Answer:
Tyler's - (-5 - 3y) + (3y) = -5
Han's - (x) + (-5 - x) = -5
Step-by-step explanation:
If we are going to use Tyler's first step then we would use x = - 5 - 3y and substitute it in the original simultaneous equation x + 3y = -5, becoming (-5 - 3y) + (3y) = - 5 giving an exact answer of - 5.
But if we are using Han's first step then we will still substitute into the original simultaneous equation but in 3y. It would become
x + (-5 - x) = - 5 which also gives us an exact answer of -5.
Thus proving that both first steps show the same solution of -5.
whats the solution.?
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(x-4)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve y-x+4 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-x+4 = 0 and calculate its properties
Step-by-step explanation:
On a number line, where would be located?
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
Answer:
A = (0,1)
B = (1,-1)
C = (-1,-1)
Step-by-step explanation:
If this helped leave a brainliest
Why does a rectangle with different side lengths have only 2 lines of symmetry?
A.
all four angles are congruent, and all four sides are congruent
B.
all four angles are congruent, and opposite sides are congruent for a horizontal and diagonal line of reflection
C.
all four angles are congruent, and opposite sides are congruent for a horizontal and vertical line of reflection
D.
all four angles are congruent, and opposite sides are congruent for two diagonal lines of reflection that cut through different angles
Answer:
C. all four angles are congruent, and opposite sides are congruent for a horizontal and vertical line of reflection
Step-by-step explanation:
A. isn't correct because all four sides aren't congruent, only the pair of opposite sides are congruent. Sense only opposite side are congruent you can only reflect the opposite sides onto each other and not diagonally meaning B. and D. are incorrect leaving C. all four angles are congruent, and opposite sides are congruent for a horizontal and vertical line of reflection as the correct answer
what is the expression to 50 times the sum of 64 and 36
Answer:
50(64+36) this would be your answer
50 x (64+36)
Step-by-step explanation:
According to PEMDAS, you will have to solve 64 + 36 first, so you need to put them in the parenthesis. Next, simply multiply by 50.
Write the expression for the following situation: Roger has 5 toy cars. His sister gives
himxmore for his birthday. He wants to find his totd
PLZ HELP!!! I WILL GIVE CORRECT ANSWER BRAINLIEST!!!
QUESTION: Find three consecutive integers where the sum of the first and the twice second is 35.
Answer:
11, 12, 13
Step-by-step explanation:
let's put the first number of the three as a:
a; a+1; a+2
The sum of the first and the twice second is 35 means:
a + 2(a+1) = 35
a + 2a + 2 = 35
3a = 33
a=11
now that we know a, we just need to add 1 and 2 as they are consecutive:
11, 12, 13
Alfredo's Towing Service charges $53.27 for its hook-up fee plus $29.25 for every mile, m, they tow your car. The equation that models the total cost (T) is T(m) = 29.25m + 53.27
Which value in the equation represents the rate of change?
A - $82.52
B - $29.25
B - The number of miles towed
C - $53.27
solve: s=4 + square rooted s+5
last 2 tutor find it wrong pls help me
Answer:
g(x) = 4x² -x +64
Step-by-step explanation:
The integral of f(x) will be continuous. This means the value must be the same for x = 4- as for x = 4+.
For some constant c1, the integral in the region x ≤ 4 is ...
∫f(x)dx = (4x² -x +c1) +C = g(x) +C
The integral in the region x ≥ 4 is given as ...
∫f(x)dx = 31x +C
Evaluated at x=4, we must get the same value from either expression:
4(4²) -4 +c1 +C = 31(4) +C
60 +c1 = 124
c1 = 64
__
In order to make the integral continuous at x=4, we must have ...
g(x) = 4x² -x +64
What’s the y-intercept
Y-14=6(x-2.5)
Answer:
[tex]y=-1[/tex]
Step-by-step explanation:
[tex]y-14=6(x-2.5)[/tex]
[tex]y-14=6(0-2.5)[/tex]
[tex]y-14=6(-2.5)[/tex]
[tex]y-14=-15[/tex]
[tex]y=-1[/tex]
Which of the following cannot be used to prove that two triangles are congruent?
A.AAA
B.ASA
C.SSS
D.HL
Answer:
A
Step-by-step explanation:
:)
hope it helps
The points (8, 1) and (6, 0) fall on a particular line. What is its equation in slope-intercept form?
Answer:
y=-3/2 x + 6Step-by-step explanation:
given 6x+5y=12 find the equation of the line parallel to it passing through (1,10).
Answer:
y = -6/5x+56/5
Step-by-step explanation:
Statement of cash flows (partial)
The total cost of a sketchpad and 6 pecils is $22.53. The sketch pad costs $9.99. Each. pencil costs the same amount. How much does each pencil cost
Answer:
22.53-9.99=12.54
12.54 divided by 6 = 2.09
Each pencil costs $2.09
Step-by-step explanation:
What is the product of (x2 + 3x + 9) and ( 2x + 7)?
Answer:
Ez 1+1=3 Duh
Step-by-step explanation:
You add 1 to 1 it will become 3 Evaluate f(-2) = -3x² - 2x
Answer:
-2F=7x
Step-by-step explanation:
F*-2= -2F 3x*3x=9x
-2F=9x-2x
-2F=7x
Round 67 to the nearest hundred. Enter your answer in the box below.
Please look for the question in the picture.
Answer:
-12.5
Step-by-step explanation:
-7x+8+11x=-42
-7x+11x=-42-8
4x=-50
x=-12.5
Hope this helped! :)
Hey There!
Question:-
[tex] \sf \: - 7x+8+11x= - 42[/tex]
We need to find the value of x.
Solution:-
[tex]\sf \longmapsto - 7x + 8 + 11x = - 42[/tex]
Combine Like terms:-
[tex]\sf \longmapsto \: ( - 7x+11x)+(8)= - 42[/tex]
On Simplification :-
[tex]\sf \longmapsto \: 4x +8 = - 42[/tex]
Subtract 8 from both sides:-
[tex]\sf \longmapsto \: 4x+8 - 8= - 42 - 8[/tex]
On Simplification:-
[tex]\sf \longmapsto \: 4x + 0 = - 42 - 8[/tex]
Note that (-) and (-) equals to (+).
[tex]\sf \longmapsto \: 4x = - 50[/tex]
Divide both sides by 4:-
[tex]\sf \longmapsto \: \dfrac{4x}{4} = \dfrac{ - 50}{4} [/tex]
On Simplification:-
[tex]\sf \longmapsto \: \dfrac{ \cancel2x}{ \cancel2} = \dfrac{ \cancel{- 50}}{ \cancel4} [/tex]
[tex]\sf \longmapsto \: x = \dfrac{ - 25}{2} [/tex]
Or in Decimal :-
[tex]\sf \longmapsto \: x = -12.5[/tex]
______________________________________
Henceforth, the value of x is :-
[tex]\boxed{\huge \red{x = - \dfrac{25}{2}}} [/tex]
In Decimal:-
[tex] \boxed{\huge\red{ x = -12.5}}[/tex]
________________________________
Please let me know if you have any questions.
~MisterBrian
For her phone service, Kala pays a monthly fee of $24, and she pays an additional $0.07 per minute of use. The least she has been charged in a month is $118.64.
What are the possible numbers of minutes she has used her phone in a month?
Use m for the number of minutes, and solve your inequality for m.
Answer:
m=1352
Step-by-step explanation:
(118.64-24)/0.07=m
lf the exchange rate of 1 dollar is Rs 72.45. how many dollars exchanged for Rs 1449 ?
Step-by-step explanation:
solution
here,
1 dollar = rs 72.45
or, 1/72.45 dollars= rs 1
or, rs 1 = 1/72.45 dollars
now,
rs 1449= 1449/72.45 dollars
or,rs1449= 20 dollars
therefore, 20 dollars can be exchanged for rs 1449
Translate the sentence into an inequality.
Six times the sum of a number and 20 is greater than 16.
Use the variable c for the unknown number.
Answer:
6 (20 + c) > 16
Step-by-step explanation:
the sum of the number and 20 is 20 + c. so you multiply that equation by 6 giving you 6 (20 + c)
Help
Geometry 1
Find z
Answer:
8
Step-by-step explanation:
The triangles are the same, except one is dilated.
So the hypotenuse of one is 5, and the other is 10. The triangle is dilated to double the other's size. so 4*2 = 8
I have no idea what i just wrote, but the answer is correct.
please help asap rn thank you
Answer:
1 is acute
2 is a right triangle
3 is obtuse
Step-by-step explanation:
A 90 degree angle will be written as a box in the corner. Any angle less than 90 is acute, and any angle more than 90 is obtuse.
I REALLY NEED HELP WITH QUESTION!! URGENTLY!! ANYONE WHO'S GOOD AT MATHS
Check the picture below.
there are a few angles shaded, I'll call that angle at O ∡O, and that angle at "x" ∡x and the green angle at A, ∡A, and the angle at B, ∡B, just so you know which angle we're referring to.
well, first off let's notice that B and C are points of tangency, meaning we get right-angles as you see in the picture, if we run an angle bisector from ∡x, towards point O, we get two congruent triangles, lemme shorten that up some, 90 + 90 + ∡O +∡x = 360, which means that ∡O + ∡x = 180, meaning that ∡O = 180 - ∡x, if that's so, the angle at point O across the shade, is 360 - ∡O or 360 - (180 - ∡x).
alrighty, by the inscribed angle theorem, ∡A is half of ∡O.
let's now focus on the triangle AOB, we'll be using half of ∡A and half of ∡O and ∡B on that triangle, let's proceed.
[tex]\measuredangle x + \measuredangle O=180\implies \measuredangle O=180-\measuredangle x \\\\\\ \measuredangle A = \cfrac{\measuredangle O}{2}\implies \measuredangle A = \cfrac{180-\measuredangle x}{2} \\\\\\ \stackrel{\textit{the angle across from }\measuredangle O~is}{360-\measuredangle O}\implies 360-(180 - \measuredangle x)\implies 180+\measuredangle x \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{\large the sum of all three angles at }\triangle AOB}{\stackrel{\textit{half of }\measuredangle A}{\cfrac{1}{2}\cdot \cfrac{180-\measuredangle x}{2}}~~ + ~~\stackrel{\textit{half the angle across from }\measuredangle O}{\cfrac{180+\measuredangle x}{2}}~~ +~~\measuredangle B~~ =~~180} \\\\\\ \cfrac{180-\measuredangle x}{4}+\cfrac{180+\measuredangle x}{2}+\measuredangle B = 180[/tex]
now, let's multiply both sides by the LCD of all denominators, hmmmm in this case that'll be 4, so multiplying both sides by the LCD will do away with the denominators, so let's do so.
[tex]4\left( \cfrac{180-\measuredangle x}{4}+\cfrac{180+\measuredangle x}{2}+\measuredangle B \right) = 4(180) \\\\\\ (180-\measuredangle x)+2(180+\measuredangle x)+4\measuredangle B = 720 \\\\\\ (180-\measuredangle x)+(360+2\measuredangle x)+4\measuredangle B = 720\implies 540+\measuredangle x+4\measuredangle B = 720[/tex]
[tex]\measuredangle x+4\measuredangle B = 180\implies 4\measuredangle B = 180-\measuredangle x\implies \measuredangle B = \cfrac{180-\measuredangle x}{4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \measuredangle B = 45 - \cfrac{\measuredangle x}{4}~\hfill[/tex]
how do you write this expression in word form?
Answer:
d-7 divided by 2 or over 2
According to the histogram of travel times to work from the US 2000 census (Page 6 of "Journey to Work: 2000"), roughly what percentage of commuters travel more than 45 minutes?
Histograms are used to represent data, where the length of each bar represents the frequency of the data element
The histogram is not given; So, I will give a general explanation.
Assume that the number of commuters that travel more than 45 minutes is 450, while the total number of commuters surveyed is 500.
The percentage of commuters that travel more than 45 minutes is the quotient of the commuters that travel more than 45 minutes and the total number of surveyed commuters.
So, we have:
[tex]\%Percentage = \frac{450}{500}[/tex]
Divide 450 by 500
[tex]\%Percentage = 0.9[/tex]
Express as percentage
[tex]\%Percentage = 90\%[/tex]
Hence, the percentage of commuters that travel more than 45 minutes is 90%
Read more about histograms at:
https://brainly.com/question/2776232
what is the domain and range of : {(2,4) (3'6) (4,8) (5,10) (6,12)}
Answer:
2,3,4,5,6 is the domain
4,6,8,10,12 is the range
Step-by-step explanation:
Answer:
The domain is {2,3,4,5,6} and the range is {4,6,8,10,12}.
Step-by-step explanation:
A random sample of 25 boxes of cereal have a mean of 372.5grams and a standard deviation of 15 grams. Does an average box of cereal contain more than 368 grams of cereal? Test hypothesis at the 5% significance level, outline all steps involved. (9mks)
Using the t-distribution, it is found that since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that an average box of cereal contain more than 368 grams of cereal.
At the null hypothesis, it is tested if the average box of cereal does not contain more than 368 grams, that is:
[tex]H_0: \mu \leq 368[/tex]
At the alternative hypothesis, it is tested if it contains, that is:
[tex]H_1: \mu > 368[/tex]
We have the standard deviation for the sample, hence, the t-distribution is used to solve this question.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.In this problem, the values of the parameters are: [tex]\overline{x} = 372.5, \mu = 368, s = 15, n = 25[/tex].
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{372.5 - 368}{\frac{15}{\sqrt{25}}}[/tex]
[tex]t = 1.5[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, with 25 -1 = 24 df, is of [tex]t^{\ast} = 1.71[/tex].
Since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that an average box of cereal contain more than 368 grams of cereal.
You can learn more about the use of the t-distribution to test an hypothesis at https://brainly.com/question/13873630