Step-by-step explanation:
I understand this that we need to find a point B for each of a) to f).
remember, the slope is the (y coordinate difference / x coordinate difference) when going from one point on the line to the other.
a)
the slope 2/3 means that when going to B x has to increase by 3, and y has to increase by 2.
so, B = (-2 + 3, 5 + 2) = (1, 7)
b)
-2/3 means that either x or y have to decrease and the other to increase.
e.g. x increases by 3, y decreases by 2.
so, B = (-2 + 3, 5 - 2) = (1, 3)
c)
4 stands for 4/1.
so, x increases by 1, y increases by 4.
B = (-2 + 1, 5 + 4) = (-1, 9)
d)
similar to c) -3 stands for -3/1.
and similar to b) either x or y has to decrease and the other to increase.
e.g. x increases by 1, y decreases by 3.
B = (-2 + 1, 5 - 3) = (-1, 2)
e)
that means the y difference is 0. B has the same y coordinate.
e.g. B = (3, 5)
x can be any value.
the line is a horizontal line going through y = 5 or (0, 5) on the y-axis.
f)
that means the x difference is 0. B has the same x coordinate.
e.g. B = (-2, 9)
y can be any value.
the line is a vertical line going through x = -2 or (-2, 0) on the x-axis.
Find the midpoint of the line segment joining (–4, –2) and (2, 8).
PLEASE HELP BRAIBLIST ANSWER PLS
Answer:
[tex]m=-3[/tex]
Step-by-step explanation:
Given points:
[tex](5,3),(8,-6)[/tex]
1. Find the slope
The slope of a line between two points equals the change in the points' y-coordinates (rise) over the change in their x-coordinates (run).
The coordinates of point 1 are: [tex]x_1=5,y_1=3[/tex]
The coordinates of point 2 are: [tex]x_2=8,y_2=-6[/tex]
To find the slope, plug the points' x and y-coordinates into the formula and combine to simplify:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-6-3}{8-5}[/tex]
[tex]m=\frac{-9}{3}[/tex]
[tex]m=-3[/tex]
what value ofx is in the solution set of 3(x-4)>5x +2?
[tex]\boldsymbol{\sf{3(x-4) > 5x +2 }}[/tex]
Use the distributive property to multiply 3 by x−4.
[tex]\boldsymbol{\sf{3x-12 > 5x+2 }}[/tex]
Subtract 5x on both sides.
[tex]\boldsymbol{\sf{3x-12-5x > 2 } }[/tex]
Combine 3x and −5x to get −2x.
[tex]\boldsymbol{\sf{-2x-12 > 2 }}[/tex]
Add 12 to both sides.
[tex]\boldsymbol{\sf{-2x > 2+12 \ \longmapsto \ \ [Add \ 2 +12]}}[/tex]
[tex]\boldsymbol{\sf{-2x > 14}}[/tex]
Divide both sides by −2. Since −2 is < 0, the inequality direction is changed.
[tex]\boldsymbol{\sf{x < \dfrac{14}{-2} \ \ \longmapsto \ \ \ [Split]}}[/tex]
[tex]\boxed{\boldsymbol{\sf{x < -7 }}}[/tex]
So in the inequality 3(x-4)>5x +2, the value of x is -7.
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https://brainly.com/question/17070130Answer each question and tell your reasoning.
a. Is 60% of 400 equal to 87?
b. Is 60% of 200 equal to 87?
c. Is 60% of 120 equal to 87?
2. 60% of x
is equal to 87. Write an equation that expresses the relationship between 60%, x
, and 87. Solve your equation.
Equation:
x=
3. Write an equation to help you find the value of each variable. Solve the equation.
60% of c
is 43.2.
Equation:
c=
38% of e
is 190.
Equation:
e=
Answer:
Step-by-step explanation:
400*60% can be rewriten as 400×0.6 which is 240, so a is false.
the same steps can be repeated for b and c
b) 200*0.6=120, therefore is false
c) 120*0.6=72, therefore is false
2)
[tex]60 percent * x=87\\0.6x=87\\x=\frac{87}{0.6} \\\\x=145[/tex]
Now we check the answer by using the same steps in problems a,b,c
[tex]145*0.6=87\\87=87[/tex]
3)
[tex]0.6c=43.2\\c=\frac{43.2}{0.6} \\c=72[/tex]
and finally
[tex]0.38e=190\\e=\frac{190}{0.38} \\e=500[/tex]
Each gallon of porch and deck paint covers 200 square feet. how many gallons are needed to cover 1241 square feet?
7 gallons are needed to cover 1241 square feet.
In this question,
Each gallon of porch and deck paint covers 200 square feet.
To find out how many gallons of paint needs, we have to divide the total area of deck by the amount of deck that one gallon covers.
We use the unitary method to find out how many gallons of paint needs.
Using unitary method,
1241 / 200 = 6.205
However, we cannot buy a fraction of a gallon of paint.
So, the amount of gallons of paint needed is approximately equal to 7 gallons.
Therefore, 7 gallons are needed to cover 1241 square feet.
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Over a period of 3 hours, the outside temperature changed an average of -2.250 Fahrenheit per hour. Which statement correctly describes the change in temperature from the beginning the end of the 3-hour period?
A.
The temperature decreased by 6.75 degrees Fahrenheit.
B.
The temperature increased by 0.75 degrees Fahrenheit.
C.
The temperature increased by 6.75 degrees Fahrenheit.
D.
The temperature decreased by 0.75 degrees Fahrenheit.
Answer: A
Step-by-step explanation: The question states that the change wasn't a positive one, it was a negative one as it states that the temperature changed an average of -2.250 Fahrenheit per hour. So, we multiply that by 3 to get -6.75. This is why A is correct.
What is the unit rate of the proprrional relationship represented by the equation y=3x
The unit rate of the proportional relationship y = 3x is 3
How to determine the unit rate?The proportional relationship is given as:
y = 3x
Divide both sides by x
y/x = 3
For a proportional relationship y/x = k;
The unit rate is 3
This means that the unit rate of the proportional relationship y = 3x is 3
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What is the interquartile range of the set of data this box-and-whisker plot represents?
Answer:
3
Step-by-step explanation:
The interquartile range is where the 2nd and 5th dots are, on the opposite ends of the square, from 15-18.
Answer:
3
Step-by-step explanation:
The interquartile range (IQR) is the difference between the upper quartile (Q₃) and the lower quartile (Q₁).
In a box plot:
The left edge of the box represents the lower quartile.The right edge of the box represents the upper quartile.From inspection of the given box plot:
lower quartile (Q₁) = 15upper quartile (Q₃) = 18Therefore:
IQR = Q₃ - Q₁
= 18 - 15
= 3
So the interquartile range of the given box plot is 3.
Twenty-four $4$-inch wide square posts are evenly spaced with $5$ feet between adjacent posts to enclose a square field, as shown. What is the outer perimeter, in feet, of the fence? Express your answer as a mixed number.
Answer:
129 1/3 is the answer
the price of a video game was reduced from 60 to 45. by what percentage was the price of the video game reduced
The percentage reduction of the price of the video game from 60 to 45 was 25%.
What is the percentage reduction?The percentage reduction refers to the fractional reduction in the price of the video game.
This implies that a percentage is a fraction of a value. Percentages are calculated over 100.
A percentage is, therefore, a number or ratio expressed as a fraction of 100, often denoted using the "%" sign.
Data and Calculations:The old price of the video game = 60
The new price of the video game = 45
Reduction in price = 15 (60 - 45)
Percentage reduction = 25% (15/60 x 100)
Thus, the percentage reduction of the price of the video game from 60 to 45 was 25%.
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Identify the area of the figure rounded to the nearest tenth.
Answer:
91.5[tex]cm^{2}[/tex]
Step-by-step explanation:
The area of the rectangle:
a = lw
a =(21)(3) = 63
The area of the square:
a = lw
a = (5)(5) = 25
The area of a half circle:
a=[tex]\frac{\pi r^{2} }{2}[/tex]
a= [tex]\frac{3.14(1.5^{2}) }{2}[/tex]
a = [tex]\frac{3.14(2.25)}{2}[/tex]
a = [tex]\frac{7.065}{2}[/tex]
a = 3.5 rounded to the nearest tenth
63 + 25 + 3.5 =91.5
Need help with my math please. 31-41. Read the directions carefully please.
Answer:
31. (98,765 x 9) + 3 = 888,888
32. (12,345 x 9) + 6 + 111,111
33. 3367 x 15 + 50,505
34. 15,873 x 28 = 555,555
35. 33,334 x 33,334 = 1,111,155,556
36. 11,111 x 11,111 = 123,454,321
41. 3 + 9 + 27 + 81 + 243 = 3(243 -1) / 2
42. 1/1x2 + 1/2x3 + 1/3x4 + 1/4x5 + 1/5x6 = 5/6
Conjecture -> solve these problems and see if they are equal on both ends
EX: 3 + 9 + 27 + 81 + 243 -> 363
3 x 242 = 726 -> 726/2 = 363
Verified
Graph the image of the given polygon under a dilation with a scale factor of 1/3 and center of dilation (0, 0) .
The image of the given polygon under a dilation with a scale factor of 1/3 about the center of dilation (0, 0) is A'(0, 0), B'(1, 2) and C'(-1, 1)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Rigid transformation is a transformation that preserves the shape and size of a figure such as translation, reflection and rotation.
Let us assume that the polygon has vertex at A(0, 0), B(3, 6) and C(-3, 3)
The image of the given polygon under a dilation with a scale factor of 1/3 about the center of dilation (0, 0) is A'(0, 0), B'(1, 2) and C'(-1, 1)
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What is the solution to the system of equations?
[tex](\frac{3}{2},\frac{5}{2})[/tex]
Step-by-step explanation:The first equation can be rearranged by subtracting y from both sides. This gives you x = 4 - y.
The second equation is x = y - 1
Therefore, as both equations are equal to x, you can say that they are equal to each other, so 4 - y = y - 1.
If you add 1 to each side, you get 5 - y = y
If you add y to each side, you get 5 = 2y
Divide both sides by 2 to get y = 5/2
Now you can substitute 5/2 for y. For example, the second equation becomes x = 5/2 - 1
x is therefore 3/2
This can be written as [tex](\frac{3}{2},\frac{5}{2})[/tex], which is the final answer.
help please. which one is right?
Answer: B
Step-by-step explanation: If it goes through a point, flip that point around and that is the point of the inverse. Do that for multiple points to get your answer, which is B
Trigonometry Question
I need help with this question
Answer:
2.72 / 16 x 28 = $4.76
Step-by-step explanation:
Since they give you $2.72 for 16 ounces you put in:
2.72 / 16 x 28 = $___
Then you just solve it to get $4.76:
2.72 / 16 = 0.17
0.17 x 28 = 4.76
HElp meee mwa mwa mwa
Answer:
[tex]a = 1, \ - 3[/tex]
Explanation:
[tex](a-6)(a+8) = -45[/tex]
distribute
[tex]a^2 + 8a - 6a - 48 = -45[/tex]
collect terms
[tex]a^2 + 8a - 6a - 48 + 45=0[/tex]
simplify
[tex]a^2 + 2a - 3=0[/tex]
factor
[tex](a - 1)(a + 3)= 0[/tex]
set to zero
[tex]a = 1, \ - 3[/tex]
Answer:
a = 1, -3
Step-by-step explanation:
Given equation:
[tex](a-6)(a+8)=-45[/tex]
Expand the brackets:
[tex]\implies a^2+8a-6a-48=-45[/tex]
[tex]\implies a^2+2a-48=-45[/tex]
Add 45 to both sides:
[tex]\implies a^2+2a-48+45=-45+45[/tex]
[tex]\implies a^2+2a-3=0[/tex]
To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].
Two numbers that multiply to -3 and sum to 2 are: 3 and -1.
Rewrite the middle term as the sum of these two numbers:
[tex]\implies a^2+3a-a-3=0[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies a(a+3)-1(a+3)=0[/tex]
Factor out the common term (a + 3):
[tex]\implies (a-1)(a+3)=0[/tex]
Apply the zero product property:
[tex]\implies (a-1)=0 \implies a=1[/tex]
[tex]\implies (a+3)=0 \implies a=-3[/tex]
Verify the solutions by inputting the found values of a into the original equation:
[tex]a=1 \implies (1-6)(1+8) & =-5 \cdot 9 = -45[/tex]
[tex]a=-3 \implies (-3-6)(-3+8) & =-9 \cdot 5 = -45[/tex]
Hence both found values of a are solutions of the given equation.
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Simplify the expression. c–6 • 2c7
The answer is 2c.
Applying the Law of Exponents,
c⁻⁶ x 2c⁷2c⁷⁻⁶2cQuestion 8
725
A cable measures inch outside diameter and has a wrap of cotton that is 1000
1000
65
inch thick and covering of rubber insulation that is inch thick. What is the
diameter of the copper conductor (wire)?
Based on the thickness of the rubber insulation and outside diameter, the diameter of the copper conductor is 0.376 inch.
What is the copper wire's diameter?The diameter of the copper wire can be found by the formula:
= Outer diameter - ( 2 x cotton insulation) - (2 x rubber insulation)
Solving gives:
= 500/ 1,000 - (2 x 12/ 1,000) - (2 x 50 / 1,000)
= 0.5 - (2 x 0.12) - (2 x 0.05)
= 0.376 inch
= 376 / 1,000 inch
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Geometry: fill in the blanks, ASAP! It’s urgent
Answer:
3. 125
4. 115
5. m<1 = 70, m<2 = 55, m<3 = 55
6. m<2 = 50, m<3 = 50, m<4 = 80, m<6 = 130
What is the perimeter of kite OBDE?
12 units
22 units
38 units
58 units
By definition of perimeter, direct observation and Pythagorean theorem, the perimeter of kite OBDE is 38 units. (Correct choice: C)
How to determine the perimeter of a kite OBDE
In geometry, the perimeter is the sum of the lengths of the sides of a figure. Herein we must determine the perimeter of a quadrilateral, the kite OBDE, that is, the sum of the lengths of its four sides:, which can be found both by direct observation or by the use of the Pythagorean theorem.
Please notice that the quadrilateral has an axis of symmetry passing through the points O and D, which implies that OB = OE and BD = DE. The length of sides BD and DE is 6 units and the length of the sides OB and DE are:
OB = DE = 0.5 · √(24² + 10²)
OB = DE = 13
Lastly, the perimeter of kite OBDE is p = 2 · 6 + 2 · 13 = 38 units.
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Answer: C. 38 units
Step-by-step explanation: TRUST ME!!! Answer is correct on Edge!!! :)
Just did it and got it correct!
an alloy is made with 3 gram of silver 18 gram of copper 6 gram of aluminium and three Gram of zinc find what part of the total is used for each metal?
Answer:
see explanation
Step-by-step explanation:
total parts = 3 + 18 + 6 + 3 = 30
3 grams of silver = [tex]\frac{3}{30}[/tex] = [tex]\frac{1}{10}[/tex]
18 grams of copper = [tex]\frac{18}{30}[/tex] = [tex]\frac{3}{5}[/tex]
6 grams of aluminium = [tex]\frac{6}{30}[/tex] = [tex]\frac{1}{5}[/tex]
3 grams of zinc = [tex]\frac{3}{30}[/tex] = [tex]\frac{1}{10}[/tex]
This design is made from 1 blue circle, 4 orange circles and 16 green circles. The circles touch each othe Given that the radius of each green circle is I unit, find the exact radius of a the orange circles, b the blue circle.
The radius of the orange circle is 1.5 unit and the radius of the blue circle is 2.25 units
How to determine the radii of the circles?The figure that completes the question is added as an attachment
The orange circle
The radius of the green circle is given as:
r = 1
One and half green circle make up the radius of the orange circle.
So, the radius of the orange circle is
R = 1.5 * r
This gives
R = 1.5 * 1
R = 1.5
Hence, the radius of the orange circle is 1.5 unit
The blue circle
The radius of the orange circle is given as:
r = 1.5
One and half orange circle make up the radius of the blue circle.
So, the radius of the blue circle is
R = 1.5 * r
This gives
R = 1.5 * 1.5
R = 2.25
Hence, the radius of the blue circle is 2.25 units
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Consider the line 4x + 2y = 8.
What is the slope of a line perpendicular to this line?
m1 x m2 = - 1
Rearrange 4x + 2y = 8.
4x + 2y = 8
-4x, then ÷ 2
y = - 4x + 8 / 2
y = - 2x + 4
m1 = - 2, find reciprocal of - 2, by placing 1 over the 2
So, - 2 will become - 1/2, but multiplying this gives us a positive 1. Thus, m2 = 1/2
m1 x m2 = - 1
-2 x 1/2 = - 1
That means slope perpendicular to the line
4x + 2y = 8 is y = 1/2x, where a half is the gradient/slope.
Ans: 1/2
Hope this helps!
A regular octagon has side lengths of 8 centimeters. what is the approximate area of the octagon?
Answer:309
Step-by-step explanation:
cosa/2-tana +sina/1-cota=cosa+sina
Answer:
Cosa/2-tana+sina
Step-by-step explanation:
Cosatana
In a given right triangle, If 0 º < x < 90 º and cos x = √ 3 / 2, then sin x = ?
Answer:
1/2
Step-by-step explanation:
The "Pythagorean relation" between trig functions can be used to find the sine.
Pythagorean relationThe relation between sine and cosine is the identity ...
sin(x)² +cos(x)² = 1
This can be solved for sin(x) in terms of cos(x):
sin(x) = √(1 -cos(x)²)
ApplicationFor the present case, using the given cosine value, we find ...
sin(x) = √(1 -(√3/2)²) = √(1 -3/4) = √(1/4)
sin(x) = 1/2
__
Additional comment
The sine and cosine of an angle are the y and x coordinates (respectively) of the corresponding point on the unit circle. The right triangle with these legs will satisfy the Pythagorean theorem with ...
sin(x)² + cos(x)² = 1 . . . . . . where 1 is the hypotenuse (radius of unit circle)
A calculator can always be used to verify the result.
Find how many matches Peter won. plss answwer (ಥ _ ಥ)
Answer:
10 is the right answer...
Step-by-step explanation:
thanks
mark me as brainlist....
find the zeros of the following
please solve step by step
1. x³+x²-4x-4=0
2. 2x³-11x²+17x-6=0
Question 1
[tex]x^3 + x^2 - 4x-4=0\\\\x^2 (x+1)-4(x+1)=0\\\\(x^2 -4)(x+1)=0\\\\(x-2)(x+2)(x+1)=0\\\\x=-2, -1, 2[/tex]
Question 2
By inspection, we know that [tex]x=2[/tex] is a root.
[tex]\frac{2x^3 - 11x^2 + 17x-6}{x-2}=2x^2 - 7x+3[/tex].
So, we can factor the equation as
[tex](x-2)(2x^2 - 7x+3)=0\\\\(x-2)(x-3)(2x-1)=0\\\\x=\frac{1}{2}, 2, 3[/tex]
