The coordinates of three vertices of a square are (1, –1), (6, –1), and (6, 4). Fill in each blank to make the statement true. What is the area of the square?
Answer:
25units²Step-by-step explanation:
Given the coordinates of three vertices of a square as A(1, –1), B(6, –1), and C(6, 4). The area of the square is expressed as;
A = L² where;
L is the one of the side length of the square.
Note that all the sides of a square are equal;
To get one of the side length, we will find the distance between any two of the coordinates points. Using the coordinates A(1, –1), B(6, –1)
L = AB = √(x2-x1)²+(y2-y1)²
L = √(6-1)²+(-1-(-1))²
L = √5²+0²
L = √25
L = 5
Area of the square = 5²
Area of the square = 25units²
Hence the area of the square is 25units²
Layla has a toy car collection of 400 toy cars. She keeps 85% of the toy cars on her wall. How many toy cars does she keep on her wall?
Answer:
340 cars on her wall
( Brainlyst will help my rank, thanks! <3 )
Write an informal proof to show triangles ABC and DEF are similar.
A.) 12
B.) 10
C.) 6
D.) 8
Answer:
a
Step-by-step explanation:
Suppose that y is inversely proportional to the 4th power of x, and that y=15 when x=5. What is y when x=7? Round your answer to two decimal places if necessary.
Answer:
y = 3.91 when x =7
Step-by-step explanation:
y = k / x⁴
Where,
k = constant of proportionality
y=15 when x=5
y = k / x⁴
15 = k / 5⁴
Cross product
15 × 5⁴ = k
15 × 625 = k
9,375 = k
What is y when x=7?
y = k / x⁴
= 9,375 / 7⁴
= 9,375 / 2401
= 3.9046230737192
Approximately
y = 3.91
PLS HELP!!! find the length of side a
Answer:
2
Step-by-step explanation:
the slope is always 1/2 so 5-3
Answer:
a = 4
Step-by-step explanation:
a = ?
b = 5
c = 3
a = √ (c^2 - b^2)
a = √ (3^2 - 5^2)
a = √ 25 - 9
a = √ 16
a = 4
Solving Multi-Step
1. List the steps in order) require
3(z + 5) = 12
I
a)
Answer:
z = -1
Step-by-step explanation:
3(z + 5) = 12
Step 1: Divide both sides by 3.
z + 5 = 4
Step 2: Subtract 5 from both sides.
z = -1
HELP!!BRAINLIEST AND 10 POINTS
Answer:
A
Step-by-step explanation:
I think that's da answer I hope it help ya
5/8 divided by 1 and 1/3?
Answer:
15/32
Step-by-step explanation:
First convert 1 1/3 to improper fraction:
1 1/3 = 4/3
5/8 divided by 4/3 is same as...
[tex]\frac{5}{8} * \frac{3}{4} = \frac{15}{32}[/tex]
YALL B) HELP ME NOOOOWWWWWWWW!
Answer:
A) 0."36"
B)It is a repeating decimal because .36 is repeated indefinitely. Terminating decimals contains a finite number of digits after the decimal point.
Step-by-step explanation:
Jimmy saw a tent which was $15 more than twice the cost of an air mattress. The total of both was $210. What was the cost of the tent and the air mattress?
Answer:
Tent: $145
Mattress: $65
Step-by-step explanation:
Tent: 2x + 15
Mattress: x
2x + 15 + x = 210
3x + 15 = 210
3x = 195
x = 65
Tent: 2x + 15 = 2(65) + 15 = 145
Mattress: x = 65
im doing an escape do you think you can help me with the riddle? Who Am I?
I am a member of the Patuxet tribe. I taught the English settlers how to survive the harsh American wilderness. It helped that I spoke the English language. So, I could act as an interpreter between the pilgrims and the native americans. My people taught them how to find medicinal plants, build wigwams, and use fish for fertilizer. Most people know me by ______, but I am also known as Tisquantum.
Answer:
Squanto
Step-by-step explanation:
They were known as Tisquantum, and knew how to speak English. They were essentially the translator between the native americans and the English
Do these pairs of values (x and y) represent two quantities that are
proportional?
ху
3 12
520
624
9 36
Answer:
yes
Step-by-step explanation:
Each value of x multiplied by 4 gives the corresponding value of y, that is
3 × 4 = 12
5 × 4 = 20
6 × 4 = 24
9 × 4 = 36
Thus x and y are proportional and the constant of proportion is 4
Daniel has $125 in his bank account. He saves $40 each week from his allowance. He needs a total of $600 in order to buy a PS5. Complete the equation, and determine how many weeks it will take him to save up enough money.
[tex] \LARGE{ \underline{\underline{ \tt{Required \: answer:}}}}[/tex]
We have,
Initial amount = $125 (Constant)Per week savings = $40Amount to be collected for buying a PS5 = $600What to do?
We need to frame an equation with variable determining the no. of weeks it will take him to save up the money.Here's how to do?
Let the no. of weeks be x. Then,
Amount collected by savings = $40x
So, The equation will be:
➝ 125 + 40x = 600
Note:
Don't forget to add the unit i.e. dollars '$' here.what does rise over run mean in math?
Answer:The slope of a line measures the steepness of the line. Most of you are probably familiar with associating slope with "rise over run". Rise means how many units you move up or down from point to point. Run means how far left or right you move from point to point. On the graph, that would mean a change of x values.
Step-by-step explanation:
evaluate the polynomial for the given values of x and y
5x^2y+3xy^2+10y^3; for x= 2 and y= -1
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What is the Value of the angle AEX
Answer:
52
Step-by-step explanation:
I take it that x is somewhere near the end of the diagonal line, so you want to know the value of 3x + 1???
We know that (3x + 1) + (2x + 4) = 90 degrees. That's because AEF = 90 degrees.
So begin by removing the brackets.
3x + 1 + 2x + 4 = 90 Combine the like terms.
5x + 5 =90 Subtract 5 from both sides.
5x + 5 - 5 = 90 - 5 Combine
5x = 85 Divide by 5
x = 17
3x + 1 = 3*17 + 1 = 51 + 1 = 52
The centroid cuts each median into two segments. The shorter segment is _ _ _ _ the length of the entire segment.
Answer:
Step-by-step explanation:
One third
The centroid of a triangle divides each median.
The shorter segment is 1/3 and the length of the entire segment is 1
The centroid of a triangle divides the median in the following ratio
[tex]\mathbf{Ratio = 2 : 1}[/tex]
The fraction of the shorter segment is:
[tex]\mathbf{Short = \frac{1}{1 + 2}}[/tex]
[tex]\mathbf{Short = \frac{1}{3}}[/tex]
Hence, the shorter segment is 1/3, while the entire segment is 1.
Read more about centroids at:
https://brainly.com/question/11891965
If x = 14, which equation is true?
A.3 ( 20 − x ) = 44
B.3 ( 12 − x ) = 6
C.2 ( x − 3 ) = 22
D.2 x − 3 = 22
Answer:
C. 2 ( x − 3 ) = 22Step-by-step explanation:
if x = 14
2 ( x − 3 ) = 22
2 (14 - 3) = 22
2 (11) = 22
22 = 22
therefore, the answer is C.
can someone help me out wit this question
Answer:
60 degrees
Step-by-step explanation:
How do you solve this?
Answer:
[tex] x = 18 [/tex]
[tex] y = 7.5 [/tex]
[tex] z = 7 [/tex]
Step-by-step explanation:
✍️[tex] (8x - 7) + (3x - 11) = 180 [/tex] (consecutive interior angles are supplementary)
Solve for x
[tex] 8x - 7 + 3x - 11 = 180 [/tex]
Add like terms
[tex] 11x - 18 = 180 [/tex]
Add 18 to both sides
[tex] 11x = 180 + 18 [/tex]
[tex] 11x = 198 [/tex]
Divide both sides by 11
✅[tex] x = 18 [/tex]
✍️[tex] (2y + 23) = (4y + 8) [/tex] (alternate interior angles are congruent)
Solve for y
[tex] 2y + 23 = 4y + 8 [/tex]
Collect like terms
[tex] 23 - 8 = 4y - 2y [/tex]
[tex] 15 = 2y [/tex]
Divide both sides by 2
✅y = 7.5
✍️[tex] (2y + 23) + (3z^2 - 5) = 180 [/tex] (linear pair angles)
Plug in the value of y
[tex] (2(7.5) + 23) + (3z^2 - 5) = 180 [/tex]
[tex] (15 + 23) + (3z^2 - 5) = 180 [/tex]
[tex] 38 + 3z^2 - 5 = 180 [/tex]
Add like terms
[tex] 3z^2 + 33 = 180 [/tex]
Subtract 33 from each side
[tex] 3z^2 = 180 - 33 [/tex]
[tex] 3z^2 = 147 [/tex]
Divide both sides by 3
[tex] z^2 = \frac{147}{3} [/tex]
[tex] z^2 = 49 [/tex]
Square both sides
[tex] \sqrt{z^2} = \sqrt{49} [/tex]
[tex] z = 7 [/tex]
1. Explain why 3(x + 4) = 3(x - 5) has no solution.
Answer:
There is no solution because they are not equal
Step-by-step explanation:
3(x + 4) = 3(x - 5) cannot simply happen, as they are not equal.
Hope this helps!
Convert 15°C to Fahrenheit. Use the formula F = C + 32
A. 33°F
B. 27°F
C. 85°F
D. 59°F
Using the equation given, F = 15 + 32 which equals 47, so I don't see how any of the choices are accurate, but if I had used the proper equation, I would get 59 Farenheit or answer D!
Hope this helps, if not, comment below please!!!
Let the number of games, `x`, and the number of rides, `y`
For `x+4y=28`, what is the slope of the graph?
-1/4 or -0.24 because you subtract x to get it away from the y ... y = mx + b (this is the forumla you try to get it at) .... then you divide by four and that will leave you with -1/4 ... complete formula answer y = -1/4x + 7
Passes through (-6,-1) and is parallel to y=-2/3x+1
Answer:
y=-2/3x-6
Step-by-step explanation:
y=mx+b
m=-2/3
y-y=m(x-x1)
y-(-1)=-2/3(x-(-6))
y+1=-2/3x-4
-1 -1
y=-2/3x-5
Answer:
[tex]y=-\frac{2}{3}x -5[/tex]
Step-by-step explanation:
Slope-intercept form:
[tex]y=mx+b\\\\y=(slope)x+(y-intercept)[/tex]
m is the slopeb is the y-interceptx and y are corresponding coordinate points (x,y)When two lines are parallel, their slopes are the same. Take the slope from the given equation and insert into the new:
[tex]y=-\frac{2}{3} x+b[/tex]
Now find the y-intercept. For this, insert the given coordinate points and the slope into the equation to solve for b:
[tex](-6_{x},-1_{y})\\\\-1=-\frac{2}{3} (-6)+b[/tex]
Simplify multiplication using the rule [tex]\frac{a}{b} *c=\frac{ac}{b}[/tex] :
[tex]-1=-\frac{2(-6)}{3} +b\\\\-1=-\frac{-12}{3} +b\\\\-1=\frac{12}{3} +b\\\\-1=4+b[/tex]
Use inverse operations to isolate the variable. Subtract 4 from both sides:
[tex]-1-4=4-4+b\\\\-5=b[/tex]
The y-intercept is -5. Insert:
[tex]y=-\frac{2}{3}x -5[/tex]
:Done
(please i need help)
Tiya flipped a coin 40 times. The coin landed heads up 16 times and tails up 24 times.
Part A: Based on the results, what is the experimental probability of the coin landing heads up? Show your work. (5 points)
Part B: What is the theoretical probability of the coin landing heads up? Show your work
Answer:
A) 16/40
B) P(H)= 0.4
Step-by-step explanation:
A) 16+24=40 is your denominator.
16 times it landed heads up, so 16/40
B) 16/40 as decimal (16 divided by 40) = 0.4
P= probability
(h)= (Heads up)
what is the slope of the line, (-6, -8) and (2, 8)?
Answer:
Your slope would be 2.
Step-by-step explanation:
To find the slope, you would need to use the formula: y2-y1/x2-x1
In this case, the equation would be 8-(-8)/2-(-6)
8 - (-8) = 16
2 - (-6) = 8
16/8 = 2
Slope: 2
then nth term of a sequence is 10-4n list the first 3 terms
The required first 3 terms of the sequence are 6, 2. -2.
Given that,
Then nth term of a sequence is 10-4n list the first 3 terms is to be determined.
Arithmetic progression is the series of numbers that have common differences between adjacent values
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
Nth term = 10 - 4n
For the first term, put n = 1
1 st term = 10 - 4 = 6
For the second term put n = 2
2nd = 10 - 8 = 2
For the third term put n = 3
3rd = 10 - 12 = -2
Thus, the required first 3 terms of the sequence are 6, 2. -2.
Learn more about arithmetic progression here: https://brainly.com/question/20334860
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The ratio of boys to girls in Ms. Alper’s math classes is 5 ∶ 7. If there are 60 boys in all of her classes, how many girls are there ?
Plz help im so dumb ;-;
Answer:
I think it's 80 I'm sorry if I'm wrong
Answer:
the person above is incorrect I think it may or may not be 75
Factor this polynomial expression.
x2 - 25
O A. (x - 25)(x - 25)
O B. (x+ 5)(x - 5)
C. (x - 5)(x - 5)
O D. (x+25)(x - 25)
Answer:
(x+5)(x-5)
Step-by-step explanation:
x^2 - 25
This can be written as
x^2 - 5^2
We know that this is the difference of squares
a^2 - b^2 = ( a+b) ( a-b)
x^2 - 5^2 = (x+5)(x-5)
Answer:
B. (x + 5)(x - 5)
Step-by-step explanation:
Factor the following:
[tex] \longrightarrow [/tex] x² - 25
25 = 5²:
[tex] \longrightarrow [/tex] x² - 5²
Factor the difference of two squares.
a² - b² = (a + b)(a - b):
[tex] \longrightarrow [/tex] (x + 5)(x - 5)
£3 will buy 5 meals for one person.
(a) work out the cost of one meals
give an answer in pence
I will mark brainest for the working out pls and it has to be the correct answer and working out.
I need a answer asap (as soon as possible)