Given:
The vertices of the triangle ABC are A(2, 1), B(0,-1), C(2, -1).
To find:
The vertices of the image of triangle ABC if ABC is translated two units down.
Solution:
It is given that the triangle ABC is translated two units down. So, the rule of translation is:
[tex](x,y)\to (x,y-2)[/tex]
Using this rule, we get
[tex]A(2,1)\to A'(2,1-2)[/tex]
[tex]A(2,1)\to A'(2,-1)[/tex]
Similarly,
[tex]B(0,-1)\to B'(0,-1-2)[/tex]
[tex]B(0,-1)\to B'(0,-3)[/tex]
And,
[tex]C(2.-1)\to C'(2,-1-2)[/tex]
[tex]C(2.-1)\to C'(2,-3)[/tex]
The vertices of the image are A'(2,-1), B'(0,-3), C'(2,-3).
Therefore, the correct option is C.
Answer:
C.
Step-by-step explanation:
Solve.
Sy= 2x - 6
4x – 2y = 14
Use the substitution method
Answer:
14.4 i hope it helped you
(3[tex]\sqrt{7} \\[/tex]+7[tex]\sqrt{3}[/tex])/[tex]\sqrt{21}[/tex]
Answer:
sqrt(3) + sqrt(7)
Step-by-step explanation:
3*sqrt(7) / sqrt(21) = 3/sqrt(3)
If you rationalize the denominator, you get 3*sqrt(3)/3. The threes cancel
You are left with sqrt(3)
7sqrt(3)/sqrt(21) = 7 / sqrt(7)
If you rationalize the denominator, you get
7 sqrt(7)/ 7 = sqrt(7)
The 7s have been canceled out
The answer is
sqrt(3) + sqrt(7)
x>0, y>0, 2x+3y=8, smallest value of xy? pls help me
Answer:
where there is x in the equation we put 0
For y
=2(0)+3y=8
=0+3y=8 Group likely terms
=3y=8-0
=3y=8 Divide both sides by 3
=3y/3=8/3
Therefore y=2.6
For x
=2x+3y=8
=2x+3(0)=8
=2x+0=8 Group likely terms
=2x=8-0
=2x=8 Divide both sides by 2
=2x/2=8/2
Therefore x=4
The smallest numbers for x and y is 4 and 2.6 respectively
When 4x + 4x + 1 = 33 is solved, the result is:
Answer:
x = 4
Step-by-step explanation:
1. 8x+1 = 33 and the 4x together
2. 8x = 32 subtract 1 from each side
3. x = 4 Divide both sides by 8
Answer:
x=4
Step-by-step explanation:
4x+4x+1=33
Combine like (similar) terms:
8x+1=33
Rearrange terms to solve for x:
8x=33-1
8x=32
[tex]\frac{8x}{8} =\frac{32}{8}[/tex]
x=4
Therefore, x=4.
The price of an item yesterday was 120 . Today, the price fell to 78 . Find the percentage decrease.
Answer:
65%
Step-by-step explanation:
120 * x = 78
78/120 = x
.65 = x
Answer:
35%
Step-by-step explanation:
First, set up the equation.
[tex]\frac{78-120}{120} *100=[/tex] %Then solve.
78-120 is -42.
Divide by 120. -0.35.
Multiply by 100. -35.
The negative sign means that it is decreasing, so you can take it away.
I hope this helps!
Debt is a result of spending more than you make.
True
False
1. Choose the correct algebraic equation to represent: the amount decreased by $9 is $42.
9-m=42
9-m
m-9=42
m-9
Answer:
m-9=42
Step-by-step explanation:
An amount subtracted by $9 is $42.
(an amount is unknown, so it is represented with variable, m)
m-9=42
help please I'm doing some math homework
Answer:
Slope is 5/2
Step-by-step explanation:
[tex]{ \boxed{ \bf{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1}} }}}[/tex]
Substitute the terms:
[tex]{ \tt{slope = \frac{7 - ( - 3)}{4 - 0} }} \\ = \frac{5}{2} [/tex]
Rhombus LMNO is shown with its diagonals.
Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. All sides are congruent.
Angle MNO measures 112°. What is the measure of angle LMN?
Answer:
hope this help
Step-by-step explanation:
Answer:
90
51
10
Step-by-step explanation:
Shree travels a distance of 12 km from her house to school by a bus at 20 km/hr and returns home at 16 km/hr.
i Calculate the time required to reach school from home .
ii find out the time required to reach home from school .
iii Determine the average distance of entire journey .
Answer:
Step-by-step explanation:
1 t= S/V1= 12/20=0.6 hours
2 t =S/V2 = 12/16= 0.75 hours
3 12km
i guess they wanna determine the average V
Please help me solve this problem
Answer:
-4
they wanted you to compute using x as 3
-2*3 + 2 = -4
Step-by-step explanation:
Based only on the given information, it is guaranteed that LN I MO.
L
Given: ALON
LM: NM
LO = NO
MO #MO
M
0
N
Answer:
true
Step-by-step explanation:
We are given that sides LM and NM, LO and NO, MO and MO are congruent. Since this describes 3 sides of the triangle, you can say ΔMNO is congruent to ΔMLO. From this, you can say ∠OMN is congruent to ∠OML. The two angles (∠OMN and ∠OML) form a straight line, meaning they add up to 180 degrees. We can write:
∠OMN + ∠OML = 180
And since ∠OMN = ∠OML, we can substitute and solve:
∠OMN + ∠OMN = 180
2∠OMN = 180
∠OML =∠OMN = 90
Since both these angles are 90 degrees, LN is perpendicular to MO by definition.
Radio signals travel at a rate of 3x10^8 meters per second how many seconds would it take for a radio signal to travel from a satellite to the surface of the earth if the satellite is orbiting at a height of 3.6x10^7 meters
Answer:
1.2x10^-1 seconds
Step-by-step explanation:
Answer:
0.12 seconds
Step-by-step explanation:
just think - how long does it take you to travel for example 30 km, if you are going 60 km/h ?
you have to divide 30 by 60 and get 0.5 or 1/2. meaning it takes you (logically) 30 minutes or half an hour to do so.
it is the same principle for all these kinds of questions.
we only need to keep an eye on the dimension of what we are talking about. is it hours or seconds ? meters or kilometers ? and do in
we need here to focus on seconds and to calculate
3.6×10⁷ / 3×10⁸ = 3.6 / 3×10¹ = 1.2 / 10 = 0.12 seconds
or
[tex]1.2 \times {10}^{ - 1} [/tex]
seconds
What is the measure of each intercepted arc for each inscribed angle of a regular hexagon inscribed in a circle?
Answer:
Step-by-step explanation:
The inscribed angles are made up of the remote interior angles of this hexagon, of which each of them measures 120 degrees. That means that if this is measure of the inscribed angle, the arc this angle intercepts is twice the degree measure of the inscribed angle. The arcs then will all measure 240 degrees.
The altitude of an equilateral triangle is 6v3 units long. The length of one side of the triangle is
units.
Answer:
Side = 2 * height / sqr root 3
Side = 2 * 6 * sqr root 3 / sqr root 3
Side = 12
Step-by-step explanation:
What is the area of the circle?
Diameter = radius x 2
So, the radius is half of the denominator.
10 / 2 = 5
A = pi x r^2
A = pi x 5^2
A = 3 x 25
A = 75 ft^2
Hope this helps!
A car covers a distance of 132 km. If each tire’s diameter is 42 cm, how many rotations does each tire make in covering this distance?
Answer:
Step-by-step explanation:
Diameter (D)= 42cm
Circumference = (pie)D= (22/7)*D=(22/7)*42 = 132cm
1 circumference = 1 revolution
1 revolution = 132cm = 1.32m
for covering 5.28km no. of revolution = 5.28*1000/1.32 = 4000
Hope this answer helps you :)
Have a great day
Mark brainliest
Three adults are picked at random from those with a mass of 70 kg or less.
Calculate the probability that one of them has a mass of 35 kg or less and the other two each have a
mass greater than 35 kg.
I NEED HELP BUT THE ANSWER MUST WORK ON KHAN ACADEMY
Answer:
x=55
Step-by-step explanation:
Since 2 sides are the same length, their base angles much be the same. The unmarked angle muse also be x
x+x+70 = 180 since the sum of the angles of a triangle must be 180
2x+70 = 180
2x = 180-70
2x = 110
Divide by 2
2x/2 =110/2
x=55
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{x + x + 70 = 180}^\circ[/tex]
[tex]\underline{\large\text{COMBINE the LIKE TERMS}}[/tex]
[tex]\large\textsf{(x + x) + 70 = 180}^\circ[/tex]
[tex]\large\textsf{x + x = \bf 2x}[/tex]
[tex]\large\textsf{2x + 70 = 180}^\circ[/tex]
[tex]\underline{\large\text{SUBTRACT 70 to BOTH SIDES}}[/tex]
[tex]\large\textsf{2x + 70 - 70 = 180 - 70}[/tex]
[tex]\large\text{CANCEL out: 70 - 70 because that gives you 0}[/tex]
[tex]\large\text{KEEP: 180 - 70 because helps solve for the x-value}[/tex]
[tex]\large\textsf{180 - 70 = \bf 110}[/tex]
[tex]\underline{\underline{\large\text{New equation: 2x = 110}}}[/tex]
[tex]\underline{\large\text{DIVIDE 2 to BOTH SIDES}}[/tex]
[tex]\large{\mathsf{\dfrac{2x}{2}=\dfrac{110}{2}}[/tex]
[tex]\large\text{CANCEL out: } \mathsf{\dfrac{2}{2}} \large\text{ because that gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{110}{2}}\large\text{ because that gives you the answer of the x-value}[/tex]
[tex]\mathsf{x = \dfrac{110}{2}}\\\\\large\textsf{x = 110}\div\large\textsf{2}\\\\\large\textsf{x = \bf 55}^\circ[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = \bf 55}}^\circ}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
rút gọn M=[ căn x -2/x-1- căn x +2/x+2 căn x+ 1] nhân x bình-2x+1/2 với x>0 x khác 1
Answer:
Step-by-step explanation:
show the work please and thank you
Answer:
Option a, 13
if you solve it, you get 13 as the answer
³√(5x-1)=4
or, 5x-1=64
or, 5x=65
or, x=13
The lines below are perpendicular. If the slope of the green line is ž, what is
the slope of the red line?
-5
5
m =
Answer:
B or (-2/3)
Step-by-step explanation:
Perpendicuar lines have negative inverse slopes SO
3/2 ---> -2/3
The diagram above shows a plan for a park. ABCD is a rectangle.
APB and DQC are semicircles centred at X and Y.
Given AB = 7 cm and AC = 25 cm.
Calculate the perimeter of the park in cm.
Answer:
Perimeter of the park = 70 cm
Step-by-step explanation:
Perimeter of the park = perimeter of the 2 semicircles + 2(length of the rectangle)
Perimeter = 2πr + 2(BC)
✔️Perimeter of the 2 semicircles = 2πr
Where,
radius (r) = ½(AB) = ½(7)
r = 3.5 cm
Perimeter = 2*π*3.5 = 7*π
Perimeter of the two semicircles = 21.9911486 ≈ 22 cm
✔️Find BC using Pythagorean theorem:
Thus,
BC = √(AC² - AB²)
AC = 25
AB = 7
BC = √(25² - 7²) = √576
BC = 24
✔️Perimeter of the park = perimeter of the 2 semicircles + 2(length of the rectangle)
Perimeter of the park = 22 + 2(24)
= 22 + 48
= 70 cm
HElp ASAP
A cement truck mixes 1 part cement
with 4 parts sand. If 2.5 cubic yards of
cement are used, how much sand is
needed for the mixture?
a. 6.25 cubic yards
b. 7.5 cubic yards
c. 10 cubic yards
d. 12.5 cubic yards
Answer: The answer is already there
Step-by-step explanation:
anyone know collage level algebra 2? I need help
Evaluate the series: image Question 1 options: A) 392 B) 249 C) 420 D) 406
Answer:
The required sum is 392
Step-by-step explanation:
Given the sum as shown;
[tex]\sum \left \77} \atop {a=1}} \right. (3a^2-4)[/tex]
When n = 1
f(1) = 3(1)²-4
f(1) = 3 - 4
f(1) = - 1
When n = 2
f(2) = 3(2)²-4
f(2) = 12 - 4
f(2) = 8
When n = 3
f(3) = 3(3)²-4
f(3) = 27 - 4
f(3) = 23
When n = 4
f(4) = 3(4)²-4
f(4) = 48 - 4
f(4) = 44
When n = 5
f(5) = 3(5)²-4
f(5) = 75 - 4
f(5) = 71
When n = 6
f(6) = 3(6)²-4
f(6) = 108 - 4
f(6) = 104
When n = 7
f(7) = 3(7)²-4
f(7) = 147 - 4
f(7) = 143
Taking their sum
Sum = f(1)+f(2)+(3)+f(4)+f(5)+f(6)+f(7)
Sum = -1 + 8 + 23 + 44 + 71 + 104 + 143
Sum = 392
Hence the required sum is 392
− 96 ÷ −6 ÷ 8 =
a) 2 b) -2
Answer:
answer is 2
Step-by-step explanation:
answer is 2…………………………………
⁴⁄₇ × ²⁄₃
Click the picture so that you can see the whole question
Answer:
8/21
Step-by-step explanation:
just multiply the numerator and denominator
Cho tứ diện ABCD . Trên cạnh AB lấy điểm M , AC lấy N , trong tam giác BCD lấy điểm P tìm giao điểm
a, MP và (ACD)
b, AD và ( MNP)
c , BD và ( MNP)
Answer:
a. Trong mp (BCD), nối BP cắt CD tại E
Trong mp (ABP), nối MP cắt AE kéo dài tại F (trong trường hợp MP không song song AE)
⇒F=MP∩(ACD)⇒F=MP∩(ACD)
b. Nếu MN cắt BC, kéo dài MN cắt BC tại G
Nối GP cắt BD tại H
Trong mặt phẳng (ABD), nối MH cắt AD tại K (trong trường howph MH ko song song AD)
⇒K=AD∩(MNP)⇒K=AD∩(MNP)
c. H=BD∩(MNP)
Step-by-step explanation:
Which graph shows the solution set
Answer:
D
Step-by-step explanation:
Answer:
It's D on there
Step-by-step explanation:
can someone please help me out marking brainliest
