Given parameters:
Coordinates of the two points = (-5, 6) and (8,-4)
Unknown:
Distance between the two points.
To find the distance between two points, use the expression below;
Distance ² = (x₂ - x₁)² + (y₂ - y₁)²
where;
(-5, 6) and (8,-4)
x₂ = 8 , x₁ = -5 , y₂ = -4 and y₁ = 6
Input the parameters and solve;
Distance² = (8-(-5))² + (-4 - (6))²
= 169 + 100
= 269
Distance = [tex]\sqrt269}[/tex] = 16.4
The distance between the two points is 16.4
A reflection of shape I across the y-axis, followed by a (90 counterclockwise rotation 90 clockwise rotation 180 rotation) and then a translation left 6 units and down 4 units confirms congruence between shape I and shape II. Alternatively, a (90 counterclockwise rotation 90 clockwise rotation 180 rotation)
of shape II about the origin, followed by a reflection across the y-axis, and then a translation right 4 units and up 6 units confirms congruence between shape II and shape I.
Answer:
1 90 clockwise rotation 2 90 counterclockwise rotation
Step-by-step explanation:
Transformation is a method required to resize or change the orientation of a given shape or figure. The required answer is:
i. Statements b and d would map Shape l onto Shape II
ii. Statements a, c, e, and f does not map Shape l onto Shape II
What is transformation?Transformation is a method required to resize or change the orientation of a given shape or figure. The types of transformation are translation, reflection, rotation, and dilation. The translation is a method that requires moving every point in a given shape in the same direction and same unit.
Reflection is a method that involves flipping a given figure about a given reference point or line. Rotation is a method that required turning a given figure at an angle about a reference point. Dilation is a method in which the length of the sides of the figure is either increased or decreased. Thus the answers to the question are listed as follows:
a. a reflection across the y-axis, followed by a 90° clockwise rotation about the origin, and then a translation left 6 units. Does not Map Shape l onto Shape II
b. a 90° clockwise rotation about the origin and then a translation left 6 units Answer: Maps Shape l onto Shape II
c. a 90° counterclockwise rotation about the origin, followed by a reflection across the y-axis, and then a translation left 6 units.
d. Does not Map Shape l onto Shape IId. a 90° clockwise rotation about the origin, followed by a reflection across the y-axis, and then a translation right 4 units Answer: Maps Shape l onto Shape II
e. a 180° rotation about the origin, followed by a reflection across the y-axis, and then a 90° clockwise rotation about the answer of the origin: Does not Map Shape l onto Shape II
f. a reflection across the y-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation right 4 units. Does not Map Shape l onto Shape II.
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Chantel counted 48 books on 6 shelves in the library, How many books would she expect to count on 12 shelves.
Answer: 96 books.
Step-by-step explanation:
48x2
-2(9 – 9) + 5 = 5
Send help please!
Answer:q=9
Step-by-step explanation:
-2(q - 9)+ 5=5
-5 -5
-2q + 18 = 0
-2q = -18
/-2 /-2
q = 9
plz, help me with this QUICKLY PLZ :(
Answer:
7/6
360
60
Step-by-step explanation:
Three choices tell you how to locate the point (3, -7.75). Which one does NOT? ECUFATE Starting at the origin, move 3 units to the right and 7.75 units down Starting at the origin, move 7.75 units down and 3 units to the right 20 Starting at the origin, move units up and 7.75 units to the left * Putra finger on 3 on the z-axis and a ſinger just before =8 on the y-axis. Move the first finger down and the second finger to the right until they meet.
Answer:
C . Starting at the origin, move 3 units up and 7.75 units to the left.
Step-by-step explanation:
How many solutions does the equation 4x + 2(x - 5) = 3(2x - 4) have?
А.
no solution
B. exactly one solution
C. at least two solutions
D. infinitely many solutions
Answer:
C
Step-by-step explanation:
remove () and calculate the product
8x*(x-5)=3(2x-4)
distribute 8x through the ()
8x^2-40x=6x-12
move the expression to the left-hand side and change its sign
8x^2-40x-6x+12=0
collect like terms
8x^2-46x+12=0
determine the number of solutions using the discriminant D=b^2-4 a c
D=(-46)^2-4*8*12
simply the expression
D=1732
Since D>0, the quadratic equations has 2 real solutions
2x^2+6x+3=0
Solve for quadratic formula
Answer:
x= (-3 +- sqrt3)/2
Step-by-step explanation:
Exact Form:
x=(-3± √ 3)/2
Decimal Form:
x = − 0.63397459 … , − 2.36602540 …
Find the value of x in each of the following
a) 5x/2+ 1 = 11
b) 2x/7 – 3 = 2
Answer:
A) x=4
B) x=35/2
Step-by-step explanation:
calculate the product
A) 5x/2+1=11
multiply both sides of the equation by 2
5x+2=22
move the constant to the right hand side and change its sign
5x+22-2
now subtract the numbers
5x=20
now didvide both sides
5x=20
x=4
B)
calculate the product
2x/7-3=2
multiply both sides of the equation by 7
2x-21=14
move the constant to the right hand side and change its sign
2x=14+21
add the numbers
2x=35
now divide both sides of the equation by 2
x=35/2
what is the difference between 4x and x4? evaluate both of these expressions when x = 2
Answer:
There is no difference. 4x and x4 are both meaning 4 times x and x times 4
Step-by-step explanation:
If x = 2, then 4 x 2 = 8.
x4 is the same thing
2 x 4 = 8
Note:
When the numbers are there together, without an operation, it means multiplication.
The value of the expression 4x is 8.
The value of the expression [tex]x^4[/tex] is 16.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
4x and [tex]x^4[/tex]
For x = 2,
4x = 4 x 2 = 8
[tex]x^4[/tex] = [tex]2^4[/tex] = 2 x 2 x 2 x 2 = 16
Thus,
The values of the expression are 8 and 16.
Learn more about expressions here:
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What is the distance from - 12 to -5 on a number line
Answer:
positive 7
Step-by-step explanation:
PLEASE I NEED HELP I NEED THIS LIKE RN BSKWNXJAJS
Image below
Answer:
look at the pic. I hope this helps.
What is the answer to this question please answer will make Brainly
Answer:
BIG Bs
Step-by-step explanation:
|k+8|=-10 must show work
Answer:
The answer is no solution.
Step-by-step explanation:
What is the slope of this graph?
7/8
-7/8
-8/7
7/8
Answer: -7/8
Step-by-step explanation:
counting down would be a negative (-7)
counting right would be positive (8)
How would I categorize numbers? For example, what category would √23 fit into? Thankssss
Answer:
positive, real, irrational, algebraic
Step-by-step explanation:
Numbers are categorized various ways. Some categories include ...
prime, composite
real, complex
integer, rational, irrational
whole number, natural number
positive, negative, zero
algebraic, non-algebraic*
√23 is the positive, real, irrational root of a prime number. It is an algebraic number.
_____
* An algebraic number is a root of a polynomial with integer coefficients.
√23 is a root of x^2 -23 = 0.
Find the line that is parallel to y=3x-5 and goes through the point (5,1)
Answer:
y=3x-14
Step-by-step explanation:
if its parallel
they it must be y=3x+b
and plug in x and y
you get the answer
Hope this help ya
<3
Red
Answer:
y = 3x - 14
Step-by-step explanation:
y = mx + b
1 = 3(5) + b
1 = 15 + b
b = -14
y = 3x - 14
what are square meters
How do you solve 2(x-6)=x-14
Answer:
x = -2
Step-by-step explanation:
[2(x-6) = x - 14]
Multiply 2 by x and (-6) in parenthesis, distribution
[2x -12 = x - 14]
Add 12 to both sides
[2x = x - 2]
Subtract x from both sides
[x = -2]
PLEASE HELP!!! find the remainder when x^4-2x^3+x^2-5x+3 is divided by x+1
a. -2
b. 8
c. 3
d. 12
Answer:
12
Step-by-step explanation:
answer choices:
(16,8)
(2,8)
(-6,8)
(-8,8)
Somebody has P paintings in his art collection he and other local pain in collectors agreed to donate a total of 48 paintings to the local museum each of the 12 collectors will donate the same number of paintings how many paying's will that person have in his artwork collection after his donation write your answer is an expression expression
Answer:
The person will have P-4 paintings left
Step-by-step explanation:
We are told that the total number of painters who entered into the painting donation agreement to the local museum is 12 painters
and they all agreed to donate 48 paintings equally
so each painter will donate
48/12= 4paintings
Since this person already had P paintings in his art collection
his painting will reduce by the 4 paintings he denoted to the local museum\
hence he will have
P-4 paintings remaining
find the value of x- I WILL GIVE BRAINLIEST!
show work
Answer:
10°
Step-by-step explanation:
It's a right angle so
90° - 52° = 38°
38 - 8 = 30
30 ÷ 3 = 10
check the work
3 × 10 = 30
30 + 8 = 38
38 + 52 = 90
What is an equation of the line that passes through the point (5, 4) and is parallel to
the line 6x – 5y = 15?
Answer:
6x - 5y does not change as it is parallel so I put x = 5 & y = 4 in this equation and the result is 6 × 5 - 5 × 4 = 30 - 20 = 10 so the parallel equation is 6x - 5y = 10
A movie ticket costs $9.A concert ticket costs $45. Which equation can be used to find how many times as much the concert ticket costs than a movie ticket?
Answer:
45/9=5 times
Step-by-step explanation:
Answer:
its 45 times 9=
Hope this helps!!
what is the measure of angle A?
Answer:
60
Step-by-step explanation:
60 plus 60 plus 60 is 180
has to add up to 180
A truck makes a trip of 14 hours, what was the speed if it traveled 2438 km?
Answer:
174
Step-by-step explanation:
I divided 2438 by 14 and got 174 mph.
Answer:
108.207
Step-by-step explanation:
I divided 2438km and 14hr
what is the geometric sequence?
Answer:
a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-one number called the common ratio. hope this helped :)
Step-by-step explanation:
Suppose you deposit $275.00 in your savings account on December 31. Your bank pays 3 percent annual interest on savings accounts. If you do not deposit any more money into the account, what would be the balance on December 31 of the following year?
Answer:
275 * 0.03 = accrued interest
accrued interest + initial deposit = total after one year
Step-by-step explanation:
the difference of 19 and the sum of 7 and k
Answer:
19 - (7 + k)
Step-by-step explanation:
Sum of 7 and k: (7 + k)Difference of 19 and (7 + k): 19 - (7 + k)I hope this helps!
What is the Integers of 3.5
Answer:
3.5 is a rational number.
Answer:
3.5 is a rational number, so a rational number can be made by dividing two integers. In mathematics, a rational number is a number that can be expressed as the quotient or fraction