Find the equation of the line passing
through the points (3,-2) and (4, 6).
y = [? ]x + [ ]
Answer:
y = 8x - 26
Step-by-step explanation:
Since we already have the ending equation in slope intercept form, all we need to do is fill in the blanks. We do that by putting it in point slope form which is [tex]y-y_{1}=m(x-x_{1})[/tex]
(You can plug either point in and get the same result but I'm going to use the first one)
[tex]y-(-2)=8(x-3)[/tex]
Distribute the [tex]m(x-x_{3})[/tex]
[tex]y-(-2)=8x-24[/tex]
Isolate the [tex]y[/tex]
[tex]y-(-2)=y+2[/tex]
[tex]y+2(-2)=8x-24(-2)[/tex]
[tex]y=8x-26[/tex]
And that's your answer!
Mia borrows $320 to buy books for her college classes. The simple interest is 5% for
one year. Mia wants to know the total amount she will pay back.
Answer:
$336
Step-by-step explanation:
Find 5% of 320
320(0.05) = 16
320 + 16 = 336
The total will be $336
What fraction of the boys are red headed
Answer:
19/64
Step-by-step explanation:
number of boys:
11+21+13+19=64red haired boys:
19The fraction:
19/64Answer:
19/64
Step-by-step explanation:
number of boys: 11+21+13+19=64
red haired boys: 19
The fraction: 19/64
Subtract.
5x2 - 5+1
(2x2 +9x-6)
-_________
A. 3x2 - 4x+7
B. 3x2 - 14x+7
c. 3x2 + 4x - 5
D. 3x2 + 14x-5
Answer:
The answer is: [tex]3x^2-14x+7[/tex]
which agrees with answer B) among your list of possible options.
Step-by-step explanation:
I think you forgot an "x" in the first trinomial, so, let's try that:
[tex](5x^2-5x+1)-(2x^2+9x-6)=\\= 5x^2-5x+1-2x^2-9x+6=\\=3x^2-14x+7[/tex]
When Reshard was born, his uncle bought him a $200 savings bond. When Reshard turns 20 years old, the bond will have earned 130% interest. How much will the bond be worth when Reshard turns 20?
Answer: 260
Step-by-step explanation: When we 200 times 130% we will get 260.
0147:03
Which system of linear inequalities is represented by
the graph?
O y2X-2 and x - 2y <4
O y2 x + 2 and x + 2y <4
O y> x-2 and x + 2y < 4
O y>X-2 and x + 2y <-4
Answer:
y ≥ x - 2 and x + 2y < 4
Step-by-step explanation:
There are two lines graphed.
The dotted line passes through (0,2) and (4,0), then:
slope (m): (0 - 2)/(4 - 0) = -1/2
y-intercept (b): 2
equation:
y = mx + b
y = -1/2x + 2
multiplying by 2 at both sides, we get
2y = -x + 4
x + 2y = 4
The inequality is x + 2y < 4 because points below this line are shaded and points on the line are not included.
The solid line passes through (0,-2) and (2,0), then:
slope (m): (0 - (-2))/(2 - 0) = 1
y-intercept (b): -2
equation:
y = x - 2
The inequality is y ≥ x - 2 because points above this line are shaded and points on the line are included.
Can someone please help me with these two
Answer:
1a. {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
1b. {5}
Step-by-step explanation:
For part 1:
A U B is the union of all values, so {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
Remember that union means to include all values.
A n B is the intersection of all values, so {5}
Remember that the intersection means "what do they have in common".
When you need to convert from one system of measurement to another, you should convert to the
A. metric system.
B. system that will have the highest number.
C. system that will have the smallest number
D. system used on the medication label.
WILL GIVE BRAINLIEST AND 30 POINTS! Multiply the matrix representing the vertices of the rectangle to transform the figure. What are the coordinates of the resulting figure?
Answer:
What are the coordinates of the resulting figure?
✔ (0, 0), (4, 0), (4, –4), (0, –2)
Step-by-step explanation:
its C on Edge
I just took this assignment and got it right
The coordinate of the given figure is, (0, 0), (4, 0), (4, –4), (0, –2).
We have to determine the coordinates of the resulting figure.
What is the meaning of the coordinate?A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.it can be represented by (x,y) that is the x-value and y-value.
Therefore the value of x and y at point (0,0) is 0 and 0.
The value of x and y at point (0,2) is 0 and 2.
The value of x and y at point (4,4) is 4 and 4.
The value of x and y at point (4,0) is 4 and 0.
Therefore the coordinate of the given figure is,
(0, 0), (4, 0), (4, –4), (0, –2)
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What is the solution to (5m)² - (2n-3m)³ if m=-3 and n=5
Answer:
-6634
Step-by-step explanation:
all we have to do is plug in -3 everywhere m is and 5 where n is:
(5(-3))² - (2(5)-3(-3))³
(-15)² - (10+9)³
225 - 6859
-6634
What is the area of the obtuse triangle given below?
Answer:
9 sq. units
Step-by-step explanation:
We khow that the area of a triangle is Area= (base*height)/2 so A=(9*2)/2=18/2=9Answer:
C
Step-by-step explanation:
Optimize the equation P = 4x + 3y using the constraints x > 0, x < 4, y <
5. What is the maximum?
a. 13
b. 15
c. -3
d. 31
Answer:
Option D is correct
Step-by-step explanation:
With x < 4 and y < 5:
P = 4x + 3y < 4(4) + 3(5) = 16 + 15 = 31
=> Option D is correct
Given the equation P = 4x + 3y With constraints x > 0, x < 4 and y < 5:
Option D is correct that is 31.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given the equation P = 4x + 3y
With constraints x > 0, x < 4 and y < 5:
The maximum value is
P = 4x + 3y < 4(4) + 3(5)
P = 16 + 15
P = 31
Hence, the Option D is correct.
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Write the equation of the line that passes through the points (8,-2)(8,−2) and (5,5)(5,5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
The the equation of the line through the points (8, -2) and (5, 5) in slope-intercept form is
[tex]y=-\frac{7}{3} x+\frac{50}{3}[/tex]
Step-by-step explanation:
Let's start by calculation the slope of the line by finding the slope of the segment that joins the two given points (8, -2) and (5, 5):
[tex]slope=\frac{y_2-y_1}{x_2-x_1} \\slope=\frac{5-(-2)}{5-8}\\slope=\frac{7}{-3} \\slope=-\frac{7}{3}[/tex]
Now we use this slope in the general slope-intercept form of a line;
[tex]y=mx+b\\y=-\frac{7}{3} x+b[/tex]
and then we calculate the value of the intercept "b" by using one of the given points through which the line must pass (for example (5,5) ), and solving for b:
[tex]y=-\frac{7}{3} x+b\\5=-\frac{7}{3} (5)+b\\5=-\frac{35}{3} +b\\b=5+\frac{35}{3}\\b=\frac{50}{3}[/tex]
The the equation of the line is
[tex]y=-\frac{7}{3} x+\frac{50}{3}[/tex]
Plz help me y/12-5=11
Answer:
192
Step-by-step explanation:
y/12-5=11
y/12=11+5
y/12=16
y=16x12
y=192
Answer:
y = 192
Step-by-step explanation:
1st add 5 to both sides 12 to get 7: [tex]\frac{y}{11} =16[/tex]
then multiple both sides by 11 to isolate the y : [tex]y=192[/tex]
(11 times 16 equals 192)
Write the slope-intercept form of the equation that passes through the point (0, 1) and is parallel to the line y = 3x - 5
Answer: y = 3x + 1
Step-by-step explanation:
In the equation y=mx+b (slope - intercept form), m represents the slope and b represents the y - intercept of the equation. We can use this to answer the problem.
Because the problem specifies here that the equation we are trying to solve for is parallel to y= 3x - 5, we can assume that its slope is 3 (the same as the line it is parallel to - this is so because of the definition of parallel lines).
m = 3
And finally, we know that the y-intercept will be in the form (0, b) - which is exactly what the given point is in. Substitute the value in, and we get:
b = 1
Now put these two values into one equation.
y = mx + b
y = (3)x + (1)
y = 3x + 1
Lines L and M are parallel.
4
3
5
L
2
1/6
38° 7.
- M
Find : m24
Enter the number that
belongs in the green box.
?]
Enter
Answer:
m∠4 = 38°
Step-by-step explanation:
The angle that measures 38° and ∠6 are vertical angles, which means that they are congruent, therefore m∠6 = 38°
∠6 and ∠4 are corresponding angles, which means that they are congruent, therefore m∠4 = m∠6 = 38°
determine the horizontal asymptote for the rational function.
Answer:
y = 1
Step-by-step explanation:
The horizontal asymptote is the line, horizontally, where the graph doesn't cross. In this case, the graph approaches y = 1, but never touches 1, so your answer is y = 1.
A discount of 16 % saved $38 on office supplies. whatw as the price of supplies before the discount ?
Answer:
$44.08
Step-by-step explanation:
Answer:
$237.5
Step-by-step explanation:
You will divide 38 by .16 to get the answer.
What is the volume of the rectangular prism below/described? (Don't forget to label your answer!)

Length= 4 1/2 in. Width= 5 in. Height= 3 3/4 in.
The volume of the prism is ___.
(hint: in2 is inches squared; in3 is inches cubed)
Answer:
Step-by-step explanation:
Volume = Length times width times height.
Here,
Volume = (4.5 in)(5 in)(3.75 in), which, when evaluated by calculator, comes out to 84.375 cubic inches.
This is equivalent to 84 3/8 cubic inches.
Answer:
[tex]84\frac{3}{8}in^3[/tex]
Step-by-step explanation:
V = L * W * H
V = 4 1/2 * 5 * 3 3/4
V = 9/2 * 5/1 * 15/4
V = 675/8
V = 84 3/8
express 3m24cm in kilometers,leaving your answer in standard form
Answer:
0.00324 kilometres
Step-by-step explanation:
Remember:
100 centimeters = 1 meter
1000 meters = 1 kilometer
So first, let's add together the meters and centimeters. To do that, we have to convert the meters to centimeters. That would become 300 centimeters, then you add the 24 centimeters to get 324 centimeters. Then, you convert that to kilometers. You can use a calculator for this, but I'll show you how to do this without a calculator. Since 100 centimeters is one meter, and 1000 meters equals to one kilometer, there would be 5 spaces from 324 to our answer, so you move the invisible decimal point 5 spaces to the left, and you get your answer, which is 0.00324 kilometres!
Answer:
0.00324 km is the answer
With reference to the figure, sin x =
Answer:
0.894
Step-by-step explanation:
Data provided in the question
BC length = 17.89 unit
DC length = 16 unit.
Now, we have to compute the angle y with the help of the cosine function;
Cosine defines the ratio between the right angle adjacent side and the hypotenuse
[tex]\cos = \frac{Adjacent side}{Hpotenuse}[/tex]
As per the triangle BDC;
Hypotenuse = BC =17.89 unit
And, the Adjacent side = 16 units
So;
[tex]\cos y =\frac{16}{17.89} =0.894354388[/tex]
[tex]y =\cos^{-1} (0.894354388) = 26.57^{\circ} (nearest\ to\ hundredths\ place)[/tex]
Now, determine the value of angle x
In right angle ΔABC;
As we know that
The three angles sum is 180 degrees
So,
[tex]\angle A + \angle B +\angle C =180^{\circ} ....(1)[/tex]
According to the given figure
[tex]\angle B=90^{\circ}, \angle A =x^{\circ}[/tex]
and
[tex]\angle C =y=26.57^{\circ}[/tex]
Now Substitute these in (1) for solving the angle x;
[tex]x^{\circ}+90^{\circ}+y^{\circ} =180^{\circ}[/tex]
or
[tex]x^{\circ}+90^{\circ}+26.57^{\circ} =180^{\circ}[/tex]
or
[tex]x^{\circ}+116.57^{\circ} =180^{\circ}[/tex]
[tex]x^{\circ}=180^{\circ} - 116.57^{\circ}=63.43^{\circ}[/tex]
Finally we have to determine the value of sin x;
Hence,
The value of [tex]\sin 63.43 =0.89438856[/tex]
or
= 0.894
Answer:
sin x = 0.894
Step-by-step explanation:
I hope you are refering to this figure:
Which division problem is represented in the picture?
Answer:
B. 3 1/3 (3/2)
Step-by-step explanation:
10/3 = 3 1/3
3 1/3 / 2/3 is basically equal to 3 1/3 * 3/2 as you have to use keep change flip for dividing fractions.
3/16 + 1/8 + 1/4 =?
Simple math let’s see who answers it right !
Answer:
9/16
Step-by-step explanation:
3/16 + 2/16 + 4/16 = 9/16
Answer:
9/16
Step-by-step explanation:
To solve this, you first need to give all the fractions a common denominator. In this case all the denominators can be mutiplied to 16, so that will be our common denominator. So now that all of the denomitors are the same,(3/16+2/16+4/16) we can start solving the problem. First, 3/16+2/16=5/16. Then do, 5/16+4/16=9/16.
what is the answer to...[tex]-\frac{2}{3} (4x-6)+\frac{1}{3}(x-5)[/tex]
Given the function f(x)=-3x^2+4x+6 find f(2) and f(3)
Answer:
f(2)= 2, f(3)= -9
Step-by-step explanation:
To find f(2) o f(3), you simply plug the respective number into the function, substituting it for x:
f(2)= -3(2)^2 + 4(2) + 6
f(2)= -12 + 8 + 6
f(2)= 2
f(3)= -3(3)^2 + 4(3) + 6
f(3)= -27 + 12 + 6
f(3)= -9
Hey guys please help me solve and find angle w
Answer:
Step-by-step explanation:
in a parellelogram,Opposite angles of a parallelogram are congruent
110=11x+11
110-11=11x
99=11x
99/11=x
9=x
<w= 110 °
Can anyone give me the median and mean of this problem
Answer:
Mean = 76
Median = 75.2
Step-by-step explanation:
Mean - put all the temperatures in order and pick the middle one.
Median - add all the temperatures together and divide by 20.
of the methods for solving systems of equations, which is the least accurate and may only give an approximate answer?
a. Graphing
b. Substitution
c. Elimination
d. None, they are all exact.
Graphing is the least accurate method for solving systems of equations, and it may only give an approximate answer. Hence, option A is the right choice.
What is the system of equations?A system of equations is made up of two or more equations that are solved at the same time.
What are the different ways of solving systems of equations?There are three ways to solve a system of equations:
Graphing: All equations are graphed and the point of intersections are the solutions for the system of equations.Substitution: One variable is isolated in one equation, and its value is substituted in the other equation to solve the system of equations.Elimination: Operations are done on all equations to eliminate one variable and then solve for the system of equations.How to solve the question?In the question, we are asked which method for solving systems of equations is the least accurate and may only give an approximate answer.
We have discussed all methods above.
Of these methods, when solving manually, as the degree of the equation gets bigger and bigger, the graphing of equations will become difficult, and thus the graphing method will be the least accurate.
Thus, graphing is the least accurate method for solving systems of equations, and it may only give an approximate answer. Hence, option A is the right choice.
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What is the smallest number that is divisible by 1,2,3,4,5,6,7,8,9 and 10? How do you know? (explain) hurry pls
Answer:
The smallest number that is divisible by 1,2,3,4,5,6,7,8,9 and 10 is 2,520.
Step-by-step explanation:
2520/1 = 2520
2520/2 = 1260
2520/3 = 840
2520/4 = 630
2520/5 = 504
2520/6 = 420
2520/7 = 360
2520/8 = 315
2520/9 = 280
2520/10 = 252
10 tolas gold bought from American market at $ 553 per tola is sold in Nepal at 20% customs duty charge and 13% VAT. At what price should it be sold ?
Answer: $735.49
Step-by-step explanation:
Given, the price of 10 tolas gold bought from American market = $553
Custom duty charge = 20%
VAT = 13%
Custom duty charge = 20% of $553
= 0.20 x 553 [we divide a perecntage to convet it into decimal]
= $110.6
VAT = 13% of $553
= 0.13 x 553
= $71.89
Selling price = Original price +Custom duty charge + VAT
= $553+$110.6+ $71.89
= $735.49
Hence, it should be sold at $735.49 .