Answer:
(8) [tex]x + y = -8[/tex] and [tex]2x - y = -10[/tex]
(9) [tex]3x - y = -54[/tex] and [tex]4x + y = -30[/tex]
(10) [tex]x + y = 2[/tex] and [tex]x - y = 2[/tex]
Step-by-step explanation:
Given [Missing from the question]
[tex](8).\ (-6,-2)\ \\ (9).\ (-12,18)\ \\ (10).\ (2,0)[/tex]
Required
Write a system of linear equations
The solutions to this question is open and have different solutions
Solving (8) (-6,-2)
Let the equations be: x + y and 2x - y
[tex]x + y = -6 - 2[/tex]
[tex]x + y = -8[/tex] --- (1)
[tex]2x - y = 2 * (-6) - (-2)[/tex]
[tex]2x - y = -10[/tex] -- (2)
So, the equations are:
[tex]x + y = -8[/tex] and [tex]2x - y = -10[/tex]
Solving (9) (-12, 18)
Let the equations be: 3x - y and 4x + y
[tex]3x - y = 3 *(-12) - 18[/tex]
[tex]3x - y = -54[/tex]
[tex]4x + y = 4 * (-12) + 18[/tex]
[tex]4x + y = -30[/tex]
So, the equations are:
[tex]3x - y = -54[/tex] and [tex]4x + y = -30[/tex]
Solving (9): (2,0)
Let the equations be: x + y and x - y
[tex]x + y = 2 + 0[/tex]
[tex]x + y = 2[/tex]
[tex]x - y = 2 - 0[/tex]
[tex]x - y = 2[/tex]
So, the equations are:
[tex]x + y = 2[/tex] and [tex]x - y = 2[/tex]
Consuelo recorded the amount of time, in minutes, she spent exercising on the treadmill. 15, 25, 30, 25, 45, 20, 35, 30, 35, 30, 40 Which value best represents the mode? 10 min 10 min 30 min 30 min 35 min 35 min 25 min
Answer: 30 mins.
Step-by-step explanation:
The mode is the value that appears the most times.
In such a situation, first order the numbers in an ascending order:
15, 20, 25, 25, 30, 30, 30, 35, 35, 40, 45
As can be seen from the above, 30 is the number that appears the most so the mode is 30 mins.
5. Write the slope-intercept form of the equation that passes through the point (-1, 2) and is perpendicular to the line y = 3/2x + 6
O y = 3/2x + 5/2
O y = 3/2x + 4/3
O y = -2/3x + 5/2
O y = -2/3x + 4/3
Answer:
D. y = -2/3 x + 4/3
Step-by-step explanation:
When you have a perpendicular line, everything except the y-intercept becomes opposite. So 3/2x + 6 will become -2/3x.
To find the slope, you have to plug the coordinates into the equation so far which is y = -2/3x + b
y = -2/3x + b
2 = -2/3(-1) + b
2 = 2/3 + b
4/3 = b
So the equation is y = -2/3 x + 4/3.
Please help !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1) b - correct statement: The interquartile range of the number of volunteers is 16
2) c - correct statement: About 50% of the students have between a 75 and a 90
Step-by-step explanation:
1B --> 66 - 50
2C --> About 50% of the students have between a 75 and a 90
area of rectangular figures
Answer:
531 in^2
Step-by-step explanation:
21 x 18 = 378 in^2
17 x 9 = 153 in^2
378 + 153 = 531 in^2
3. Graph the function.
xy + 25 = 0
Answer:
look at the answer below
Step-by-step explanation:
this is xy + 25 = 0 if you wanted it. hope it helps
Answer:
(Rational Functions Practice)
3. Graph the function. (1 point)
xy+25=0
Step-by-step explanation:
Graph B. is the correct answer
Javier's speed is equivalent to
(answer) feet per second.
Answer:
please be more specific
Step-by-step explanation:
This isn't a lot of info, we don't know how fast he is, so find the speed, and divide it by feet! easy! Hope this helps enough?
Martin is making a model of a Native American canoe. He has 5 1/2 feet of wood he uses 2 3/4 feet for the whole and 1 1/4 feet for a paddle how much does he have left
Answer:
1 1/2 feet
Step-by-step explanation:
Martin is making a model of a Native American canoe. He has 5 1/2 feet of wood he uses 2 3/4 feet for the whole and 1 1/4 feet for a paddle how much does he have left
This is calculated as:
5 1/2 feet - ( 2 3/4 feet + 1 1/4 feet)
Lowest Common Denominator 4
5 1/2 feet - (2 + 1 ( 3 + 1/4)
5 1/2 feet - 3 + 1
5 1/2 feet - 4 feet
= 1 1/2 feet of wood left
i really need help with this
378x378x378x378x378x378x378x378x378
Answer:
378x³⁰²
Step-by-step explanation:
378x378x378x378x378x378x378x378x378
=378*x^378*x^378*x^378*x^378*x^378*x^378*x^378*x^378
=378*x3024
=378x³⁰²
Hope this helps
The number 720 can be expressed as
24 x 36 x 5. Work out the values of a and b.
Answer:
24×36×5=4,320
4,320÷6=720
Answer:
I don't understand your question.
1. Find the equation of a line, in Slope Intercept Form, that has a slope of 2 and
passes through the point (-3, 1).
Answer: y = 4
Step-by-step explanation:
Find the point (,) on the curve =8 that is closest to the point (3,0). [To do this, first find the distance function between (,) and (3,0) and minimize it.]
Question:
Find the point (,) on the curve [tex]y = \sqrt x[/tex] that is closest to the point (3,0).
[To do this, first find the distance function between (,) and (3,0) and minimize it.]
Answer:
[tex](x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})[/tex]
Step-by-step explanation:
[tex]y = \sqrt x[/tex] can be represented as: [tex](x,y)[/tex]
Substitute [tex]\sqrt x[/tex] for [tex]y[/tex]
[tex](x,y) = (x,\sqrt x)[/tex]
So, next:
Calculate the distance between [tex](x,\sqrt x)[/tex] and [tex](3,0)[/tex]
Distance is calculated as:
[tex]d = \sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}[/tex]
So:
[tex]d = \sqrt{(x-3)^2 + (\sqrt x - 0)^2}[/tex]
[tex]d = \sqrt{(x-3)^2 + (\sqrt x)^2}[/tex]
Evaluate all exponents
[tex]d = \sqrt{x^2 - 6x +9 + x}[/tex]
Rewrite as:
[tex]d = \sqrt{x^2 + x- 6x +9 }[/tex]
[tex]d = \sqrt{x^2 - 5x +9 }[/tex]
Differentiate using chain rule:
Let
[tex]u = x^2 - 5x +9[/tex]
[tex]\frac{du}{dx} = 2x - 5[/tex]
So:
[tex]d = \sqrt u[/tex]
[tex]d = u^\frac{1}{2}[/tex]
[tex]\frac{dd}{du} = \frac{1}{2}u^{-\frac{1}{2}}[/tex]
Chain Rule:
[tex]d' = \frac{du}{dx} * \frac{dd}{du}[/tex]
[tex]d' = (2x-5) * \frac{1}{2}u^{-\frac{1}{2}}[/tex]
[tex]d' = (2x - 5) * \frac{1}{2u^{\frac{1}{2}}}[/tex]
[tex]d' = \frac{2x - 5}{2\sqrt u}[/tex]
Substitute: [tex]u = x^2 - 5x +9[/tex]
[tex]d' = \frac{2x - 5}{2\sqrt{x^2 - 5x + 9}}[/tex]
Next, is to minimize (by equating d' to 0)
[tex]\frac{2x - 5}{2\sqrt{x^2 - 5x + 9}} = 0[/tex]
Cross Multiply
[tex]2x - 5 = 0[/tex]
Solve for x
[tex]2x =5[/tex]
[tex]x = \frac{5}{2}[/tex]
Substitute [tex]x = \frac{5}{2}[/tex] in [tex]y = \sqrt x[/tex]
[tex]y = \sqrt{\frac{5}{2}}[/tex]
Split
[tex]y = \frac{\sqrt 5}{\sqrt 2}[/tex]
Rationalize
[tex]y = \frac{\sqrt 5}{\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]y = \frac{\sqrt {10}}{\sqrt 4}[/tex]
[tex]y = \frac{\sqrt {10}}{2}[/tex]
Hence:
[tex](x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})[/tex]
A local city collects 8% sales tax. If the total purchase was $216.09,then how much was collected for sales tax?
Answer:
$17.29
Step-by-step explanation:
8% = 0.08
216.09(0.08) = 17.29
pls try itt brainliiestttt
Answer:
$25,377.11 or
$25,759.92
Step-by-step explanation:
hope that helps
Write a word equation for 24 = 3x
Name and locate points in all four quadrants of the coordinate plane.
help due really soon
Answer:
B.) y - 6 = -8/5(x + 2)
Step-by-step explanation:
Remember in order to find the slope intercept form on 2 points, you need these equations: [tex]\frac{x_2 -x_1}{y_2 -y_1}[/tex] and [tex]y-y_1=m(x-x_1)[/tex]
To find the slope, you will need to use the first equation. In this case the equation will look like this: [tex]\frac{(-2)-6}{3-(-2)}=-\frac{8}{5}[/tex]
Then use the second equation, plug in the numbers, and you will get B as your answer
Trudy bought 1 foot of fabric. If she cuts the fabric into 3-inch pieces, how many pieces will she have?
Answer:
Trudy will have 4 pieces of the fabric.
Step-by-step explanation:
Since, 1 foot of the fabric = 12 inches
If Trudy cuts the fabric into pieces of 3 inch.
Number of pieces she will have = [tex]\frac{\text{Total length of the fabric}}{\text{Length of one piece}}[/tex]
= [tex]\frac{12}{3}[/tex]
= 4 pieces
Therefore, she will have 4 pieces of the fabric.
2. Solve by using the quadratic formula 3x2 - 6x - 4 = 0 round to the nearest hundredth.
Answer:
[tex]let \: \alpha \: and \: \beta \: be \: two \: roots \: of \: above \: [/tex]
[tex]equation \: .[/tex]
[tex] \alpha = 2.52 \: and \: \beta = -0.52[/tex]
Write 9 19/20
as a decimal.
Answer:
9.95
Step-by-step explanation:
Answer:
9 19/20 = 9.95
Step-by-step explanation:
What are the zeros of the quadratic function shown in the graph?
a) –2 and –10
b) –2 and 10
c) 6
d) 2 and 10
Answer:
D
Step-by-step explanation:
Look at where the graph intercepts on the x-axis
If u can't see it's 2 and 10
Answer:
the answer is D
Step-by-step explanation:The answer is 2 and 10 because its directly on the line.
Hope I helped
I have a test I don’t know what to do. Can someone please help me?
If p(x)=2x,which of the following is the graph of h(x)=p(x)-6
Answer:
the graph is the one with h(x)=2x-6
Step-by-step explanation:
it will hit the y-axis at (0,-6) and it will hit the x-axis at (3,0)
The graph of h(x)=p(x)-6 is shown below.
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
We are given that;
p(x)=2x
Now,
To find the graph of h(x) = p(x) - 6, we need to use the concept of transformations of functions. A transformation is a change in the position, shape, or size of a function’s graph.
To graph h(x), we can start by graphing p(x) = 2x and then shifting it down by 6 units. The graph of p(x) is a straight line that passes through the origin and has a slope of 2. To shift it down by 6 units, we can subtract 6 from the y-coordinate of every point on the line. For example, the point (1, 2) on p(x) becomes (1, -4) on h(x).
The graph of h(x) is also a straight line that has the same slope as p(x), but has a y-intercept of -6. The equation of h(x) is y = 2x - 6.
Therefore, the graph of the function will be shown below.
Learn more about points lying on graph of a function here:
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Jane made a door frame for the house but does not have a tool to measure the angles. How can she check that the corner is 90 degrees?
Answer:
She can use any square object around her. Since squares are made up of right angles, any side she chooses can be used to compare the angle of the door. If the square corner fits perfectly, the angle is 90. If the square fits with space, obtuse. If the square doesn’t fit, acute
Step-by-step explanation:
a rectangle is 16 feet long and 8 feet wide find its area
The area of the rectangle is 128 square feet.
To find the area of a rectangle, you multiply the length by the width. In this case, the rectangle is 16 feet long and 8 feet wide.
Area = Length * Width
Substituting the given values:
Area = 16 feet * 8 feet
To perform the calculation, multiply the numbers:
Area = 128 square feet
Therefore, the area of the rectangle is 128 square feet.
The area of a rectangle represents the total amount of space enclosed within its boundaries. In this case, the rectangle measures 16 feet in length and 8 feet in width, so the area is calculated as 16 feet multiplied by 8 feet, resulting in 128 square feet.
The concept of area is fundamental in geometry and is used to measure the size of two-dimensional shapes. In the case of a rectangle, the area represents the product of its length and width, as every point within the rectangle contributes to its overall size.
Knowing the area of a rectangle can be useful in various situations. For example, if you want to determine how much flooring material is required to cover a rectangular room, you would need to know the area of the floor.
For more such questions on area visit:
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HELPP PLEASEEE
John's toy car is built on a scale of one
inch represents 12 inches on the actual
car. If john's toy car is 5 inches long,
how long is the actual car?
Please help I will give brainiest !!!!!?!!!!!!
The exact circumference of a circle is 30. What is the diameter?
60
15
30
45
Answer:
9.549296
Step-by-step explanation:
30/pi = 9.549296 for diameter
A rhombus has an angle measure of 120, and it’s longer diagonal has a length of 10 inches. What is the area?
Answer:
1200INCHES²
Step-by-step explanation:
the formula for the area of rectangle and rhombus is same so l*b will work....120*10=1200
HELP YALL HELP PLEASE
Answer:
66 ur welcome
4. If y = 5x – 3 and 3x - y = -1, what is the value of y?
A 2
B -1
C 7
D -8
answers:
4.C po
Step-by-step explanation:
i hope its help