Answer:
d
Step-by-step explanation:
The area of the parallelogram below is ____ square meters.
Answer:
45 cm2
Step-by-step explanation:
your welcome I guess?
im doing the same test btw
EDIT: i finished my test this answer is wrong. pls do search for a different answer. because mine is wrong.
5. In the right triangle shown below, the length of side AB is x, the length of side BC is x + 2, and the length of the
hypotenuse AC is x + 4. Use this information to find the length of each side. (Use the Pythagorean theorem to get
an equation, and solve for x.)
I need an answer quick!!!
It’s from the problem set to lesson 17 M.1
Answer:
[tex]AB = 6[/tex] [tex]BC = 8[/tex] [tex]AC = 10[/tex]
Step-by-step explanation:
The picture of the triangle is missing.
Given
[tex]AC = x + 4[/tex]
[tex]BC = x + 2[/tex]
[tex]AB = x[/tex]
Required
Find x
When Pythagoras theorem is applied, we have:
[tex](AC)^2 = (BC)^2 + (AB)^2[/tex]
This is so, because AC is the hypotenuse
So, we have:
[tex](x+4)^2 = (x+2)^2 + x^2[/tex]
Open brackets
[tex]x^2 + 4x + 4x + 16 = x^2+2x + 2x + 4 + x^2[/tex]
[tex]x^2 + 8x + 16 = x^2+4x + 4 + x^2[/tex]
Collect Like Terms
[tex]x^2 -x^2 - x^2 + 8x -4x + 16 - 4 = 0[/tex]
[tex]- x^2 + 4x + 12 = 0[/tex]
Expand:
[tex]- x^2 + 6x -2x+ 12 = 0[/tex]
Factorize:
[tex]-x(x -6) -2(x- 6) = 0[/tex]
[tex](-x -2)(x- 6) = 0[/tex]
Split
[tex]-x - 2 = 0[/tex] or [tex]x - 6 = 0[/tex]
[tex]-x = 2[/tex] or [tex]x = 6[/tex]
[tex]x =-2[/tex] or [tex]x = 6[/tex]
Because [tex]BC = x + 2[/tex] and [tex]AB = x[/tex]
[tex]x =-2[/tex] can not be considered.
Hence:
[tex]x = 6[/tex]
Substitute 6 for x in
[tex]AC = x + 4[/tex]
[tex]BC = x + 2[/tex]
[tex]AB = x[/tex]
[tex]AC = 6 + 4[/tex]
[tex]AC = 10[/tex]
[tex]BC = 6 + 2[/tex]
[tex]BC = 8[/tex]
[tex]AB = 6[/tex]
Use the table to write a proportion.
Please help. Ty!
Answer:
[tex]21.\bar{3}[/tex]
Step-by-step explanation:
Assuming a constant ratio, we can set up the following proportion:
[tex]\frac{6}{8}=\frac{16}{m}[/tex].
Cross-multiply to solve:
[tex]6m=8\cdot 16,\\m=\fbox{$21.\bar{3}$}[/tex]
The following stemplot displays the number of forest fires (the stem is in tens of thousands) that occurred each year over the period from 1980 to 2012.
4 | 024477889
5 | 001222234477888
6 | 02378
7 | 348
How many data values are in this data set?
Answer:
32 values
Step-by-step explanation:
Given the stem. Plot :
STEM ___ Leaf
4 | 024477889
5 | 001222234477888
6 | 02378
7 | 348
The data values include the stem with each value in the leaf : Hence, the number of data points is the number of values in the leaf of the stem plot.
The values are :
40, 42, 44, 44, 47, 47, 48,48, 49
50, 50, 51, 52,52, 52, 52, 53, 54, 54, 57, 57, 58, 58, 58,
60, 62, 63, 67, 68
73, 74, 78
Prove: The square of a number that is
one more than a multiple of 3 is also one
more than a multiple of 3.
n +
(3n + 1)2 = [ ? ]n? +
1([ ]n2 +
=
)n) +
- 1 more than a multiple of 3
Let 3n + 1 denote the "number" in question. The claim is that
(3n + 1)² = 3m + 1
for some integer m.
Now,
(3n + 1)² = (3n)² + 2 (3n) + 1²
… = 9n² + 6n + 1
… = 3n (3n + 2) + 1
… = 3m + 1
where we take m = n (3n + 2).
Two sides of a triangle have the same length. The third side measures 6 m less than twice the common length. The perimeter of the triangle is 14 m. What are the lengths of the three sides?
What is the length of the two sides that have the same length?
Answer: 5
Step-by-step explanation:
x = common side length
2x + (2x - 6) = 14
4x - 6 = 14
4x = 20
x = 5
Enter 72% as a fraction in the simplest form
Answer:
18/25
Step-by-step explanation:
72% = 72/100
72/100 simplified
=18/25
Ashley deposit $100 into a savings account. The account is 2% compounded annually. What is the balance in Ashley's account after 2 years?
Answer:
104.40
Step-by-step explanation:
100 * 2% = 102
102 * 2% =104.4
-8,-8,-6,-2,4,12,22 quadratic sequence
9514 1404 393
Answer:
a[n] = n^2 -3n -6
Step-by-step explanation:
First differences are ...
-8 -(-8) = 0
-6 -(-8) = 2
-2 -(-6) = 4
Second differences are ...
2 -0 = 2
4 -2 = 2
Constant second differences indicate a degree 2 (quadratic) sequence.
The general formulation can be written as ...
an = a1 +(n -1)(d1 +(n -2)/2(d2)) . . . . where a1 is the first term; d1 is the first first difference; d2 is the second difference
= -8 +(n -1)(0 +(n -2)/2(2)) = -8 +(n -1)(n -2)
an = n^2 -3n -6 . . . . . formula for the n-th term
Find the value of the power by completing the statements.
94
The base is
.
The exponent is
.
Its expanded form is
.
The value of 94 is
.
Answer:
Step-by-step explanation:
The base is 9
The exponent is 4
The expanded form is 9x9x9x9
The value of 9 to the fourth is 6,561
Answer:
The base is ✔ 9
The exponent is ✔ 4
Its expanded form is ✔ 9 x 9 x 9 x 9
The value of 94 is ✔ 6,561
Step-by-step explanation: Got it right on Edge.
Suzie ate brunch at a restaurant. The bill came to $6 .If she left a 15% tip, how much was the tip
Answer:
0.9 Its the answer,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Which angle is vertical to
(Will reward)
Algebra 2 Please Help
What are the possible numbers of positive real, negative real, and complex zeros of f(x) = 6x3 − 3x2 + 5x + 9?
Answer:
Positive Roots: 2 or 0
Negative Roots: 1
Step-by-step explanation:
f (x) = 6x3 − 3x2 + 5x + 9
To find the possible number of positive roots, look at the signs on the coefficients and count the number of times the signs on the coefficients change from positive to negative or negative to positive.
f (x) = 6x3 − 3x2 + 5x + 9
Since there are 2 sign changes from the highest order term to the lowest, there are at most 2 positive roots (Descartes' Rule of Signs). The other possible numbers of positive roots are found by subtracting off pairs of roots (2 − 2).
Positive Roots: 2 or 0
To find the possible number of negative r oots, replace x with −x and repeat the sign comparison.
f (−x) = 6(−x)3 − 3(−x)2 + 5 (−x) + 9
Simplify each term.
Apply the product rule to −x.
f (−x) = 6 ((−1)3x^3) − 3(−x)^2 + 5 (−x) + 9
Raise −1 to the power of 3.
f (−x) = 6 (−x^3) − 3(−x)^2 + 5 (−x) + 9
Multiply −1 by 6.
f (−x) = −6x^3 − 3(−x)^2 + 5 (−x) + 9
Apply the product rule to −x.
f (−x) = −6x^3 − 3 ((−1)^2(x^2)) + 5 (−x) + 9
Raise −1 to the power of 2.
f (−x) = −6x^3 − 3 (1x^2) + 5 (−x) + 9
Since there is 1 sign change from the highest order t erm to the lowest, there is at most 1 negative
root (Descartes' Rule of Signs). Negative Roots: 1
The possible number of positive roots is 2 or 0, and the possible number of negative roots is 1. Positive Roots: 2 or 0
Negative Roots: 1
Help plz ASAP brainliest
Answer:
15
Step-by-step explanation:
Find the sum of 2x2 – 8x — 6 and 9x2 – 8.
Answer:
Submit Answer
Answer:f
( x ) = x , g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 , g ( x ) = 2 x − 2 f ( x ) = x 2 , g ( x ) = 7 x − 1
in short ways the answer is 7 x − 1
Hence , the sum is [tex]11x^2-8x-14[/tex].
WHAT IS A POLYNOMIALIn mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
How to Solve?Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].
So, we can write it as :
[tex]2x^2 -8x-6+9x^2-8[/tex]
Writing like terms together:
[tex]= 2x^2+9x^2-8x-6-8[/tex]
[tex]=11x^2-8x-14[/tex]
Hence , the answer is [tex]11x^2-8x-14[/tex].
Learn more about Algebraic expressions :
https://brainly.com/question/395066
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WILL MARK BRAINLYIST
Answer:
what's the question
Step-by-step explanation:
lol but u could mark me brainlyist
Answer:
.....................................
Step-by-step explanation:
Item 2: help asappp please :)
Answer:
A is correct. i mean 75°
60°+45°=95°
180°- 95°=75°
An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, how high is the roof in the drawing?
9.19 inches.
5.2 inches.
8.13 inches.
19.23 inches.
Please help!!!
Answer:
5.2
Step-by-step explanation:
I took the Quiz.
If An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, then the roof is 8.13 high in the drawing.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts.
Based on the given conditions formulate 1.25÷10=1+x
If the fraction is defined, the denominator cannot equal 0,x≠0
Append the inequality as the domain x≠0
Multiply both sides by the common denominator:
1.25×10x/10=10x/x
Reduce the fractions: 5x/4=10
5x=40
x=8
It is approximately near to 8.13 inches.
Hence, 8.13 inches high is the roof in the drawing.
To learn more on fractions click:
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NAME
7. Factor each quadratic expression,
Step-by-step explanation:
x² - 2x - 35 = (x - 7)(x + 5).
x² + 3x - 54 = (x + 9)(x - 6).
x² - 4x + 4 = (x - 2)².
x² - 121 = (x + 11)(x - 11).
2x² + x - 15 = (2x - 5)(x + 3).
6x² - 7x - 24 = (3x - 8)(2x + 3).
3x² - 10x + 8 = (3x - 4)(x - 2).
10x² + 9x - 9 = (5x - 3)(2x + 3).
12x² + 25x + 12 = (4x + 3)(3x + 4).
15x² - x - 6 = (5x + 3)(3x - 2).
I really need help thanks
Solve each of the following equations.
(4b + 11)(3b - 7) = 0
Answer:
4b = 4(11/4)
3b = 3(7/3)
Bryan has a number cube and
the spinner shown. What is
the probability of rolling a
prime number and spinning
yellow?
01/12
01/8
Answer:
1/8
Step-by-step explanation:
That's the same assignment I have and you just have to think it through mate.
an=-3+5(n-1) written in function form
also whats the y intercept?
Answer:
written function is 5n-8
Step-by-step explanation:
there is no y-intercept
A flower garden has 3 red rose bushes, 2 yellow rose bushes, and 5 white
rose bushes. What is the ratio of yellow rose bushes to the total number
of rose bushes?
A 1:5
B. 1:4
C. 2:5
D. 2:4
sam counted his heart beats while resting his heart beat 220 times in 4 minutes Sam heart beat at the same rate for the 4min .complete the ratio of beats to min
Answer: 220:4 or 220 to 4
Step-by-step explanation:
Answer:220:4
Step-by-step explanation:
Given the test result, the probability that carbon emissions from the factory are actually within the permissible level is
.
Answer: 0.9132
Step-by-step explanation: PLATO
Ivan has 6 times as many blue beads as red beads. he has 49 red and blue beads in all. how many blue beads does Ivan have
Answer:
Ivan has 42 blue beads.
Step-by-step explanation:
We need to find how many blue beads Ivan has.
Blue beads = 6 times as many as red beans
b = 6r
r + b = 49
r + (6r) = 49
7r = 49
Divide both sides by seven to isolate r
r = 7
b = 6(7)
b = 42
Fourteen out of the twenty people in your class have black hair.
what is the circumference of a 12mm circle
Answer:
The circumference is 37.7 mm.