The intersection of the plane X and plane Y is line CQ.
What is plane?A plane is a two-dimensional flat surface in geometry. It has no thickness and goes on forever.
Here, we have two planes, X and Y.
There will always be a line at the intersection of two planes.
The planes should intersect in a straight line as long as they are not parallel.
Let CQ be the extended line of CB.
And here we have line CQ.
Which is the intersection of the planes.
Therefore, line CQ is the intersection of the planes X and Y.
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a) Calculate the area of a triangle that has base 8cm and height
6.5cm State units with your answer.
Answer:
26cm^2
Step-by-step explanation:
Base = 8cm
Height = 6.5cm
[tex]a = \frac{base \: cm \times heightcm}{2} [/tex]
Substitute values into the given equation
[tex]Area = \frac{8 \: cm \times 6.5 \: cm \: }{2} \\ = \frac{52 {cm}^{2} }{?} \\ = 26 \: {cm}^{2} [/tex]
Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5. Which step would be an appropriate first step for Charlotte to take to solve for x? I need help!!!
Answer:
6(2x+1) – 3 = 4x – 5
Firstly multiply
12x + 6 -3 = 4x-5
12x - 4x = -5-3
8x = -8
x =-1
The appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =
Now the given equation is,
6(2x+1) – 3 = 4x – 5
So, appropriate first step to take to solve for x is expanding the brackets so, expanding the brackets we get,
12x + 6 – 3 = 4x – 5
or, 12x + 3 = 4x – 5
Taking alike terms together we get,
12x - 4x = – 5 - 3
Solving we get,
8x = -8
Dividing both side by 8 we get,
x = -1
which is the required solution of the given equation.
Thus, the appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.
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Mrs. Drew wants to build a square sandbox with an area of 361 square feer. What is the total length
of wood Mrs. Drew needs to make the sides of the sandbox?
Answer:
19 feet
Step-by-step explanation:
Area= length × length
361= l²
√361= l
19= l
Answer: 76
Step-by-step explanation:
Use order of Operations to simplify the following: 4² - (28÷7) + 111
Answer:
123
Step-by-step explanation:
If the answer is wrong please let me know so I can fix it!!! Have a Great Day :)
Answer:
123
Step-by-step explanation:
16-4+111
12+111
=123
I will mark you the BRAINLIEST IF U DO THIS WELL
Answer: i think 0<u<425.65
this is considering every player will bought only one uniform for the season
Step-by-step explanation:
Help on this question pls
Answer:
The answer is D, -11 degrees.
Step-by-step explanation:
Angle RQP is total sum of angles RQU, (96 + x) and UQP, (x + 57).
Angle RQP = 131.
(96 + x) + (x + 57) = 131
153 + 2x = 131
2x = -22
x = -11.
Therefore, answer is -11 degrees.
DeShawn her $21 to spend on two pencils after buying them he has $17 how much did each pencil cost
HELP PLEASE TIMED This graph displays a linear function. Interpret the constant rate of change of the relationship. Rate of change = BLANK
Answer:
3
Step-by-step explanation:
The rate of change is just another way of saying slope.
The slope of a line is it’s rise over run.
We can see here that every time x increases by 1, y increases by 3. (This is where the triangle comes in handy).
Rise:3
Run:1
[tex]\frac{3}{1}=3[/tex]
So the rate of change is 3.
Hope this helped!
Answer:
is 3
Step-by-step explanation:
i got
A package of floor tiles contains 22 one-foot-square tiles. Find how many packages
should be bought to cover a square ballroom floor whose side measures 66 feet Note:
Partial packages cannot be bought
Answer:
Step-by-step explanation:
66 times 66 for area is 4356 then 4356 divided by 22 is 217.8 so 218
Identify the geometric mean of 10 and 5/8.
24.08319
Step 1 : Find 1 / N
1 / N = 1 / 5 = 0.2
Step 2 : Find mean
GM = ( 1 * 3 * 5 * 7 * 10 ) 0.2
= ( 1050 ) 0.2
GM= 4.020
1.
What is the solution of the system of equations?
y = 3x - 4
-3y = -9x + 12
Answer:
Step-by-step explanation:
-3(3x - 4) = -9x + 12
-9x + 12 = -9x + 12
0 = 0
infinitely many solutions
What set does negative 4 belong to
Irrational numbers
Rational numbers
Real numbers
Whole numbers
Integers
Write the expression as a decimal number.
5×1+1×
1
10
+8×
1
100
+6×
1
1000
=
Kyle ran 150 feet and 15 seconds how many hours would it take him to run 30 miles
Answer:
b. 4.4 hours
Step-by-step explanation:
We can use the conversion factor 1 mi/h = 22/15 ft/s. The required relation is ...
time = distance/speed
[tex]\dfrac{30\text{ mi}}{\left(\dfrac{150\text{ ft}}{15\text{ s}}\right)}\times\dfrac{\left(\dfrac{22\text{ ft}}{15\text{ s}}\right)}{\left(\dfrac{1\text{ mi}}{1\text{ h}}\right)}=\dfrac{(30)(22)\text{\h}}{150}\text{ h}=4.4\text{ h}[/tex]
Assuming Kyle can keep up the pace for that distance, it would take him 4.4 hours to run 30 miles.
At the fair, Terrell has 47 ride tickets. Each ride on the Ferris wheel costs 6 tickets. After
riding the Ferris wheel as many times as possible, how many tickets will Terrell have left?
Answer:
Terrell has 5 tickets left.
Step-by-step explanation:
Can a ray be bisected?
Such a ray that divides an angle into two equal angles is called an angle bisector.
Likewise, two rays that divide an angle into three congruent angles are called angle trisectors. Figure %:
An angle bisected and trisected On the left, angle ABC is bisected by the ray BD.
Credits to google.
In short, no.
A cube has a surface area of 54 square centimeters, what is the side length?
Answer:
9cm
Step-by-step explanation: i think. ah
Answer:
3 cm³
Step-by-step explanation:
Formula a =√(A/6)
a = edge
A = Surface Area
a = √(54/6) = 3
y=1/4x + 8 what would be the slope and the y-intercept
Answer:
y= 1/4x + 8
comparing with
y= mx + c
slope = 1/4
for y intercept x=0
y=8
Step-by-step explanation:
The slope of the line is 1/4, The y-intercept is 8.
In the equation y = (1/4)x + 8, the coefficient of x is 1/4. This coefficient represents the slope of the line.
Therefore, the slope of the line is 1/4.
The equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.
In this equation, the y-intercept is the value of y when x is 0. By substituting x = 0 into the equation, find the y-intercept.
y = (1/4)(0) + 8
= 0 + 8
= 8
Hence, the y-intercept is 8.
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the ratio of boys to girls in a class is 4 : 5
a) what is the fraction of boys in the class
b) what is the fraction of girls in the class
Answer: 4/9 of the class are boys and 5/9 of the class are girls.
Step-by-step explanation:
There are 9 nine students in total in the class since 4 + 5 = 9.Input the amount of boys and girls there are in the class in the numerator and have 9 as the denominator. 4/9 of the class are boys and 5/9 of the class are girls.What is the prime factorization of 96? 8 · 12 2 · 2 · 2 · 2 · 3 25 · 3 25 · 32
HELP PLEASE
Please find the angle measure . Do not use the degree symbol.
Please classify as acute, obtuse, right, or straight . No capital letters please.
Answer:
acute
Step-by-step explanation:
SOMBODY HELP ME!!!! I NEED HELP
Answer:
-11, -2, 3, 6
-16, -5, 21, 29
Step-by-step explanation:
Answer:
You are almost correct
2. -11, -2, 3, 6
3. -16, -5, 19, 21
Step-by-step explanation:
This is the answer because:
1) Whenever we are comparing integers, the larger the negative number, the smaller value they have, and for positive numbers the larger the number, the more value they have
2) Therefore, the answers would be
2. -11, -2, 2, 6
3. -16, -5, 19, 21
Hope this helps! :D
solve 20x5y=15 for y
Answer:
Step-by-step explanation:
A golf player is trying to make a hole-in-one on the miniature golf green shown. 19.2 ft12.8 ft Imagine that a coordinate grid is placed over the golf green. The golf ball is at (4, 3.2) and the hole is at (15.2, 3.2). The player is going to bank the ball off the side wall of the green at (9.6, 12.8). Part 1 out of 2 Enter an equation for the path of the ball. Enter the parameter a as a fraction in lowest terms. y =
Answer:
- 12/7|x-9.6|+12.8
Step-by-step explanation:
the unit digit of square of the square of the number 42 is
Alexa ran 22.5 miles less than Anthony last week. She ran a total
of 16.2 miles. How many miles did Anthony run?
Help me out
how many strawberries will Maria need if she has three smoothies
Answer:
how many dose she have
Step-by-step explanation:
Answer: 18 strawberries
Maria puts 6 strawberries in each smoothie she makes. She makes 3 smoothies altogether how many strawberries does Maria use in the smoothies? (i’m guessing is the real question)
Well she needs to put 6 strawberries in EACH of the 3 smoothies. The easiest way to find the answer is to multiply! 6 • 3 = 18! So, I hope this helps!
If I pay $10.50 for 3 lbs. of peanuts, what is the unit rate?
Answer:
the answer is 3.5 tell me if you got it right
WILL GIVE BRAINLIEST! Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the origin and (−3, 4).
Answer:
[tex](\frac{17}{18}, \frac{23}{6})[/tex]
Step-by-step explanation:
D1 = [tex]\sqrt{(x+3)^2 + (y-4)^2}[/tex]
D2 = [tex]\sqrt{x^2 + y^2}[/tex]
Then set D1 = D2, and substitute in y = 3x+1
[tex]\sqrt{(x+3)^2 + (3x-3)^2}[/tex] = [tex]\sqrt{x^2 + (3x+1)^2}[/tex]
[tex]x^2 +6x +9 +9x^2 - 18x + 9 = x^2 + 9x^2 + 6x + 1[/tex]
[tex]18x = 17[/tex]
x = 17/18
Then to find y, substitute back in x for y = 3x + 1
[tex]y = \frac{17}{18} * 3 + 1[/tex]
y = 23/6
The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].
Here,
The equation of straight line is y = 3x + 1
And, it is equidistant from the origin and (-3, 4)
We have to find the coordinates of the point on the straight line.
What is the distance between the two points?
The length of the line segment that connects the two given points, is called distance between two points.
Now,
Let the point (x, y) on the line y = 3x + 1.
Distance between the points (x, y) and (0, 0) is;
[tex]D = \sqrt{(x-0)^2+(y-0)^2}[/tex]
[tex]D = \sqrt{x^{2} +y^{2} }[/tex]
And, Distance between the points (x, y) and (-3, 4) is;
[tex]D = \sqrt{(x+3)^2+(y-4)^2}[/tex]
[tex]D = \sqrt{x^{2} +6x+9+9x^{2} -18x+9}[/tex]
Equating both distance we get;
[tex]\sqrt{x^{2} +6x+9+9x^{2} -18x+9} = \sqrt{x^{2} +y^{2} }\\\\ {x^{2} +6x+9+9x^{2} -18x+9} = x^{2} + y^{2} \\\\18x = 17\\\\x = \frac{17}{18}[/tex]
And, To find y put the value of x in y = 3x + 1, we get;
[tex]y = 3 * \frac{17}{18} + 1\\\\y = \frac{23}{6}[/tex]
Hence, The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].
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help me find the answer!!