Which expression is equivalent to: 2(3x+4)(x-1)(x-3)2 ( 3 x + 4 ) ( x − 1 ) ( x − 3 )?
Right triangle ABC is transformed into right triangle A'B'C what is the scale factor of dilation
Answer:
D. 3
Step-by-step explanation:
The scale factor used to transform right triangle ABC into right triangle A'B'C' is the ratio of any corresponding side length of ∆A'B'C' and ∆ABC.
Thus, using the ratio of side length A'B' to side length A'B', we can get the scale factor as follows:
A'B' = 12 - 6 = 6 units
AB = 4 - 2 = 2 units
Scale factor = A'B' : AB = 6 : 2 = 6/2 = 3
Find the slope of the graph, simplify if needed
Answer:
If u r using rise/run, then it is 6/4
Step-by-step explanation:
What is the slope of (1,2) and (5,2) (remember to use the slope formula y1-y2/x1-x2 and
reduce) 1
Answer:
Zero slope
Step-by-step explanation:
When it is reduced you end up with 0/4 which is a zero slope.
Tell whether the equation 5x + y = 0
represents a direct variation. If so, identify the
constant of variation.
Answer:
The equation 5x + y = 0 represents a direct variation
The constant of variation is k=-5
Step-by-step explanation:
We need to tell if the equation 5x+y=0 represents a direction variation or not.
The equation for direct variation is: [tex]\mathbf{y=kx}[/tex]
where k is constant of variation.
In the given equation:
[tex]5x+y=0\\y=-5x[/tex]
Comparing it with general equation for direct variation [tex]\mathbf{y=kx}[/tex] we get [tex]y=-5x[/tex] so equation represents direct variation.
Value of k is -5
So, the constant of variation is k=-5
find CE
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Step-by-step explanation:
bc.............................................................
Answer:
CE = 35
Step-by-step explanation:
Δ CBD and Δ CAE are similar thus ratios of corresponding sides are equal, that is
[tex]\frac{CB}{CA}[/tex] = [tex]\frac{CD}{CE}[/tex] , substitute values
[tex]\frac{x-5}{x-5+6}[/tex] = [tex]\frac{14}{14+2x + 3}[/tex] , then
[tex]\frac{x-5}{x+1}[/tex] = [tex]\frac{14}{2x +17}[/tex] ( cross- multiply )
(x - 5)(2x + 17) = 14(x + 1) ← distribute both sides
2x² + 7x - 85 = 14x + 14 ( subtract 14x + 14 from both sides )
2x² - 7x - 99 = 0 ← in standard form
(x - 9)(2x + 11) = 0 ← in factored form
quate each factor to zero and solve for x
x - 9 = 0 ⇒ x = 9
2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - [tex]\frac{11}{2}[/tex]
but x > 0 , thus x = 9
Hence
CE = 2x + 17 = 2(9) + 17 = 18 + 17 = 35
the roots of the equation x^2+px+q=0 are -1 and 3. what is the value of q?
Answer:
3
Step-by-step explanation:
The two equal sides of an isosceles triangle is thrice the third side. If the perimeter is 35 cm, then the length of equal sides is __________
Answer:
5
Step-by-step explanation:
First the question said that two equal sides of the isosceles triangles is thrice the third side. This means that the two equal sides is 3x while the third side should be represented as x
Secondly, add the three parts together which = 3x+3x+x =7x
Thirdly, then divide both sides by 7= 7x/7 *35/7
Making x=5
Which of the following is a simplified version of 12 – 2(x + 1) = 5?
-2x + 10 = 5
А
B
2x + 13 = 5
(c
10x + 1 = 5
D
10x + 10 = 5
Answer:
A. -2x+10=5
Step-by-step explanation:
12-2x-2=5
= 10-2x=5
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I think it is B=11/3. If it is wrong, then I can only say sorry.
A movie theater has increased their ticket prices. They are shown below
The graph shows the proportional relationship of the cost of movie tickets. Using the graph determine the constant of proportionality, k.
Answer:
k = 12
Step-by-step explanation:
Given in the question,
Cost of the the movie tickets is proportional to the number of tickets sold.
Cost of movie tickets (C) ∝ number of tickets sold (T)
C ∝ T
C = kT
Here 'k' is a proportionality constant.
Since, line given in the graph passes through a point (5, 60)
60 = k(5)
k = [tex]\frac{60}{5}[/tex]
k = 12
Therefore, value of proportionality constant is 12.
If you have a plank of wood
that is 8' long, and you need
one piece that is 60" and
another that is 22", how much
wood do you have left over?
Answer:
1' 2"
Sorry if its not correct
determine the equation of the line for the given information: the graph has y-intercept (0,6) and contains the point (2,1)
A. y=2.5x+6
B. y=-2.5x+6
C.y=6x+-2.5
D.y=2x+6
Answer:
B is the answer
Step-by-step explanation:
you are given two points (0,6) and (2,1)
the equation is y=mx+b it says that the graph has a y-intercept (0,6) from this point you take the y-value which is also ur b-value in the equation to find m you need to do y2-y1/x2-x1
Find the difference when 6h is subtracted from 2h-4
Answer: -4h-4
Step-by-step explanation: the -4 stays the same, and then it’s just 2h -6h.
adding and subtracting functions g(x) = 2x f (x) = −2x^3 + 2x Find g(x) + f (x)
Answer:
free points thanks
Step-by-step explanation:
One batch of cookies requires the following ingredients:
2 1/3 cups of flour
3/4 of a cup of chocolate chips
2/5 of a cup of chopped almonds
1 1/2 cups of brown sugar
3/8 of a cup of white sugar
1/2 of a teaspoon of salt
Eric wishes to triple the recipe, how much of each ingredient should he use? SELECT ALL THAT APPLY
6 1/3 cups of flour
1 1/8 cups of white sugar
9/12 cups of chocolate chips
6/5 cups of chopped almonds
1/6 of a teaspoon of salt
2 1/2 cups of brown sugar
Answer:
A, C
Step-by-step explanation:
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find the equation 3x-1=11
Answer:
x = 4
Step-by-step explanation:
3x - 1 = 11
3x = 1 + 11
3x = 12
x = 12/3
x = 4
Thus, The value of x is 4
-TheUnknownScientist
Step-by-step explanation:
3x-1=11
3x=12
x=12/3
x=4
Suppose that 63% of people own dogs. If you pick two people at random what is the probability that they both own a dog.
Answer: 3.175%
Step-by-step explanation:
(63/100)(2/1)
Cross multiply = 200
Then divide 200÷63= 3.175
Answer:
39.69%
Step-by-step explanation:
[tex]\frac{63}{100}[/tex] * [tex]\frac{63}{100}[/tex] = .3969
What is the rate of change from the equation?
y = 0.20n + 1.50
Answer:
n=5y-7.5
Step-by-step explanation:
I’ll give brainliest if u help
It’s 19 and 20
Answer:
19. 20 questions total
20. 84.61538461538
Rounded: 85%
Step-by-step explanation:
Using proportion:
a= part
b= whole
a/b=a/b
Answer: Answer for 19 is 20 and answer for 20 is 85%
Hope this helps!
-105=7(1+2n)
A:-8
B-4
C-10
D:-9
What’s the value of n in this equation?
someone help mehhhh the image is the question
9514 1404 393
Answer:
yesLA; ΔBDA ≅ ΔBDCStep-by-step explanation:
Segment BD is a leg of the right triangles. It is congruent to itself (whether or not it is marked). Angles A and C are corresponding acute angles in the right triangles. They are marked as congruent to each other.
The triangles are congruent by the LA theorem, applicable to right triangles. The congruency statement can be written as ...
ΔBDA ≅ ΔBDC
Please help me I will give brainliest
..
...
...
..
Answer:
Answer in short, 1.32 x 10^5 is your answer.
Step-by-step explanation:
Take the first number, or 136000 and subtract it by 4000 (the second number.
Answer:
[tex]1.32*10^5[/tex]
Step-by-step explanation:
[tex]1.36*10^5 = 136,000[/tex]
[tex]4*10^3= 4,000[/tex]
[tex]136,000-4,000= 132,000[/tex]
[tex]1.32*10^5=132,000[/tex]
If f(x) and f -1 (x) are inverse functions of each other and f(x) = 2x+5, what is f -1 (8)?
Answer: 3/2
Step-by-step explanation:
The first one: y=2x+5
X=2y+5.Then solve for y after switching x and y
X-5=2y, X-5/2=y
Since F-1= X-5/ 2, we plug the value of X in
8-5/2, so it should be 3/2
find the circumcentre of A(0,0) B(3,5) and C(4,2).
Answer:
ANSWER
Let A(4,6), B(0,4), C(6,2) be the vertices of the given △ABC.
Let P(x,y) be the circumcentre of △ABC. Then,
PA=PB=PC⟹PA
2
=PB
2
=PC
2
Now, PA
2
=PB
2
(x−4)
2
+(y−6)
2
=(x−0)
2
+(y−4)
2
x
2
+y
2
−8x−12y+52=x
2
+y
2
−8y+16
8x+4y=36
2x+y=9 .......(1)
Again, PB
2
=PC
2
(x−0)
2
+(y−4)
2
=(x−6)
2
+(y−2)
2
x
2
+y
2
−8y+16=x
2
+y
2
−12x−4y+40
12x−4y=24
3x−y=6 .....(2)
Solving equation 1 and 2, we get,
x=3,y=3
Therefore, the coordinates of circumcentre of △ABC are P(3,3).
Circumradius = PA=
(4−3)
2
+(6−3)
2
=
10
units
Hope it is helpful to you
Andrew delivered 680 bottles of milk every evening between 4pm and 9pm. Find his hourly rate of delivery.
Answer:
185 bottles/hour
Step-by-step explanation:
680 bottles of milk/5 hours
divide both sides by 5
186 bottles of milk/hour
During summer vacation, Jaylen read, on average, 5 pages per night. Once he returned to school, he averaged 2 pages per night. What is the percent of decrease in Jaylen's reading?
Answer:
60% decrease
Step-by-step explanation:
you would do 5-2=3 ,
5/3
and then multiply by 100
Question 2
Maxine works 8 hours at a rate of $16 per hour Which expression could NOT be used to find her total earnings in dollars?
А
8* (106)
B
8 (20 – 4)
С
8 * (10 + 6)
D
8° (8 + 8)
What is the slope of that equations and what is the y-intercept?
Graph this system of equations.
1.15x + 0.65y = 8.90
x − 3y = -15
Answer:
We have the equations:
1.15x + 0.65y = 8.90
and
x − 3y = -15
First, let's write them in the slope-intercept form:
The first one will be:
y = -(1.15/0.65)*x + 8.90/0.65
The second:
y = (1/3)*x + 15/3 = (1/3)*x + 5.
then our system is:
y = -(1.15/0.65)*x + 8.90/0.65
y = (1/3)*x + 5.
To graph each line, you can just evaluate the line in two points (for x = 0 and x = 1, for example) and then locate those points in the coordinate axis, and then draw a line that connects them.
For example with the second line:
y(0) = (1/3)*0 + 5 = 5
then we have the point (0,5)
and
y(3) = (1/3)*3 + 5 = 8
Then we have the point (3,8)
With the first equation may be a little harder, as the coefficients are not whole numbers, we can rewrite it as:
y = (1.15/0.65)*x + 8.90/0.65 = (115/65)*x + (890/65)
Where i multiplied and divided by 100 the numerators and denominators in the right side, so now is easier to work with it.
The points you can use are:
y(0) = (115/65)*0 + (890/65) = 13.7
the point is (0, 13.7)
and:
y(1) = (115/65)*1 + (890/65) = 15.5
The point is (1, 15.5)
Below you can see the graphs of both functions:
blue: y = -(1.15/0.65)*x + 8.90/0.65
red: y = (1/3)*x + 5
The answer is in the picture below!