Answer:
5/4
Step-by-step explanation:
1. -13 - -8 = -5
2. 4-8 = -4
3. -5/-4 = 5/4
Write a rule for the translation.
A. ( x - 1, y + 2 )
B. ( x + 2, y - 1 )
C. ( x - 2, y + 1 )
D. ( x + 1, y - 2 )
Answer:
Option B. ( x + 2, y - 1 ) is the correct answer.
Step-by-step explanation:
First of all, we have to write the coordinates of vertices of both triangles and then compare the respective vertices to find the rule,
So the vertices are:
A(-4,2) , B(-3,4) and C(-1,1)
A'(-2,1), B'(-1,3) and C'(1,0)
By comparing respective vertices we can observe that
A(-4,2) => (x+2,y-1) => A'(-2,1)
B(-3,4) => (x+2,y-1) => B'(-1,3)
C(-1,1) => (x+2,y-1) => C'(1,0)
Hence,
Option B. ( x + 2, y - 1 ) is the correct answer.
If j and k are nonzero integers, which pair of points must lie in the same quadrant?
(j, j) and (k, k)
(j, k) and (jk, jk)
(j + k, 3) and (3, j + k)
(3j, 3k) and (StartFraction 3 Over j EndFraction, StartFraction 3 Over k EndFraction)
The slash indicates a fraction.
=============================================
Proof:
We'll need to consider 4 different cases.
-----------------------
Case (1): j > 0 and k > 0
If j > 0, then 3j > 0 and 3/j > 0
If k > 0, then 3k > 0 and 3/k > 0
The two points (3j, 3k) and (3/j, 3/k) are both in quadrant 1.
-----------------------
Case (2): j > 0 and k < 0
If j > 0, then 3j > 0 and 3/j > 0
If k < 0, then 3k < 0 and 3/k < 0
Points (3j, 3k) and (3/j, 3/k) are both in quadrant 4.
------------------------
Case (3): j < 0 and k > 0
If j < 0, then 3j < 0 and 3/j < 0
If k > 0, then 3k > 0 and 3/k > 0
Points (3j, 3k) and (3/j, 3/k) are in quadrant 3.
------------------------
Case (4): j < 0 and k < 0
If j < 0, then 3j < 0 and 3/j < 0
If k < 0, then 3k < 0 and 3/k < 0
Points (3j, 3k) and (3/j, 3/k) are in quadrant 4.
------------------------
For nonzero integers j and k, we've shown that Points (3j, 3k) and (3/j, 3/k) are in the same quadrant. This concludes the proof.
Answer:
D
Step-by-step explanation:
Solve the equations by substitution method: A. 2x-y-3=0 and 3x+4y=65.
Step-by-step explanation:
[tex]\sf 2x-y-3=0\dots \dots (1)[/tex]
[tex]\sf 3x+4y=65 \\ \implies\sf 3x+4y-65=0 \dots\dots(2)[/tex]
from eq (1)[tex]{:}\longrightarrow[/tex][tex]\sf 2x-y-3=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x-3=y [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=2x-3 \dots\dots(3)[/tex]
Substitute the value in eq(2)[tex]{:}\longrightarrow[/tex][tex]\sf 3x+4y-65=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x +4 (2x-3)-65=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x+8x-12-65=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-77=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x=77 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {77}{11}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=7 [/tex]
Substitute the value in eq (3)[tex]{:}\longrightarrow[/tex][tex]\sf y=2x-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=2 (7)-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=14-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=11 [/tex]
[tex]\therefore[/tex][tex]{\underline{\boxed{\bf (x,y)=(7,11)}}}[/tex]
40 - 2× 3². What the answer
I believe the answer is 22!
Answer:
The answer is 22
Step-by-step explanation:
40-2(3^2)
= 40 - (2)(9)
= 40 - 18
= 22
Hope this helps
solve 3x + 5 ⩾ x + 17
Answer:
Step-by-step explanation:
Simplifying
3x + 5 = x + 17
Reorder the terms:
5 + 3x = x + 17
Reorder the terms:
5 + 3x = 17 + x
Solving
5 + 3x = 17 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
5 + 3x + -1x = 17 + x + -1x
Combine like terms: 3x + -1x = 2x
5 + 2x = 17 + x + -1x
Combine like terms: x + -1x = 0
5 + 2x = 17 + 0
5 + 2x = 17
Add '-5' to each side of the equation.
5 + -5 + 2x = 17 + -5
Combine like terms: 5 + -5 = 0
0 + 2x = 17 + -5
2x = 17 + -5
Combine like terms: 17 + -5 = 12
2x = 12
Divide each side by '2'.
x = 6
Simplifying
x = 6
NEED HELP ASAP
An airplane is heading due north at 700 kph, and a wind blows at 60 kph in the direction S 45° E. What is the plane’s ground speed?
640.00 kph
658.94 kph
700.00 kph
743.64 kph
Answer:
the planes ground speed is 658.94 kph
Step-by-step explanation:
The ground speed of the plane with respect to the wind is determined as 658.94 kph.
Ground speed of the planeThe ground speed of the plane is determined from the resultant speed of the plane with respect to the wind.
R² = 700² + 60² - 2(700)(60)cos45
R² = 434,203.03
R = √434,203.03
R = 658.94 kph
Thus, the ground speed of the plane with respect to the wind is determined as 658.94 kph.
Learn more about resultant speed here: https://brainly.com/question/15093278
#SPJ2
Dean used a triple beam balance to find that the mass of a rock was 40 g and he used a graduate cylinder that measures the volume is 5 ml. What is the density?
a
9 m/l
b
10 g/ml
c
6 g/ml
d
8 g/ml
PLSSSSSSSSSSSSSSSSSSS HELP MEEEEEEEEEEEEEEEEE
Answer:
Never bwa hahaha JK try d
Step-by-step explanation:
can someone please help me i dont understand this
Answer:
(-2,12)(-1,10)(0,8)(1,6)
Step-by-step explanation:
It has a constant slope of -2/1 *y2-y1/x2-x1*
QUICKKKKKKK
How can a system of equations be used to solve a real-world problem? Use the steps from this lesson in your explanation???
Answer:
Steps For Solving Real World Problems
2. Highlight the important information in the problem that will help write two equations.
3. Define your variables.
4. Write two equations.
5. Use one of the methods for solving systems of equations to solve.
6. Check your answers by substituting your ordered pair into the original equations.
Answer:
First, the two equations using two variables need to be written to represent the situation. Then the equations can be graphed. Find the point of intersection of the two linear functions. Match each value to the corresponding variable to interpret the solution.
A carpenter use 65 shelves to make 13 bookcases. She uses the same number of shelves for each bookcase. Are 32 shelves enough to build 6 more bookcases?
Answer:
Yes.
Step-by-step explanation:
First, find the unit rate for 1 bookcase.
65 ÷ by 13 = 5 (unit rate)
Then, multiply the unit rate by the bookcases the carpenter wants to make.
6 · 5 = 30
Finally, subtract the shelves the carpenter wants to use by 30.
32 - 30 = 2 shelves.
Therefore, 32 shelves is enough to build 6 more bookcases. <3
convert 37 percentage into a fraction
Answer:
37/100
Step-by-step explanation:
Devin and Joe are planning trips to three countries this year. There are 7 countries they would like to visit. One trip will be
one week long, another two days, and the other two weeks.
Оа
ob
Factorial; 5040 possible choices
Fundamental Counting Principle; 196 possible choices
Combination; 35 possible choices
Permutation; 210 possible choices
Od
Answer:210
Step-by-step explanation:
I need help on all of them :(
If x=4 and y=-2, what is the value of [tex]\frac{1}{2}[/tex] xy²?
Answer:
8
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
1/2xy²
x = 4
y = -2
Step 2: Solve
Substitute: 1/2(4)(-2)²Exponents: 1/2(4)(4)Multiply: 2(4)Multiply: 8SOmeone SMART HELP ME OMG
Answer:
x = 7, arc DE = 198°
Step-by-step explanation:
Inscribed angles from the same arc are congruent.
∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus
12x + 15 = 3x + 78 ( subtract 3x from both sides )
9x + 15 = 78 ( subtract 15 from both sides )
9x = 63 ( divide both sides by 9 )
x = 7
Thus
∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°
The inscribed angle DCE is half the measure of its intercepted arc, thus
arc DE = 2 × 99° = 198°
someone please help me understand how to do this
Answer: These are the answers for the first section
A) 1/5(10)-4= -2
B) 1/5(-15)-4= -7
C) 1/5(2)-4= -3.6
Step-by-step explanation: You plug in those numbers for X
i can’t figure this one out
Answer:
H.
Step-by-step explanation:
the number of premiums sold in week 3 was 50
the number of premiums sold in week 2 was 25
25 times 2 is 50
2/3 x -4 is the problem to solve
Answer:
-2.66666667
Step-by-step explanation:
Rehman invests his summer earnings of $3050. He invests past of the money at 8%/year, and the rest at 7.5%/year. After 1 year, these investments earn 242$ in simple interest. How much did he invest at each rate?
Answer:
let he invest x part of earning at the rate of 8%
simple interest = P*T*R/100 = x*1*8/100 = 0.08x
His invest at the rate of 7.5% = 3050 - x
Again simple interest = P*T*R/100 = (3050 - x)*1*7.5/100 = 228.75 - 0.075x
N0w acc0rding to question
0.08x + 228.75 - 0.075x = 242
0.005x= 13.25
x = 2650
rehman invest 2650 at 8% per year
He invest (3050-2650) = 400 0n 7.5% per year
Step-by-step explanation:
La fábrica Font Magdalena elabora 6 845 magdalenas diarias y, al empaquetarlas por docenas, utiliza 570 bolsas y le sobran 5 magdalenas. En cambio, la fábrica María Magdalena elabora el doble de magdalenas que la otra fábrica y las empaqueta en cajas de dos docenas. Sin hacer cálculos, ¿cuántas magdalenas le sobran a la segunda fábrica?
Answer:
5 magdalenas
Step-by-step explanation:
Ya que vamos a estimar la cantidad de magdalenas que sobraron en la fábrica de María Magdalena. Debemos razonar como sigue.
Dado que hay el doble de magdalenas producidos en Maria Magdelena en comparación con el número producido en Font Magdelena y los magdalenas de la primera se empaquetan en dos docenas, se deduce que el número de magdalenas que quedan en Maria Magdelena sigue siendo 5 porque el número de magdalenas y el número envasado aumentó exactamente en la misma cantidad.
if u subtract 17 from my number and multiply the difference by -5 the result is -25 what is the number
Answer:
the number is 22
Step-by-step explanation:
let the number be x
-5(x-17) = -25
-5x + 85 = - 25
-5x = - 25 - 85
-5x = - 110
x = - 110 ÷ - 5
x = 22
Check answer
- 5 × ( 22) + 85
- 110 + 85
- 25
what does x = ? need help with the pythagorean theorem
Answer:
The answer is 9
Step-by-step explanation:
set up the equation as 12^2 + b^2 = 15^2
solve the exponents and you get 144 + b^2 = 225
Then subtract 144 from both sides and get 81
After that just do the square root of 81 and you get 9
pls mark brainliest
I need someone’s help please I don’t know this that well
Answer:
raiz de 84 = 9.16
Step-by-step explanation:
la ubicacion que debes de poner es en la primera linea que te anexe en la linea
Which of the folllowing is the equation of a line perpendicular to the line y=-10x+1, passing through the point (5,7).
Answer:
[tex]y=\frac{1}{10}x+6.5[/tex]
Step-by-step explanation:
We know that a perpendicular line is the slopes reciprocol, so we just flip it.
10/1 --> 1/10
y = 1/10x + b
Now we plug in the coordinates to solve for the y-int!
7 = (1/10)5 +b
7 = 1/2 + b
Subtract 1/2 on both sides!
6.5 = b
Reform equation!
[tex]y=\frac{1}{10}x+6.5[/tex]
Brainliest Appreciated!
I’ll give you brainlest if you solve this!! Pleasee
Answer:
1, -0.5, -1/4, 0, 0.75
Step-by-step explanation:
i have no clue on the second onde
please help thanks.
Answer:
Option A
I hope this helps!
4) A TV is on sale. The TV has been reduced by 20%. The sale price is £540. What was the
original price of the TV?
Answer:
675
Step-by-step explanation:
If the price is 20 % off, then we will pay 100-20 = 80 percent of the original price
Let x be the original price
x* 80% = 540
Change to decimal form
x * .80 = 540
Divide each side by .80
.80x / .80 = 540/.80
x =675
The original price is 675
Growing up, Joe lived in a small town. When he left for college, the population was 840.
The population has grown by 5% after Joe's first year of college. What is the new
population?
Answer:882
Step-by-step explanation:5 percent of 840 is 42 so 840 plus 42
Answer:
882
Step-by-step explanation:
What is −2y + 10 + 2y − 8 simplified? A. 10 B. 8 C. 6 D. 2
Answer: 4y + 2
Step-by-step explanation:
IM JUST DIFFERENT;D
The graph of a linear function “f” passes through the point (1, 3) and has a slope of 3.
What is the y-intercept?
Answer:
0
Step-by-step explanation:
Using slope intercept as ref (y=mx+b)
plug in the x and y x=1 and y=3 and the slope m=3
3=3(1)+b
solve for b
3=3+b
b=0