Answer:
Answer A does not represent a function(I think)
Step-by-step explanation:
Because the Y-coordinates are the same.
The triangles are congruent by the SSS congruence theorem. Triangles F G H and V W X are shown. Triangle F G H is rotated about point G and then is shifted to the right to form triangle V W X. Which rigid transformation(s) can map TriangleFGH onto TriangleVWX? reflection, then rotation reflection, then translation rotation, then translation rotation, then dilation
Answer:
C. rotation, then translation
Step-by-step explanation:
edge 2021
I think it's C "rotation, then translation"
not 100% sure so check other answers too
Find the area of a 2-inch-wide decorative border around a rectangular canvas painting, where L is the length and W is the width of the canvas painting. (Formula for area of a rectangle: A equals L times W)
Answer:
4L +4W +16 square inches
Step-by-step explanation:
The area of the border is the equivalent of that of a rectangle with a width equal to the width of the border, and a length equal to the length of the midline of the border. That length is the perimeter of the rectangle that is L+2 units long and W+2 units wide.
border midline length = 2((L+2) +(W+2)) = 2L +2W +8
Then the border area is ...
border area = (border width)(border length) = (2)(2L +2W +8)
border area = 4L +4W +16 . . . square inches
_____
You can also figure this as the difference between the area of the rectangle with the border and the area of the rectangle inside the border:
border area = total area - canvas area
= (L+4)(W+4) -LW = LW +4L +4W +16 -LW
= 4L +4W +16 . . . . square inches
2/3 x (-6/7 + 4/5) = (2/3 x 4/5) x (-6/7) : verify
Answer:
No they can't be equal
Step-by-step explanation:
L.H.S. :-
2/3 × ( -6/7 + 4/5 )
=> 2/3 × -2/35
=> -4/105
R.H.S
(2/3 × 4/5) × -6/7
=> 8/15 × -6/7
=> -48/105
L.H.S IS NOT EQUAL TO R.H.S.
The sketch shows a triangle and its
exterior angles. Find the measure of
angle IAC.
Show all your calculations. Justify your
answer.
MDHA = 128"
MZHCA = 46°
Answer:
∠ IAC = 98°
Step-by-step explanation:
The sum of the exterior angle = 360°
∠ HCB = 180° - 46° = 134° ( adjacent angles )
Thus
∠ IAC + 128° + 134° = 360°, that is
∠ IAC + 262° = 360° ( subtract 262° from both sides )
∠ IAC = 98°
Answer:
<IAC=°98
Step-by-step explanation:
<DHA + CHA = 180 SUPPLEMENTARY ANGLE
128 +CHA=180
<CHA=52
<CHA + <HAC+<ACH=180 b/c it is triangle
46 +52+HAC= 180
<HAC= 180-98
<HAC= 82
<HAC + <IAC= 180. Supplementary angle
82+<IAC=180
<IAC=180-82
<IAC=98
Find the measure of arc JKM if angle KLM = 50 degrees.
Answer:
180°
Step-by-step explanation:
Answer:
180 = arc JKM
Step-by-step explanation:
Angle JM is a straight line so the angle is 180
Central Angle = Intercepted Arc
angle JM = arc JKM
180 = arc JKM
Circle Y is shown. Chords R T and S U intersect at point Z. Arc S R is 100 degrees and arc T U is 72 degrees. In circle Y, what is m∠SZT?
Answer:
m∠SZT = 86°
Step-by-step explanation:
First we draw the diagram from the given information. Find attached the diagram.
when two chords intersect inside a circle, the measure of the angle formed is 1/2(the sum of the measure of the arcs intercepted each other).
From the above,
m∠SZT = 1/2 (Arc SR + arc TU)
Arc SR =100 degrees
Arc TU =72 degrees
m∠SZT = 1/2 (100° + 72°)
m∠SZT = 1/2 (172°)
m∠SZT = 86°
These are circles that include lines and angles. The measure of angle m∠SZT from the given diagram is 86°
Coordinate geometryThese are circles that include lines and angles. Using the theorem, the measure of the vertex is half that of its intercepted arc.
Based on the theorem;
m∠SZT = 1/2 (arcSR + arcTU)
Given
Arc SR =100 degrees
Arc TU =72 degrees
Substitute
m∠SZT = 1/2 (100° + 72°)
m∠SZT = 1/2 (172°)
m∠SZT = 86°
The measure of angle m∠SZT from the given diagram is 86°
Learn more on coordinate geometry here: https://brainly.com/question/18269861
#SPJ2
The pie chart shows the sports played by 30 boys. How many boys play Rugby?
Answer:
10
Step-by-step explanation:
30 boys
1/2 play football
30/2 = 15
15 boys left
2/3 play rugby
15 x 2/3 = 10
The functions f(x) and g(x) are shown on the graph.
f(x) = x2
What is g(x)?
A. g(x) = -x2 + 2
B. g(x) = -X2 - 2
C. g(x) = (-x)2 - 2
D. g(x) = (-x)2 + 2
B. [tex]-x^2-2[/tex].
Hope this helps.
Answer:
i think its g(x)=-x^2-2
Step-by-step explanation:
Imagine if you won the jackpot! What are your chances to do so? What numbers would you pick? Would you take the annual installments or a reduced lump sum if you won?
Do you have numbers in mind? If so, jot them down (unless you want to keep them to yourself! If they are birthdays or numbers you use, you do not have to post, just describe). Have those numbers won before? In about 200 words.....I will give you an example then.. ...EXAMPLE:
Hello! I sometimes play and use birthdays/anniversaries for numbers. I do combinations of months and days for my kids, my husband, and myself. I do know that I would take the lump sum, instead of 30 payments. You end up taking the chunk out in taxes first, but in the long-haul, you save.
Step-by-step explanation:
Hi,
I like playing with the numbers. I do it either by playing games or by solving problems containing numbers. I also play to earn money for myself.
I use numbers form my date of birth, my telephone number, my street number, sometimes my house number to play lucky draws and try out my luck to win a jackpot. Sometimes I win and sometimes I loose.
So, I love to play with numbers.
Whenever I win, mostly I chose to take a lump sump amount so that I can immediately invest it in some other work to gain money.
URGENT!!! PLEASE help me with this question!
Answer:
[tex]\huge\boxed{x = 8,\ but\ x = 3\ is\ extraneous}[/tex]
Step-by-step explanation:
[tex]\sqrt{x+1}+5=x\\\\\text{Domain:}\ x+1\geq0\to x\geq-1\\\\\sqrt{x+1}+5=x\qquad\text{subtract 5 from both sides}\\\sqrt{x+1}=x-5\qquad\text{square both sides}\\(\sqrt{x+1})^2=(x-5)^2\qquad\text{use}\ (\sqrt{x})^2=x\ \text{and}\ (a-b)^2=a^2-2ab+b^2\\x+1=x^2-2(x)(5)+5^2\\x+1=x^2-10x+25\qquad\text{subtract}\ x\ \text{and}\ 1\ \text{from both sides}\\0=x^2-11x+24[/tex]
[tex]ab=24;\ a+b=-11\\a=-8;\ b=-3\\\\x^2-11x+24=0\\x^2-8x-3x+24=0\qquad\text{distribute}\\x(x-8)-3(x-8)=0\qquad\text{distribute}\\(x-8)(x-3)=0\\\\\text{The product is 0 if one of the factors is 0. Therefore}\\(x-8)(x-3)=0\iff x-8=0\ \vee\ x-3=0\\x-8=0\qquad\text{add 8 to both sides}\\\boxed{x=8}\in D\\x-3=0\qquad\text{add 3 to both sides}\\\boxed{x=3}\in D[/tex]
[tex]\text{For}\ x=8:\\\sqrt{8+1}+5=8\\\sqrt{9}+5=8\\3+5=8\\8=8\qquad\bold{CORRECT}\\\text{For}\ x=3:\\\sqrt{3+1}+5=3\\\sqrt4+5=3\\2+5=3\\7=3\qquad\bold{FALSE}[/tex]
Which is the correct algebraic expression after combining like terms? 6 + 8 x minus 7 minus x 7 x minus 1 7 x + 13 9 x minus 1 9 x + 13
Answer:
7x-1
Step-by-step explanation:
i did the test
Answer:
7x-1
Step-by-step explanation:
correct answer on edge
PLEASE HELP!!!
A calculator was used to perform a linear regression on the values in the table. The results are shown to the right of the table.
Image attached
Answer: C
explanation: a p e x
Explanation:
Start with the template they give, which is y = ax+b. From here, replace 'a' with -2.9 and b with 13.5 to get the answer y = -2.9x + 13.5
The r and r^2 values aren't used to form the regression line. Instead, they are ways to see how good a fit we have. Since r is fairly close to -1, this means we have a really strong negative correlation. All of the points are close or around the same straight line with a negative slope (that slope being -2.9).
What is the solution of the inequality shown a-1>11
Answer:
a > 12
Solutions can be anything over 12
Step-by-step explanation:
Well this one is pretty simple we just add 1 to both sides so the inequality turns into,
a > 12
Answer:
[tex]a>12[/tex]
Step-by-step explanation:
[tex]a-1>11[/tex]
Add [tex]1[/tex] on both sides.
The [tex]a[/tex] variable must be isolated on one side.
[tex]a-1+1>11+1[/tex]
[tex]a>12[/tex]
You've decided you want a plant for your room. At the gardening store, there are 444 different kinds of plants (tulip, fern, cactus, and ficus) and 444 different kinds of pots to hold the plants (clay pot, plastic pot, metal pot, and wood pot). If you randomly pick the plant and the pot, what is the probability that you'll end up with a tulip in a plastic pot?
Answer:
1/197136
Step-by-step explanation:
If there would be one pot and one plant the possibility would be 1 to take it.
It there were 2 plants and 1 pot it would be 1/2*1 = 1/2
If there were 2 plants and 2 pots it would be 1/2*2 = 1/4
With 444 plants and 444 pots it is 1/444*444 = 1/197136
There are 4×4 = 16 different combinations of plant and pot. Of those, 7 are either clay pot or cactus. Thus the probability you won't get a clay pot or a cactuis is 9/16.
Randomization in an experiment means that the experimental units or
subjects are selected as a simple random sample from the whole population
under study.
Answer:
Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of samples is important in an experiment, that is, to carry it out in a random way.
Step-by-step explanation:
For example;
If a crop at a certain time of year, for example in summer, is affected by a certain fungus, to know if it is really the time of year that affects this problem, random samples of the same crop with the same characteristics and put it to the test at another time of the year to see if the weather is really a risk factor in the spread of this fungus.
In a competition, a school awarded medals in different categiories.40 medals in sport 25 medals in danceand 212 medals in music, if the total of 55 students got medals and only 6 students got medals in the three categories ,how many students get medals in exactly two of these categories?
Answer:
210
Note: this answer might be incorrect because of the value of music (212). This doesn't make logical sense.
Step-by-step explanation:
Hello,
This question can easily be solved through the use of a venn diagram.
Total number of students = 55
Number of medals in sport = 40 = A
Number of medals in dance = 25 = B
Number of medals in music = 212 = C
Number of students that got award in the three categories = (AnBnC) = 6
n(AuBuC) = 55
n(AnB) + n(BnC) + n(AnC) - 3n(AnBnC) =
n(AnB) + n(AnB) + n(AnC) -3×6 ......equation (i)
n(AuBuC) = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)
Therefore,
n(AnB) + n(BnC) + n(AnC) = n(A) + n(B) + n(C) + n(AnBnC) - n(AuBuC)
n(A) + n(B) + n(C) + n(AnBnC) - n(AuBuC) - 18
40 + 25 + 212 + 6 - 55 - 18 = 210
Note: this answer might be incorrect because of the value of C (music)
Which system of inequalities has this graph as it’s solution
Answer:
Option (B)
Step-by-step explanation:
In the graph attached,
Two lines graphed have the equations as,
y = 2x - 3 [A line having y-intercept as (-3)]
[tex]y=\frac{1}{3}x+4[/tex] [Line having y-intercept as (4)]
Since both the lines have been represented by the dotted lines therefore, these lines will represent the inequalities [having the signs less than (<) or greater than (>)].
Now shaded region will decide the signs of the inequalities.
Since, shaded region of y = 2x - 3 is on the left side, inequality showing this region will be,
y > 2x - 3
Since, shaded region of [tex]y=\frac{1}{3}x+4[/tex] is above the line, inequality showing this region will be,
[tex]y>\frac{1}{3}x+4[/tex]
Therefore, Option (B) will be the answer.
Answer:
B
Step-by-step explanation:
Just is cuh
Determine the equation of a sine function that would have a range of {y|6<=y<=9} and a period of 60 degrees
Answer:
6 ^ 5743yy^€_*$%_$/_/^€^=÷/_#×
Cheryl is planning to go to a four-year college in two years. She develops a monthly savings plan using the estimates shown. What should her monthly savings be? (rounded to the nearest cent)
Answer:
$541.67 per month
Step-by-step explanation:
Tuition and other expenses = $8,250 per semester.
There are two semesters in a year
She has 4 years to spend
Total semester=4years*2semesters
=8 semesters
4 years in college which is a total of 8 semesters.
Total Tuition and other expenses = $8,250 * 8
= $66,000
She needs a total of $66,00 to complete her college
Assistance from parents=$15,000
Financial aid(per semester)=$4750
Total financial aid=$38,000
Total assistance=
Assistance from parents+ financial aid
=$15000+$38,000
=$53,000
Total savings=Total amount needed - Total assistance
=$66,000 - $53,000
=$13,000
She needs to save $13,000 in two years
There are 12 months in one year
2 years=2*12=24 months
Monthly savings=Total savings/24 months
=$13,000/24
=$541.666666
To the nearest cent
=$541.67
Answer: $541.67
Step-by-step explanation: Got it right on TTM.
To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that
Please answer this in two minutes
Answer:
60°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between sides of a right triangle and angles.
Tan = Opposite/Adjacent
tan(T) = SU/ST
tan(T) = (5√51)/(5√17) = √3
Now, the arctangent function is used to find the angle whose tangent is √3.
T = arctan(√3) = 60°
Find m
A. 82
B. 32
C. 98
D. 107
Answer: A. 82
Step-by-step explanation:
The measure of <BAD can be found by simply adding 25(<BAC)+57(<CAD) = 82.
[tex]\mathrm{BAD}=\mathrm{BAC}+\mathrm{CAD}=25^{\circ}+57^{\circ}=82^{\circ}[/tex].
Hope this helps.
What is 4/5 ( 4 over 5) times 3?
If f (x) = StartRoot x minus 3 EndRoot, which inequality can be used to find the domain of f(x)?
Answer:
[tex]x\geq 3[/tex] is the inequality to find the Domain of f(x)
Step-by-step explanation:
When we have a function where the variable "x" is inside a square root, we find its Domain by looking for all those values x for which the function is defined for the root, which means all the x-values that make the expression inside the root larger than or equal to zero, avoiding the values smaller for which the square root is not defined.
Therefore, in this case , for
[tex]f(x)=\sqrt{x-3}[/tex]
we ask for the x-values that verify:
[tex]x-3\geq 0\\x\geq 3[/tex]
where we have isolated x on one side of the equal sign.
This would be the definition of the Domain of the function.
Answer:
The answer is C
Step-by-step explanation:
ACEG is a paralellogram. BKD, HJF and CKJG are straight lines. Find the values of x and y
Answer:
[tex]\boxed{\mathrm{x=53\° \: \: \: y=33\°}}[/tex]
Step-by-step explanation:
Apply these rules to solve:
• Angles on a straight line add up to 180 degrees.
• Angles in a triangle add up to 180 degrees.
• Opposite angles in a parallelogram are equal.
• Angles in a quadrilateral add up to 360 degrees.
geometric sequence 1 on mymaths
Answer:
start with 97 and multiply each term by 0.5
3.03 cells
Step-by-step explanation:
1. The colony begins with 97 cells. The cells split into two which is the same as multiplying by 0.5.
2. Multiply 97 by 0.5 5 times for 5 minutes.
97 · 0.5 · 0.5 · 0.5 · 0.5 · 0.5 = 3.03
Marta is solving the equation x2+x=3 by completing the square what number should be added to both sides of the equation to complete the square?
Answer:
C = 1/4
Step-by-step explanation:
When solving a quadratic equation, there are steps to follow and I'll highlight them here.
Assuming we have an equation
ax² + bx + c = 0
Step 1
If a is not equal to 1, divide all through by a
x² + bx + c = 0
Take c to the other side of the equation
x² + bx = c
Step 2
Add (b/2)² to both sides of the equation
x² + bx + (b/2)² = c + (b/2)²
In our original question,
We had x² + x = 3
a = 1 , b = 1 c = 3
Using step two, we would have
(b / 2)² = (½)² = ¼ (which is the answer)
Now back to the steps
Step 3
We factor our left side of the equation so as to have a perfect square
[x + (b/2)]² = c + (b/2)²
Step 4
Take the square root of both sides of the equation and solve for x
x + b/2 = ±√[c + (b/2)²]
The answer to the question is ¼
Answer:
1/4
Step-by-step explanation:
Compute the value of each expression 7−17
Answer: -10
Step-by-step explanation:
7 - 17 = -10. An easy way to do this (with only two terms) is to just flip it, and do 17 - 7 = 10, then make 10 negative(-10)
Hope it helps <3
The roots of x^2 + 5x + 3 = 0 are p and q, and the roots of x^2 + bx + c = 0are p^2 and q^2. Find b + c.
Answer:
[tex]\large \boxed{\sf \ \ \ b=-19, \ \ c=9, \ \ \ b+c=-10 }[/tex]
Step-by-step explanation:
Hello,
we can write
[tex]x^2+5x+3=(x-p)(x-q)=x^2-(p+q)x+pq[/tex]
it means that p+q = -5 and pq=3
And then we are looking for b and c so that
[tex]x^2+bx+c=(x-p^2)(x-q^2)=x^2-(p^2+q^2)x+p^2q^2[/tex]
So
[tex]b=-(p^2+q^2)=-[(p+q)^2-2pq]=-[(-5)^2-2*3]=-(25-6)=-19\\\\c=p^2q^2=3^2=9[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
b + c = -10
Step-by-step explanation:
Notice that according to he quadratic formula, the solutions to a quadratic equation of the form:
[tex]x^2+bx+c=0[/tex]
are:
[tex]x=\frac{-b+/-\sqrt{b^2-4\,c} }{2}[/tex]
and such solutions verify the following conditions:
a) the product of the solutions is:
[tex](\frac{-b+\sqrt{b^2-4c} }{2} )\,(\frac{-b-\sqrt{b^2-4c} }{2} )=\frac{b^2-(b^2-4c)}{4} =\frac{4\,c}{4} =c[/tex]
b) the addition of the solutions is:
[tex](\frac{-b+\sqrt{b^2-4c} }{2} )+(\frac{-b-\sqrt{b^2-4c} }{2} )=\frac{-b-b}{2} =\frac{-2\,b}{2} =-b[/tex]
Therefore, applying these to the first equation, we get that the solutions p and q must verify:
[tex]p\,*\,q=3\,\,\,\,and\,\,\,\,p\,+\,q=-\,5[/tex]
On the other hand, we know that the solutions of the equation
[tex]x^2+bx+c=0[/tex]
are [tex]p^2\,\,\, and \,\,\,q^2[/tex]
Then considering what we found in step a), the product of these two solutions should equal the constant term"c":
[tex]p^2\,*\,q^2= c\\(p\,*\,q)\,(p\,*\,q)=c\\3\,*\,3 = c\\9=c[/tex]
so we know the value of "c" in the second quadratic expression: c = 9
Now, according to what we found in step b), the addition of the two solutions for the second quadratic expression should equal the opposite of the coefficient in the linear term. That is:
[tex]p^2+q^2=-b[/tex]
So, we need to find what the addition of these two squares is in order to find "b". We consider then what the expression [tex](p+q)^2[/tex] renders, since we know that [tex](p+q)=-5[/tex]:
[tex](p+q)^2=p^2+2\,p\,q+q^2\\(-5)^2=p^2+q^2+2\,(p\,*\,q)\\25=p^2+q^2+2\,(3)\\p^2+q^2=25-6\\p^2+q^2=19[/tex]
This means that
[tex]-b=19\\\\b=-19[/tex]
Now, knowing b and c, we can find what b+c is:
[tex]b+c=-19+9=-10[/tex]
What is 37 ÷ 100 × 9 =
Answer: 3.33
Step-by-step explanation:
Multiplication and division should be solved left to right.
[tex]37/100*9\\\\Divide(100)\\\\0.37*9\\\\Multiply(9)\\\\3.33[/tex]
Hope it helps <3
Answer:
=37/100×9=.
=divide 37 by 100
=0.37 ×9
=3.33