Answer:
The side length of each square is 2.12 units.
The length ad width of the rectangle are 2.12 and 4.24 units
Step-by-step explanation:
Let the width of the rectangle is x,
So, the length of the rectangle is 2x.
Area of the rectangle = 9 sq. units
[tex]9 = 2x \times x[/tex] [as area = length x width]
[tex]\Rightarrow 9 = 2x^2[/tex]
[tex]\Rightarrow x^2 = \frac{9}{2}=4.5[/tex]
[tex]\Rightarrow x = 1.5\sqrt{2}=2.12[/tex] units
So, width of the rectangle, x= 2.12 units and
the llengthof the rectangle, 2x= 2 x 2.12= 4.24 units.
After division of the rectangle into two equal square, so, the area of each square will be half of the area of the rectangle.
The area of the rectangle = 9/2=4.5 square units.
Let a be the length of the sides of the square, so
Area [tex]= a^2[/tex]
[tex]\Rightarrow a^2=4.5[/tex]
[tex]\Rightarrow[/tex] [tex]a = 1.5\sqrt{2}=2.121[/tex]
Hence, the side length of each square = 2.12 units.
Enter the values of h and k so that y = x2 + 6x + 10 is in vertex form.
y = (x +
)2 +
Answer:
y = (x + 3)^2 + 1
Step-by-step explanation:
100% on edge
Have a nice day :]
The equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1
What is the vertex form?The vertex form of an equation is a quadratic equation, written in the form of a parabola
The equation is given as:
[tex]y = x^2 + 6x + 10[/tex]
Write out the constant
[tex]y = (x^2 + 6x) + 10[/tex]
Take the coefficient of x
[tex]k = 6[/tex]
Divide by 2
[tex]k/2 = 3[/tex]
Square the expression
[tex](k/2)^2 = 9[/tex]
So, we have:
[tex]y = (x^2 + 6x + 9 - 9) + 10[/tex]
Rewrite as:
[tex]y = (x^2 + 6x + 9) -9+ 10[/tex]
[tex]y = (x^2 + 6x + 9) + 1[/tex]
Express as a perfect square
[tex]y = (x + 3)^2 + 1[/tex]
Hence, the equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1
Read more about vertex forms at:
https://brainly.com/question/26738087
Someone please help me
What are the missing parts that correctly complete the proof?
Given: point P is on the bisector of ABC.
Prove: point P is equidistant from the sides of ABC.
1. BP is the bisector of ABC- given
2. ABP≈CBP- ?
3. BXP and BYP are right angles- given
4. ?- all right angles are congruent
5. BP≈BP- ?
6. BXP≈BYP- ?
7. ?- corresponding parts of congruent triangles are congruent
8. Point P is equidistant from the sides of ABC- definition of equidistant
Answer:
Hello, I just took the test today. I will attach a screenshot. I hope I am not too late answering your question.
This question stumped me too at first. I hope this helps!
The missing parts that correctly complete the proof are;
2) Definition of a bisector
4) ∠BXP ≅ ∠BYP.
5) Reflexive property of congruence.
6) AAS congruence theorem.
7) Corresponding sides of congruent triangles are congruent.
We are given;
Point P is on the bisector of ∠ABC.
2) ∠ABP ≅ ∠CBP; The symbol ≅ means congruent. This means they are equal and it is true because it corresponds with the definition of a bisector means dividing into 2 equal parts.4) All right angles are congruent; Congruent means equal and the two right angles we have in the image are; ∠BXP and ∠BYP. Thus, we can write; ∠BXP ≅ ∠BYP.5) BP ≅ BP; This means that Line BP is congruent and equal to itself and this fulfils the theorem called reflexive property of congruence.6) ΔBXP ≅ ΔBYP; This means ΔBXP is congruent to ΔBYP. Since we have established that ∠BXP ≅ ∠BYP; ∠ABP ≅ ∠CBP; BP ≅ BP. It means we have 2 corresponding angles and one corresponding side equal to each other from the 2 congruent triangles and so we can say this fulfils the AAS congruence theorem.7) PX ≅ PY; This means PX is congruent to PY. From congruence theorem, corresponding sides of congruent triangles are congruent.
Read more at; https://brainly.com/question/11357763
write the equation x+y=6y into standard form
Answer:
x - 5y = 0
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
x + y = 6y ( subtract 6y from both sides )
x - 5y = 0 ← in standard form
Answer: x-5y=0
Step-by-step explanation:
x+y=6y
6y-y
X=5y
X-5y=0
5. Simplify the expression
-4(2x - 3)
ASAP NEED HELP PLS
Answer:
-8x + 12
Step-by-step explanation:
It is asking us to simplify. Therefore, we multiply the terms. -4(2x - 3) =
- 8x + 12
Answer:
-8× + 12
Step-by-step explanation:
-4x (2x - 3) simplify
Apply the distributive property
-4 (2x) - 4 × -3
multiply 2 by -4
-8x -4 × -3
multiply -4 by -3
= -8x + 12
PLEASE HELP I WILL GIVE YOU 40 POINTS!!!! make sure you 100 percent corect!
Answer:
number 1 answer
a saying you have to add all the w's
b saying that you have to add 2w with 2w
c saying it is the simpliyed answer
number 2 answer
a. 2w + 20 + 2w
b. 4w + 20
number 3 we are unable to answer
Step-by-step explanation:
this is the only thing i do not understand about geometry
Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{20}[/tex] ( multiply both sides by 20 )
20 × tan40° = opp , thus
opp = 20 × 0.839 ≈ 16.78 , then
height of traffic light = 16,78 + 5 = 21.78 ft
------------------------------------------------------------------------
Using the tangent ratio in the right triangle
tan42.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{150}{d}[/tex] ( d is the distance between store and bank )
Multiply both sides by d
d × tan42.71° = 150 ( divide both sides by tan42.71° )
d = [tex]\frac{150}{tan42.71}[/tex] = [tex]\frac{150}{0.923}[/tex] = 162.5 m
Write a single transformation that maps ABC onto A' B' C'
9514 1404 393
Answer:
Either of ...
(x, y) ⇒ (-x, -y)Rotation 180° about the originStep-by-step explanation:
There are at least two ways to express the transformation that maps each coordinate to its opposite.
1. reflection across the origin: (x, y) ⇒ (-x,-y)
2. rotation 180° (either direction) about the origin.
Take your pick.
what is the solution to this equation?
A. x=-4
B. x= 100
C. x= 4
D. x=-100
Answer:
D. x = - 100Step-by-step explanation:
[tex]\bold{\dfrac x5=-20}\\{}\ \ ^{\cdot5\qquad\cdot5}\\\bold{\dfrac x5\cdot\dfrac51=-20\cdot5}\\\\\bold{x=-100}[/tex]
A ribbon 9 feet long is cut into two pieces. One piece is 1 foot longer than the other.
What are the lengths of the two pieces?
ILL GIVE BRAINLIST IF RIGHT ASAP
Answer:
Because the side lengths of the triangles are proportional.
Step-by-step explanation:
I took geometry.
Which of the following equations represent linear functions?
y=4(2x)−3
x2+y=1
y=2x√
y=−2
Answer:
y = 4(2x) − 3 y = −2Step-by-step explanation:
Given functions:
y = 4(2x) − 3 x² + y = 1 y = 2√ xy = −2Linear functions have the form of
ax + by + c = 0 or y = mx + bTherefore functions 1. and 4. are linear functions, the other two aren't
how do you evaluate cube roots and square roots( in simple words pls)
Answer:
To evaluate square roots, find the prime factorization. If all the exponents are even, then it is a square root! Just divide the exponents by 2, and multiply them together. To evaluate cube roots, find the prime factorization. If all the exponents are multiples of three, it is a cube root! Just divide the exponents by 3 and multiply them together.
Step-by-step explanation:
The ratio of berries to oranges is 10:1. If there are 25 oranges, how many berries are there?
Answer:
250 berries
Step-by-step explanation:
Berries : Oranges = 10 : 1
Let the number of berries = x
10 : 1 = x : 25
Product of means = 1*x = x
Product of extremes = 10 * 25 = 250
Product of means = product of extremes
x = 250
250 berries
Transversal / cuts lines a, b, c, and d.
Which two lines are parallel?
Answer:
A
Step-by-step explanation:
At the movie theatre, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. On Monday 3,000 customers came to the theatre. How many people received both free items?
Kaelyn has 14 coins I have a value of $1.20. She only has dimes and nickels. How many nickels does Kaelyn have?
Answer:
10 dimes would be $1.00 and 4 nickels is $.20. That equals $1.20 and 14 coins.
Kaelyn has 4 nickels
5(2x-3-4z) Use the distributive property to rewrite the expression above
Answer:
= 10x-15-20z
Step-by-step explanation:
5 x 2=10 add the x to the end
5 x 3=15
5 x 4= 20 add the z to the end
Hope this helps (:
Please help!!! Will mark brainliest if you show your work and the answer!
Answer: Mario
Step-by-step explanation: 8 squared is 64 and 12 squared is 144, 18 squared is 324. According to the Pythagorean theorem, A squared + B squared = C squared but in this case, A squared and B squared doesn't add up to C squared so it is wrong
Of the 1200 responded to a survey, 456 claimed to be worried about money. What is the likelihood that a person selected at random will not be worried about money?
2+2+2-2x4x9x2+2+2+4+4x9+1938x3871
Answer:
7,501,904
I hope this helps!
Answer:
75020220.86 is the answer
Find its notation:
(x +6, y + 3)
Answer: i know the answer but i cant write it all on here
Step-by-step explanation:
Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers. After a winter storm, the depth of the snow on Cherry Street was 10 \text{ cm}10 cm10, start text, space, c, m, end text. But then, the snow started melting at a rate of \dfrac{1}{3} \text{ cm} 3 1 cmstart fraction, 1, divided by, 3, end fraction, start text, space, c, m, end text per hour.
This question is Incomplete
Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers. After a winter storm, the depth of the snow on Cherry Street was 10 cm. But then, the snow started melting at a rate of 1/3 per hour. What was the depth of the snow on Cherry Street after 3 hours?
Answer:
9 cm
Step-by-step explanation:
The depth of snow = 10cm
Rate of melting = 1/3 cm per hour
1 hour = 1/3 cm
3 hours = x cm
Cross Multiply
= 3 hours × 1/3cm = 1 hour × x cm
x cm = 3 hours × 1/3cm/1 hour
x cm = 1 cm
Hence in 3 hours, 1 cm of snow would have melted.
Therefore, the depth of the snow on Cherry Street after 3 hours is
10cm - 1 cm
= 9 cm
he quadrilateral PQRS in the diagram is a parallelogram. Let P'Q'R'S' be the image of PQRS after applying a dilation centered at a point O (not shown) with scale factor 3.
Answer:
P”Q=3PQ
Step-by-step explanation:
What is 5 + 100 + 300,909,786
Answer:
300909891
Step-by-step explanation:
Answer:
300,909,891
Step-by-step explanation:
Do these 3 side lengths form a right triangle? (Yes or no question): 39 ft, 32.5 ft, 48.5 ft
Answer: the answer is no
Step-by-step explanation:
no, it is not a right triangle
Step-by-step explanation:
39 square+32.5 square=48.5 square
1,521+1056.3=2, 352.3
2577.3=2352.3
it's not the same so the result it no
A computer downloads a movie at a constant rate. What does the slope represent?
Answer:
hope it helps you
Step-by-step explanation:
A computer downloads a movie at a constant rate. What does the slope represent? 2000
Download (megabytes)
000-
400
Time (min)
CLEAR
CHECK
Number of minutes for download completion
Downloading speed in megabytes per minute
Unit rate of minutes per megabyte
Unit rate of megabytes per movie
Answer:
Downloading speed in megabytes per minute
Step-by-step explanation:
did on ttm
What is the value of x in the figure below? In this diagram, ΔABD ~ ΔCAD.
Answer:
D
Step-by-step explanation:
The triangles CDA and ADB are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{CD}{AD}[/tex] = [tex]\frac{DA}{DB}[/tex] , substitute values
[tex]\frac{13}{x}[/tex] = [tex]\frac{x}{3}[/tex] ( cross- multiply )
x² = 39 ( take square root of both sides )
x = [tex]\sqrt{39}[/tex] → D
Answer:
D is the answer
Step-by-step explanation:
a What fractions can you find that are equivalent to 2/3?
Answer:
4/6
Step-by-step explanation:
The fraction 4/6 is equal to 2/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (2/3) by any integer number, i.e., multiply by 2, 3, 10, 30... 4/6 is equivalent to 2/3 because 2 x 2 = 4 and 3 x 2 = 6 6/9 is equivalent to 2/3 because 2 x 3 = 6 and 3 x 3 = 9
Choose the best units (liters - l) or (milliliters - ml) to measure each of the following liquids.
The amount of liquid that would fill a test tube
The amount of mouthwash that would fill a travel-sized container
The amount of coffee that would fill a thermos