E(-3, -4), F(1, -3), G(3, -6), and H(1, -6); a reflection across the x-axis
E(-3, -1), F(1, -2), G(3, 1), and H(1, 1); a translation 5 units down
E(3, 4), F(-1, 3), G(-3, 6), and H(-1, 6); a reflection across the y-axis
E(4, 4), F(8, 3), G(10, 6), and H(8, 6);a translation 7 units right
What is transformation?
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Hence:
E(-3, -4), F(1, -3), G(3, -6), and H(1, -6); a reflection across the x-axis
E(-3, -1), F(1, -2), G(3, 1), and H(1, 1); a translation 5 units down
E(3, 4), F(-1, 3), G(-3, 6), and H(-1, 6); a reflection across the y-axis
E(4, 4), F(8, 3), G(10, 6), and H(8, 6);a translation 7 units right
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I answered those other questions but need help with this one because I have trouble so can someone answer this for me?
[tex]\bf \begin{array}{ccll} \stackrel{x}{\textit{sprayed times}}&\stackrel{f(x)}{\textit{left termites}}\\ \cline{1-2} 1&12000\left( \frac{1}{4} \right)^1\\\\ 2&12000\left( \frac{1}{4} \right)^2\\\\ 3&12000\left( \frac{1}{4} \right)^3\\\\ x&12000\left( \frac{1}{4} \right)^x\\ \end{array}[/tex]
Answer:
the answer is C
Step-by-step explanation:
Split 90 into two parts so that one part is four times the other part.
Answer:
can you help me with my answer when your done on my page? vvvvv
Step-by-step explanation:
1. **Separating 90 into Two Parts:**
- The smaller part is [tex]\( 18 \)[/tex] and the larger part is [tex]\( 72 \)[/tex].
2. **Sum of Three Consecutive Integers:**
- The three integers (in order) are [tex]\( 17, 18, \)[/tex] and [tex]\( 19 \)[/tex].
1. **Separating 90 into Two Parts:**
- Let's denote the smaller part as [tex]\( x \)[/tex] and the larger part as [tex]\( 4x \)[/tex].
- According to the problem, the sum of these two parts equals 90: [tex]\( x + 4x = 90 \)[/tex].
- Combine like terms: [tex]\( 5x = 90 \)[/tex].
- Divide both sides by 5 to solve for [tex]\( x \): \( x = 18 \)[/tex].
- So, the smaller part is [tex]\( 18 \)[/tex] and the larger part is [tex]\( 4 \times 18 = 72 \)[/tex].
2. **Sum of Three Consecutive Integers:**
- Let's denote the smallest integer as [tex]\( x \)[/tex].
- The next two consecutive integers would be [tex]\( x + 1 \)[/tex] and [tex]\( x + 2 \)[/tex].
- According to the problem, the sum of these three integers equals 54: [tex]\( x + (x + 1) + (x + 2) = 54 \)[/tex].
- Combine like terms: [tex]\( 3x + 3 = 54 \)[/tex].
- Subtract 3 from both sides: [tex]\( 3x = 51 \)[/tex].
- Divide both sides by 3 to solve for [tex]\( x \): \( x = 17 \)[/tex].
- So, the three consecutive integers are [tex]\( 17, 18, \)[/tex] and [tex]\( 19 \)[/tex].
The complete question is here:
Separate 90 into two parts so that one part is four times the other part. What are the sizes of the two parts? The smaller part is _____ and the larger part is ____.
The sum of three consecutive integers is 54. Find the three integers. The three integers (in order) are ____, ____, and ____.
What is the length of segment AB?
Consider the diagram.
7,9,18,25
Answer:
9
Step-by-step explanation:
It is congruent to the other side.
Evaluate 5x - 1 when x = 8.
Answer:
39
Step-by-step explanation:
5x - 1 when x = 8
plug the variable in
5(8) - 1
40 -1
39
Answer:
39
Step-by-step explanation:
5(8) is 40, minus one is 39.
which of the following statements best describes midpoint of a line segment? 1. point at end of line segments 2. a point halfway between the endpoints of a line segments 3. it its any point on a line segments 4. it is the x-coordinate of any point on a line segment.
The answer is:
2. A point halfway between the endpoints of a line segment.
Why?The midpoint of a line segment, is a point that divides the line segment into two equal length sides, no matter the length of the segment, the midpoint will always cut the segment into two equal length sides
The midpoint is an ordinary point located in the middle of the line segment. The x-coordinate of the midpoint is halfway between the x-coordinates of the beginning and the end of the segment. The y-coordinate of the midpoint is halfway between the y-coordinates of the beginning and the end of the segment.
Hence, the correct option is:
2. A point halfway between the endpoints of a line segment.
Have a nice day!
Midpoint refers to point in the mid. The midpoint of a line segment is given as: Option 2: A point halfway between the endpoints of a line segment.
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.
What is a line segment?A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).
If you walk halfway between the endpoints of a line segment, you'll reach to its mid, and thus, the midpoint of a line segment can be reached by walking halfway between its end points.
Thus,
The midpoint of a line segment is given as: Option 2: A point halfway between the endpoints of a line segment.
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2 1/3 divided by 1/4
Answer:
20/3 or 6 2/3
Step-by-step explanation:
Please mark brainliest and have a great day!
Answer: 28/3
7/3 x 4
=28/4
= 9&1/3
What is the value of x? Will give brainliest!
Answer:
75 degrees
Step-by-step explanation:
This is because all the angles in a triangle are supplementary which means they add up to 180 degrees. This means that you subtract 180 from the other two angles
Please give Brainliest!!! Thanks! :D
Answer:
C. 75 degrees
Step-by-step explanation:
The angles in a triangle add up to 180 degrees.
You already know the degree of two angles: 70 & 35.
Now, subtract those numbers from 180 to find the degree of the missing angle.
180 - 70 - 35 = 75
So, the answer is C. 75 degrees.
I hope this helps!
how do you factor x squared minus 100
Rewrite 100 as 10 ^2 . x^ 2 − 10 ^2
Since both terms are perfect squares, factor using the difference of squares formula, a^2 -b^2= (a + b) (a - b) where a = x and b = 10.
(x + 10) (x - 10)
Determine the axis of symmetry for the function f(x)=-2(x+3)^2-5
Answer:
x=-3
Step-by-step explanation:
f(x)=-2(x+3)^2-5
The equation is in the form
f(x) = a(x-h)^2 -k
where (h,k) is the vertex
The h value is also the axis of symmetry
f(x)=-2(x--3)^2-5
The vertex is (-3,-5)
so the axis of symmetry is x=-3
What are the possible steps involved in solving the equation shown? Check all that apply.
3.5 + 1.2(6.3 – 7x) = 9.38
Add 3.5 and 1.2.
Distribute 1.2 to 6.3 and –7x .
Combine 6.3 and –7x .
Combine 3.5 and 7.56.
Subtract 11.06 from both sides.
Divide both sides by 9.38.
Answer:
B) Distribute 1.2 to 6.3 and –7x
D) Combine 3.5 and 7.56
E) Subtract 11.06 from both sides
Answer:
b, d, and e :)
A given line has the equation 10x + 2y = −2.
What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)?
y = (
)x + 12
Answer:
y = - 5 x + 6
Step-by-step explanation:
to be parallel it will have the same slope and you solve for b by making a new equation
y = - 5 x + b
and plugging in the x and y values from your coordinate point in for x and y
you then solve for b which will be 6 and you form the equation
Answer:
Y = -5x +12
Step-by-step explanation:
S, & nequalties:Question 2
Expand the following expression 5x(3 - 7y)
Select one:
0 152 - 3577
o 152-7
0 20xy
0
152 – 35
Answer:
15 x - 35 x y
Step-by-step explanation:
5 x (3-7 y)
5 * 3 x - 7 * 5 x y
= 15 x - 35 x y
An international equity mutual funds includes, american stock ,japanese stock,german. Stock , british stock in the ratio of 27:19:14:11 respectively. If its current holdings of german stocks are valued at us$238 millions what are the values of its holdings in the securities of other 3 countries
Give me BRAINLIEST please
let's say the total holdings for the company, or namely the total quantity for the ratios is say hmmm "x", and we were to split "x" in quantities of 27:19:14:11 ratio, what we do is, we simply divide "x" by (27+19+14+11), and then distribute accordingly.
so, if we divide the total amount like that, we end up with fragments of the total, and each ratio gets so many fragments.
so, we know the German stock or that ratio gets $238 millions, and in those 238, since it's on a 14 ratio, there are 14 of those fragments of the total, how much is a fragment anyway? well, simply how many times does 14 go into 238? 238 ÷ 14 = 17.
well, since we know the whole total of the holdings was split in fragments of 17, let's simply distribute accordingly.
[tex]\bf \stackrel{American}{27(17)}~~:~~\stackrel{Japanese}{19(17)}~~:~~\stackrel{German}{14(17)}~~:~~\stackrel{British}{11(17)} \\\\\\ \stackrel{American}{459}~~:~~\stackrel{Japanese}{323}~~:~~\stackrel{German}{238}~~:~~\stackrel{British}{187}\qquad \textit{in millions}[/tex]
What is the equation of the line that passes through (7,4) and (4,-2)?
O y= 2x - 10
O y=-2x - 10
O y=-2x + 18
y= 2x + 18
Answer:
y = 2x - 10
Step-by-step explanation:
First, we find the slope.
m = slope = (y2 - y1)/(x2 - x1) = (-2 - 4)/(4 - 7) = -6/(-3) = 2
Now we use the slope in the slope-intercept form of the equation of a line.
y = mx + b
y = 2x + b
We use the coordinates of one of the given points for x and y, and we solve for b. Let's use the point (7, 4), so we have x = 7 and y = 4.
4 = 2(7) + b
4 = 14 + b
Subtract 14 from both sides.
-10 = b
Now we replace b with -10.
y = 2x - 10
Answer: y = 2x - 10
Aron flips a penny 9 times. Which expression represents the probability of getting exactly 3 heads?
Answer:
[tex] ^ 9 C _ 3 ( 0 . 5 ) ^ 3 ( 0 . 5 ) ^ 6 [/tex]
Step-by-step explanation:
We know that Aron flips a penny 9 times and gets exactly 3 heads .
Probability of getting a head or a tail is [tex] \frac { 1 } { 2 } [/tex].
Here, we need to find the probability of getting exactly 3 heads:
[tex]P(x=3)=^9C_3(\frac{1}{2})^3\times \frac{1}{2}^6\\\\P(x=3)=^9C_3(0.5)^3\times (0.5)^6\\\\P(x=3)=\frac{9!}{3!\tiems 6!}\times (0.5)^9\\\\P(x=3)=0.16[/tex]
So the expression representing this situation will be:
[tex] ^ 9 C _ 3 ( 0 . 5 ) ^ 3 ( 0 . 5 ) ^ 6 [/tex]
Final answer:
The probability of getting exactly 3 heads in 9 coin flips is calculated using the binomial probability formula, resulting in approximately 16.40625%.
Explanation:
The probability of getting exactly 3 heads when flipping a penny 9 times involves combinations and binomial probability. The probability of getting a head on any single flip is 50% (or 0.5), and the same is true for getting a tail.
To calculate the probability of getting exactly 3 heads (and therefore 6 tails), we use the binomial probability formula:
P(exactly k heads) = C(n, k) × ([tex]p^k[/tex]) × ([tex](1-p)^(n-k)[/tex])
Where:
‘C(n, k)’ is the number of combinations of n things taken k at a time ‘p’ is the probability of getting a head on a single flip (0.5)‘n’ is the total number of flips (9)‘k’ is the number of desired heads (3)Therefore, the probability is:
P(3 heads) = C(9, 3) × (0.5³) × (0.5⁽⁹⁻³)
Calculating C(9, 3) gives us 84 combinations. So the probability is:
P(3 heads) = 84 × (0.5³) × (0.5⁶) = 84 × (0.125) × (0.015625) = 0.1640625 or 16.40625%
Issof claims that the scale factor is 1/2. Which statement about his claim is correct
Answer:
He is incorrect because the scale factor is 1/3.
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
Triangles CA'B' and CAB are similar
The pre-image is the triangle CAB
The image is the triangle CA'B'
therefore
The scale factor is equal to
CB'/CB
we have
CB'=2 units
CB=2+4=6 units
substitute
CB'/CB=2/6=1/3
therefore
He is incorrect because the scale factor is 1/3.
Find the difference 28y-16y
Answer:
12y
Step-by-step explanation:
28y - 16y
Factor out a y
y(28-16)
y(12)
The difference is 12y
A person alive for x 3(2x-3)+4(2-x)=0 ..
A. 1/2
B. 17/10
C. -17/2
what is the equation of (4,10),(6,11) in standard form?
ANSWER
The standard form is:
[tex]x - 2y = - 16[/tex]
EXPLANATION
The given line passes through (4,10)and (6,11).
The slope of this line is
[tex]m = \frac{11 - 10}{6 - 4} [/tex]
[tex]m = \frac{1}{2} [/tex]
The equation is given by the formula,
[tex]y-y_1=m(x-x_1)[/tex]
We plug in the first point and the slope to get.
[tex]y-10= \frac{1}{2} (x-4)[/tex]
[tex]2y - 20 = x - 4[/tex]
[tex]x - 2y = - 20 + 4[/tex]
[tex]x - 2y = - 16[/tex]
The standard form is
[tex]x - 2y = - 16[/tex]
What is the sum of the terms in the sequence
3, 6, 9, …, 99?
[tex]S_n=\dfrac{a_1+a_n}{2}\cdot n\\a_1=3\\d=3\\a_n=99\\n=?\\\\a_n=a_1+(n-1)\cdot d\\99=3+(n-1)\cdot 3\\3n-3=96\\3n=99\\n=33\\\\S_{33}=\dfrac{3+99}{2}\cdot33=51\cdot33=1683[/tex]
-7x-10-15x=-22x+83
how many solutions!???
Answer:
No solution
Step-by-step explanation:
No values of x exist that make the equation true
Answer:
There are no solutions
Step-by-step explanation:
-7x-10-15x=-22x+83
Combine like terms
-22x -10 = -22x +83
Add 22x to each side
-22x +22x-10 = -22x+22x +83
-10 = 83
This is never true so there are no solutions
The graph of the equation y=|x+5| is shifted 2 units up and 6 units to the right. Rewrite the equation of the new graph for the values x>1, without using absolute value.
Answer:
Step-by-step explanation:
To move the graph 6 units to the right, subtract 6 in the absolute value.
y=|x+5-6|
To move it up, add 2 outside the absolute value.
y=|x+5-6|+2
Now remove the absolute values since x>1.
y=x+5-6+2
y=x+1
a hollow cylindrical iron pipe with external and internal radii 8cm and 6cm respectively and length 35 cm is melted and recast into a solid wire of thickness 2.8 cm .find the length of wire.
Answer:
[tex]500\ cm[/tex]
Step-by-step explanation:
step 1
Find the volume of hollow cylinder
[tex]V=\pi (r2^{2}-r1^{2})h[/tex]
we have
[tex]r2=8\ cm[/tex]
[tex]r1=6\ cm[/tex]
[tex]h=35\ cm[/tex]
substitute
[tex]V=\pi (8^{2}-6^{2})(35)[/tex]
[tex]V=\pi (28)(35)[/tex]
[tex]V=980\pi\ cm^{3}[/tex]
step 2
we know that
The wire is a solid cylinder with the same volume of the hollow cylinder
so
[tex]V=\pi r^{2}h[/tex]
we have
[tex]V=980\pi\ cm^{3}[/tex]
[tex]r=2.8/2=1.4\ cm[/tex] ----> the radius is half the diameter (thickness)
substitute and solve for h
[tex]980\pi=\pi (1.4)^{2}h[/tex]
[tex]980=(1.96)h[/tex]
[tex]h=980/(1.96)=500\ cm[/tex]
PLEASE ANSWER QUICKLY Carmen uses 2/7 of a bag of flour to make 1/2 of a batch of her special homemade cookies how many bags of flour does it take to make 3 batches of the cookies
Answer:
1 5/7 bags of flour to make three batches of cookies
Step-by-step explanatio
12/7 bag of the flour is required to make 3 batches of cookies
What's the equation defining?Mathematics written statement indicating the equality of 2 expressions. this consists of the sequence of the symbols that is split in to left or right sides joined by the equal sign. For example, 2 + 4 + 5 = 11 is an equation.
Do equations always contain terms?When equality holds, the total weight on the each side is the same. Equations often contain terms other than a unknowns. These other terms, which is assumed to be known, is usually known as constants, coefficients and parameters
From the question;
2/7 bag of flour makes 1/2 of a batch of cookies
x bag of flour will make 3 batches of cookies
Mathematically, we cross multiply
2/7 * 3 = 1/2 * x
6/7 = x/2
2 * 6 = 7 * x
12 = 7x
x = 12/7 bag of flour
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The figure shows a parallelogram inside a rectangle outline:
What is the area of the parallelogram?
A) 1/25 square feet
B) 11/25 square feet
C) 3/25 square feet
D) 4/25 square feet
A = base x height
A = (3/5 - 1/5) x 2/5
A = 2/5 x 2/5
A = (2/5)²
A = 2²/5²
A = 4/25
The answer is D) 4/25 square feet.
A line passes through the points (–3, –4) and (6, 2). What number is the x-intercept?
A –3
B –2
C 2
D 3
Answer:
D. 3Step-by-step explanation:
[tex]\bold{METHOD\ 1}[/tex]
[tex]\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{x-intercept:}\ (x,\ 0).\\\\\text{Susbtitute the coordinates of the points to the formula of a slope}\\\\(-3,\ -4),\ (6,\ 2),\ (x,\ 0):\\\\m=\dfrac{2-(-4)}{6-(-3)}=\dfrac{2+4}{6+3}=\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\\\\m=\dfrac{0-2}{x-6}=\dfrac{-2}{x-6}\\\\\text{Therefore we have the equation:}\\\\\dfrac{-2}{x-6}=\dfrac{2}{3}\qquad\text{cross multiply}\\\\2(x-6)=(-2)(3)\\\\2(x-6)=-6\qquad\text{divide both sides by 2}\\\\x-6=-3\qquad\text{add 6 to both sides}\\\\x=3[/tex]
[tex]\bold{METHOD\ 2}\\\\\text{Look at the picture.}[/tex]
Mark points in the coordinate system.
Lead a line through these points.
Read x-intercept.
Answer: the answer is D
Step-by-step explanation:
a. If cosθ=−45 where θ is in quadrant 3, find sin2θ. b. If cosθ=2√2 where θ is in quadrant 1, find cos2θ. c. If sinθ=817 where θ is in quadrant 2, find tan2θ.
Answer:
Part A) [tex]sin(2\theta)=\frac{24}{25}[/tex]
Part B) [tex]cos(2\theta)=0[/tex]
Part C) [tex]tan(2\theta)=-\frac{240}{161}[/tex]
Step-by-step explanation:
Part A) we have [tex]cos(\theta)=-\frac{4}{5}[/tex]
θ is in quadrant 3 ----> the sine is negative
Find [tex]sin(2\theta)[/tex]
we know that
[tex]sin(2\theta)=2sin(\theta)cos(\theta)[/tex]
Remember that
[tex]cos^{2} (\theta)+sin^{2} (\theta)=1[/tex]
substitute
[tex](-\frac{4}{5})^{2}+sin^{2} (\theta)=1[/tex]
[tex](\frac{16}{25})+sin^{2} (\theta)=1[/tex]
[tex]sin^{2} (\theta)=1-\frac{16}{25}[/tex]
[tex]sin^{2} (\theta)=\frac{9}{25}[/tex]
[tex]sin(\theta)=-\frac{3}{5}[/tex] ---> remember that the sine is negative (3 quadrant)
Find [tex]sin(2\theta)[/tex]
we have
[tex]cos(\theta)=-\frac{4}{5}[/tex]
[tex]sin(\theta)=-\frac{3}{5}[/tex]
[tex]sin(2\theta)=2sin(\theta)cos(\theta)[/tex]
substitute
[tex]sin(2\theta)=2(-\frac{3}{5})(-\frac{4}{5})[/tex]
[tex]sin(2\theta)=\frac{24}{25}[/tex]
Part B) we have [tex]cos(\theta)=\frac{\sqrt{2}}{2}[/tex]
θ is in quadrant 1
Find [tex]cos(2\theta)[/tex]
we know that
[tex]cos(2\theta)=2cos^{2} (\theta)-1[/tex]
substitute
[tex]cos(2\theta)=2(\frac{\sqrt{2}}{2} )^{2}-1[/tex]
[tex]cos(2\theta)=0[/tex]
Part C) we have [tex]sin(\theta)=\frac{8}{17}[/tex]
θ is in quadrant 2 ----> the cosine is negative
Find [tex]tan(2\theta)[/tex]
we know that
[tex]tan(2\theta)=\frac{2tan(\theta)}{1-tan^{2} (\theta)}[/tex]
Remember that
[tex]cos^{2} (\theta)+sin^{2} (\theta)=1[/tex]
substitute
[tex]cos^{2} (\theta)+(\frac{8}{17})^{2}=1[/tex]
[tex]cos^{2} (\theta)=1-\frac{64}{289}[/tex]
[tex]cos^{2} (\theta)=\frac{225}{289}[/tex]
[tex]cos(\theta)=-\frac{15}{17}[/tex]
Find [tex]tan(\theta)[/tex]
[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]
substitute
[tex]tan(\theta)=\frac{(8/17)}{(-15/17)}[/tex]
[tex]tan(\theta)=-\frac{8}{15}[/tex]
Find [tex]tan(2\theta)[/tex]
[tex]tan(2\theta)=\frac{2tan(\theta)}{1-tan^{2} (\theta)}[/tex]
substitute
[tex]tan(2\theta)=\frac{2(-\frac{8}{15})}{1-(-\frac{8}{15})^{2}}[/tex]
[tex]tan(2\theta)=\frac{(-\frac{16}{15})}{1-(\frac{64}{225})}[/tex]
[tex]tan(2\theta)=\frac{(-\frac{16}{15})}{1-\frac{64}{225}}[/tex]
[tex]tan(2\theta)=\frac{(-\frac{16}{15})}{\frac{161}{225}}[/tex]
[tex]tan(2\theta)=-\frac{240}{161}[/tex]
What is the slope of the line that passes through the points (3, 1) and (8,3)
Please help I need this before it hits 12
Answer:
2/5
Step-by-step explanation:
Rise over run
Difference of y over the difference in x
Answer:
The slope is 2/5
Step-by-step explanation:
The slope formula is delta y over delta x. If you insert the coordinates the equation is 1-3 / 3-8 = -2/-5 = 2/5. The slope is 2/5
If gumballs come in 10 different colors what is the chance of getting a blue gum ball
1
10
15
20
i think the answer to this question would be 1
Identify the vertex of the graph Tell whether it is a minimum or a maximum
Answer:
(1,2) maximum
Step-by-step explanation:
The vertex is the the point on the graph where the graph does a "u-turn".
this point can either represent the maximum value or the minimum value depending on which way the graph is facing.
In this case, the graph looks like an "n" (as opposed to a "u").
We can clearly see that the point where the graph makes a U-turn is (1, 2)
we can also see that no part of the graph extends above this point, hence this point represents the maximum value which y could possibly be.
Hence (1,2) is maximum