Answer:
y=mx+b; y=-3x+-4
Step-by-step explanation:
Substitute the slope, and the y-intercept in place of m and b
Answer: [tex] (y+4)=-3(x+1)[/tex]
Step-by-step explanation:
We know that the equation a line in point-slope form having slope m and passing through point (a,b) is given by :-
[tex](y-b)=m(x-a)[/tex]
Then , the equation a line in point-slope form having slope '-3' and passing through point (-1,-4) is given by :-
[tex](y-(-4))=-3(x-(-1))\\\\\Righarrow\ (y+4)=-3(x+1)[/tex]
Consider that x = 5 and y = 7. Which statement is true about x + y? A) The sum of x and y is a rational number. B) The sum of x and y is an imaginary number. C) The sum of x and y is an irrational number. D) The sum of x and y is neither rational nor irrational.
Answer:
The sum of x and y is a rational number
Step-by-step explanation:
X+Y or 5+7=12
A rational number is any number that can be divided without going on and on forever.
Answer:
The correct answer is A) The sum of the two is a rational number.
Step-by-step explanation:
Since both 5 and 7 are rational numbers, we know that their sum is also a rational number. This is true for any value of rational numbers.
8v+1=7v-20 I need help!
Are these rates equivalent, 96 words typed for 3 minutes; 160 words typed for 5 minutes
Answer:
Yes, they are.
Step-by-step explanation:
1st rate)Lets simplify both rates to the rate typer per minute.
(m is minutes)
3m = 96
Divide both sides by 3:
[tex]\frac{3m}{3} = \frac{96}{3}[/tex]
m = 32
So the rate is 32 words per minute.
2nd rate5m = 160
Divide both sides by 5:
[tex]\frac{5m}{5} = \frac{160}{5}[/tex]
m = 32
So because the rates per minute are the same, they are equivalent.Match the pairs of equations that represent concentric circles
Answer:
The 3rd equation on the left column and second one on the right column.
Step-by-step explanation:
These 2 equations have same coefficients of x and y if we divide the first one by 4 and the second by 2.
This gives the 2 equations
x^2 + y^2 - 4x + 6y - 7 = 0
x^2 + y^2 - 4x + 6y - 20 = 0
If we compete the square on these we get
(x - 2)^2 + (y + 3)^2 = 20
(x - 2(^2 + (y + 3)^2 = 33
These are in standard form . The center is the same (2, -3) but the radii are different so they are concentric.
In mathematics, concentric circles have the same center but different radii. Their general equation is (x-h)²+ (y-k)² = r², sharing the same (h, k) coordinates. Examples include equations like (x - 2)² + (y - 3)² = 4 and (x - 2)² + (y - 3)² = 9.
In mathematics, concentric circles are circles that share the same center but have different radii. The general equation of a circle is given by (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius. Two such equations will represent concentric circles if and only if their center coordinates (h, k) are the same.
For example, consider the equations:
(x - 2)² + (y - 3)² = 4
(x - 2)² + (y - 3)² = 9
Both these circles have the center at (2, 3) but different radii (2 and 3 respectively), making them concentric circles.
What is the percent of change from 500,000 to 10,000?
To find the percent of change from 500,000 to 10,000, subtract 10,000 from 500,000 to get 490,000, then divide that difference by the original number and multiply by 100 to get the percentage.
Explanation:To find the percent of change from 500,000 to 10,000, we need to calculate the difference between the two numbers and then find the percentage of that difference relative to the original number.
Step 1: Find the difference: 500,000 - 10,000 = 490,000.
Step 2: Find the percent: (490,000/500,000) × 100 = 98%.
The percent of change from 500,000 to 10,000 is 98%.
Jim sold half of her comic books and then bought sixteen more she now has 36 with how many did she begin
Answer:
40 books
Step-by-step explanation:
36-16=20
20 is half her original collection
20*2=40
Answer: He began with 40 Comic Books.
Step-by-step explanation: First exclude the 16 he bought from the 36. This leaves 20. Then dubble it because he sold half so it brings it up to 40! Hope this helps! ;)
36 - 16 = 20
20 * 2 = 40
The answer is 40!
HELP ME PLEASE!!!! THE QUESTIONS ARE EASY!!!
1. 2P + 14 = 0
2. - 2/3 w + 5 = 4
3. 5d - 1 = - 11
4. 11x - 24 = - 2
5. 3g - 49 = - 7
Question 1. 2P + 14 = 0
Step 1. You need to subtract 14 from both sides.
2p+14−14=0−14
2p=−14
Step 2. Then divide both sides by 2.
2p /2 = −14 /2
Answer: p=−7
Question 2. - 2/3 w + 5 = 4
Step 1. Subtract 5 from both sides.
−2 /3 w+5−5=4−5
Step 2. Then multiply both sides by 3/(-2).
( 3 /−2 )*( −2 /3 w)=( 3 /−2 )*(−1)
Answer: w= 3 /2
Question 3. 5d - 1 = - 11
Step 1. First add 1 to both sides.
5d−1+1=−11+1
5d=−10
Step 2. Divide both sides by 5.
5d /5 = −10 /5
Answer: d=−2
Hope this helps! :)
how would you show circle C with a center of (-2,-1) and a radius of 5 is similar to circle D with a center of (4,-3) and a radius of 10??
Answer:
We can translate Circle C (x+6, y-2) to have the same center as D. The ratio of radius to radius is 10/5=2. Scale factor 2 from C to D.
Step-by-step explanation:
Similar objects are objects which are the same shape but not the same size. This means they have the same angle measures and a scale factor between the side lengths. To show similarity, we can use transformations and proportions. We can translate to shift the object, dilation to increase or decrease size and so forth. We use proportions to find scsale factor or missing length.
We have a circle. Circles do not have a specific angles and all circles have 360 degrees. They do not have sides but do have radius. All circles are similar because all are the same shape - a fixed center with points equidistant from the center (the radius). To show similar we can translate the circle so the centers are the same and create a ratio between the radius.
We can translate Circle C (x+6, y-2) to have the same center as D. The ratio of radius to radius is 10/5=2. Scale factor 2 from C to D.
10 /2960What's 10 divided by 2960
[tex]10 \sqrt{2.960}[/tex]
Please find X in the figure below.
Answer:
x=34
Step-by-step explanation:
Please, see the attached file.
Thanks.
Answer:
Hence final answer is x=34
Step-by-step explanation:
∠ADC= ∠EDF {Vertically opposite angles are always equal}
∠ADC= 36° {Given }
∠ADB= 36°...(i) {Same angles}
∠ABI + ∠ABC = 180° {supplementry angles }
113° + ∠ABC = 180° {Given }
∠ABC = 180° - 113°
∠ABC = 67°
∠ABD = 67° ...(ii) {same angle}
We know that sum of all three angles of triangle is 180 degree so we can write:
∠ABD + ∠ADB + ∠BAD = 180°
67° + 36° + ∠BAD = 180° {using (i) and (ii) }
67° + 36° + x°+43° = 180° {from diagram }
146° + x° = 180°
x° = 180° - 146°
x° = 34°
Hence final answer is x=34
use the substitution method to solve the system of equations choose the correct ordered pair. 2x-y=8 y=x-3 a.5,2 b.4,1 c.3,0 d.6,3
[tex]\left\{\begin{array}{ccc}2x-y=8&(**)\\y=x-3&(*)\end{array}\right\\\\\text{Substitute }\ (*)\ \text{to}\ (**):\\\\2x-(x-3)=8\\2x-x-(-3)=8\\x+3=8\qquad\text{subtract 3 from both sides}\\\boxed{x=5}\\\\\text{Put the value of x to}\ (*):\\\\y=5-3\\\boxed{y=2}\\\\Answer:\ \boxed{a.\ (5,\ 2)}[/tex]
Answer:
Solution for the given system of equations is (5,2)
Step-by-step explanation:
We have been given the system of equations
[tex]2x-y=8....(1)\\y=x-3...(2)[/tex]
On substituting the value of y from equation (2) in equation (1)
[tex]2x-(x-3)=8[/tex]
Now, we solve the equation for x
[tex]2x-x+3=8\\x+3=8\\x=5[/tex]
Substituting the value of x in equation (2)
[tex]y=5-3\\y=2[/tex]
Therefore, the solution for the given system of equations is (5,2)
a is the correct option.
Help please I need it now!!!
Answer:
The equation you should solve to find b is:
Option D. sin 35° / 9 = sin 40° / b
Step-by-step explanation:
m<A=35°
m<B=40°
a=9
b=?
We can use the Law of sines:
sin A / a = sin B / b
Replacing the given values:
sin 35° / 9 = sin 40° / b
This is option D.
The formula for the area of a trapezoid is A = 1 2 h ( b 1 + b 2 ) , A= 2 1 h(b 1 +b 2 ), where h h is the height and b 1 b 1 and b 2 b 2 are the two bases. Rewrite the formula to solve for h h in terms of A , A, b 1 b 1 and b 2 . b 2 .
Answer:
h = 2A / (b1 + b2)
Step-by-step explanation:
A = 1/2h (b1 + b2)
Divide both sides by 1/2 (b1 + b2)
h = A / 1/2 (b1 + b2)
h = 2A / (b1 + b2)
Answer:
2A / (b1+b2) = h
Step-by-step explanation:
The formula for the area of a trapezoid is
A = 1/2 (b1+b2) *h
We want to solve for h
Multiply each side by 2
2A = 2*1/2 (b1+b2) *h
2A = (b1+b2) *h
Divide each side by (b1+b2)
2A / (b1+b2) = (b1+b2) / (b1+b2) *h
2A / (b1+b2) = h
Given f(x) = 3x + 2 and g(x) = 2x² , find the following composite functions:
a.) (g·f)(3) b.) (f·g)(x)
Will give branlist to the user who gets it right.
Answer: 0
Step-by-step explanation:
2^3+16/4-3*4
2*2*2=8
8+16/4-3*4
16/4=4
8+4-3*4
12-3*4
3*4=12
12-12=0
3 different way to right thirty two thousand,sixty and four thousandths
Which equation represents a proportional relationship? A) y = 3x 8 B) y = 3 8x C) y = 3x 8 + 1 D) y = 3 8x + 1
The equation representing a proportional relationship, which is defined by a constant ratio and passes through the origin, is option A) y = 3x.
The question which equation represents a proportional relationship refers to a type of linear equation in which the ratio of one variable to another is constant. The form of a proportional relationship is y = kx, where k is the constant of proportionality. Looking at the options provided:
A) y = 3x - This equation is proportional because it is in the form of y = kx, where k is 3.B) y = 3/8x - This is also proportional, but option A is in a more standard form.C) y = 3x + 8 - This equation is not proportional because it includes a y-intercept, which means it does not pass through the origin (0,0).D) y = 3/8x + 1 - Like option C, this contains a y-intercept and is not proportional.Therefore, the equation representing a proportional relationship is option A) y = 3x.
Eight balls numbered from 1 to 8 are placed into a bag.
Some are grey and some are white, as shown on the right.
Answer:
It is given that,
there are 8 balls in the bag numbered 1 to 8
5 balls are color is gray and all others are white
The gray color balls are 2,3,4,5 and 7
The white color balls are 1,6 and 8
P(X) = probability of getting white ball
P(not X) = Probability of getting gray ball
a) To find Probabilities P(X) and P(not X)
For event X, 1,,6,8 are checked and P(X) = 3/8
for event 'not X' 2,3,4,5 and 7 are checked and P(not X ) = 5/8
b) To find 1 - P(X)
1 - P(X) = 1 - 3/8 = (8 - 5)/8 = 5/8
c)1 - P(X) is same as P(not X)
nine more than twice a twice a number is less than negative nineteen. find all numbers that make this statement true
The numbers that make the statement true are:
( -14, -∞ ) or [-15, -∞).
i.e -15, -16, -17, - 18, -19, ,,,,,,,,,-∞
Given,
Nine more than twice a number is less than negative nineteen.
We need to find all numbers that make this statement true.
What do the mathematical terms mean?More than - addition.
Twice - multiplication of 2.
Less than - <
How do we arrange integer numbers in ascending order?-∞.......-5 < -4 < -3 < -2 < -1 < 0 < 1 < 2 < < 3 ...........∞
Find the expression.
Let the number be M.
"Nine more than twice a number is less than negative nineteen".
We can write this statement as:
2M + 9 < -19
Find the number M.
2M + 9 < -19
2M < -19 - 9
2M < -28
M < -28/2
M < -14
Let us check the statement is true with M < -14.
2M + 9 < -19
2 x -15 + 9 = -19
-30 + 9 = -19
-21 < -19
This is true.
We see that all numbers below -14 will make the statement true.
So,
The numbers are -15, -16, -17, -18,..........-∞
Thus the numbers that make the statement true are ( -14, -∞ ) or [-15, -∞).
i.e -15, -16, -17, - 18, -19, ,,,,,,,,,-∞
Learn more about finding numbers that satisfy an inequality here:
https://brainly.com/question/17646627
#SPJ2
To solve the inequality, we need to translate the given statement into an algebraic expression and then solve for 'x' using subtraction and division.
Explanation:To solve the inequality, we will translate the given statement into an algebraic expression. Let's say the number is represented by 'x'. 'Twice a number' can be written as 2x. 'Nine more than twice a number' can be written as 2x + 9.
So, the inequality becomes 2x + 9 < -19.
To solve for 'x', we subtract 9 from both sides of the inequality, giving us 2x < -28. Then, we divide both sides by 2, resulting in x < -14.
Therefore, any number less than -14 will make the statement true.
what is the opppsite of 1 1/3
Answer:
find below
Step-by-step explanation:
it would either be -1 1/3 or -3/4 since that is the reciprocal of -1 1/3
What is the area of the triangular part of the flag below
Answer:
= 420 in^2
Step-by-step explanation:
The area of a triangle is one half the base times the height
A = 1/2 bh
In this figure the base is equal to 24 inches and the height is 35 inches
Substituting what we know.
A =1/2 (24) * 35
A= 12*35
= 420 in^2
Answer: The answer is 420
Step-by-step explanation:
24 x 35 equals 840. Then you divide by 20 and you get 420. I also took the test on iready.
Have a great day!
Write an equation of the line that is perpendicular to the line y = 2x + 8, and which passes through the point (6,-2).
A) y = 2x + 4
B) y = -2x + 1
C) y = -1/2x + 1
D) y = -1/2x + 1
A triangle is drawn and then translated as shown in the diagram. Which statement is true?
A) The two triangles are congruent because all rectangles are congruent.
B) The two triangles are not congruent because a translation changes side length.
C) The two triangles are not congruent because a translation changes angle measures.
D) The two triangles are congruent because a translation does not change size and shape.
Answer:
D. The two triangles are congruent because a translation does not change size and shape.
Step-by-step explanation:
I'm pretty sure that D is the answer. It jut basically moved , didn't change anything.
Answer:
1. The equation of line is [tex]y=-\frac{1}{2}(x)+1[/tex].
2. The correct option is D.
Step-by-step explanation:
1.
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
The given equation of a line is
[tex]y=2x+8[/tex]
The slope of line is 2 and y-intercept is 8.
The product of slopes of two perpendicular lines is -1.
[tex]m_1\times m_2=-1[/tex]
[tex]2\times m_2=-1[/tex]
[tex]m_2=-\frac{1}{2}[/tex]
The slope of required line is [tex]-\frac{1}{2}[/tex] and it passes through the point (6,-2).
The equation of required line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y+2=-\frac{1}{2}(x-6)[/tex]
[tex]y+2=-\frac{1}{2}(x)+3[/tex]
[tex]y=-\frac{1}{2}(x)+3-2[/tex]
[tex]y=-\frac{1}{2}(x)+1[/tex]
Therefore the equation of line is [tex]y=-\frac{1}{2}(x)+1[/tex].
2.
Translation is a rigid transformation. It means if a figure translated then the image and preimage are congruent
It the given figure two triangles are congruent because a translation does not change size and shape.
Therefore the correct option is D.
In this picture B and F are midpoints x=
Answer:
44 You will get the 2x and 88 and divide 88 by 2x
Step-by-step explanation:
Answer: The required value of x is 22.
Step-by-step explanation: Given that B and F are the midpoints of the sides AC and AE of triangle ACE.
Also, BF = 2x and CE = 88.
We are to find the value of x.
Midpoint theorem : If a line segment joins the midpoints of any two sides of a triangle, then it is parallel to the third side and its length is equal to half of the length of the third side.
From triangle ACE, we have
B and F are the midpoints of the sides Ac and AE respectively, so BF will be parallel to CE and its length will ne half of the length of side CE.
Therefore,
[tex]BF=\dfrac{1}{2}\times CE\\\\\Rightarrow 2x=\dfrac{1}{2}\times88\\\\\Rightarrow 2x=44\\\\\Rightarrow x=\dfrac{44}{2}\\\\\Rightarrow x=22.[/tex]
Thus, the required value of x is 22.
Find the probability of Drawing a blue marble from a bag of 18 marbles, three of which is blue
Answer:
The probability is 3/18 which you can simplify down to 1/6. :) Hope this helps! And if you don't mind please mark as brainliest :)
Step-by-step explanation:
Answer:
3 out of 18 or 3/18
please help me turn this improper fraction into a mixed number, it's super easy
Answer:
3 3/5
Step-by-step explanation:
3 fives go into 18 with a remainder of 3.
Answer:
3 3/5
Step-by-step explanation:
Please help solve for b.
b + a = 14
b = 14 - a
14 - a + a = 14
14 = 14
Since we can't gain any further information after solving for b the first time, we know b = 14 - a to be the simplest form of b.
Which graph represents the function f(x) =0.75^x
The top-left graph is the correct representation of the function[tex]\( f(x) = 0.75^x \)[/tex]. It shows a decreasing function as [tex]\( x \)[/tex] increases, and the y-intercept is at (0, 1).
The correct option is (A).
To determine which graph represents the function [tex]\( f(x) = 0.75^x \)[/tex], we should consider the key characteristics of an exponential function where the base is between 0 and 1:
1. As [tex]\( x \)[/tex] increases, [tex]\( f(x) \)[/tex] should decrease because 0.75 raised to a higher power becomes smaller.
2. As [tex]\( x \)[/tex] decreases (becomes more negative), [tex]\( f(x) \)[/tex] should increase because 0.75 raised to a negative power becomes larger.
3. The graph will never touch the x-axis, as an exponential function does not cross the axis when the base is positive.
4. The y-intercept should be at [tex]\( f(0) = 0.75^0 = 1 \)[/tex] because any non-zero number to the power of 0 is 1.
Now let's evaluate the provided graphs with respect to these characteristics:
- Top-left graph:This graph shows a decreasing function as [tex]\( x \)[/tex] increases, and the y-intercept is at (0, 1), which matches the behavior of [tex]\( f(x) = 0.75^x \)[/tex].
- Top-right graph:This graph increases as [tex]\( x \)[/tex] increases, which is not correct for [tex]\( f(x) = 0.75^x \)[/tex].
- Bottom-left graph:This graph also increases as [tex]\( x \)[/tex] increases, which does not match the expected behavior.
- Bottom-right graph:This graph shows a decreasing function as [tex]\( x \)[/tex]increases, but the y-intercept is not at (0, 1), so it does not represent [tex]\( f(x) = 0.75^x \)[/tex].
Based on this analysis, the top-left graph is the correct representation of the function[tex]\( f(x) = 0.75^x \)[/tex]. It shows a decreasing function as [tex]\( x \)[/tex] increases, and the y-intercept is at (0, 1).
complete question given below:
Which graph represents the function f(x) =0.75^x
write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation (5,0) ; y+1=2(x-3)
Answer:
y=2x-11
Step-by-step explanation:
Answer:
The student should have simplified the equation to have y + 8 on the left. Then, the student should have subtracted 8 from both sides of the equation. The value of b should be 4, not 20.
Step-by-step explanation:
edge 2021.
How do I find the measure of problem #13
Answer:
Set the two equations equal to each other if you want me to solve tell me.
So.... 15x+10=16x+3
-15 -15
10=1x+3
-3
7=x
Answer:
Step-by-step explanation:
Set them equal bc they are vertical angles
15x+10=6x+3
-6x. -6x
9x=
I don't know the rest
The standard deviation for a set of data is 7.5. The mean is 235. What is the margin of error?
The margin of error is 0.97849
we are given
mean=235
so,
[tex]n=235[/tex]
standard deviation =7.5
so,
[tex]\sigma=7.5[/tex]
we know that
ME=2*standard error
and
[tex]SE=\frac{\sigma }{\sqrt{n} }[/tex]
If confidence level is 95%, then we can multiply by 1.96
so, we can multiply by 2 to get ME
now, we can use marginal error formula
[tex]ME=\frac{2\sigma }{\sqrt{n} }[/tex]
now, we can plug values
and we get
[tex]ME=\frac{2\times 7.5 }{\sqrt{235} }[/tex]
[tex]ME=0.97849[/tex]
Answer: 15
Step-by-step explanation: