Answers and Step-by-step explanations:
We need to use FOIL (first, outer, inner, last) to solve this.
The first terms of each of the two expressions (2x - 1) and (2x + 6) are 2x and 2x. Multiply these together: 2x * 2x = 4x².
The outer terms are 2x and 6, respectively, and their product is 2x * 6 = 12x.
The inner terms are -1 and 2x, respectively, and their product is -1 * 2x = -2x.
The last terms are -1 and 6, respectively, and their product is -1 * 6 = -6.
Add these together:
4x² + 12x + (-2x) + (-6) = 4x² + 10x - 6
Let's see if this is equal to (1x - 2) * (6 + 2x) by expanding this one using FOIL as well:
The first terms are 1x and 6, respectively, and their product is 1x * 6 = 6x.
The outer terms are 1x and 2x, respectively, and their product is 1x * 2x = 2x².
The inner terms are -2 and 6, respectively, and their product is -2 * 6 = -12.
The last terms are -2 and 2x, respectively, and their product is -2 * 2x = -4x.
Add all these up:
6x + 2x² + (-12) + (-4x) = 2x² + 2x - 12
Clearly, 2x² + 2x - 12 is NOT the same as 4x² + 10x - 6, so (2x - 1)(2x + 6) is not equal to (x - 2)(6 + 2x).
Hope this helps!
Answer:
4x² + 10x - 6
Not equal
Step-by-step explanation:
(2x - 1)(2x + 6)
4x² - 2x + 12x - 6
4x² + 10x - 6
(1x - 2)(6 + 2x)
6x - 12 + 2x² - 4x
2x² + 2x - 12
Not equal
Find the value of X.
Answer:
3.96ft
Step-by-step explanation:3.3/5 is .66 so that is the scale factor and multiply 6 by .66 gets you 3.96 hope this helps god bless
Select the correct answer. Which rule can you use to find the nth term of an arithmetic sequence in which the common difference is 5 and a12 = 63?
A. `a_(n)=3+5n`
B. `a_(n)=3-5n`
C. `a_(n)=13+5n`
D. `a_(n)=13-5n`
How to solve 17 = x/2 + 1
Answer:
x = 32
Step-by-step explanation:
17 = x/2 + 1
17 - 1 = x/2
16 = x/2
16 / 1/2 = x
16 * 2/1 = x
32 = x
Answer:
x = 32
Step-by-step explanation:
to solve for this expression 17 = x/2 + 1 , we need to collect the like terms and then evaluate for the value of x.
solution
17 = x/2 + 1
17 - 1 = x/2
16 = x/2
using cross multiplication method
x = 16 x 2
x = 32
what is the slope of the ordered pair (19, -2) (-11, 10)
Answer:
-0.4
Step-by-step explanation:
first you subtract both x values (19 - (-11)) or (19+11)
then subtract both y values (-2 - 10)
which would give you -12 over 30
-12/30 is -0.4
Anyone know how to do this?! Help!
Given:
Vertical angles.
One angle is 85°.
To find:
The measure of ∠1, ∠2 and ∠3.
Solution:
∠2 and 85° are vertically opposite angles and ∠1 and ∠3 are vertically opposite angles.
Vertical angle theorem:
If two lines are intersecting, then the vertically opposite angles are congruent.
⇒ m∠2 = 85°
Sum of the adjacent angles in a straight line = 180°
m∠2 + m∠3 = 180°
85° + m∠3 = 180°
Subtract 85° from both sides.
85° + m∠3 - 85° = 180° - 85°
m∠3 = 95°
By vertical angle theorem:
⇒ m∠1 = m∠3
⇒ m∠1 = 95°
Therefore m∠1 = 95°, m∠2 = 85° and m∠3 = 95°.
What is 14/24 ad a percent
Answer:
58.33%
Step-by-step explanation:
To turn a fraction into a percent all you need to do is multiply the numerator by the denominator
what is the area of the base in the figure below? A cylinder with height 12and diameter 6
Answer:
[tex]9\pi[/tex]
Step-by-step explanation:
I don't see a picture, so I'm assuming the cylinder looks like a soup can sitting on a table, resting on it's circular base.
The base of the cylinder is a circle, so you need to find the area of a circle with diameter 6. Use the formula
[tex]A=\pi r^2[/tex] where r is the radius of the cylinder. If the diameter is 6, then the radius is 3.
[tex]A=\pi (3)^2 = 9\pi[/tex]
WILL MARK BRAINLIEST
what does it mean for a point to be a solution to a linear equation?
For example, if I say, (2,5) is a solution to the equation y= 2x+3, how could you check my claim?
y=mx+b
it is pretty simple, the m stays the same and is the x, so (2,_) and then the b is the slope so you add the b and m together to get 5 (2,5)
Find the area of the polygon, read the info, plz ANWSER will mark brainest!!
(Also plz explain what u did)
jamal has 2 straight sticks with the length of 20cm and 18cm. Jamal searches for a third stick so that he can form a triangle. Which length of stick will allow jamal to make a triangle.
Solution:
Given that,
Jamal has 2 straight sticks with the length of 20 cm and 18 cm
Jamal searches for a third stick so that he can form a triangle
According to triangle inequality theorem,
Triangle inequality theorem states that sum of length of two sides of triangle should always be greater than measure of third side
Let the length of unknown side be "x"
Case 1:
Let 20 cm be the length of third side
Then,
x + 18 > 20
x > 20 - 18
x > 2
Case 2:
Let "x" cm be the length of third side
18 + 20 > x
38 > x
x < 38
This means that length of third side of triangle should be greater than 2 and less than 38
Final answer:
Jamal can use any third stick with a length greater than 2 cm and less than 38 cm to form a triangle with his existing sticks of 20 cm and 18 cm, according to the triangle inequality theorem.
Explanation:
To determine the length of a third stick that Jamal can use to form a triangle with the other two sticks, one must apply the triangle inequality theorem. The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In Jamal's case, the sticks have lengths of 20 cm and 18 cm. Therefore, the length of the third stick must be more than the difference of the two sticks and less than their sum to form a triangle.
So the third stick must be longer than 2 cm (20 cm - 18 cm) and shorter than 38 cm (20 cm + 18 cm). To summarize:
The third stick must be > 2 cm.The third stick must be < 38 cm.So any stick length between > 2 cm and < 38 cm will allow Jamal to create a triangle with the other two sticks.
Circle O is inscribed in the given triangle. What is the perimeter of the triangle?
Answer:
44 units
Step-by-step explanation:
just answered on edg 2020
When a circle is inscribed in a triangle, its radius is equal to the distances between the points of tangency on each side and the center of the circle.
Explanation:When a circle is inscribed in a triangle, it is tangent to all three sides of the triangle.
The perimeter of the triangle can be found by adding the lengths of the three sides.
Since the circle is inscribed in the triangle, the lengths of the sides of the triangle are equal to the distances between the points of tangency on each side and the center of the circle.
Therefore, the perimeter of the triangle is equal to the sum of these distances.
Learn more about Circle inscribed in a triangle here:https://brainly.com/question/35804112
#SPJ2
Alona has some wood cutouts of two different shapes - square and triangle. Each square cutout is 6 mm thick and each triangular cutout is 8 mm thick. Both cutouts have the same area of cross-section. Alona makes an upright stack using 24 square cutouts. She is making an oblique stack using the triangular cutouts. How many triangular cutouts should she put in the oblique stack so that both stacks have the same volume?
Answer:
18
Step-by-step explanation:
Volume is a product of cross-sectional area and height and relresented as V=Ah where V is volume, A is cross-sectional area and h is height.
For the square, since each has a thickness of 6mm then for 24 of them the height will be 24*6=144 mm
Since the volume and cross sectional area of the triangle should be the same, then the height should also be the same.
Since for the triangle each has a thickness of 8mm then the number requred to achieve a height of 144 mm will be 144/8=18 stacks
To find the number of triangular cutouts needed for the oblique stack to have the same volume as the upright stack, we need to compare the volumes of the two shapes. The volume of a square cutout is 6mm × (the area of the square cross-section), while the volume of a triangular cutout is 8mm × (the area of the triangular cross-section).
Explanation:To find the number of triangular cutouts needed for the oblique stack to have the same volume as the upright stack, we need to compare the volumes of the two shapes. The volume of a square cutout is 6mm × (the area of the square cross-section), while the volume of a triangular cutout is 8mm × (the area of the triangular cross-section).
Since both stacks have the same area of cross-section, we can set up the equation 6mm × (area of a square) × 24 = 8mm × (area of a triangle) × (number of triangular cutouts). By finding the ratio of the volumes and solving for the number of triangular cutouts, we can determine the number needed.
Learn more about Comparing volumes here:https://brainly.com/question/8879205
#SPJ12
can someone give me the answer for this and maybe explain it?
Answer:
5x=85
9x=153
Step-by-step explanation:
540-139-71-92-9x-5x=0
238-14x=0
238=14x
17=x
5x=85
9x=153
what is the volume of a right circular with a radius of 6 m and a height of 9 m
Answer:
324 pi m^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2h where r is the radius and h is the height
V = pi (6)^2 9
V = pi (36)9
V =324 pi m^3
What is the arc measure of DBC in
degrees?
In this context:
[tex]\boxed{\angle DBC=x=60^{\circ}}[/tex]
Explanation:Hello! Remember to write complete questions in order to get good and exact answers. Here the figure is missing so I'll assume the arc measure of DBC is given in radian and you want it in degrees. By definition, an arc's measure is the measure of its central angle being a central angle an angle between two radii in a circle. Suppose that angle measures:
[tex]\angle DBC=\frac{\pi}{3}\ radian \\ \\ \\ So, \ by \ rule \ of \ three: \\\\ \\ \pi \ radian \rightarrow 180 \ degrees \\ \\ \pi/3 \ radian \rightarrow x \ degrees \\ \\ \\ x =\frac{180\pi}{3\pi}=60^{\circ} \\ \\ \\ Finally: \\ \\ \boxed{\angle DBC=x=60^{\circ}}[/tex]
2. Husein used a ladder to climb up a tree. The
ladder which has its foot 2 m from the
bottom of the tree touches the tree at a
height of 7 m. How long is the ladder?
Cassie is designing a wheelchair ramp for a school. her original design had a height of 3 feet and a base of 24 feet. Her new design must have a height of 3 feet and height-to-base ratio of 1:12.
How long will the base ramp be in the new design?
A 6 feet
B 12 feet
C 30 feet
D 36 feet
Answer:
D. 36 feet
Step-by-step explanation:
if Cassie's new ratio is 1:12 height-to-base, and her height is 3, plug that information into the ratio.
1:12 = 3:b
to go from 1 to 3, you multiply 1 by 3, so you will need to multiply 12 by 3 to get the new base.
3x12 = 36
D. 36 feet
I need the answer for that ^
so the right answer is of option D.
Hope this will help u...
I need the help of identifying the constant term and numerical coefficient in this expression
4+2n
Answer:
constant term:n
numerical coefficient:2
Step-by-step explanation:
a numerical coefficient is a fixed number that is multiplied to a variable. So in the expression, the numerical coefficient would be 2
A constant term is something in an algebraic expression that does not change which is n
Jodie ran at an average spared of 6 km/h for 10 minutes. How far did she run in km
Answer: 1km
Step-by-step explanation:
Since she runs 6km per hour you have to divide your varibles
Answer:
60km
Step-by-step explanation:
D=SxT
D=6x10=60
One way to notate the complement of an event A is not A. For instance, suppose that P(even) represents the probability of rolling an even number on a number cube. Then, P(not even) represents the probability of rolling a number that is not even on a number cube.
Consider the events from Activity 1.1, Questions 5 and 6—“rolling an even number” and “rolling a number that is not even.” What do you notice about the sum of the probabilities of these two complementary events?
Sum is always 1
Step-by-step explanation:
Step 1: Find the sum of probability of complementary events.The sum of probability of an event and its complementary event is always 1.
Here, the event is rolling an even number. Let it be P(even)
Its complementary event is rolling a number that is not even. Let it be P(not even)
P(even) = 1/6
P(not even) = 5/6
P(even) + P(not even) = 1/6 + 5/6 = 1
Choose the problem with the same relationship that is modeled by the graph
Answer:
<M
Step-by-step explanation:
Evaluate the expression for z = -4.
-4z - 11=
Step-by-step explanation:
Plug z = -4 into the equation
-4. -4 - 11 = 16 -11 = 5
A little help here?
Whats the value of X?
Answer:
36
Step-by-step explanation:
That kind of triangle is supposed to equal up to 180. So 65 + 79 = 144. So 180 - 144 = 36. Sorry if this is the wrong answer. This is what i think it is. Again, sorry in advanced!
Use the table. Which inference can you make by comparing the measures of center?
A: every runner ran faster last year as compared to this year
B: most runners ran faster last year, on average, as compared to this year
C: the runners ran faster this year, on average, as compared to last year
D: every runner ran faster this year as compared to last year
Answer:
C: the runners ran faster this year, on average, as compared to last year
Step-by-step explanation:
Mean is a measure of center and MAD is a measure of dispersion. Comparing the means, this year, on average, the runners ran faster than last year.
Answer:
c
Step-by-step explanation:
12 cm Area
I already know the area but i can find the height.
Area of Parallelogram
120 cm
Answer: 10cm
Step-by-step explanation:
If the area is 120 and I'm assuming you meant the side length is 12, then 120 divided by 12 is 10
An isosceles triangle has an angle that measures 140°. Which other angles could be in that isosceles triangle? Choose all that apply.
Every triangle is 180 degrees, so each other angle should have 20
Answer: 20 :)
Step-by-step explanation:
The given data set shows the weight, in pounds, of nine dogs at an animal hospital.
{35, 22, 30, 110, 20, 25, 30, 32, 32}
Which data value is considered an outlier?
Enter the answer in the box.
Answer:
110
Step-by-step explanation:
You can see that the other terms are between 20 and 40, but 110 is a whole 75 off of the next greatest number. That makes it an outlier
Answer:
110
Step-by-step explanation:
All other value are between 20 and 35, 110 is way apart
Does this graph represent constant or changing speed? How do you know?
Find the average speed (1pt).
Answer:
yes because the no's.are different and they are moving high in the graph
The graph represents changing speed, and the average speed is 0.5 meters per second.
To determine whether the graph represents constant or changing speed, we examine the relationship between distance and time.
If the speed remains consistent over time, the graph represents constant speed.
Conversely, if the speed varies, the graph represents changing speed.
Upon examining the data provided, we observe that the distance traveled increases as time progresses, indicating changing speed.
This inference arises because the increments in distance over successive time intervals are not consistent, suggesting acceleration or deceleration.
To find the average speed, we divide the total distance traveled by the total time taken. In this case, the total distance covered is 100 meters (from 10 to 100 meters), and the total time elapsed is 200 seconds (from 20 to 200 seconds).
Therefore, the average speed is:
[tex]\[ \text{Average speed} = \frac{\text{Total distance}}{\text{Total time}} = \frac{100 \, \text{m}}{200 \, \text{s}} = 0.5 \, \text{m/s} \][/tex]
Hence, the graph represents changing speed, and the average speed is 0.5 meters per second.
The probable question may be:
Does this graph represent constant or changing speed? How do you know?
Find the average speed (1pt).
Distance (m) Time (sec)
10 20
20 40
35 70
65 130
85 170
100 200
What function is represented by the mapping diagram shown?
O A. F(x)= x+3
O B. F(x)= x-3
O C. F(x) = 3x
O D. F(x) = 1
The mapping diagram displays how inputs are transformed into outputs; this relationship must match the transformation properties of the given functions to determine the correct answer.
Explanation:To understand which function is represented by the mapping diagram, one needs to look at how the inputs (or arguments) are being transformed into outputs (or values). A mapping diagram shows a set of ordered pairs, illustrating how each input is associated with a specific output. Considering the functions given: F(x) = x+3, F(x) = x-3, F(x) = 3x, and F(x) = 1, it is important to note the nature of transformations that each of these functions imply.
For the F(x) = x+3 function, every input value x is increased by 3, which is a shift to the right on the graph. On the other hand, F(x) = x-3 would decrease every input x by 3, showing a leftward shift. If we consider F(x) = 3x, this would imply each input x is being scaled by a factor of 3. Lastly, F(x) = 1 represents a constant function that maps every input to the same output, which is 1.
To determine the correct function from the mapping diagram, one would compare these transformations to the mapping shown and select the function that accurately describes the relationship between the inputs and outputs in the diagram.