Given:
Slope of line F = [tex]-\dfrac{6}{3}[/tex]
Slope of line G = [tex]-\dfrac{8}{4}[/tex]
To find:
The conclusion about distinct lines F and G.
Solution:
We have,
Slope of line F = [tex]-\dfrac{6}{3}[/tex]
= [tex]-2[/tex]
Slope of line G = [tex]-\dfrac{8}{4}[/tex]
= [tex]-2[/tex]
The slopes of lines F and G are equal and we know that the slopes of two parallel lines are always equal.
Therefore, the line F and line G are parallel to each other.
what is the value of x ?
What is the equation of the line that passes through the points (–12, –8) and (–17, –16)?
Answer:
firstly find the gradient given by the equation
m=y2-y1/x2-x1
in this case x1 is -12,x2 is -17, y1 is -8 and y2 is-16
m=-16+8/-17+12
=-8/-5 or1.6
then use the equation
y-y1=m(x-x1)
y+8=1.6(x+12)
y+8=1.6x+19.2
y=1.6x+11.2
I hope this helps and sorry if it's wrong
One of the factors of x² + y² + 2xy - z² is ?
Answer:
x + y + z.
Step-by-step explanation:
x² + y² + 2xy - z²
= (x + y)^2 - z^2
This is the difference between 2 squares so the factors are:
(x + y + z) and (a + y - z).
Answer: The factors are (x+y+z) and (x+y-z)
In other words, it factors to (x+y+z)*(x+y-z)
=====================================================
Work Shown:
[tex]x^2 + y^2 + 2xy - z^2\\\\(x^2 + 2xy + y^2) - z^2\\\\(x+y)^2 - z^2\\\\(x+y+z)(x+y-z)\\\\[/tex]
Notes:
In the third step, I used the rule (A+B)^2 = A^2+2AB+B^2. For this, A = x and B = y.In the last step, I used the difference of squares factoring rule A^2-B^2 = (A+B)(A-B). In this case, A = x+y and B = z.A pole that is 2.7 m tall casts a shadow that is 1.56 m long. At the same time , a nearby building casts a shadow that is 38.25 m long. How tall is the building ? Round your answer to the nearest meter.
Set up a ratio of height/ shadow
2.7/1.56 = x/38.25
Cross multiply:
1.56x = 103.275
Divide both sides by 1.56
X = 66.2
Round to nearest meter = 66
Answer: 66 meters
find the probability of picking a red marble and a green marble when 2 marbles are picked (without replacement)from a bag containing 6 red and 6 green marbles.}
p = 6/11.
So we have a bag that contains 6 red marbles and 6 green marbles.
Then the total number of marbles that are in that bag is:
6 + 6 = 12
There are 12 marbles in the bag, and we assume that all marbles have the same probability of being randomly drawn.
Now we draw two marbles, we want to find the probability that one is red and the other is green.
The first marble that we draw does not matter, as we just want the second marble to be of the other color.
So, suppose we draw a green one in the first attempt.
Then in the second draw, we need to get a red one.
The probability of drawing a red one will be equal to the quotient between the red marbles in the bag (6) and the total number of marbles in the bag (12 - 1 = 11, because one green marble was drawn already)
Then the probability is:
p = 6/11.
Notice that would be the exact same case if the first marble was red.
Then we can conclude that the probability of getting two marbles of different colors is:
p = 6/11.
simplify the below equation
[tex]( {8x^{2} y^{3} )( \frac{3}{8}x {y}^{4} )[/tex]
Answer:
3x^3y^7.
Step-by-step explanation:
8 * x^2 * y^3 * 3/8 * x * y^4
= 8 * 3/8 * x^2 * x * y^3 * y^4
= 3x^3y^7.
Answer:
3x^3y^7
Step-by-step explanation:
( 8 x^2 y^3) *( 3/8 x y^4)
Multiply the coefficients
8 * 3/8 = 3
Multiply the x terms
x^2*x = x^3
Multiply the y terms
y^3 * y^4 = y^(3+4) = y^7
Put them back together
3x^3y^7
1. Determine the set of each of the following equations for 0° ≤ x 360° or 0° ≤ t ≤ 360°
a) sin 2 x°= 1/2√2
2. find all the solution in the interval 0° ≤ z ≤ 360° of the following equation
sin 3 z = - 0,42
Please help Me
SOS
Answer:
a).
[tex] \sin(2x) = \frac{1}{2 \sqrt{2} } \\ \\ 2x = { \sin }^{ - 1} ( \frac{1}{2 \sqrt{2} } ) \\ \\ 2x = 45 \degree[/tex]
since sine is in the 2nd quadrant, other angle = 180° - x:
[tex]2x = 45 \degree, \: 135 \degree[/tex]
we must make two rotations since it's a double angle:
[tex]2x = 45 \degree, \: 135\degree, \: 225\degree, \: 315\degree, \: 495\degree, \: 675\degree \\ [/tex]
divide each angle by 2:
[tex]x = 22.5\degree, \: 67.5\degree, \: 112.5\degree, \: 157.5\degree, \: 247.5\degree, \: 337.5\degree \\ [/tex]
Answer = {x: x = 22.5°, 67.5°, 112.5°, 157.5°, 247.5, 337.5°}
b).
[tex] \sin(3z) = - 0.42 \\ 3z = { \sin }^{ - 1} ( - 0.42) [/tex]
since ans is negative, we take the quadrants of cosine and tangent:
[tex]3z = 204.8\degree, \: 335.2\degree [/tex]
we make three rotations:
[tex]3z = 384.8\degree, \: 515.2\degree, \: 695.2\degree, \: 875.2\degree, \: 1055.2\degree, \\ [/tex]
answer is {z : z = 128.3°, 171.7°, 231.7°, 291.7°, 351.7°}
1. When doing polynomial division, the terms should be in order of their exponents, highest
to lowest, with the number last.
Answer:
True
Step-by-step explanation:
The powers must be arranged from highest to lowest for both the numerator and the denominator, so the terms will line up during the subtraction steps.
If a ray bisects a right angle, then each newly formed angle measures 45 degrees.
A) Sometimes
B) Always
C) Never
Answer:
Always
Step-by-step explanation:
Bisects means to divide in half
90/2 = 45
So the angles are each 45 degrees
show that's ABE = EBC
Answer:
abe = ebc
Step-by-step explanation:
bcos both the seperate angels have the same degree
find the ratio between 6 cm and 1.5m
Answer:
6:150
Step-by-step explanation:
If you like my answer mark me brainliest
Answer:
1:25
Step-by-step explanation:
1.5m=150cm
6:150
1:25
the Marked price of a book is rupees 500 if 30% discount is all over there in a loss of rupees hundred is made what is the cost price of the book
Answer:
cost price of book is Rs. 570
find the value (2x +3,y-1=5,3)
Answer:
(5,3)
Step-by-step explanation:
Evaluate (2x+3,y-1=5,3)
Then you will get 5,3
So then your answer will be (5,3)
Heres your answer! Enjoy :D
Answer:
x = 1, y = 4
Step-by-step explanation:
Equating the corresponding coordinates
2x + 3 = 5 ( subtract 3 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
and
y - 1 = 3 ( add 1 to both sides )
y = 4
Answer please be quick
Answer:
B
Step-by-step explanation:
The correct answer is B
Shelly charges $10 per hour for her babysitting servives. Last month Shelly babysat for 15 hours. This month she babysat for n hours.
a. Write an expression using parentheses to describe how much money she made.
b. Given that n=12, evaluate your expression using the distributive property.
Answer:
A. 10(15) + 10n = $ made for babysitting
B. $270
Step-by-step explanation:
B. 10(15) + 10(12)
150 + 120 = $270
At one sitting, a typical doughnut eater consumes 4 doughnuts containing a total of 680 calories and 40 grams of fat. The typical bagel eater consumes exactly one bagel, at 500 calories and one or two grams of fat per sitting, though the addition of spreads can raise calorie and fat content to the four-doughnut range. Thus, as far as total calorie content is concerned, there is very little difference between what a typical doughnut eater and a typical bagel eater each consumes at one sitting.
The argument depends on assuming which one of the following?
(A) The calories and fat in bagels have the same health impact on bagel eaters as the calories and fat in doughnuts have on doughnut eaters.
(B) Most bagel eaters are not fully aware of the calorie and fat content of a bagel.
(C) Eating bagels instead of eating doughnuts provides no real health benefit.
(D) The typical doughnut eater does not add to doughnuts any substances that increase the total caloric intake.
(E) Most typical doughnut eaters are not also bagel eaters.
Answer:
C. Eating bagels instead of eating doughnuts provides no real health benefits.
Step-by-step explanation:
There is no such difference in health benefit due to eating bagels or doughnuts. The bagel eaters are not necessarily doughnut eaters. The calories in bagels is 500 cal per bagel while the calories in doughnuts is 680cal for every 4 doughnuts intake.
Function f is graphed. According to the graph, is f even, odd, or neither?
Answer:
C
Step-by-step explanation:
f is neither even nor odd
simplify : 3p+2p+8-3=15
Answer:
3p+2p+8-3=15
5p+5=15
5p=15-5
5p=10
p=10/5
p=2
have a great dayy.
Answer:
p = 2
Step-by-step explanation:
One is given the following equation:
3p + 2p + 8 - 3 = 15
Combine like terms. In essence, if two number have the same variable, then one can perform operations between their coefficients. If two number have no variables, then these two terms are also like terms. After combing like terms, simplify the expression.
3p + 2p + 8 - 3 = 15
5p + 8 - 3 = 15
5p + 5 = 15
Inverse operations,
5p + 5 = 15
5p = 10
p = 2
PLZ HELP ME ASAP PLZZ
Answer:
helloo thereeee
we do such construction from a making bc arc then from b and c making x just when we need to make
Angle bisector
hope that helps ig :)
The function f(c)=95c+32 is used to convert temperatures from Celsius, c, to Fahrenheit, f(c). What is the temperature in Fahrenheit when it is 22° Celsius? Round your answer to the nearest integer. A 40° B 54° C 72° D 97°
C 72°
Answer:
we have
f(c)=9/5C+32
now
22°C to °F
°C=22°
we have
f(c)=9/5C+32
f(c)=9/5*22+32=71.6≈72
answer is
22°C=72°F
Answer: [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{72^\circ F}[/tex]
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} f(c)=\frac{9}{5} c+32 \ \ in \ \ our \ \ case \\\\\\\\f(22)=\frac{9\cdot 22}{5} +32=39,6+32=7\underline1,6\approx72^\circ F[/tex]
What is the area of the triangle in the diagram?
Answer:
l think the answer is =C for this area of triangle
Please answer this!!
Answer:
BC = 6.8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta =opp /adj
tan C = AB / BC
tan 45 = 6.8/ BC
BC = 6.8 / tan 45
BC = 6.8 / 1
BC = 6.8
Answer: Choice D. 6.8
Step-by-step explanation:
45,45,90 triangles, memorize that the short sides are equal to each other in length and are [tex]\frac{1}{\sqrt{2} }[/tex] the length of the long side.
Which is more likely when tossing two dice: a sum of 3 or a sum of 5?
Answer:
In my opinion, I think a sum of 5.
Step-by-step explanation:
Since you are tossing two dice, you will likely get a higher value than 3.
How many ways can a 3 come up ?
1 - 2
2 - 1
How many ways can a 5 come up ?
1 - 4
2 - 3
3 - 2
4 - 1
There are four ways to roll a 5, but only two ways to roll a 3.
So a sum of 5 is more likely.
If m = 8 and n = 5, then m(n + 3) – n + 1 =
a. 60
b. 58
c. 39
d. 32
please help! Similarity transformations!! I’ll mark brainliest later on :)
1. 1/2
2. Y
3. 1 left 3 ups. (-1, 3)
What is the completely factored form of the expression 16x2 + 8x + 32?
4(4x2 + 2x + 8)
4(12x2 + 4x + 28)
8(2x2 + x + 4)
8x(8x2 + x + 24)
(IM ON EDGE)
A is the answer to your question
To solve this, just distribute the 4 to each of the coefficient and see if it would result in the same coefficients in the original expression
What is the volume of this figure?
Answer:
156.25
Step-by-step explanation:
1/2 × b ×h =12.5
12.5 ×9 =156.25 hope you ace it
If -10x = 5 what is the value of x
Answer:
x = -1/2
Step-by-step explanation:
-10x = 5
Divide both sides by -10.
x = -1/2
Staff
Americans eat 7 billion hot dogs between Memorial Day and Labor Day. If all these hot dogs were laid end to end they
would circle the earth 21.5 times. If the circumference of the Earth is approximately 24,860 miles, and one mile is
5,280 feet, find the length (in inches) of each hot dog. (Round your answer to the nearest tenth)
Answer:
The length of each hot dog is 0.5000 inches.
Step-by-step explanation:
Total number of hot dogs eaten = 7 000 000 000
Circumference of the earth = 24 860 miles
21.5 times the circumference of the Earth = 21.5 x 24 860 miles
= 534490 miles
But,
1 mile = 5280 feet
So that,
534490 miles = X
X = 5280 x 534490
= 287707200 feet
Also,
1 feet = 12 inches
Then,
287707200 feet = Y
Y = 12 x 287707200
= 3452486400 inches
Thus,
the length of each hot dog = [tex]\frac{3452486400}{7000000000}[/tex]
= 0.4932
The length of each hot dog is 0.5000 inches.
Find the missing probability of 3
