Answer:
ANSWER: No; 11. SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
11 is more than 6 and less than 24
9 is more than 4 and less than 26
15 is more than 2 and less than 20
The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles?
Answer:
The measure of a base angle of one of the triangles is 54°
Step-by-step explanation:
In the isosceles triangle, the angle between the two equal sides called the vertex angle and the other two angles are equal and called base angles
∵ The total number of degrees in the center is 360°
∵ All five vertex angles meeting at the center are congruent
→ To find the measure of each vertex divide 360° by 5
∴ The measure of each vertex = 360° ÷ 5
∴ The measure of each vertex = 72°
∵ The base angles are equal in the isosceles triangle
∵ The sum of the measures of the angles of a triangle is 180°
→ Assume that the measure of each base angle is x
∴ x + x + 72° = 180°
∴ 2x + 72° = 180°
→ Subtract 72 from both sides
∵ 2x + 72 - 72 = 180 - 72
∴ 2x = 108
→ Divide both sides by 2 to find x
∴ x = 54
∴ The measure of each base angle = 54°
∴ The measure of a base angle of one of the triangles is 54°
Part 3: The function f(x) = 2* is reflected vertically, translated 5 units
up and 3 units left to find g(x). (10 points per answer)
1. Write out the function g(x).
2. What is the domain of g(x)?
3. What is the range of g(x)?
Answer:
First, let's define the transformations in a general way.
Vertical translation:
A vertical translation of N units is defined as:
g(x) = f(x) + N
if N is positive, the translation is up
if N is negative, the translation is down.
Horizontal translation:
A horizontal translation of N units can be written as:
g(x) = f(x - N)
if N is positive, the translation is to the right
if N is negative, the translation is to the left.
Reflected vertically (or a reflection over the x-axis)
This type of reflection changes the sign of the y component.
We can write those as:
g(x) = -f(x)
Then:
We start with the function:
f(x) = 2^x
First we reflect it vertically.
g(x) = -2^x
now we do a vertical translation of 5 units up, then:
g(x) = -2^x + 5
Now we do a translation of 3 units to the left, then we get:
g(x) = - 2^(x + 3) + 5
Then we already did the first step.
Now we want to find the domain for this function, the domain will be the set of the possible values of x that we can input in the function g(x).
Notice that in this function the denominator is never zero, so there are no values of x that generate problems here, so the domain will be the set of all real numbers, that can be written as:
(-∞, ∞)
3) Now we want to find the range, this is the set of the possible values of g(x).
The Largest value of g(x) will be when the exponential part tends to zero, this is for really small values of x, such that when x goes to minus infinity, -2^(x + 3) goes to zero.
Then:
g(-∞) ≈ 5
The maximum of the range is 5.
And we do not have a minimum, because as x increases the function will decrease infinitely.
Then the range will be:
(-∞, 5)
(A graph of the function can be seen below)
A new car is purchased for 20700 dollars. The value of the car depreciates at 11% per year. What will the value of the car be, to the nearest cent, after 11 years?
Answer:
5744. 61 cents
Step-by-step explanation:
5744. 61 cents
Because:
Explanation:
after 1 year:
20700×89%=18423
after 2 years:
18423×89%=16396.47
after 3 years:
16396.47×89%=14592.8583
after 4 years:
14592.8583×89%=12987.64389
after 5 years:
12987.64389×89%=11559.00306
after 6 years:
11559.00306×89%=10287.51272
after 7 years:
10287.51272×89%=9155.886323
after 8 years:
9155.886323×89%=8148.738828
after 9 years:
8148.738828×89%=7252.377557
after 10 years:
7252.37757×89%=6454.616026
after 11 years:
6454.616026×89%=5744.608263
~5744.61 (nearest cent)
find the percent of the number
105% of 400
Answer:
105% of 400 is 420, the percent is 42000%
Step-by-step explanation:
Solve x−5≥1. please help me quick
Answer:
x greater than or equal to 6
[6, infinity)
Step-by-step explanation:
x-5+5 greater than or equal to 1+5
Step-by-step explanation:
x=6
[tex]x - 5 \geqslant 1[/tex]
[tex]x - 5 + 5 \geqslant 1 + 5 [/tex]
[tex]x \geqslant 6[/tex]
Find the y-intercept:
-14 - 7y = -7x
Answer:
yo, its
y=x−2
Step-by-step explanation:
Answer:
it is y = x-2
Step-by-step explanation:
The equation ý-x+4 is graphed below. Which equation would intersect this line at the point (4, 6)?
2
65432,
Answer:
Your answer would be A. y=6!
Step-by-step explanation:
Have a nice day! :)
20 points helppppp which pair shows equivilent fractions
2x+10=2(x-5)
-2(x+5)=2x-10
-2x-10=-2(x+5)
-2(x-5)=-2x-10
Answer:
Third
Step-by-step explanation:
First would be, simplified, 2x+10=2x-10
Second, simplified, -2x-10=2x-10
Third, simplified, -2x-10=-2x-10
Fourth, simplified, -2x+10=2x-10
So it's third :)
hope this helps :D
Answer:
gettin my points yessir
Step-by-step explanation:
please help me with this
-8d-5d+7d=72 can you help me figure out d
Answer:
d = -12
Step-by-step explanation:
Add -8 -5 +7
take that number : -6
72 divided by -6 = -12
d = -12
15.3+1h=1.3−1h15, point, 3, plus, 1, h, equals, 1, point, 3, minus, 1, h h =h=h, equals
Answer: h= 6
Step-by-step explanation:
What is the equation of the line through the points (1, 1), (5, 4), (9, 7) and (13, 10)? y=3/4x+1/4
y=4/3x+1/3
y=3/4x−1/4
y=4/3x−1/3
Please help
Answer:
y = 3/4 x + 1/4
Step-by-step explanation:
line through the points (1, 1), (5, 4)
slope (m) = (4 - 1) / (5 - 1) = 3/4
y = mx + b b = y - mx ... for point (1 , 1)
b = 1 - 3/4 = 1/4
Line: y = 3/4 x + 1/4
check for point (9 , 7): 3/4 * 9 + 1/4 = 28/4 = 7
12/7 Lesson 9 Session 2 Review on Page 208 iready book volume 1
Answer:
I really dont understand u
The rabbit population in a certain area is 300% of last year's population. There are 900 rabbits this year. How many were there last year? *
A - 300 rabbits
B - 2,700 rabbits
Answer:
-300
Step-by-step explanation:
The value of 2*3 + 4*2 = ___.
Answer:
16
Step-by-step explanation:
2 * 3 is 6 and 4 * 2 is 8 so 8 + 6 is 16
PLS HELP im in a timededeedd teststs
Which is the graph of g(x) = ⌈x + 3⌉?
Andrew purchased a coat for $50.00 on sale for 25% off. What was the cost of the coat after the discount not including tax?
Answer:
$ 37.50
Step-by-step explanation:
100% - 25% = 75%
75% = 0.75
50 × 0.75 = $ 37.50
Gianna wants to buy holiday presents for her family. At the holiday sale, every ornament is $3 and every stocking is $8. Although there will be 24 people at holiday dinner, she wants to buy more just in case someone brings a guest. She has allotted $200 for gifts. Write a system of linear inequalities to represent the situation
9514 1404 393
Answer:
o + s > 243o +8s ≤ 200Step-by-step explanation:
Let o and s represent the numbers of ornaments and stockings, respectively.
o + s > 24 . . . . . . the total of gifts is more than 24
3o +8s ≤ 200 . . . the maximum budget is $200
i will add you to brainlist if you get the answer right promise
Answer:
B
Step-by-step explanation:
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 474 inches?
pls help i give brainly
You score a 95% or your mouth quiz the quiz was out of 60 points how many points did you get
Answer:
It will be 57 points.
Step-by-step explanation:
What is the value of -3/5+ -0.75+4 7/10
Answer: 3.35
i think
Step-by-step explanation:
Which of the following are the coordinates of a rectangle with a length of 4 units and a width of 3 units in the coordinate plane?
A- (−2, 1), (−2, −2), (2, 1), (2, −2)
B- (4, 3), (0, 3), (4, 7), (0, 7)
C- (1, −4), (−1, −4), (1, 0), (−1, 0)
D- (5, 6), (−3, 6), (5, 1), (−3, 1)
the graph of y=x^2-8x+6 has a minimum point. write down the coordinates of this point
Answer:
this formula can't not calculate
5 more than the product of 23 and a number n
Answer:
23n +5
Step-by-step explanation:
break down the expression into parts
5 more is +5
product is multiplication of 23 and n so 23n
then put it together
please give thanks :)
The temperature dropped 3 °F every hour for6 hours. How much did the temperature drop in all?
Answer:
18 degrees
Step-by-step explanation:
it drops 3 degrees every hour for 6 hours, then the equation would be 3 times 6 and that is 18, PLEASE MARK BRAINLIEST
write the slope intercept form of an equation for the line passing through the following two points: (-2,8) and (-4,-4)
Answer:
y=6x+20
Step-by-step explanation:
m= y2-y1/x2-x1
m= -4-8/-4-(-2)= 12/-2= 6/1
y= mx+b
y= 6x+b
8= 6(-2)+b
8=-12+b
+12 +12
b= 20
PLZZZ HELP!!!! HURRY READ WHAT I SAY
Answer:
omg
okay here:
"Gucci was founded in 1921 by Guccio Gucci in Florence, Tuscany. Under the direction of Aldo Gucci (son of Guccio), Gucci became a worldwide-known brand, an icon of the Italian Dolce Vita. Following family feuds during the 1980s, the Gucci family was entirely ousted from the capital of the company by 1993."
Please find the domain and range!
Answer:
Domain: {-2, -3, 6, 8, 10}
Range: {-5, 1, 7, 9}
Step-by-step explanation:
Given:
{(6, -5), (-2, 9), (-3, 1), (10, 7), (8, 9)}
✔️Domain:
This includes all the set of the x-values that are in the relation. This includes, 6, -2, -3, 10, and 8.
Thus, the domain can be represented as:
{-2, -3, 6, 8, 10}
✔️Range:
This includes all corresponding y-values in the relation. They are, -5, 1, 7, and 9.
Range can be represented as:
{-5, 1, 7, 9}
