Answer:
[tex]y=-\frac{1}{3}x -1[/tex]
Step-by-step explanation:
This is the Slope-intercept form
− 10x− 6y= 12
4x+ 7y=− 14
Answer:
x = 0, y = -2
Step-by-step explanation:
[tex]\left \{ {{-10x-6y=12} \atop {4x+7y=-14}} \right. = \left \{ {{-10x=12+6y} \atop {4x+7y=-14}} \right. = \left \{ {{x=\frac{12+6y}{-10} }(1) \atop {4x+7y=-14}} \right[/tex]
Replace x from formula (1) to formula (2), we got:
[tex]4*\frac{12+6x}{-10}=-14 <=> \frac{-2}{5}(12+6y)+7y=-14 <=> \frac{-24}{5} + \frac{-12}{5}y+7y=-14 <=> \frac{23}{5}y = \frac{-46}{5} <=> y = -2\\=> x= \frac{12+6*(-2)}{-10} = 0[/tex]
In a class of 25 students
the mean height of the 15 girls is 1.65 metres
the mean height of all 25 students is 1.682 metres.
Work out the mean height of the boys.
The mean height of the boys will be 1.73m.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
Given that:-
In a class of 25 students, the mean height of the 15 girls is 1.65 meters the mean height of all 25 students is 1.682 meters.If the mean height of 15 girls is 1.65m, the sum of the girls’ heights is 15×1.65 = 24.75m.
If the mean height of 10 boys is x meters, the sum of the boys’ heights is 10x m. The sum of all 25 students’ heights is
25×1.682=42.05m.
The mean height of the boys.
24.75+10x=42.05,
x =(42.05-24.75)/10
x =1.73m,
Therefore the mean height of the boys will be 1.73m.
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help with geometry!!!!!
Answer:
NO
Step-by-step explanation:
To find the length of AB
AB = sqrt( (x2-x1)^2 + (y2-y1)^2)
= sqrt ( ( 2 - -1)^2+ ( -1 -3)^2)
= sqrt( 3^2 + (-4)^2)
= sqrt(9+16)
= sqrt(25)
= 5
To find the length of AC
AC = sqrt( (x2-x1)^2 + (y2-y1)^2)
= sqrt ( ( -4 - -1)^2+ ( -1 -3)^2)
= sqrt( ( -3)^2 + (-4)^2)
= sqrt(9+16)
= sqrt(25)
= 5
To find the length of BC
BC = sqrt( (x2-x1)^2 + (y2-y1)^2)
= sqrt ( ( -4-2)^2+ ( -1 --1)^2)
= sqrt( ( -6)^2 + (0)^2)
= sqrt(36)
= 6
This is not an equilateral triangle since BC is not equal to AB = AC
Answer:
AB = AC = 5 units BC = 6 units No it is not a equilateral triangleStep-by-step explanation:
Some coordinates of a triangle is given to us. And we need to find the length of AB , BC and AC . The given coordinates are ,
[tex]\rm\implies Coordinates = A(-1,3) , B(2,-1) \ and \ C(-4,-1) [/tex]
We can use the Distance Formula to find the length of sides of the triangle .
Finding length of AB :-
[tex]\rm\implies Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2} \\\\\rm\implies \overline{AB}= \sqrt{ (-1-2)^2+(-1-3)^2} \\\\\rm\implies \overline{AB}= \sqrt{ (-3)^2+(-4)^2} \\\\\rm\implies \overline{AB}= \sqrt{ 9 + 16} \\\\\rm\implies \overline{AB}= \sqrt{25} \\\\\rm\implies\boxed{\red{\rm \overline{AB}= 5 \ units}}[/tex]
Finding length of AC :-
[tex]\rm\implies Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2} \\\\\rm\implies \overline{AC}= \sqrt{ (-1+4)^2+(-1-3)^2 }\\\\\rm\implies \overline{AC}= \sqrt{ (-3)^2+(-4)^2} \\\\\rm\implies \overline{AC}= \sqrt{ 9 + 16} \\\\\rm\implies \overline{AC}= \sqrt{25} \\\\\rm\implies\boxed{\red{\rm \overline{AC}= 5 \ units}}[/tex]
Finding length of BC :-
[tex]\rm\implies Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2} \\\\\rm\implies \overline{BC}= \sqrt{ (-4-2)^2+(-1-1)^2} \\\\\rm\implies \overline{BC}= \sqrt{ 6^2+0^2} \\\\\rm\implies \overline{BC}= \sqrt{ 36+0} \\\\\rm\implies \overline{BC}= \sqrt{36} \\\\\rm\implies\boxed{\red{\rm \overline{BC}= 6 \ units}}[/tex]
Is it a Equilateral triangle ?
No the given triangle is not a equilateral triangle since the measure of all sides is not same.
Explain the land resource of Nepal according to ecological division. (NOT EXPECTING ANY SILLY ANSWERS)
Answer:
nepal is a land locked country.it is surrounded by india from eas west and south and chime form north
according to ecological fivison it is divided into three region
1.terai
2.hilly
3. himalyan
In hilly region there is more production of crops and vegetables . peplo come in terai region to sell vegetables and they do work with unity .
thry have their own work.so they work in unity which help to terai region grow crops and hilly region sell it in Himalayan region from which terai help to grow crops usually there is a fertile land and it occupies 42%.
PLEASE HELP!! what is the value of x?
Answer:
[tex]\frac{3x}{4x} =\frac{3x+7}{5x-8}[/tex]
[tex]\frac{3}{4} =\frac{3x+7}{5x-8}\: (cross\: multiply)[/tex]
[tex]3(5x-8)=4(3x+7)[/tex]
[tex]15x-24=12x+28\\+24~~~~~~~~~~~~+24[/tex]
[tex]15x=12x+52\\-12x~~~~-12x\\-------\\3x=52[/tex]
[tex]\frac{3x}{3} =\frac{52}{3}[/tex]
[tex]x=52/3[/tex]
[tex]Answer:C[/tex]
-------------------------
Hope it helps...
Have a great day!!
Which shows the numbers One-tenth, 0.9, Three-tenths in order from least to greatest?
Which equation can be used to find one multiple of 16?
Answer:
Simultaneously equation
Evaluate
4
1
3
×
1
3
4
Give your answer as a mixed number.
Answer:
[tex]7\frac{7}{12}[/tex]
Step-by-step explanation:
Choose the correct equation for the graph shown below
Answer:
the second option, y=1/2cos(x- pi/4)
Step-by-step explanation:
Solve the equation x^2 - 4x + 6 = 9 by completing the square.
Hello!
x² - 4x + 6 = 9 <=>
<=> x² - 4x + 6 - 9 = 0 <=>
<=> x² - 4x - 3 = 0 <=>
<=> x = -(-4)±√(-4)²-4×1×(-3)/2×1 <=>
<=> x = 4±√16+12/2 <=>
<=> x = 4±√28/2 <=>
<=> x = 4±2√7/2 =>
=> x = 4+2√7/2 and x = 4-2√7/2 =>
=> x = 2+√7 and x = 2-√7
The equation has two solutions.
Good luck! :)
Answer: [tex]x= 2 + \sqrt{7}\\ or \\ x= 2 - \sqrt{7}[/tex]
how i got it?
[tex]x^2 - 4x + 6 = 9[/tex]
*subtract 9 on both sides*
[tex]x^2 - 4x + 6 - 9 = 0[/tex] ( which turns to) [tex]x^2 - 4x - 3=0[/tex]
a=1 or x, b=-4, c=-3
Step 2: Use quadratic formula with a=1, b=-4, c=-3.
[tex]x= - (-4) + or - \sqrt{-4}x^{2} -4(1)(-3) / 2(1)[/tex]
which turns to: x= 4 + or - √28 divided by 2
the final answer should be [tex]x= 2 + \sqrt{7}\\ or \\ x= 2 - \sqrt{7}[/tex]
which one of these numbers is a whole number?
Answer:
0 is the whole number
Step-by-step explanation:
negative numbers are negative so they can't be counted as whole numbers which means -5 isn't an option.
Whole numbers can't be stated in fraction form so 2/3 is not applicable here.
32.8 is also not the answer as decimals are part of a whole number, not actual whole numbers.
so, 0, is the only right answer here
what is the volume of the cylinder?
write you answer in terms of pi
The volume of a cylinder is V=πr^2*h.
The volume of this cylinder is V=π(7)^2*12, which it V=588π.
The circumference of a circle is 2π m. Find its diameter, in meters.
Answer:
The diameter is 2 meters
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d
2 pi = pi *d
Divide each side by pi
2 = d
The diameter is 2 meters
Plz help out will give brainliest
Answer:142
Step-by-step explanation:
Answer: 142°
Step-by-step explanation:
The inside angles will always add up to 180° for triangles
So do
[tex]180-30-34 = 116[/tex]
But since you are subtracting 26 from U ad 26 to u and you get your answer.
116 + 26 = 142
Find the value of x.
I need answers anyone help
Hanz’s class had a goal to collect 250 cans of food for the school food drive. They collected 290 cans. What percent of their goal did they achieve?
Given:
Goal = 250 cans
Number of collected cans = 290
To find:
The percent of their goal they achieved.
Solution:
The percent of their goal they achieved is:
[tex]\text{Required percent}=\dfrac{\text{Number of collected cans}}{\text{Goal}}\times 100[/tex]
[tex]\text{Required percent}=\dfrac{290}{250}\times 100[/tex]
[tex]\text{Required percent}=\dfrac{29}{25}\times 100[/tex]
[tex]\text{Required percent}=29\times 4[/tex]
[tex]\text{Required percent}=116[/tex]
Therefore, they achieved 116% of their goal.
Solve the following equation for the variable given.
9514 1404 393
Answer:
b = -2ax
Step-by-step explanation:
Multiply both sides of the equation by -2a.
x = -b/(2a)
(-2a)x = b(-2a)/(-2a) = b
b = -2ax
In 60 words or fewer, write what you think the term economy means. Think about how money fits into your definition.
Step-by-step explanation:
An economy is made up of every single activity that has to do with production, consumption, and the buying and selling of goods or rendering services.
In an economy there are combinations of market transactions and decisions made collectively or in hierarchy. Individuals, families, businesses, governments make up the decision-making process.
Money is the legal tender of an economy. It is the medium of exchange that an economy uses for transactions.
In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
bx = -7
Answer:
x = -7/b
Step-by-step explanation:
bx = -7
Divide each side by b
bx/b = -7/b
x =-7/b
Solve the equation for x : bx = -7
Solution :Here we are provided to find for x so from the equation by cross multiplying we will remove b to the right hand side of the equation and then we can get x
bx = -7
Now, to cross multiply
x = -7/b
Therefore, the required answer is -7/b
Show that x = -2 is a solution of 3x² + 13x + 14 = 0
Answer:
x= -2 is correct answer
Step-by-step explanation:
3(-2×-2)+13(-2)+14=0
3(4)+13(-2)+14=0
12+(-26)+14=0
12-26+14=0
12+14-26=0
26-26=0
0=0
Which equations have the same value of x as StartFraction 5 over 6 EndFraction x + two-thirds = negative 9?
Susan's graduation picnic will cost $78 if it has 26 attendees. At most how many attendees can there be if Susan budgets a total of $81 for her graduation picnic?
Answer:
27 attendees
Step-by-step explanation:
First, we can find the cost per attendee.
78÷26
3
So $3 per attendee.
Then divide 81 by 3 to find the number of possible attendees.
81÷3=27
I hope this helps!
2d+5(-6z-4) use z=3 d=9 .. Its between -92 and 1 .. I need help !! Thanks for whoever doing this for me . <3
Answer:
Step-by-step explanation:
Filling in the values we were given:
[tex]2(9)+5(-6(3)-4)[/tex] and we start inside the parenthesis first:
[tex]2(9)+5(-18-4)[/tex] and
[tex]2(9)+5(-22)[/tex] and by order of operations, we do multiplication or division, whichever we come to first:
18 - 110 = -92
How many 3-digit numbers are possible to form with all the digits being different?
Answer:
We can make 120 three digit distinct numbers
Step-by-step explanation:
Answer:
648Step-by-step explanation:
If the number is xyz, we have:
x = 1 to 9, total 9 waysy = 0 to 9, total 10 ways minus 1 to prevent repetition, so 9 waysz = 0 to 9, total 10 ways minus 2 ways to prevent repetition, so 8 waysTotal number of possible 3-digit numbers:
9*9*8 = 648Trevor and his family rented 2 hotel rooms while they were on vacation. The rooms cost them $375, excluding 7% tax. What was the total cost of the hotel rooms?
Answer:
The total cost of the hotel rooms was $401.25.
Step-by-step explanation:
Rooms = $375 + 7% tax
Convert 7% to a decimal:
7% = 0.07
Multiply the cost by the tax:
$375 × 0.07
$26.25
Add the tax to the cost:
$375 + $26.25
$401.25
Square root between 32
Answer:
[tex] \sqrt[4]{2} [/tex]
Step-by-step explanation:
I hope I answer your question
Which of the equations below could be the equation of this parabola?
O A. y = -1/2 x2
O B. y = 1/2 x2
O C. y= 1/2 y2
O D. x= -1/2 y2
After answering the question provided, we can predict that the result will be as The position and direction of the relevant parabola will determine the appropriate response.
What is equation?A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.
It is hard to tell which equation may be the equation of the parabola without further details on the parabola's orientation and location.
The equations in options A and B are parabolas with upward or downward openings and a vertex at the origin. The equation of a parabola with its vertex at the origin and an opening to the right or left is in Option C. The equation of a parabola with an upwards or downwards opening and its vertex at the point is in Option D. (0,0).
The position and direction of the relevant parabola will determine the appropriate response.
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what is the answer to this question
Step-by-step explanation:
here's the answer to your question
Answer:
x = 45. the option is C
Ihope its right
I NEED HELP IM LATE PLEASE
Answer:
9x, 8x+12
Step-by-step explanation:
x(2x+7)-2x(x-1)
=> 9x
Chris rents a car for a total of £375. The rental charges are £150 for the first day and £75 per day after that. For how many days did Chris rent the car? You must show your working.
I have attempted the question (see picture), but I've only managed to get 2/3 marks!!! Please help! (I will award brainliest btw) TIA ;-)
9514 1404 393
Answer:
4 days
Step-by-step explanation:
The total charges can be modeled by ...
c = 75d + 75 . . . . . . charges for d days
Filling in the given charge, we find ...
375 = 75d +75
300 = 75d . . . . . . . subtract 75
4 = d . . . . . . . . . . divide by 75
Chris rented the car for 4 days.
Answer:
4 DAYS!! THIS GETS ALL 3 MARKS!!!
Step-by-step explanation:
COPY AND PASTE THIS I USED IT EVEN THO ITS LONG <333 IT GETS THE 3 MARKSChris rents a car for a total of £375. The rental charges are £150 for the first day and £75 per day after that. For how many days did Chris rent the car? You must show your working.
£375.00 - £150.00 = £225.00
£225.00 - £75.00 = £150.00
£150.00 - £75.00 = £75.00
£75.00 - £75.00 = £00.00
= Chris rented the car for 4 days
225.00 ÷ 75 = 3
3 days + 1 days = 4 days
he total charges can be modeled by ...
c = 75d + 75 . . . . . . charges for d days
Filling in the given charge, we find ...
375 = 75d +75
300 = 75d . . . . . . . subtract 75
4 = d . . . . . . . . . . divide by 75
Answer:4 days
Total=375
150+(75×4)=150+75+75+75=375
4 days
