Answer:
[tex]x = 1 \: or \: x = - 13[/tex]
Step-by-step explanation:
[tex]x^2+12x=13 \\ x^2+12x - 13=0 \\ x^2+13x - x - 13=0 \\ x(x + 13) - 1(x + 13) = 0 \\ (x - 1)(x + 13) = 0 \\ x = 1 \: or \: x = - 13[/tex]
Select each transformation that carries a square onto itself.
A
A rotation of 180 degrees clockwise about one of the square's vertices.
B
A rotation of 90 degrees clockwise about the square's center.
C
A reflection over one of the square's sides.
D
A rotation of 180 degrees clockwise about the square's center.
E
A reflection over one of the square's diagonals.
Answer: E B D
Step-by-step explanation: I did a test
Transformation involves moving a shape from one position to another. The transformation that carries the square onto itself is:
A rotation of 90 degrees clockwise about the square's center. A rotation of 180 degrees clockwise about the square's center. A reflection over one of the square's diagonals.For the square to carry itself onto itself, it must either be rotated or reflected.
For reflection:
It must be reflected across any of its diagonalFor rotations:
It must be rotated through its center, around multiples of 90 degrees (i.e. 90, 180, 270, 360.....)Hence, the correct options are: B, D and E
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Please help!
Let triangle ABC be an isosceles triangle where angle ABC is congruent to angle BCA. Prove that the sides (AB and AC) opposite the congruent base angles of a triangle are congruent.
I constructed line AD as a perpendicular bisector of line BC. Angles BDA and CDA are both 90 degrees because of the construction of a perpendicular bisector. Angles BDA and CDA are congruent because of the transitive property of equality. Line BD is also equal to CD according to the definition of a perpendicular bisector. Triangles ABD and ACD are congruent by the angle side angle postulate. Since the parts of the congruent triangles are congruent, lines AB and AC are congruent.
The sides AB and AC opposite the congruent base angles of a triangle are congruent.
What is an isosceles triangle?An isosceles triangle is a triangle with (at least) two equal sides. A polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of internal angles of a triangle equal to 180°.
For the given situation,
Triangle ABC be an isosceles triangle.
∠ABC ≅ ∠BCA.
The diagram below shows an isosceles triangle ABC with AD is the perpendicular bisector of BC.
The perpendicular bisector AD divides the line BC as BD and DC.
Then, BD = DC.
We get triangles ΔADB and ΔADC,
AD = AD [∵ common side]
⇒ [tex]\angle ADB = \angle ADC=90[/tex]
Thus by ASA theorem,
The two triangles ΔADB and ΔADC are similar.
Then by CPCT theorem,
Side AB ≅ AC.
Therefore the sides AB and AC opposite the congruent base angles of a triangle are congruent.
Hence we can conclude that the sides AB and AC opposite the congruent base angles of a triangle are congruent.
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A fair number cube with the numbers 1, 2, 3, 4, 5, and 6 is rolled. What is the
probability of getting a multiple of 3?
Your answer
Answer:
2/6
Step-by-step explanation:
There are only 2 multiples of 3, and there are only 6 possible outcomes.
Alison’s age is 16 more than half of Sam’s age. Using S to represent Sam’s age, write an expression that represents Alison’s age
Answer:
(s/2)+16=Alison's age
Step-by-step explanation:
Answer:
1/2S + 16.
Step-by-step explanation:
Suppose f(x) = 12x – 1,400 and g(x) = 12x – 1,535. Describe the transformation of the graph of f to the graph of g. Group of answer choices The graph is translated left 135 units. The graph is translated right 135 units. The graph is translated down 135 units. The graph is translated up 135 units.
The transformation of the graph of f to the graph of g is that the graph is translated down 135 units.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given two functions are
f(x) = 12x – 1,400 and
g(x) = 12x – 1,535
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
We need to find the transformation of the graph of f to the graph of g.
The graph is translates down 135 units, because the y-intercept decreased by 135 units from f(x) to g(x).
Hence, the transformation of the graph of f to the graph of g is that the graph is translated down 135 units.
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Which of the following represents the expression (-3) (-3) (-3) (-3). 7.7.7.7.7. 7 using exponents
HELP! A line goes through the points (8,10) and .
What is the slope of the line? Show your work
Write the equation of the line in point-slope form. Show your work
Write the equation of the line in slope-intercept form. Show your work.
I will give y'all 50 points please answer and show your work! Please keep in mind I am not afraid to report someone.
Answer:
slope is [tex]\frac{3}{5}[/tex] ; slope-intercept form is y = [tex]\frac{3}{5}[/tex] x + [tex]\frac{13}{20}[/tex] ; point-slope form is 4 - 10 = [tex]\frac{3}{5}[/tex] (-2 - 8)
Step-by-step explanation:
first, we find the slope by using our points (8,10) and (-2,4)
to do so, you use the expression [tex]\frac{y1 - y2}{x1 - x2\\}[/tex] where (8,10) is point 1 and (-2,4) is point 2
this results in [tex]\frac{10-4}{8--2}[/tex]
10-4 is 6 and 8--2 is 10
which results in the slope of [tex]\frac{3}{5}[/tex]
now that we have the slope, we can solve for the y-intercept using the slope-intercept formula [y = mx +b]
we choose a point [im using (8,10)] and but the values in for x and y in the equation, which gives us 10 = 3/5 (8) + b , and solve for b
to solve for b, we start by dividing both sides by 8, resulting in 5/4 = 3/5 +b
then, subtract 3/5 from 5/4, resulting in 13/20 = b
To check the work, we use slope-intercept formula again [yeyyy]
y = 3/5x + 13/20 ; 4 = 3/5 (-2) + 13/20
i used my calculator to check, it's correct
SO: the slope-intercept form of the equation is y = [tex]\frac{3}{5}[/tex] x + [tex]\frac{13}{20}[/tex]
now we get to do the point-slope formula [yeyyyyyyyyyyy!!!]
point-slope formula is y - y1 = m (x - x1)
the slope [m] is [tex]\frac{3}{5}[/tex]
and we use any given point [im using (8,10) again, but any point should technically be correct] for y1 and x1
inputting our values, we get y - 10 = 3/5 (x - 8)
now, you use any other point for x and y to check the work
4 - 10 = 3/5 (-2 - 8)
-2 - 8 is -10, and 3/5 times -10 is -6, which is equal to 4 - 10
Answer:
3/5
Step-by-step explanation:
did the test
Please help me with this question?
Answer:
Step-by-step explanation:
The answer is A
If it's not then i'm sorry
Answer:
None of the above
Step-by-step explanation:
A. b ≠ 0
B. Solve for b:
-7/(2 b) = (2 b)/7
Cross multiply:
-49 = 4 b^2
-49 = 4 b^2 is equivalent to 4 b^2 = -49:
4 b^2 = -49
Divide both sides by 4:
b^2 = -49/4
Take the square root of both sides:
Answer: b = (7 i)/2 or b = -(7 i)/2
Will give brainiest answer and please give an explanation why?
Answer:
its rotation
because it just rotate one time
Problem number 26 of the Rhind Papyrus says:
Find a quantity such that when it is added to StartFraction 1 Over 4 EndFraction of itself the result is a 15.
The modern day equation that models this problem is x plus StartFraction 1 over 4 EndFraction x equals 15..
What is the solution to the equation?
x = 10
x = 12
x = 15
x = 30
Answer:
X=12 on edg
Step-by-step explanation:
Answer:
I can confirm, the answer is 12.
The Empire State Building is 1,250 feet tall. Maria wants to make a model that has a scale of 1/4 foot = 50 feet. How to tall will her model be?
Answer: 25 Feet.
Step-by-step explanation: 1,250 % 50.
Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010.
Complete question :
Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?
Answer:
$265,720
Step-by-step explanation:
Given that:
State gasoline tax = $0.26 per gallon
Average number of gasoline sold per day = 1,022,000 gallons
. From the availabke information given :
Revenue generated = gasoline tax per gallon multiplied by the average number of gallons sold
= $0.26 * 1,022,000
= $265,720
The average revenue from gasoline tax in 2010 is $265,720.
Calculation of the average revenue:Since the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day
So, here the average revenue should be
= 0.26 of 1,022,000
= $265,720
hence, The average revenue from gasoline tax in 2010 is $265,720.
This is an incomplete question. Please find the complete details below.
Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?
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Mrs. Moeser weights her grades. Tests are worth 60%, quizzes are worth 20%, homework is worth 10% and notebooks are worth 10%. Mike has a quiz average of 87, a homework average of 65, and a notebook average of 70. What does Mike's test average have to be for him to receive a 90 or higher?
Answer:
It has to at least be a 90Step-by-step explanation:
13 = 11 - 4x
Two step equation please help?
The temperature went from -6°F to -11°F. What was the change in temperature?
-5 F
5F
-17°F
17 F
Answer:-5 F
Step-by-step explanation -6 + -5 = -11
The point C is 3/4 of the way from point A (-4,1) to point B (6,5). What are the coordinates of point C?
Answer:
(-1,5)
Step-by-step explanation:
The coordinates of point C are (7/2, 4).
What is midpoint of a line segment?The midpoint of a line segment is given as,
x = (a + c)/2
y = (b + d) / 2
Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.
We have,
C is a point between AB.
Point C is 3/4 of the way from point A (-4,1) to point B (6,5).
This means,
AC : CB = 3 : 1 = m : n
Now,
m = 3
n = 1
(-4, 1) = (a, b)
(6, 5) = (c, d)
C = (x, y)
x = (mc + na)/(m + n)
x = (3 x 6 - 4)/4
x = (18 - 4)/4 = 14/4 = 7/2
y = (md + nb)/(m + n)
y = (15 + 1)/4 = 16/4 = 4
Now,
The coordinates of C is (7/2, 4).
Thus,
C is at the point (7/2, 4).
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Write the equation for the line that goes through (3.18) and has a slope of 2.
Answer:
y=2x+12 or 18=2(3)+12
12=b
hope this helps =3
sorry if im wrong
7t - 4 = 10t + 14 HURRY PLEASE
Answer:
7t-4=10t+14
7t-10t=14+4
-3t=18
-3t/3=18/-3
t=-6
Answer:
Pretty sure it's t = -6
Step-by-step explanation:
7t - 4 = 10t + 14
7t -10t = 14 + 4
-3t = 18
t = -6
In your own words explain to someone how to find the intersection of two sets.
Answer:
in simple terms find the common elements present in both sets
eg sets
A=[1,2,3,4,5]
B=[4,5,7]
AnB=[4,5]
A fuel company supplies fuel in two different-sized tankers. The first tanker can supply x cubic feet of fuel in one trip and the second tanker can
cubic feet of fuel in one trip. The first tanker makes M trips daily and the second taker makes n trips daily. What does
Mx +Ny represent in expression
Mx +NY,
M+N
total fuel, in cubic feet, supplied by the two tankers in one trip
total fuel, in cubic feet, supplied by the two tankers in one day
o
total fuel, in cubic feet, supplied by the two tankers in one week
total fuel, in cubic feet, supplied by the two tankers in one month
Answer:
A. Total fuel, in cubic feet, supplied by the two tankers in one trip.
Step-by-step explanation:
First option: A. Total fuel, in cubic feet, supplied by the two tankers in one trip.
How to round 141.999 to the nearest one
Answer:
It's 142
(✿◠‿◠)
If you have a 5 or more on the tenths place, then you make one go up to the next number.
Answer:
142Step-by-step explanation:
To round 141.999 to the nearest hundredth consider the thousandths’ value of 141.999, which is 9 and equal or more than 5. Therefore, the hundredths value of 141.999 increases by 1 to 0.Group Tens as Hundreds
Write how many tens. Circle groups of 10 tens.
Write how many hundreds. Write the number.
Answer:
Write how many groups of tens there are
Circle groups where there are ten groups of tens
Write how many hundreds there are
Write the total number of tens and hundreds there are
chen can ride his bike 3 miles in 15 minutes. How long will it take chen to ride 18 miles
Answer:
15*6 = 90 minutes (1 hour and 30 minutes)
Step-by-step explanation:
If a family uses 3 gallons of milk every week, how much milk will this family use in four days?
Answer:
Step-by-step explanation:
3 gallons of milk in 1 week means they use 3 gallons of milk in 7 days.
To find out how much milk they use in 1 day, simply divide 3 gallons by 7.
1 day = 3/7 gallons
Then to find how much they use in 4 days, multiply the amount in 1 day by 4.
4 days = 3/7 x 4 = ? Gallons
Answer:
1. 71428571429
Step-by-step explanation:
You divide 3 by 7 then multiply the answer by 4 is what I did not saying it’s completely 100% right though
what's -7 / 8 × 6 / 9
Answer:
-7/12
Step-by-step explanation:
Complete this sentence: The shortest side of a triangle is always opposite the _____
A. second-longest side
B. longest side
C. angle with the smallest measure
D. angle with the greatest measure
By answering the above question, we may state that angle with the smallest measure, the smallest-measured angle
what are angles?An angle is a form in Euclidean geometry made composed of two rays, referred to as the angle's sides, that converge at a centre point known as the angle's vertex. In the plane where they are positioned, two rays may come together to make an angle. A planar collision produces an angle as well. Dihedral angles are what these are known as. A potential arrangement of two rays or lines that share a termination is called an angle in plane geometry. The Latin word "angulus," which means "horn," is where the English word "angle" originates. The intersection of the two rays, often referred to as the angles' sides, is known as the vertex.
angle with the smallest measure
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439.1, 439.09 ,439.6 ,439.001 least to greatesr find sum
Answer:
439.001 439.09 439.1 439.6
Step-by-step explanation:
2. Tand Rare vertical angles. m measure of an angle that is supplementary to
Answer:
Could you please give more information? If and when you do, I'll gladly update my answer. I check my daily notifications!
Step-by-step explanation:
2(4x − 3) = 5x − 3(x − 4)
Answer: x=3
Step-by-step explanation:
I need to find the value of y
ok check this out
its a simple equation from my analysis
given the equation of the vector line 3y-4=28
just an algebraic simplification might help
3y=28+4
3y=32
y=1Answer: y=10.6667
Step-by-step explanation:
y=10.6667