Give coordinates for three possible pairs of points for the other two verticies...
Answers
Answer:
A) (-1,3) and (4,3)
B) (-1,-7) and (4,-7)
C) (1.5, .5) and (1.5, -4.5)
Step-by-step explanation:
For 1 and 2, because the y-values of the points are the same, the length of the square can be found by subtracting the x-coordinates.
4-(-1)=4+1=5
The length of the side of the square is 5.
1. For the first set of points, the square is above the two given points so just add 5 to the y-values
-2+5=3
This gives you the points:
(-1,3) and (4,3)
2. For the second set of points, the square is below the two given points so subtract 5 from the y-values.
-2-5=-7
This give you the points:
(-1,-7) and (4,-7)
3. The third answer is when the two given points are on opposite corners
of the square.
Here the diagonal is equal to 5 since they are on opposite corners of the square.
The diagonal of a square can be found with the pythagorean theorem
Since we have the diagonal we can find the side lengths we need.
[tex]2s^2=25[/tex]
s=[tex]\sqrt{\frac{25}{2} }[/tex]
s=3.5355
We want the new vertices to be in the middle of the other vertices x-coordinates
[tex]\frac{4-(-1)}{2} =\frac{5}{2} =2.5[/tex]
The new vertices will be 2.5 units away from the other vertices
-1+2.5=1.5
The new vertices will be at x=1.5
Now we need the pythagorean theorem again to find the y-values
[tex](2.5)^2+h^2=(3.5355)^2[/tex]
[tex]6.25+h^2=\frac{25}{2}[/tex]
[tex]h=\sqrt{\frac{25}{2} -6.25}[/tex]
h=2.5
The new vertices will be:
(1.5, -2+2.5)=(1., .5)
(1.5, -2-2.5)=(1.5, -4.5)
Related Questions
The amount of oil it takes to cover the bottom of a frying pan.
Answers
Answer:
about 1 cup maybe less
Step-by-step explanation:
harry is x years old now. three years ago, jenny was twice harry's age. in three years time, ahmed will be five times as old as jenny. write an expression for ahmed's age now
Answers
Harry is x years old now.
Harry was x-3 years old three years ago.
Three years ago, Jenny was 2(x-3)=2x-6 years old.
Now, Jenny is 2x-6+3 years old.
In three years time, Jenny will be 2x-6+3+3=2x years old.
In three years time, Ahmed will be 5(2x)= 10x years old.
Hope this helped you-have a good day bro cya)
3/4 ÷ 1/2 +1 ddgngadgaekyfyuktyjrthrgefwretrytjyktuli;obpnML"NKP?boliykujhtgrfedw
Answers
Answer:
5/2
Step-by-step explanation:
alternative = 2 1/2 , 2.5
Marlee has to find the point that divides the line segment between the points P(-6, 10) and R(2, -4) exactly in half. Marlee states: "the answer is M(-2, 3). Since a midpoint divides a line segment into 2 equal parts, I used the midpoint formula." Is this a logical argument?
Please choose one of these choices.:
A. Yes; using the midpoint formula will determine the middle point of a line segment.
B. No; she should have used the distance formula.
C. No; she should have used the quadratic formula.
D. No; she should have used the slope-intercept formula y = mx + b.
Answers
Answer:
A.
Step-by-step explanation:
If you use the points P(-6,10) and R(2,-4) and put them it the midpoint formula you would get (-2,3) therefore it would be logical to use it
what is equivalent to |14-20|
Answers
Answer:
7/10
Step-by-step explanation:
Help!! (Question in picture)
Answers
Answer:
A, B, C are perfect squares. Their roots are 22, 66, 89.
D is not a perfect square. The root is about 94.995
Step-by-step explanation:
Your calculator can help. The integer is a perfect square if its square root is an integer.
A. √484 = 22 . . . . 484 is a perfect square
B. √4356 = 66 . . . . 4356 is a perfect square
C. √7921 = 89 . . . . 7921 is a perfect square
D. √9024 ≈ 94.9947... . . . . not a perfect square
__
Additional comment
When you compute the square root using the "long division" method, the first step is to divide the radicand into groups of 2 digits. The most significant digit of the root will be the root of the largest square less than the leftmost group.
For example, the first step in finding the root of 4356 is to divide it into the groups 43'56'. The most significant digit of the root will be 6, because 36 = 6² is the largest square less than or equal to 43.
If the number is a perfect square, the least-significant digit of the radicand will be the least-significant digit of the square of the least-significant digit of the root. Here, the least digit of 43'56' is 6, which can only be the least-significant digit of 4² = 16 or 6² = 36. No other single digits have a square ending in 6.
So, if the number 4356 is a perfect square, it must be the square of 64 or 66. It is the square of 66. (If you're familiar with powers of 2, you know 64²=4096.)
which statement is correctly written as a conditional statement
Answers
Answer:
a shape has four sides,or it is a quadrilateral
Write a simplified expression for the perimeter of the triangle.
6x - 1, 5x + 6, 9
Perimeter : __ Units
Answers
Answer:
6973 t u 6hud3w. don't knoow
Answer:
the answer is 11x+14
Step-by-step explanation:
(h[tex]2[/tex] b[tex]\2[/tex])/2
List the sides from shortest to longest in ABC. A 630 50° с B O A. AB,BC , AC о B. BC , AC , AB C. D. AC , BC, AB not enough information O
Help Please!
Answers
Answer:
A. AB, BC, AC
Step-by-step explanation:
The side lengths have the same order (smallest to largest) that their opposite angles have.
Angle B = 180° -50° -63° = 67°
The angles, smallest to largest, are C = 50°, A = 63°, B = 67°.
Their opposite sides (shortest to longest) are AB, BC, AC. (matches choice A)
Find the coordinates of the vertices of the triangle after a rotation
270° counterclockwise about the origin.
Answers
Answer:
it is a
Step-by-step explanation:
The coordinates of the triangle ΔC'D'E' will be (2, 1), (5, -3), and (2, -1). Then the correct option is C.
What is a transformation of a shape?A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
The triangle ΔCDE is shown below.
The triangle ΔC'D'E' after a rotation 270° counterclockwise about the origin.
The triangle ΔCDE and ΔC'D'E' are shown on the graph.
The coordinates of the triangle ΔC'D'E' will be (2, 1), (5, -3), and (2, -1). Then the correct option is C.
The transformation of the triangle is given below.
More about the transformation of the shape link is given below.
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How would I graph this?: 3x + 9y = −18
Answers
Answer:
take value of x as 0 so
9y=-18 y =-18/9
y=-2
(0,-2)
same take y equal 0
HELP ME PLEASE PLEASE ILL MARK BRAINLIEST
Answers
Answer:
its 5
Step-by-step explanation:
I know this because you just need to find the opposite integer and then that make s a zero pair and then you get 5
9-3 divided by 1/3 +1
Answers
Answer:
9-3/ 1/3 +1= 1
Step-by-step explanation:
PEMDAS
Find the next two numbers in the pattern -96, 48, -24, 12,...
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given sequence is a geometric ~
let's find the common ratio (r) first ~
[tex] \dfrac{48}{ - 96} [/tex][tex] - \dfrac{1}{ 2} [/tex]And the first term (a1) of the sequence is ~ -96
let's find the 5th and 6th term.
The value of 5th term is ~
[tex]a_1{(r )}^{n - 1} [/tex][tex] - 96{ \bigg( - \dfrac{1}{2} \bigg) }^{5 - 1} [/tex][tex] - 96 { \bigg( - \dfrac{ 1}{2} \bigg) }^{4} [/tex][tex] - 96 \times \dfrac{1}{16} [/tex][tex] - 6[/tex]The value of 6th term is ~
[tex]a_1{(r )}^{n - 1} [/tex][tex]- 96{ \bigg( - \dfrac{1}{2} \bigg) }^{6 - 1} [/tex][tex]- 96{ \bigg( - \dfrac{1}{2} \bigg) }^{5 } [/tex][tex] - 96 \times - \dfrac{1}{32} [/tex][tex]3[/tex]ticket sales for a local concert totaled $101,244 yesterday. After the ticket window closed today, the cashiers counted 968 tickets sold with a two-day total of $143,836. What is the cost of one concert ticket?
Answers
The cost of one concert ticket is approximately $148.59.
The tickets sales for the local sales is totalled $101, 244 yesterday.
ticket sales yesterday = $101244
He sold 968 tickets with a two-days total of $143, 836 (both yesterday and today)
The cost of one ticket can be calculated below:
cost of one ticket = 143,836 / 968
cost of one ticket = 148.590909091
cost of one ticket ≈ $ 148.59
read more: https://brainly.com/question/15471320?referrer=searchResults
14. Write an equation for the line in slope-intercept form.
Answers
Answer:
y equals -2x plus 8
Step-by-step explanation:
The remainder obtained when x⁴ +15x³ +6x² - 12x + 3 is divided by (x+2) is____.
Answers
Answer:
-53
Step-by-step explanation:
(x+2)
x^4 = -2^4 = 16
15x^3 = 15* (-2)^3 = -120
6x^2 = 6(-2^2) = 24
12x = 12*(-2) = -24
substitute into equation:
x^4 + 15x^3 + 6x^2 - 12x + 3 = 16+ (-120) + 24 - (-24) + 3 = -53
Given Polynomial is x^4 +15x^3 +6x^2 - 12x +3
Divisor = x+2
We know that
Remainder Theorem:
Let P(x) be a polynomial of the degree is greater than or equal to 1 and (x-a) is another linear polynomial,If P(x) is divided by (x-a) then remainder is P(a).
So, P(x) is divided by (x+2) then the remainder is P(-2).
P(-2) =
⇛(-2)^4+15(-2)^3+6(-2)^2-12(-6)+3
⇛ 16+15(-8)+6(4)+72+3
⇛16-120+24+72+3
⇛ 67-120
⇛ -53
P(-2) = -53
Answer:- The remainder is -53.
Also read similar Questions: What is the remainder when the polynomial 7x^2+15x-12 is divided by x+3?..
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The remainder obtained when x^4 + 3x^2 - 2x + 2 is divided by (x + b) is the square of the remainder obtained when x^2 – 3 is divided by (x + b...
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Can someone pls help me!
Answers
Answer:
x is -3
Step-by-step explanation:
Find the median of the first 13 natural numbers
Answers
Answer
116.4k+ views
Hint: We will write the first ten odd natural numbers and then add them to find their sum. We will then substitute the values in the formula of arithmetic mean , a1+a2...+ann, where n is the number of terms and a1,a2,..an are n observations.
Complete step-by-step answer:
We have to find the arithmetic mean of first ten odd natural numbers .
Natural numbers are counting numbers and starts from 1.
Odd numbers are not multiples of 2.
The first ten odd natural numbers are 1,3,5,7,9,11,13,15,17,19.
Arithmetic mean is calculated by adding all the observations by the total number of observations.
Arithmetic mean is given by a1+a2...+ann, where n is the number of terms and a1,a2,..an are n observations.
Therefore, we will calculate the sum of the first ten odd natural numbers.
⇒1+3+5+7+9+11+13+15+17+19⇒100
Now, we will divide this by 10 as there are a total 10 numbers.
10010=10
Hence, the arithmetic mean of first ten odd natural numbers is 10.
Note: Arithmetic mean is also known as average or simply mean. Odd numbers are not divisible by 2. The sum of n odd natural numbers is also given by n2
give the intersection points of y=x^5 and y=x^7
Answers
Step-by-step explanation:
that means both functions deliver the same result for the same x.
therefore
x⁵ = x⁷
one solution is of course, x = 0.
the other(s) we get for x<>0 by dividing both sides by x⁵ :
1 = x²
that means we have 2 more solutions (a quadratic equation has 2 solutions, a cubic equation has 3 solutions,...) :
x = 1
x = -1
so, the intersection points are
for x = 0, we get y = 0⁵ (or 0⁷) = 0
for x = 1, we get y = 1⁵ (or 1⁷) = 1
for x = -1, we get y = (-1)⁵ or (-1)⁷ = -1
(-1, -1)
(0, 0)
(1, 1)
The intersection points of the function y = x⁵ and y = x⁷ are (0, 0) , (1, 1) and (-1 , -1).
What is Intersection point?
The intersection point is the point at which the two lines are cuts to each other.
Given that;
The equations are,
⇒ y = x⁵
⇒ y = x⁷
Now, Solve for intersection point as;
The equations are,
⇒ y = x⁵
⇒ y = x⁷
Equate both equation to each other, we get;
⇒ x⁷ = x⁵
Subtract x⁵ both sides , we get;
⇒ x⁷ - x⁵ = x⁵ - x⁵
⇒ x⁷ - x⁵ = 0
⇒ x⁵ (x² - 1) = 0
This gives two conditions;
⇒ x⁵ = 0
or, ⇒ x² - 1 = 0
Solve both the equations as;
⇒ x⁵ = 0
⇒ x = 0
And, x² - 1 = 0
( x - 1 ) (x + 1) = 0
x = 1 or x = -1
Thus, The values of x are 0 , 1 and -1.
So, The intersection points are;
For x = 0; y = x⁵ = 0
For x = 1; y = x⁵ = 1
For x = -1; y = x⁵ = -1
Thus, The intersection points of the function y = x⁵ and y = x⁷ are (0, 0) , (1, 1) and (-1 , -1).
Learn more about the intersection point visit:
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pls help will mark as brainlist
Answers
Step-by-step explanation:
total angle= 360°.
sides = 360/36 = 10 (decagon).
total angle= 360°
sides = 360/120 = 3(triangle).
hope this helps you to.
Evaluate -24=(-6)-(-18).
Answers
Answer:
−24= 12
Step-by-step explanation:
Answer:
-2=1
Step-by-step explanation:
-24=(-6)-(-18)
-24=(-6)+18
-24=12
-24/12 = 12/12
-2=1
(2 negatives make a positive)
How do you find the quotient in the equation 8÷304
Answers
Answer:
304 divided by 8 in decimal = 38
304 divided by 8 in fraction = 304/8
304 divided by 8 in percentage = 3800%
Step-by-step explanation: You just simply divide.
divide $70 into the ratio of 2:7: 1
Answers
Answer:
$14:$49:$7
Step-by-step explanation:
To solve this question you first add the ratios.
So 2+7+1, which is 10. You then take this number and divide it by 70 to find 1 part. 70 divide by 10 is 7, which represents 1 part.
7 times by 2 is 14, 7 times by 7 is 49 and 7 times by 1 is 7.
Thus you get the ratio, $14:$49:$7.
And if you add 14+49+7, you get 70!
An experiment consists of drawing 1 card from a standard​ 52-card deck. What is the probability of drawing a club​?
Answers
Answer:
25%
Step-by-step explanation:
25%
there are 4 suits, and only 1 is of clubs
1/4 = 25%
Calcula lo solicitado para una persona que gana un salario de $980.000 mensuales:
auxilio de transporte: $106.454
18 dias de trabajo: sueldo /30 * los dias que le quiero pagar
auxilio de transporte: aux tras/30* los dias que le quiero pagar
EPS: 4% sueldo
total a pagar:
ayudaaa porfa es para hoy mismo
Answers
-8, -11, -14, -17, -20, ...
Find the 30th term of this Arithmetic Sequence.
Answers
Answer:
-95
Step-by-step explanation:
formula in finding this is -3
Arithmetic Sequnce:
-8, -11, -14 ,-17,-20,-23,-26,-29,-32,-35,-38,-41,-44,-47,-50,-53,-56,-59,-62,-65,-68,-71,-74,-77,-80,-83,-86,-89,-92,-95.
Carry on learning
Step-by-step explanation:
arithmetic sequence means that every new term is created by adding a certain constant to the previous term.
clearly, we see here, this constant is -3.
and we start with -8.
a1 = -8
a2 = a1 - 3 = -8 - 3 = -11
a3 = a2 - 3 = a1 - 2×3 = -8 - 6 = -14
so, it becomes clear that
an = an-1 - 3 = a1 - (n-1)×3 = -8 - (n-1)×3
so,
a30 = -8 - 29×3 = -95
Simplify 2y+4x=16x +6y
Answers
help pls ! i need to do this and i cannot figure this out
Answers
With them being similar I noticed the bigger triangle is 18 and the second is 12. So the smaller triangle was shrink by 1/3 which give 1he 12 for the bigger triangle you take 1/3 away in which your left with 8.
find the final amount when 10500 is invested at 9% simple interest for 4 years
Answers
Answer:
3780
Step-by-step explanation:
10500 x 9% x 4 divided by 100=3780