graph is in attachment ]
6.
These triangles ARE similar! Which reason proves it?
Р
10
U
T
Circle one:
AAN
SSS
SAS
9
12
8
6
SHOW CALCULATIONS to verify they are similar!
R
s
15
Answer:
Step-by-step explanation:
Comparing the triangles in the given questions, the following can be deduced:
5. The scale factor = [tex]\frac{15}{10}[/tex] = [tex]\frac{12}{8}[/tex] ≠ [tex]\frac{9}{7}[/tex]
So that;
QR is similar to UT, PR is similar to US, but PQ is NOT similar to TS.
Thus, the triangles are NOT similar.
6. Scale factor = [tex]\frac{15}{10}[/tex] = [tex]\frac{12}{8}[/tex] = [tex]\frac{9}{6}[/tex]
= 1.5
So that;
QR is similar to UT, PR is similar to US, but PQ is similar to TS.
Thus, the triangles are similar by Side-Side-Side (SSS).
7. Here, an exact scale factor can not be determined. Thus, the triangles are NOT similar.
hello, help needed...again. 35 points !!! please show work for both. thank you:)) due today.
Answer:
16 direct
17 indirect
Step-by-step explanation:
16.
If it is a direct variation
y/x = constant
4/-2 -2
-8/4 = -2
-12/6 = -2
This is a direct variation
17.
y/x = -1/2 /-2 = 1/4
y/x = -1/-1 = 1
This is not a direct variation
If it is an indirect variation then
yx = constant
-1/2 * -2 = 1
-1*-1 =1
3 * 1/3 =1
This is an indirect variation
Which of the following statements is false?
Answer:
A. A Rhombus is a regular polygon
Can someone help me with this math homework please!
Answer:
III (third) quadrant
Step-by-step explanation:
Answer: Choice B
Quadrant II, because the slope is positive and the y intercept is negative.
===============================================================
Explanation:
The y intercept is -6 which places the graph below the x axis when x = 0. The graph will go uphill as we move to the right (since the slope is positive), so we cut through quadrant 4 and move to quadrant 1 at some point. Going in reverse of this, we go through quadrant 3.
Only quadrant 2 is never passed through or touched at all.
------------
Here's another way to see why this is. Notice that x < 0 is the case for quadrant 2 since we're to the left of the vertical y axis. If x is negative, then so is (2/3)x. Recall that negative times positive = negative.
Adding on -6 to any negative value just gets us in even more negative territory. So ultimately, y is always negative when x < 0.
But if x < 0 leads to y < 0, then we're in Q3 and not Q2. In short, x < 0 will never get us to Q2 no matter what negative x value we pick.
The graph below hopefully visually summarizes and confirms what we discussed so far.
WILL GIVE BRAINLIEST IF RIGHT!!
determine which of the following statements is true
respond with true or false
right angle has 2 complementary angles
Answer:
True
Step-by-step explanation:
Two angles form a pair of complementary angles
1.
Congruent
Not Congruent
Supplementary
2.
Adjacent
Corresponding
Vertical
Answer:
Congruent
Vertical
Step-by-step explanation:
E and G are vertical angles and vertical angles are equal
They are congruent because they are vertical
How many tacos could you buy with your money? If you had $20 dollars would you have enough money to buy a taco for 37 students on a Tuesday?
Answer:
You can buy 40 tacos
You have enough money
Step-by-step explanation:
Given
[tex]Amount = \$20[/tex]
[tex]Taco = 20[/tex]
[tex]Unit\ Cost = \$0.50[/tex] --- missing from the question
Required
Determine if you have enough amount
The number of Tacos that $20 can afford is calculated as:
[tex]Tacos = \frac{Amount}{Unit\ Cost}[/tex]
So, we have:
[tex]Tacos = \frac{20}{0.50}[/tex]
[tex]Tacos = 40[/tex]
[tex]40 > 37[/tex] -- i.e. the number of Tacos will go round the 37 students
Hence, you have enough money
Write an expression for the phrase.
the sum of 9 and k minus 17
A. 9-k+17
B. 9k-17
C. 9+ k-17
Answer:
9+k-17
Step-by-step explanation:
sum of 9 and k
9+k
minus 17
9+k-17
Enter the equation of the line in slope-intercept form.
Slope is 4, and (1,3) is on the line.
The equation of the line is y =
Answer:
y = 4x-1
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 4x+b
Substitute the point in and solve for b
3 = 4(1)+b
3 = 4+b
3-4 = b
-1 =b
y = 4x-1
Answer:
y = 4x - 1
Step-by-step explanation:
y = mx + b
y = 4x + b
3 = 4(1) + b
3 = 4 + b
b = -1
y = 4x - 1
A group of ten people is going to play ball this weekend . Four will play basketball : half as many people will play baseball , and the rest will play soccer. How many people will play soccer?
Answer:
4
Step-by-step explanation:
Four people will play basketball, so 10 - 4 = 6.
Half as many people will play baseball, and half of 4 is 2, so 6 -2 = 4.
The rest will play soccer, which is 4.
Use the diagram to determine whether you can assume the statement.
Points A,B, C, and E are coplanar.
Yes or no
Answer:
Yes
Step-by-step explanation:
Mathematically, when points are co-planar, what it means is that they exist in the same plane
Now, looking at the 4 points, we can see that they exist on the same x-like plane that is both perpendicular to like H through C
Hence, we can simply opine that these points exist in the same plane and are essentially co-planar
Can someone help me with this math homework please!
1st one = Arithmetic (A)
2nd = neither
3rd = Geometric (G)
4th = A
5th = G
HURRY QUICKLY PLEASE William measures the length of three sides of a building. Place the lengths in order from greatest to least.
0.096 kilometers
2,100 cm
104 meters
Answer:
104m, 0.096km, 2100cm
Step-by-step explanation:
0.096 kilometres = 9600
2100 cm
104m = 10400 cm
10400, 9600, 2100
104m, 0.096km, 2100cm
Answered by Gauthmath
Answer:
104m, 0.096km, 2100cm
Step-by-step explanation:
0.096 kilometres = 9600cm
2100cm
104m = 10400cm
10400, 9600, 2100
104m, 0.096km, 2100cm
solve the following simultaneous equation
4x-3y=1
x-2y=4
Answer:
(-2,-3) or x=-2 and y=-3
Need help ASAp plz and thank you
Answer:
pls use calculater
Step-by-step explanation:
because i also dont know now what shall i do so its a good suggestion for you i hope
y is the element of the set {1.5, 7.2, 3.4, 4.1, 8.9, .75} and 5Y ÷ 6 is an integer. What is the value of Y
Answer:
7.2
Step-by-step explanation:
5y = 5 *7.2 = 36
36 ÷ 6 = 6
So, y = 7.2
ITC sells one product at a profit of 30% another at a loss of 30% at the same selling price.What is the loss incurred by ITC? A. 1% B. 2% C. 4% D. 0%
Answer:
D. 0%
Step-by-step explanation:
The percentage of profit at which one of the products are sold = 30%
The percentage loss at which the other product are sold = 30%
Let x represent the prices of each of the products, we have;
The profit from the sale of the first product = 30% of x = 0.3·x
The loss from the sale of the second product = -30% of x = -0.3·x
The total gain or loss = Profit + Loss = 0.3·x + (- 0.3·x) = 0
Therefore, there is no net loss
The total loss incurred = 0%.
8 is added to the queintel of 36 divided by 4
Answer:
[tex](36 \div 4) + 8[/tex]
[tex]9 + 8[/tex]
[tex]17[/tex]
hope this will help youAnswer: 17
Step-by-step explanation:
36/4 = 9
9 + 8 = 17
PLEASE HELP!!!!
No links PLZ
Answer
(36)^1/2=(2^5)^1/2=6
Explanation
36 is equivalent to 2^5.
36^1/2 is equivalent to 6. The numerator of the fraction is the power and the denominator is the root. 36^1/2 is the same thing as the square root of 36, which is 6.
Please help me find the area of this figure
Answer:
=51.63 m^2
Step-by-step explanation:
First find the area of the triangle
A = 1/2 bh = 1/2(3) * 5 = 7.5
Then find the area of the rectangle
A = l*w = 5*6 = 30
Then find the area of the semi circle, which is 1/2 the area of the circle
The diameter is 6 so the radius is 3
A = 1/2 pi r^2 = 1/2 (3.14) (3) ^2 = 14.13
Add the areas together for the total area
7.5+30+14.13
=51.63
Given: F(x) = 2x^2+ 1, G(x) = 2x - 1, H(x) = x
F-2) =
Answer:
Step-by-step explanation:
Which of the following equations of a line is NOT written in standard form?
A. 3x + 2y = 8
B. -9x – 4y = 17
C. x + y = 10
D. y = 6x
Step-by-step explanation:
None of the options are written as standard except option D.
Answer:
D. y = 6x
Step-by-step explanation:
Edge 2022
Does the table represent a function? Why or why not?
i will make you brainliest pls help me
1) 8
2) 6(5x+2y) factor out greatest common factor
3) 10.8 just move over decimal two places to the left.
4) 30t=150? Then t=5kg Im not sure what the last one is asking, but I’m assuming it’s to solve for t.