HELP! Point A is located at (3, -1). It is moved 5 units to the left and 4 units up. Its new coordinates are:
Answer: (-2,3)
Explanation:
Subtract 5 from the x coordinate to move the point five units to the left. We go from (3,-1) to (-2,-1) after doing this.
Next up, add 4 to the y coordinate to shift the point up four units. We go from (-2,-1) to (-2,3)
===========================================================
Explanation:
Subtract 5 from the x coordinate to move the point five units to the left. We go from (3,-1) to (-2,-1) after doing this.
Next up, add 4 to the y coordinate to shift the point up four units. We go from (-2,-1) to (-2,3)
See diagram below. Point A is the initial point, B is the second step, and C is the final destination.
-----------
Another way to write out the steps is to use the transformation rule below
[tex](x,y) \to (x-5, y+4)\\\\(3,-1) \to (3-5, -1+4)\\\\(3,-1) \to (-2, 3)\\\\[/tex]
10. A cliff on the seashore is eroding at the rate of 17 centimeters per year. Write and solve an equation to find the number of
years in which the cliff will erode 85 centimeters.
Answer:
The number of years in which the cliff will erode 85 centimeters are:
5 years.Step-by-step explanation:
To solve the question in the text, you must create a formula that includes the rate (17 centimeters per year) and a variable representing the time (t), how I show below:
f(t) = 17tWhere:
t = time in yearsRemember that where are not symbols between two numbers o variables, it means you must multiply (17t actually is 17 * t). Now you only must replace t by years 1 per 1 until obtain the value of 85 (the eroding wanted):
f(1) = 17(1) = 17 f(2) = 17(2) = 34 f(3) = 17(3) = 51 f(4) = 17(4) = 68 f(5) = 17(5) = 85How you can see, when the time is equal to 5, the f(t) or the eroding is 85, the value we wanted.
The math department needs to buy new textbooks and laptops for
the computer science classroom. The textbooks cost $89.00 each, and
the laptops cost $395.00 each.
a. If the math department has $7200 to spend and purchases 60
textbooks, how many laptops can they buy?
b. Suppose the math department decided to purchase 35
textbooks instead of 60. How does this change the number of
laptops that they can buy?
Answer:
a. 4
b. 10
Step-by-step explanation:
A. If the math department buys 60 textbooks, which are $89 each, we need to multiply 60 by $89 to get the amount that the textbooks will cost. This gives us $5340. Since the math department has $7200 to spend, we subtract 5340 from 7200. This gives us $1860 that the math department has left to spend on laptops. Since the laptops cost $395 each, and we have $1860 to spend, we divide 1860 by 395 to figure out how many laptops they can buy. This is 4.7. Since you can't buy 0.7 of a laptop, they can only buy 4 laptops. The final answer is 4.
B. The math department has $7200 to spend and buys 35 textbooks, which are $89 each. Multiply 35 by 89. This is $3115. Subtract this from $7200 to see how much the department has left to spend. The math department now has only $4085 to spend on laptops, which are $395 each. Divide 4085 by 395. This gives us 10.3. We can't buy 0.3 of a laptop, so they can only buy 10 laptops. The answer is 10.
Answer:
A:$7200-$5340
=$1860
They can buy 4 laptops which will cost $1580 and leave you with $280
B: 35 textbooks will cost $3115, which will leave us with $4085, so we can get 10 laptops
Step-by-step explanation:
The answer ;))))))))
Answer: option C: A1 = 50.3 in2; A2 = 113.1 in2; A3 = 176.7 in2
Step-by-step explanation: Please see the image below!
Find the value of x !!!
Answer:
x = 5
Step-by-step explanation:
From the Euclidean theorem
10^2 = x(x + 15)
100 = x(x+15) from this equation we can conclude that x = 5 and when
added to 15 it'd be 20 and multiplied by itself the result is equal to 100
A flight is plotted on a map having the scale
1 inch = 400 miles. On the map it is 9 72
inches from point A to point B. If a plane flies
this distant at the speed of 300 mph, how
long will the trip take?
inu
Answer:
Step-by-step explanation:
9.72*400
= 3888 miles
Inform me if I am right
(x+y)^2 (x2+2xy+y2) pleas show all work
Answer:
{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x
4
+4x
3
y+6x
2
y
2
+4xy
3
+y
4
Step-by-step explanation:
1 Use Square of Sum: {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}(a+b)
2
=a
2
+2ab+b
2
.
({x}^{2}+2xy+{y}^{2})({x}^{2}+2xy+{y}^{2})(x
2
+2xy+y
2
)(x
2
+2xy+y
2
)
2 Expand by distributing sum groups.
{x}^{2}({x}^{2}+2xy+{y}^{2})+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x
2
(x
2
+2xy+y
2
)+2xy(x
2
+2xy+y
2
)+y
2
(x
2
+2xy+y
2
)
3 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x
4
+2x
3
y+x
2
y
2
+2xy(x
2
+2xy+y
2
)+y
2
(x
2
+2xy+y
2
)
4 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}({x}^{2}+2xy+{y}^{2})x
4
+2x
3
y+x
2
y
2
+2x
3
y+4x
2
y
2
+2xy
3
+y
2
(x
2
+2xy+y
2
)
5 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}{x}^{2}+2{y}^{3}x+{y}^{4}x
4
+2x
3
y+x
2
y
2
+2x
3
y+4x
2
y
2
+2xy
3
+y
2
x
2
+2y
3
x+y
4
6 Collect like terms.
{x}^{4}+(2{x}^{3}y+2{x}^{3}y)+({x}^{2}{y}^{2}+4{x}^{2}{y}^{2}+{x}^{2}{y}^{2})+(2x{y}^{3}+2x{y}^{3})+{y}^{4}x
4
+(2x
3
y+2x
3
y)+(x
2
y
2
+4x
2
y
2
+x
2
y
2
)+(2xy
3
+2xy
3
)+y
4
7 Simplify.
{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x
4
+4x
3
y+6x
2
y
2
+4xy
3
+y
4
answer: x^4+4x^3 y+6x^2 y^2+4xy^3+y^4
The Pythagorean theorem, also known as the pythagoras’ theorem, is a fundamental relation in the geometry among the three sides of a right triangle. What does Pythagoras’ theorem states about the area of the square of the hypotenuse and the area of the squares on the other two legs
Answer:
it states: a squared + b squared = c squared ( the hypotenuse)
Step-by-step explanation:
Can someone please help!!
What is the shape of the cross section of the figure that is parallel to the triangular bases? A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases
Answer:
AStep-by-step explanation:
a parallelogram that is not a rectangle
Hope this helpsAnswer:
A
Step-by-step explanation:
I did it on the quiz
3. Sophia had 1/4 of her birthday cake leftover. She split that cake
between her and her best friend. How much of the cake did they each
get?
Answer:
1/8 of the original cake.
1/8 = 0.125
Step-by-step explanation:
The easiest way to do this is with decimals.
1/4 = 0.25
Each of the girls gets 0.25/2 = 0.125
Each girl gets 1/8 of the cake or 0.125 of the cake.
help asap pls like right nowww
Answer:
number 4 is D
Answer:
#4 is D
annnnnnnddddddddddddd............. I dont see the answers for number 5 ;(
Factorise fully
5ac - 10a2b + 30a
Answer:
5a(c-2ab+6)
Step-by-step explanation:
5a is in all three, then factorise
Answer:
5a(−2ab+c+6)
Step-by-step explanation:
Factor 5ac−10a2b+30a
−10a2b+5ac+30a
=5a(−2ab+c+6)
Answer:
5a(−2ab+c+6)
I need help
A.4
B.1/4
C.-4
D.-1/4
Answer:
The answer is C/-4.
Step-by-step explanation:
Mark me brainiiest.
The perimeter of a square is 3x-4 units. If the area of the square is 25 square units, what is the value of x?
Answer:3
Step-by-step explanation: 3(3)-4 =5
Area now is 5•5 equivalent to 25 :)
The value of x is 8.
Given that, the perimeter of a square is 3x-4 units, and the area of the square is 25 sq units, we need to find the value of x,
We know that the perimeter of the square = 4(sides)
Therefore,
4(sides) = 3x-4
sides = 3x-4 / 4
Now, the area = side²
= (3x-4 / 4)²
therefore,
(3x-4 / 4)² = 25
Taking the roots,
3x-4 / 4 = 5
3x-4 = 20
3x = 24
x = 8
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Last Monday local mail carriers delivered 1,344 pieces of mail. Of all the deliveries they made, 1 / 6 were magazines, 1 / 12 were packages, and the rest were letters. How many letters did the mail carriers deliver on Monday?
Answer: 1008 letters
Step-by-step explanation:
From the question, last Monday, a local mail carriers delivered 1,344 pieces of mail and of all the deliveries they made, 1 / 6 were magazines, 1 / 12 were packages, and the rest were letters. The fraction of letters will be:
= 1 - (1/6 + 1/12)
= 1 - (3/12)
= 9/12 = 3/4
We will now multiply 3/4 by 1344 to get the number of letters delivered.
= 3/4 × 1344
= 1008 letters
Answer:
1008 letters
:):):):):):):)
What is the y-intercept of the line perpendicular to the line y = -3/4 x + 5 that includes the point (-3, -3)?
Answer choices =
-3/4
1
7
-21/4
Answer:
y= -3/4
Step-by-step explanation:
The y-intercept of the line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point (-3, -3) is, 1
The equation of a line in point-slope form passing through the points
[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] with slope m is defined as;
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Given that,
The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point
(-3, -3).
Let us assume that the slope of perpendicular lines is m₁ and m₂.
Hence,
[tex]m_1 \times m_2 = - 1[/tex]
Here, The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex]
The equation of perpendicular line is,
[tex]y = \frac{-3}{4} x + 5[/tex]
Slope = [tex]\frac{-3}{4}[/tex]
Hence, the slope of the line is,
[tex]m = \frac{- 1}{\frac{-3}{4} }[/tex]
[tex]m = \frac{4}{3}[/tex]
Since, the line includes the point (-3, -3).
Hence, the equation of the line with slope [tex]m = \frac{4}{3}[/tex] includes the point (-3, -3) is,
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
⇒ [tex]y - (- 3) = \frac{4}{3} (x - (- 3))[/tex]
⇒ [tex]y + 3 = \frac{4}{3} (x +3)[/tex]
Multiply by 3 on both sides,
⇒ [tex]3 (y + 3) = 4 (x + 3)[/tex]
⇒ [tex]3y + 9 = 4x + 12\\[/tex]
⇒ [tex]3y = 4x + 3[/tex]
⇒ [tex]y = \frac{4}{3} x + 1[/tex]
So, the y-intercept is, 1
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does anyone understand and can help me asap?
Answer:
see below
Step-by-step explanation:
Circumference of circle = 2πr =dπ
Area of circle =πr²
1) Circle1 d =4 in, r =2 in
Circumference of circle1 =4π in
Area of circle1 = 2²π =4π in²
2) Circle2: d =3 in, r =1.5 in
Circumference of circle2 =3π in
Area of circle2 = 1.5²π =2.25π in²
3) Circle3: r =1 in, d =2 in
Circumference of circle3 =2π in
Area of circle3 = 1²π =π in²
4) Circle4: r =2 1/2 in = 2.5 in, d =5 in
Circumference of circle4 =5π in
Area of circle4 = 2.5²π = 6.25π in²
5) 2/3 of the Area of circle1 = (2/3)*4π in²= (8/3)π in²
6) 1/2 of the Area of circle2 = (1/2)*2.25π in² = (1/2)*(9/4)π in² = (9/8)π in²
7) 1/4 of the Area of circle3 = (1/4)π in²
8) 1/3 of the Area of circle4 = (1/3)* 6.25π in² =(1/3)*(25/4)π in² = (25/12)π in²
An rock is thrown upward from a platform that is 202 feet above ground at 70 feet per second. Use the projectile formula
h
=
−
16
t
2
+
v
0
t
+
h
0
to determine when the rock hit the ground.
[Recall that
v
0
is the initial velocity of the object and
h
0
is the inital height of the object.]
Answer:
in 6.36004793262 seconds
Step-by-step explanation:
h(t) = –16t^2 + v*t + h
0=-16t^2 + 70*t+ 202
t=(-70 ± sqrt((70^(2)-4*(-16)*202))/(2*(-16))
t=(-70 ± sqrt(4900+64*202))/-32
t=(-70 ± sqrt(4900+12928))/-32
t=(-70 ± sqrt(17828))/-32
t=(-70 ± sqrt(2*2*4457))/-32
t=(-70 ± 2 sqrt(4457))/-32
t=(-70 + 2 sqrt(4457))/-32
t=-1.98504793262
t=(-70 - 2 sqrt(4457))/-32
t=6.36004793262
since we need the time it will fall to the ground after it was thrown and time can't be negative, answer is
in 6.36004793262 seconds
I don't know till what I am supposed to round, so I will leave it there.
What is the circumference of a circle that has a radius of 10 centimeters? (Use 3.14 for ).C=_____cm
I just don't get it at all
PLZ HELP
Circumference = 2 pi r
R = 10
Pi = 3.14
Circumference = 2×3.14×10
=20×3.14 = 62.8 cm
_____________________________
Hey!!!
Radius(r)=10 cm
Circumference=?
Now,
Circumference=2 pi r
=2*3.14*10
=62.8 cm
So the answer is 62.8 cm
Hope it helps
Good luck on your assignment
______________________________
Help me on this last one
Answer:
The answer is A. [tex]g(x)=4x^2[/tex]
what is the solution to -122 < -3(-2-8x) -8x
Answer:
x>-8
Step-by-step explanation:
-122<-3(-2-8x)-8x
-122<6+24x-8x
-128<16x
x>-8
ANSWER ASAP -4x-4/3=x-6
Answer:
x = 0.9333333
Step-by-step explanation:
-4x - 4/3 = x - 6 Multiply through by 3
-12x - 4 = 3x - 18 Add 12x to both sides
-12x+12x-4 = 3x+12x - 18 Combine like terms
-4 = 15x - 18 Add 18 to both sides
-4+18=15x - 18 + 18 Combine like terms
14 = 15x Divide by 15
14/15 = x
x = 0.933333
25 POINTS!!!!Which of the following statements are true? Select all that apply.
The product of B and D is negative.
The quotient of A and C is positive.
= A ∙
The quotient of 0 and F is undefined.
A ∙ D = -E ∙ D
Answer:
then 0 and f have to be positive.
Step-by-step explanation:
Mark me brainlest.
Answer:
Its A and C and F
Step-by-step explanation:
What is the surface area of a sphere with radius 4?
O A. 120 units3
B. 167 units2
C. 327 units2
O D. 6410
Answer:
SA =64 pi units ^2
Step-by-step explanation:
The surface area of a sphere is given by
SA = 4 pi r^2
SA = 4 * pi * 4^2
SA =64 pi
SA =200.96
Eric and Simon each go for a morning jog before work. Eric's jogging
pace is represented by the equation y=6x, where y is the number of
miles he jogs and x is the number of hours he jogs. Simon's pace is
given by the graph. Choose the statement that correctly compares their
unit rates.
Answer:
Simons pace is 2 more miles per hour more than eric's.
Step-by-step explanation:
Answer:
Simon's unit rate is 2 more miles per hour than Eric's unit rate
Step-by-step explanation: D
Which expression represents the greatest common factor (GCF) of 105 and 126? A. 3 x 7 B. 2 x 5 x 7 C. 2 x 3 x 7 D. 5 x 7
(HELP AS FAST AS YOU CAN PLEASE!!!!!)
Answer:
Step-by-step explanation:
factors of 105:
1, 3, 5, 7, 15, 21, 35, 105
factors of 126:
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCF: 3*7 or 21
The GCF ( 105, 126) = 3 *7 =21.
What is GCF?The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
Given:
105 = 3 * 5 * 7
126 = 2 * 3* 3 *7
So, GCF ( 105, 126) = 3 *7 =21
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Your teacher tells you that the hour hand on an analog clock will rotate 45° while you write a math quiz. If the quiz starts at 9:00, what time does it end? What is the angle between the starting and ending positions of the minute hand?
Answer:
1. 10:00 2. 360 degrees
Step-by-step explanation:
1. The hour hand rotated to move app. 1 hour.
2. A full circle all the a way around the clock would equal 360 degrees
Answer:
Ends at 9:45
That is a right angle.
Step-by-step explanation:
Choose the best definition for the following term: substitution
A letter that holds the place for some unknown value in mathematics
A process where you must look for terms that have identical variable parts and then combine their coefficients
A process where if two things are equal, one can be put in the place of the other and nothing will change
Terms that have identical variable parts
Answer:
A process where if two things are equal, one can be put in the place of the other and nothing will change
Step-by-step explanation:
Its like replacing :)
Answer:
A letter that holds the place for some unknown value in mathematics
Step-by-step explanation:
Well in all honesty subbing has many definitions depending on what it's used for so in what way are you implying that subbing is used for?
Is the function even, odd or neither?
f(x) = |x| + 1
Your answer:
Even
Odd
Neither
Answer: Even
Step-by-step explanation:
This graph has been translated up by one unit but is still symmetrical about the y axis.
A simple proof would be to check if f(x) = f(-x). If it does, then it is even.
To check for an odd function, check if f(-x) = -f(x). If it does, then it is even.
To check for neither, f(-x) will not equal -f(x)