what is the equation of the line with the coordinates (-10,-7) and (-5,-9)
Answer:
y = − 2/5x − 11
Step-by-step explanation:
To answer this, we need to put it into y = mx + b form. First, we need to find the slope. The equation for that is:
[tex]m = \frac{-9 - (-7)}{-5 - (-10)}[/tex]
[tex]m = -\frac{2}{5}[/tex]
We now have the slope. Now, we need to figure out b, or the y-intercept. Using y = mx + b, we substitute the slope and an x value (it doesn't matter whether it's -10 or -5, but let's use -10 for now) and a y value (same thing).
[tex]-7 = (-\frac{2}{5})(-10) + b[/tex]
[tex]b = -11[/tex]
All that's left to do is plug it in! Our final answer is:
[tex]y = - \frac{2}{5}x - 11[/tex]
Answer:
[tex]y = - \frac{2}{5} x - 11 [/tex]
Step-by-step explanation:
[tex] (-10,-7) and (-5,-9) \\ x_{1} = - 10 \\ y_{1} = - 7 \\ x_{2} = - 5 \\ y_{2} = - 9[/tex]
[tex] \frac{y - y_{1}}{x -x_{1} } = \frac{y_{2} -y_{1}}{x_{2} - x_{1} } \\ \frac{y -( - 7) }{x - ( - 10)} = \frac{ - 9 - ( - 7)}{ - 5 - ( - 10)} \\ [/tex]
[tex]\frac{y + 7}{x + 10} = \frac{ - 2}{5} \\ cross \: multiply \\ 5(y + 7) = - 2(x + 10) \\ 5y + 35 = - 2x - 20[/tex]
[tex]collect \: like \: terms \: \\ 5y = - 2x - 20 - 35 \\ 5y = - 2x - 55 \\ \frac{ 5y = - 2x - 55}{ 5} \\[/tex]
[tex]y = - \frac{2}{5} x - 11[/tex]
Gill has five boxes that contain only red and yellow counters.
She takes a counter from a box without looking.
If the probability that she takes a red counter is 0.7, which box did she take it from? (1 mark)
Answer:
Box e
Step-by-step explanation:
14/20=0.7
y=-4x-5 y=3x-2 is (3,7) a solution of the system?
Answer:
No
Step-by-step explanation:
Does (3, 7) satisfy the first equation, y = -4x - 5? Is 7 = -4(3) - 5 true? NO. Thus, (3, 7) cannot be a solution of the system
y=-4x-5
y=3x-2
The given point (3, 7) is not the solution in the given case.
What is a system of linear equations?A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
Given equations are as follows,
y = -4x - 5 (1)
y = 3x - 2 (2)
In order to find whether (3,7) is the solution for them, substitute x = 3 and y = 7 in both the equations and check the LHS and RHS of both.
For equation (1),
y = -4x - 5
LHS is y = 7
RHS = -4x - 5
= -4 × 3 - 5
= -17
Since, LHS ≠ RHS, the given values of x and y are not the solution for the given equation.
Now, equation(2) need not to be checked as the result for the given values is already not valid for equation(1).
Hence, the given coordinate (3,7) is not the solution for the given equations.
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Identify any outlier(s) in the data.
{79, 75, 125, 61, 78, 63, 88, 76, 68, 82, 67}
Step-by-step explanation:
In my opinion 125 is an outlier because it is the only 3 digit number
TEN POINTS!!!! 8^-2 * 8^-9 in exponential form
Answer:
8^ -11
Step-by-step explanation:
8^-2 * 8^-9
The bases are the same so we can add the exponents
8 ^ (-2+-9)
8^ -11
Brainiest is be given upon the correct answer!!
Answer: 267.9
Step-by-step explanation:
New diameter = 8 inches
Radius = 4 inches
Volume of a sphere = 4/3 π x r^3
= 4/3 * 3.14 * 4^3
= 267.9 cu. in.
Um avião partiu de um aeroporto situado a 800 metros acima do nível do mar, com o tempo bem e a temperatura de 32° C. Ao atingir a altitude máxima, de 3 100 metros acima do nível do mar, o piloto observou que a temperatura externa era de – 41° C. Da decolagem até o momento em que foi atingida a altitude máxima, a variação da temperatura externa foi de:
Resposta: 73 ° C
Explicação passo a passo:
Dado o seguinte:
Temperatura (T1) na decolagem localizada a 800 metros acima do nível do mar = 32 ° C
Temperatura (T2) à altitude máxima de 3200 metros acima do nível do mar = - 41 ° C
Portanto ;
A variação da temperatura externa entre o ponto de decolagem e a altitude máxima pode ser calculada por:
Diferença entre a temperatura de decolagem e a temperatura na altura máxima.
Variação externa da temperatura = (T1 - T2)
32 ° C - (-41 ° C)
= 32°C + 41°C
= 73°C
Work out the mean for the data set below: 6, 4
Answer:
5
Step-by-step explanation:
The mean is the same as the average value of a data set and is found using a calculation. Add up all of the numbers and divide by the number of numbers in the data set.
please help me out with these
Answer:
first complete the table by filling blank space on y axis
Then choosing a suitable scale, two squared box on the graph paper represent 1 unit for both axis.
Then draw a graph using x and y coordinate
(b) minimum value of y you dote a line from the turning point of the curve towards y axis then read the value
For this case it is -3.2
(c).To get the value of y when X=-3.5,
you dote alone from X =-3.5 on the X axis towards the curve vertically until you meet the curve then from the meeting point dote a line towards y axis and read the value.
which gives y=0.8
(d). draw a horizontal line at y=3 to meet the curve on both sides then dote a line from the meeting point vertically towards X axis and read the value on the X axis.
For this case X=-4 or X=1Please answer this question now fast in two minutes
Answer:
2 or 3
Step-by-step explanation:
2 is one of them
3 is another of them
Choose the explicit and recursive formulas for the geometric sequence 45, 135, 405, 1215, 3645, .... PLEASE HELP ASAP
Answer:
Option (B)
Step-by-step explanation:
Given sequence is 45, 135, 405, 1215, 3645..........
Since it's a geometric sequence,
Common ratio of each successive term to the previous term
r = [tex]\frac{135}{45}=3[/tex]
First term of the sequence 'a' = 45
Explicit formula of a geometric sequence will be,
[tex]a_n=a(r)^{n-1}[/tex]
[tex]a_n=45(3)^{n-1}[/tex]
Recursive formula of this sequence will be,
[tex]a_n=3(a_{n-1})[/tex], [tex]a_1=45[/tex]
Therefore, Option (B) will be the answer.
I NEED HELP PLEASE, THANKS! :)
The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expected population of each country in 2025, assuming their annual growth rates remain steady. Show work.
Answer: see below
Step-by-step explanation:
Use the Exponential function: y = a(b)ˣ where
y = expected populationa = initial populationb = growth rate in decimal form (remember to add 100%)x = number of years[tex]\underline{\text{Australia:}}\\y=19,169,000(1.006)^5\\=\large\boxed{19,751,012}\\\\\\\underline{\text{China:}}\\y=1,261,832,000(1.009)^5\\=\large\boxed{1,319,645,764}\\\\\\\underline{\text{Mexico:}}\\y=100,350,000(1.018)^5\\=\large\boxed{109,712,539}\\\\\\\underline{\text{Zaire:}}\\y=51,965,000(1.031)^5\\=\large\boxed{60,534,681}[/tex]
Harry goes to Hogwarts School of Witchcraft and Wizardry. He can travel to school and back in 333 different ways: by the Hogwarts Express, a flying car, or the Knight Bus. He's decided to choose his methods of transportation to and from Hogwarts at random this year. Which of these tables lists all the different ways Harry can get to Hogwarts and back? (Each row represents one outcome.) Choose all answers that apply: Choose all answers that apply:
Answer:
its table A and B
Step-by-step explanation:
Answer:
both answers
Step-by-step explanation:
Try to answer the following question without running the code in Python:
If we run the following program:
a = 2 + 6
b = 7 % 3
c = a - b
c = c * 5
print(c)
what gets printed?
Answer:
35
Step-by-step explanation:
Given
the above lines of code
Required
What's the output
We'll analyze the code line by line
a = 2 + 6
At this point a = 8
b = 7 % 3
At this point b = 1. This is so because, the remainder of 7%3 is 1
c = a - b
At this point c = 7;
This is calculated by c = 8 - 1 = 7
c = c * 5
At this point; c = 35
This is calculated by: c = 7 * 5 = 35
print(c)
The value of c, which is 35 is printed
A shop advertises 10% off its prices in a sale.
A book is £6.30 in the sale
How much was it before the price reduction?
Answer:
£7
Step-by-step explanation:
Since the sale is 10% the original price, every item is being sold for 90% of its original price. Now the problem is: £6.30 is 90% of what number?
Let x = original price before sale
6.30 = 0.9x
0.9x = 6.3
Divide both sides by 0.9
x = 6.3/0.9
x = 7
Answer: £7
Which interval for the graft function has a local minimum of zero?
Answer:
[2,4]
Step-by-step explanation:
Use the Fundamental Theorem of Algebra to explain how many roots your expression can have. How many real roots and how many complex roots are possible? (x+3)^10
Answer:
We have the relation:
(x + 3)^10
As the degree of the polynomial is 10, we know that we can have 10 roots.
The theorem says that this has at least one complex root.
As you know, this is actually trivial, because for example, 4 can be a complex number with an imaginary part equal to zero.
In this case, the polynomial is only zero if we have x = 3.
Then we have 10 roots that are equal to x = 3.
and those 10 roots can be real, or we can have 10 roots equal to 3 + 0*i, that is a complex number.
TRUE OR FALSE:
An isosceles trapezoid is a trapezoid with congruent legs.
Answer:
True
Step-by-step explanation:
If a quadrilateral (with one set of parallel sides) is an isosceles trapezoid, its legs are congruent.
Answer:
the correct answer is true
Step-by-step explanation:
An isosceles trapezoid is a trapezoid with congruent legs.=true
hope this helps you!!!!!!!!!!
Which group of numbers is ordered from least to greatest?
A. 45,−0.9,−3
B. −3,−0.9,45
C. −0.9,45,−3
D. 45,−3,−0.9
Answer:
The answer is option B.
-3 , - 0.9 , 45
Hope this helps you
Explanation:
The negative numbers are always smaller than the positive ones. So we list those first. The number -3 is smaller than -0.9 since it is further to left on the number line. So far we have -3 followed by -0.9. The last value must be 45 as its the only thing left. The sequence from smallest to largest is therefore -3, -0.9, 45. A number line is recommended to see the values being placed from left to right.
HURRY PLEASE HELP ME I DONT KNOW WHAT TO DO
Answer:
3rd option
Step-by-step explanation:
Expand and then and then collect the following expression 3(a+2)+6(a+3)
Answer:
9a + 27
Step-by-step explanation:
=> 3(a+3) + 6(a+3)
Expand the brackets
=> 3a+9 + 6a+18
Combining like terms
=> 3a+6a+9+18
=> 9a + 27
Answer:
9a+24
Step-by-step explanation:
3a+6+6a+18
Simplify:
9a+24
Haruka hiked several kilometers in the morning. She hiked only 6 kilometers in the afternoon, which was 25%, percent less than she had hiked in the morning. How many kilometers did Haruka hike in all?
Answer:
14 km
Step-by-step explanation:
6 km in the afternoon
x km in the morning
6= x- 25%
6= 0.75x
x= 6/0.75
x= 8 km
total 6+8= 14 km
The difference in the X coordinates of two points is three and the difference in the Y coordinate is two points is six what is the slope of the line that passes through the points
Answer: The slope is 2.
Step-by-step explanation: Slope is Rise/Run
The rise is the difference in y-values, given as 6.
The Run is the difference in x-values, given as 3
6/3 = 2
Please answer this in two minutes fast
Answer:
(16,4)
Step-by-step explanation:
To go from M to S
(-4, 2.5)
Reverse
(16,4)
Answer:
work is shown and pictured
On a map, 1 cm represents 3 km. The real-life distance between two towns is 27 km. What is the distance between these two towns on a map?
Answer:
9 cm
Step-by-step explanation:
Every centemeter represents three. 3km=1cm.
The number of kilometers/3= the number of centemeters.
the number of centemeters x 3= the number of kilometers.
We now have three equations to help us covert back and forth.
The question asks us to convert 27km in real life, to centemeters on a map. We use the first forumla to help us:)
The number of kilometers/3= the number of centemeters.
27/3=the number of centemeters.
Thus, the answer is nine.
Answer:
9cm
Step-by-step explanation:
1:3 this is the starting ratio
if we replace 3 for 27 we just divide them to get 9 so the new ratio is 9:27.
2x2 − 10x − 28 6x × 6 x − 7
Answer:
no real solutions
Step-by-step explanation:
If equation is...
[tex]2x^2 - 10x - 28 = 6x(6x) - 7\\2x^2 - 10x - 28 = 6x^2 - 7\\0 = 4x^2 + 10x + 21\\4x^2 + 10x + 21 = 0[/tex]
= no real solutions
***plss help BRAINLIEST IF ANSWERED**
Circle D is shown with the measures of the minor arcs. Which angles are
congruent?
<EDH and <EDF
<EDF and <FDG
<FDG and <GDH
<GDH and <EDF
Answer:
<EDF and <FDG
Step-by-step explanation:
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Answer:
<EDF AND <FDG
Step-by-step explanation:
JUST took the form
The diagram shows a scale drawing of a playground the scale of the drawing is 1:500 work out the perimeter of the real playground give your answers in meters
The perimeter of the real playground is 1000(x+y) meters where x and y are the length and breadth of the scale drawing playground.
Perimeter of a rectanglePerimeter of a rectangle = 2 (length and breadth)
Given to us,the scale of the drawing is 1:500
Assumptionlet's assume that the length of the scale drawing playground is x and the breadth of the scale drawing playground is y. therefore, the length of the playground is 500x and the breadth is 500y.
Perimeter of the scale drawing playgroundPerimeter of the scale drawing playground = 2(length+breadth)
[tex]= 2 (x+y)[/tex]
Perimeter of the real playgroundPerimeter of the real playground = 2(length+breadth)
[tex]=2 (500x+500y)\\=2 \times 500(x+y)\\= 1000 (x+y)[/tex]
Hence, the perimeter of the real playground is 1000(x+y) meters where x and y are the length and breadth of the scale drawing playground.
Learn more about scaling and magnification:
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What are the non permissible values of (2n-5)/(3n+1)
Answer:
n= -1/3
Step-by-step explanation:
To find non permissible values (npv), focus on the denominator of an expression
In this case, the denominator is: (3n+1)
The npv is basically the value that would make the expression equal to 0
So, make the expression in the denominator equal 0
3n+1 = 0
Solve for n
3n= -1
n = (-1/3)
Thus, the npv for this equation is n= -1/3
Find the product: (5x + 5y) (x + 4y)
A. 4x2 +22ry - 12y2
B.5x2+ 20y2
c.5x2 + 25xy + 20y2
D. 35x2 - 54ry + 16y2
Answer:
c
Step-by-step explanation: