Answers
Answer:
Continuous because there are no breaks.
The graph is included as an attachment.
Step-by-step explanation:
Alright we want to graph:
y=x-4 for x<2
y=-2x+2 for x=2 or x>2
So let's graph the first piece y=x-4 for x<2.
I'm going to plug in 2 for x: y=2-4=-2. So this one line is going to contain an open circle at (2,-2). I say open circle because we did not have that we could actually include x=2 here because it says for x less than 2.
Now we are going to enter in one more number less than 2....your choice.
Let's go with x=0. When you plug in 0 for x into y=x-4 you get y=0-4=-4. So our line is going to include (0,-4).
So we are going to graph the points (0,-4) and (2,-2) again where (2,-2) is an open circle. Connect these points. You may extend your line left because we have x<2, but do not extend it right of x=2.
Let's look at the other piece now: y=-2x+2 for x=2 or x>2.
I'm going to plug in 2 for x: y=-2(2)+2=-4+2=-2 so we are going to include the point (2,-2) on our line. This was actually a point we used from above that we didn't want to include. We do now want to include because of the x=2 in our inequality so the dot can now be filled in. We need one more point to graph this line. Let's plug in a number greater than 2 since our inequality say x=2 or x>2. You choose. How about x=3?
y=-2(3)+2=-6+2=-3. So we are going to include the point (3,-3). So starting at (2,-2) and going right to connect it to (3,-3), you could extend passed the (3,-3) to the right.
I will show you my graph.
There are no breaks in the "curve", so it is continuous for all real numbers.
Related Questions
the slope is -4 which of the following is the point -slope form of the line (2,-8)
Answers
[tex]\huge{\boxed{y+8=-4(x-2)}}[/tex]
Point slope form is [tex]y-y_1=m(x-x_1)[/tex], where [tex]m[/tex] is the slope and [tex](x_1, y_1)[/tex] is any point on the line.
We can simply plug in the values. [tex]y-(-8)=-4(x-2)[/tex]
Then, just simplify the negative subtraction. [tex]y+8=-4(x-2)[/tex]
Answer ASAP John is thinking of a number. He gives the following 3 clues. ``My number has 125 as a factor. My number is a multiple of 30. My number is between 800 and 2000.'' What is John's number?
Answers
Answer:
1500
Step-by-step explanation:
List of multiples of 125 between 800 and 2000: 875,1000,1125,1250,1375,1500,1625,1750,1875,2000
Of those only 1500 is divisible by 30: 1500 / 30 = 50
The john number should be 1,500,
Calculation of number:The List of multiples of 125 that lies between 800 and 2000 should be 875,1000,1125,1250,1375,1500,1625,1750,1875,2000
Here we can see that there is only 1500 that should be the multiple of 30
Therefore, the john number should be 1500
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slope 1/2, passes through (6,4)
Write in slope-intercept form
Answers
Answer:
[tex]\large\boxed{y=\dfrac{1}{2}x+1}[/tex]
Step-by-step explanation:
[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\\text{We have:}\ m=\dfrac{1}{2}\ \text{and the point}\ (6,\ 4).\\\\\text{The equation:}\ y=\dfrac{1}{2}x+b.\\\\\text{Put the coordinates of the point to the equation:}\\\\4=\dfrac{1}{2}(6)+b\\\\4=3+b\qquad\text{subtract 3 from both sides}\\\\1=b\to b=1\\\\\text{Finally:}\\\\y=\dfrac{1}{2}x+1[/tex]
The graph below shows the solution for the following system.
{f(x)=2x−3
g(x)=2^x−4
Linear function passing through (0, negative 3), (1.5, 0) & about (2.7, 2.3).
Exponential function passing through (negative 3, negative 4), (0, negative 3), (2,0) & about (2.7, 2.3).
Which statements are true?
Select all that apply.
x=0 is a solution to the system.
(1.5,0) and (2,0) are solutions to the system because the graphs of f(x) and g(x) cross the x-axis at those points.
When x≈2.7, the graphs of f(x) and g(x) intersect because they are equal to each other at that value.
f(x)=g(x) when x=0.
Answers
Answer:
TRUE:
When x≈2.7, the graphs of f(x) and g(x) intersect
f(x)=g(x) when x=0
Step-by-step explanation:
The graphs of two function y=f(x) and y=g(x) are shown in attached diagram.
These two graphs intersect at two points (0,-3) and about (2.7,2.3). This means that
f(0)=g(0)=-3
and
f(2.7)=g(2.7)=2.3
So, x=0, y=-3 is the solution to the system (the solution to the system is ordered pair (x,y), not only x)
Points (1.5,0) and (2,0) are not solutions, because they are not points of graphs intersection.
When x≈2.7, the graphs of f(x) and g(x) intersect (TRUE)
f(x)=g(x) when x=0 (TRUE)
Answer:
f(x)=g(x) when x=0.
x=0 is a solution to the system.
When x≈2.7, the graphs of f(x) and g(x)intersect because they are equal to each other at that value.
your utility bill for april is $170. If you pay after the due date,a late payment panality of $7.72 is added? what is percent of penality?
Answers
Answer:
4.54%
Step-by-step explanation:
Step 1: Write the data
Total bill = $170
Penalty = $7.72
Percentage of penalty = ?
Step 2: Write the formula to find the percentage of penalty
Percentage of penalty = Penalty/Total bill * 100
Percentage of penalty = 7.72/170 * 100
Percentage of penalty = 4.54%
Therefore, the percent of penalty is 4.54%
!!
Write the equation of the line that passes
through the points (0,-5) and (1,-9).
I’m stuck....:(
Answers
Answer:
The slope is -4.
Step-by-step explanation:
Slope formula:
[tex]\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{rise}{run}[/tex]
[tex]\displaystyle \frac{(-9)-(-5)}{1-0}=\frac{-4}{1}=-4[/tex]
Therefore, the slope is -4, and the correct answer is -4.
Hope this helps!
So first use this formula: y2-y1/x2-x1
Then you’ll get your slope! = -4
Second choose a point and plug it into the point-slope formula: y-y1=m(x-x1)
Then solve and you get> y=-4x-5
In slope-intercept form: y=-4x-5
Which of the following is an example of a conditional probability?
O
A. The probability that a volcano will erupt tomorrow.
O
B. The probability that a person will not fall while skating.
O
C. The probability a person will ace a test given that the person got a
good night's sleep the previous night.
O
D. The probability that a road will be closed or a certain song will
come on the radio.
Answers
Answer:
The probability a person will ace a test given that the person got a
good night's sleep the previous night.
Step-by-step explanation:
A conditional probability is a probability that something will occur given that something else has happened.
C The probability a person will ace a test given that the person got a
good night's sleep the previous night.
Which expressions have a value of - 1/64 ? Check all that apply.
Answers
Answer:
That may be one of the answers but it is check all that apply
Step-by-step explanation:
If f(x) = 3x^2
and g(x) = x+2, find (f•g)(x).
A. 3x3 +6x
B. 3x2 +6x
c. xi +2
D. 3x3 +6x2
Answers
Answer:
D. (f · g)(x) = 3x³ + 6x²Step-by-step explanation:
(f · g)(x) = f(x) · g(x)
We have f(x) = 3x² and g(x) = x + 2. Substitute:
(f · g)(x) = (3x²) · (x + 2) use the distributive property
(f · g)(x) = (3x²)(x) + (3x²)(2)
(f · g)(x) = 3x³ + 6x²
Which functions have a vertex with a x-value of O?. Select three options.
f(x) = |x|
f(x) = \x{ + 3
f(x) = 5x + 31
f(x) = [x] - 6
f(x) = 5x + 31 - 6
Answers
Answer:
Step-by-step explanation:
1) f(x) = |x| has its vertex at (0, 0), so the x-value is 0.
2) Cannot figure out what you meant by \x{ + 3.
3) f(x) = 5x + 31 has a straight line graph, no vertex.
4) [x] - 6 does not have a vertex, or at least not a well-defined one like |x|
5) Unsure of what you meant by 5x + 31 - 6. Did you mean 5x + 25? This does not have a vertex.
What is the following product 3 square root 2(5 square root 6-7 square root 3
Answers
Answer:
30√3 - 21 √6
Step-by-step explanation:
The given expression is:
3√2 (5√6 -7√3)
We cannot subtract the values inside the bracket because the values inside the radicals are not same.
So multiply 3√2 with the bracket.
=3*5√2*6 - 3*7√2*3
=15√12 - 21√6
Now break √12
=15√4*3 - 21√6
write √4*3 separately:
=15√4 *√3 - 21√6
We know that √4 = 2
=15*2*√3 - 21√6
=30√3 - 21 √6
Therefore the answer is 30√3 - 21 √6 ....
Find the percentage of data points that lie between -3.01 and 2.61?
z= (x-u) /o
Answers
Answer:
To find the percetage of data points that lie between the points -3.01 and 2.61, on a normal distribution we're going to need the help of a calculator. The result is: 99.42%
Attached you will find the graph that represents the result.
What is the slope-intercept equation for the line below?
(4.1)
(0, -4)
Answers
Answer:
y=5/4x-4
Step-by-step explanation:
C. y = 5/4x - 4.
What is slope-intercept?One of the three ways we may express a straight line is in slope-intercept form. The other forms are known as point slope form and standard form, however in this section we will mostly use slope-intercept form. The slope-intercept form is used to write a line's equation as y = mx + c.
You may be aware that a point's coordinates on a graph are x and y.
Given two coordinates of a line from that, we can calculate the slope.
slope m = (y₂ - y₁) / (x₂- x₁)
m = 5/4
Put the value of m and one coordinate value in the slope-intercept equation
-4 = 5/4 * 0 + c
c = -4
therefore slope-intercept equation of given coordinates is y = 5/4x - 4.
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Find x Round to the nearest tenth
Answers
Answer:
15.5
Step-by-step explanation:
So the formula here is the square of the tangent length is equal to the product of the exterior part of the secant line and total length of the secant.
So that means we have x^2=10(14+10).
After simplifying the right hand side we have the equation is x^2=10(24) or x^2=240.
To get rid of the square on the x, we square root both sides.
x=sqrt(240)
x=15.49193338
To the nearest tenths, the answer is x=15.5
So 15.5 inches is the length of x.
Vince bought 6 boxes of worms to use as
bait while fishing with his friends. If each
person uses exactly 3/8 of a box of worms,
how many people can share the worms?
Answers
Divide 6 by 3/8 which becomes 6*8/3
6*8/3= 48/3
48/3=16
So 16 if your answer
Jackrabbit are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second
Answers
Answer:
58.6667
Step-by-step explanation:
if you see there are 5280 ft in 1 mile so use ur brain
Answer:
58.67 feet per second.
Step-by-step explanation:
We have been given that Jackrabbit are capable of reaching speeds up to 40 miles per hour. We are asked to represent this speed in feet per second.
We know that 1 mile equals 5280 feet.
We also know that 1 hour equals 3600 seconds.
[tex]\text{Speed of jackrabbit}=\frac{\text{40 miles}}{\text{Hour}}\times \frac{\text{5280 feet}}{\text{Mile}}\times \frac{\text{1 hour}}{\text{3600 sec}}[/tex]
[tex]\text{Speed of jackrabbit}=\frac{40 \times\text{5280 feet}}{\text{3600 sec}}[/tex]
[tex]\text{Speed of jackrabbit}=\frac{211200\text{ feet}}{\text{3600 sec}}[/tex]
[tex]\text{Speed of jackrabbit}=\frac{58.67\text{ feet}}{\text{3600 sec}}[/tex]
Therefore, the speed of jackrabbit is 58.67 feet per second.
if f(x)=3x^2-9 and g(x)=x^2+1 find (f+g)(x)
Answers
Answer:
4x^2 -8
Step-by-step explanation:
f(x)=3x^2-9
g(x)=x^2+1
(f+g)(x)=3x^2-9 +x^2+1
Combine like terms
= 4x^2 -8
Jermiah makes a recipe that calls for 1 1/2 cups of flour and 3/4 stick of butter. If Jermiah uses 3 sticks of butter, how many cups of flour will he need
Answers
Answer:
The answer is 6 cups of flour.
To find the amount of flour needed for 3 sticks of butter, a proportion based on the original recipe ratio is used, resulting in 6 cups of flour.
Jermiah's recipe calls for 1 1/2 cups of flour for every 3/4 stick of butter. Therefore, if he uses 3 sticks of butter, we need to find out how many cups of flour that corresponds to.
To determine the amount of flour needed, we set up a proportion, where the original amount of butter and flour are proportional to the new amount of butter and flour.
Since 3/4 stick of butter corresponds to 1 1/2 cups of flour, 3 sticks of butter would be 4 times as much, because 3 divided by 3/4 equals 4. Therefore, he will need 4 times the original amount of flour.
Here is the math: 1 1/2 cups of flour x 4 = 6 cups of flour.
nine times five less than twice x
Answers
Answer:
3
Step-by-step explanation:
For this case we must express algebraically the following sentence:
"Nine times five less than twice x"
We have to:
Nine times five represents: [tex]9 * 5 = 45[/tex]
Twice x represents:[tex]2x[/tex]
So we have that "Nine times five less than twice x" is represented as:
[tex]2x-45[/tex]
Answer:
[tex]2x-45[/tex]
Given 0 below, if GH and JK are congruent, what is the measure of KOJ?
Answers
Answer:
D
Step-by-step explanation:
Since GH and JK are congruent then the central angles are congruent, that is
∠KOJ = ∠HOG = 68° → D
The measure of KOJ = 68 degree.
What is a sector ?A sector is formed by two radii and the intercepted arc on the circle.
The angle subtended by the sector at the center is called Central Angle.
It is given that the
sector , GH and JK are congruent.
As they are congruent the angle subtended by them at the center will be equal.
The measure of ∠GOH = 68 degree
∠KOJ = ∠GOH = 68 degree
Therefore , The measure of KOJ = 68 degree.
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Right triangle ABC and its image, triangle A'B'C' are shown in the image attached.
Algebraically prove that a clockwise and counterclockwise rotation of 180° about the origin for triangle ABC are equivalent rotations.
Answers
Answer:
See explanation
Step-by-step explanation:
Triangle ABC ha vertices at: A(-3,6), B(0,-4) and (2,6).
Let us apply 90 degrees clockwise about the origin twice to obtain 180 degrees clockwise rotation.
We apply the 90 degrees clockwise rotation rule.
[tex](x,y)\to (y,-x)[/tex]
[tex]\implies A(-3,6)\to (6,3)[/tex]
[tex]\implies B(0,4)\to (4,0)[/tex]
[tex]\implies C(2,6)\to (6,-2)[/tex]
We apply the 90 degrees clockwise rotation rule again on the resulting points:
[tex]\implies (6,3)\to A''(3,-6)[/tex]
[tex]\implies (4,0)\to B''(0,-4)[/tex]
[tex]\implies (6,-2)\to C''(-2,-6)[/tex]
Let us now apply 90 degrees counterclockwise rotation about the origin twice to obtain 180 degrees counterclockwise rotation.
We apply the 90 degrees counterclockwise rotation rule.
[tex](x,y)\to (-y,x)[/tex]
[tex]\implies A(-3,6)\to (-6,-3)[/tex]
[tex]\implies B(0,4)\to (-4,0)[/tex]
[tex]\implies C(2,6)\to (-6,2)[/tex]
We apply the 90 degrees counterclockwise rotation rule again on the resulting points:
[tex]\implies (-6,-3)\to A''(3,-6)[/tex]
[tex]\implies (-4,0)\to B''(0,-4)[/tex]
[tex]\implies (-6,2)\to C''(-2,-6)[/tex]
We can see that A''(3,-6), B''(0,-4) and C''(-2,-6) is the same for both the 180 degrees clockwise and counterclockwise rotations.
Triangle ABC ha vertices at: A(-3,6), B(0,-4) and (2,6).
Let us apply 90 degrees clockwise about the origin twice to obtain 180 degrees clockwise rotation.
We apply the 90 degrees clockwise rotation rule.
(x,y) --- (y, -x)
A(-3, 6) > (6, 3)
B(0, 4) > (4, 0)
C(2, 6) > (6, -2)
We apply the 90 degrees clockwise rotation rule again on the resulting points:
(6, 3) > A'(-3, 6)
(4, 0) > B'(0, -4)
(6, -2)> C'(-2, -6)
Let us now apply 90 degrees counterclockwise rotation about the origin twice to obtain 180 degrees counterclockwise rotation.
We apply the 90 degrees counterclockwise rotation rule.
(x,y) --- (-y, x)
A(-3, 6) > (-6, -3)
B(0, 4) > (-4, 0)
C(2, 6) > (-6, 2)
We apply the 90 degrees counterclockwise rotation rule again on the resulting points:
(-6, -3) > A'(3, -6)
(-4, 0) > B'(0, -4)
(-6, 2) > C'(-2, -6)
We can see that A'(3,-6), B'(0,-4) and C'(-2,-6) is the same for both the 180 degrees clockwise and counterclockwise rotations.
Ez why to copy
Find the area of the shaded region.
Round to the nearest tenth.
9.28 cm
68.90
Area = [?] cm?
I really need help pretty quick on this one. So plz hurry if u can.
Answers
Answer:
The area of the shaded region is [tex]11.6\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the sector of circle of angle 68.9 degrees minus the area of the isosceles triangle
step 1
Find the area of sector of the circle
The area of circle is equal to
[tex]A=\pi r^{2}[/tex]
assume
[tex]\pi =3.14[/tex]
[tex]r=9.28\ cm[/tex]
substitute
[tex]A=(3.14)(9.28)^{2}[/tex]
[tex]A=270.41\ cm^{2}[/tex]
Remember that the area of a circle subtends a central angle of 360 degrees
so
using proportion Find out the area of a sector with a central angle of 68.90 degrees
Let
x -----> the area of a sector
[tex]270.41/360=x/68.90\\\\x=68.90*270.41/360\\\\x=51.75\ cm^{2}[/tex]
step 2
Find the area of the isosceles triangle
Applying the law of sines
The area is equal to
[tex]A=(1/2)r^{2}sin(68.90)[/tex]
we have
[tex]r=9.28\ cm[/tex]
substitute
[tex]A=(1/2)(9.28)^{2}sin(68.90)=40.17\ cm^{2}[/tex]
step 3
Find the area of the shaded region
[tex]51.75-40.17=11.58\ cm^{2}[/tex]
Round to the nearest tenth
[tex]11.58=11.6\ cm^{2}[/tex]
The calculated area of the shaded region is 11.6 square cm
How to determine the area of the shaded region.from the question, we have the following parameters that can be used in our computation:
The circle
The area of the shaded region is calculated as
Area of shaded region = Area of sector - Area of triangle
Using the respective formulas, we have
Area of shaded region = 68.9/360 * 3.14 * 9.28 * 9.28 - 1/2 * 9.28 * 9.28 * sin(68.9)
Evaluate
Area of shaded region = 11.6
Hence, the area of the shaded region is 11.6 square cm
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are alternate interior angles always congruent
Answers
Answer:
depends
Step-by-step explanation:
The Alternate Interior Angles theorem states, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent
Answer:
Yes they are
Step-by-step explanation:
when a line cuts two parallel lines, the alternate interiors angles are congruent. Hope this helps :)
Figure A is a scale image of Figure B. What is the value of x?
Answers
Put in proportions x/45 = 18/27.
Cross multiply and get 27x= 45 x 18
Or 27X = 810.
Next, divide by 27 on both sides to get X=30.
In a scale model, Figure A has one side measuring 45 units and another side measuring x, while Figure B has corresponding sides of 27 and 18 units. By setting up a proportion, x is determined to be 30 units.
To find the value of x, we can set up a proportion based on the given information:
In Figure A, one side is 45, and in Figure B, it corresponds to a side of 27.
In Figure A, the other side is x, and in Figure B, it corresponds to a side of 18.
So, we can set up the following proportion:
(45 / 27) = (x / 18)
Now, cross-multiply and solve for x:
45 * 18 = 27x
810 = 27x
Now, divide by 27 to find the value of x:
x = 810 / 27
x = 30
So, the value of x is 30.
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Find the mode of the following data:
10, 16, 15, 14, 8, 21, 10, 5, 19, 18, 4, 5, 16, 12, 10,9
Answers
Answer:
The mode is 10.
Step-by-step explanation:
A mode is basically the number that occurs most in a data set, so first to make it easier you can list the number least to greatest. After that look at the data set and see what number occurs the most. In this situation it is 10 because it occurs 3 times.
In a data set, the mode is the value that appears the most frequently. A set of data can have just one mode, multiple modes, or none at all.
HOW TO SOLVE?To solve mode given series is
[tex]10\\16\\15\\14\\8\\21\\10\\5\\19\\18\\4\\5\\16\\12\\10\\9\\[/tex]
Rearranging series we get
[tex]4\\5\\5\\8\\9\\10\\10\\10\\12\\14\\15\\16\\16\\18\\19\\21\\[/tex]
hence, mode is number with highest frequency which is 10 in this series
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simplify 3y - 5(y + 2) completely
Answers
Answer:
A
Step-by-step explanation:
3y (-5)(y+2)
3y(-5y-10)
3y-5y-10
-2y-10
-2y-10
3y - 5(y +2)
Use the distributive property:
3y - 5y +10
Combine like terms:
-2y+10
The answer is B.
WILL GIVE BRAINLEIST NEED TO TURN IN BY 9 P.M. PLS HURRY SUPER EASY
A. What 3 consecutive even numbers added together equal 42? Use the equation n+(n+2) +(n+4)=42 to help you solve
B. Give an example of an equation that has a solution of 5.
Answers
Answer:
A) 12,14,16
B) 3x+1=16
Step-by-step explanation:
A)
They already gave you the equation to solve:
n+(n+2)+(n+4)=42
n+n+2+n+4=42
Put like terms together:
n+n+n+2+4=42
Combine the like terms:
3n+6=42
Subtract 6 on both sides:
3n=42-6
Simplify:
3n=36
Divide both sides by 3:
n=36/3
Simplify:
n=12
If n=12,
then
n+2=14 and
n+4=16.
Check the addition of those numbers: 12+14+16=26+16=42.
B)
There is a lot of equations that have a solution of 5.
It might be good start with x=5.
Then just remember whatever you do to one side, you must do to the other.
x=5
Multiply both sides by 3:
3x=15
Add 1 on both sides:
3x+1=16
An example of equation that solution 5 is 3x+1=16.
Help me with this please
Answers
Answer:
[tex]\large\boxed{(b)\ \dfrac{x+2}{x-3}}[/tex]
Step-by-step explanation:
[tex]\dfrac{1}{x+1}+\dfrac{x}{x-3}-\dfrac{-x-5}{x^2-2x-3}=(*)\\\\x^2-2x-3=x^2-3x+x-3=x(x-3)+1(x-3)=(x-3)(x+1)\\\\(*)=\dfrac{1(x-3)}{(x+1)(x-3)}+\dfrac{x(x+1)}{(x+1)(x-3)}+\dfrac{-(-x-5)}{(x+1)(x-3)}\\\\=\dfrac{x-3+x^2+x+x+5}{(x+1)(x-3)}=\dfrac{x^2+(x+x+x)+(-3+5)}{(x+1)(x-3)}\\\\=\dfrac{x^2+3x+2}{(x+1)(x-3)}=\dfrac{x^2+2x+x+2}{(x+1)(x-3)}=\dfrac{x(x+2)+1(x+2)}{(x+1)(x-3)}\\\\=\dfrac{(x+2)(x+1)}{(x+1)(x-3)}\qquad\text{cancel (x + 1)}\\\\=\dfrac{x+2}{x-3}[/tex]
Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at the ball field so he can reconstruct it when he gets home. Calculate the area of the polygon.
TYSM
Answers
Answer:
Area of the polygon = 59 in²
Explanation:
From the given diagram, we can note that the given polygon is composed of an upper triangle, a side triangle and a rectangle
Therefore:
Area of polygon =
area of upper triangle + area of side triangle + area of rectangle
1- getting the area of the upper triangle:
We have:
base of triangle = 7 in
height of triangle = 6 in
Therefore:
Area of upper triangle = [tex]\frac{1}{2}*base*height = \frac{1}{2}*7*6=21[/tex] in²
2- getting the area of the side triangle:
We have:
base of triangle = 4 in
height of triangle = 5 in
Therefore:
Area of upper triangle = [tex]\frac{1}{2}*base*height = \frac{1}{2}*4*5=10[/tex] in²
3- getting the area of the rectangle:
We have:
length of rectangle = 7 in
width of rectangle = 4 in
Therefore:
Area of rectangle = length x width = 7 x 4 = 28 in²
4- getting the total area of the polygon:
Area of polygon =
area of upper triangle + area of side triangle + area of rectangle
Therefore:
Area of polygon = 21 + 10 + 28 = 59 in²
Hope this helps :)
What is the x-interception of the Logarithmic function??
Answers
The answer is:
Why?To find the x-interception of the given function, we just need to isolate the variable "x", by making the function (y) equal to 0.
So, we are given the function:
[tex]F(x)=y=Log_{0.71}(x)[/tex]
Now, making y equal to 0, to isolate "x", we have:
[tex]y=Log_{0.71}(x)\\\\0=Log_{0.71}(x)[/tex]
[tex]0=Log_{0.71}(x)\\\\0.71^{0}=0.71^{Log_{0.71}(x)}} \\\\1=x[/tex]
We have that the x-intercept of the logarithmic function is located at (1,0)
Hence, the correct answer is:
B. (1,0).
Have a nice day!
Note: I have attached a picture for better understanding.