Answer:
Step-by-step explanation:
An 18-foot board is leaning against a wall. It is set 6 feet from the base of the wall. How far up the wall does the board reach? Round your answer to the nearest tenth of a foot.
Answer: 19
Step-by-step explanation:
Write the following quadratic expression in standard form: ( 2 x − 1 ) ( 3 x − 1 )
Answer:
6[tex]x^{2}[/tex] - 5[tex]x[/tex] + 1
Step-by-step explanation:
Standard form is: [tex]ax^{2} +bx+x[/tex]
To reach that you have to distribute:
(2x - 1) (3x - 1)
2x (3x - 1) = 6[tex]x^{2}[/tex] - 2[tex]x[/tex]
-1 (3x - 1) = -3[tex]x[/tex] + 1
Combine like terms:
6[tex]x^{2}[/tex] - 5[tex]x[/tex] + 1
The sum of two numbers is 25. The difference between twice the first number and the second number is -10. Find the numbers
Answer:
15 and 10
Step-by-step explanation:
Let the two numbers be x and y
x+y= 25
2x-2y=-10
if an is defined as a geometric sequence, is the sequence 1/an also a geometric sequence? explain your reasoning.
Answer:
Since An/An-1 = r
(1/An)/(1/An-1) = An-1/An = 1/r
so, the ratio between terms is still constant.
Step-by-step explanation:
If an is defined as a geometric sequence, is the sequence 1/an also a
geometric sequence because the ratio between terms remain constant.
What is a geometric sequence and how to find its nth terms?Suppose the initial term of a geometric sequence is a and the term by which we multiply the previous term to get the next term is r
Then the sequence would look like
[tex]a, ar, ar^2, ar^3, \cdots[/tex]
(till the terms to which it is defined)
Thus, the nth term of such sequence would be[tex]T_n = ar^{n-1}[/tex]
Since An/An-1 = r
(1/An)/(1/An-1) = An-1/An = 1/r
Therefore, the ratio between terms is still constant.
Learn more about geometric sequence here:
https://brainly.com/question/2735005
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Four lines are shown as a possible line of best fit" for the given data points.
Based on the plotted points which line is the BEST fit?
Aline a
B
line b
C
linec
lined
D
Answer:
line d
Step-by-step explanation:
my brain
hajsuwyiwhsbs
How do u do this solve for x
Answer:
The answer is b: 25
Note however that the shape of the diagram does not match the numbers on it. So either it is poorly drawn, or I am misinterpreting the numbers. It seems pretty clear though that the image is incorrect, as the two segments both marked as being 25 units long are represented at different lengths.
Step-by-step explanation:
The image here does not fit the numbers. Note that the bottom triangle has two sides with given lengths of 25 units, but they are drawn as different lengths.
Let's plough on though, and find a better image of what that shape would be.
Starting with the bottom triangle:
Given that the two sides of the bottom triangle are both 25 units in length, we know that it is an isosceles triangle (despite its depiction otherwise). Because of that, we know that the two bottom angles are equal. We already know that the top corner is 90°, and that the sum of the angles in a triangle must be 180° This means that the two bottom angles (again, contrary to how its drawn) are both equal to 45°
Now that we have that information, we can look at the over triangle. We know that the bottom right corner is 45°, and that the bottom left is 90°. That tells us that the top angle is also 45°.
With that said, we can redraw the image with the proper proportions. See the attached image.
That very much simplifies things. The line separating the triangles bisects the hypotenuse of the larger triangle, meaning that x is also equal to 25.
To be sure of that though, we can prove it another way. Given that the bottom two corners are both 45, we can use the sine rule to measure x. The sine rule states that the sine of each angle in a triangle has the same ratio to their opposite sides. Usually expressed as:
[tex]\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}[/tex]
where a, b and c are the side lengths, and A, B and C are the angles of the corners opposite those sides.
With that we can take the two parts of the overall triangle's hypotenuse, 25 and x, and say that each of those divided by the sine of the angle opposite them is equal to each other:
[tex]\frac{x}{\sin 45} = \frac{25}{\sin 45}[/tex]
This turns out to be very easy to solve, as both sides have the same denominator. As a result, we can just multiply both sides by sin 45, giving us:
x = 25.
Help me on this math problem quick
Q=4P
Step-by-step explanation:
4=4(1)
32=4(8)
60=4(15)
write an equation for the table below representing the relationship between the number of games and the total cost
Answer:
Answer is the Equation is 2x+2
Answer:
2x+2
Step-by-step explanation:
hope it helpssssss
Jenny has $300. She found a bank with an interest rate of 3.8% compounded monthly. How much interest would she earn in one year? (Round to the nearest cent-- 2 decimal places)
Answer:
311.60
Step-by-step explanation:
Please help my test is tomorrow thank you god bless you all
Answer:
"(2x - 1) (x - 7)." i think
Step-by-step explanation:
Please help me with this!!!
Answer:
True
they intersect at only one point
hope it will help you
your day will full of happiness
Answer:
i think true
Step-by-step explanation:
corret because vertical Lines intersect at one point after a certain amount of time
In circle M below, m
Answer:
we have:
AMC = 2ABC
=> 10x - 12 = 2(4x + 6)
<=> 10x - 12 = 8x + 12
<=> 2x = 24
<=> x = 12
with x = 12 => ABC = 4.12 + 6 = 48 + 6 = 54⁰
Answer:54
Step-by-step explanation:
Which set of integers is ordered from least to greatest -13 , 4, 0, -8 -5 , -2, 3, 1 -12 , -18 , -4 , 7 -15, 6 , -9 , -21
Given:
The set of integers in the options.
-13 , 4, 0, -8
-5 , -2, 3, 1
-12 -18 , -4 , 7
-15, 6 , -9 , -21
To find:
The set of integers that is ordered from least to greatest.
Solution:
We know that the larger negative value is the smaller value and the larger positive value is the greater value.
Ordered from least to greatest means first we need to write the smallest value, write the value larger than and the greatest value occurs at the end.
In option A, we have -13 , 4, 0, -8. Here, 4>0. So, the option A is incorrect.
In option B, we have -5 , -2, 3, 1. Here, 3>1. So, the option B is incorrect.
In option C, we have -12 -18 , -4 , 7 Here, -12>-18. So, the option C is incorrect.
In option D, we have -15, 6 , -9 , -21. Here, 6>-9. So, the option D is incorrect.
Therefore, all the options are incorrect.
Can you help me with my work don’t send no link
Answer:
A and C!
Step-by-step explanation:
a: for a just move all the terms not containing x to the right side of the equation!
c: divide each term by 4 and simplify!
-
hope this helped <3
Wiki
Help I’ll give Brainly est
guess who's going to fail ;)
(pls answer)
Find the volume of the cylinder
Answer:
V=πr2h=π·42·3≈150.79645
Step-by-step explanation:
I need help please hurry up
Answer:
6
Step-by-step e6xplanation:
4x + 3 = x + 2(x + 7)
step by step
Answer:
x=11
Step-by-step explanation:
4x + 3 = x+ 2x + 14
4x + 3 = 3 x + 14
4x - 3x = 14 -3
x= 14 - 3
x= 11
Answer:
x=11
Step-by-step explanation:
Distribute :
4x + 3 = x + 2( x+ 7)
4x + 3 = x + 2x + 14
Combine like terms :
4x + 3 = x + 2x + 14
4x + 3 = 3 x+ 14
Subtract 3 from both sides of the equation :
4x + 3 = 3x + 14
4x + 3-3 = 3x + 14 -3
Simplify :
what ever way you know how to subtract the numbers you should get this answer :
4x = 3x + 11
Subtract 3 from both sides of the equation :
4x = 3x + 11
4x - 3x = 3x + 11 - 3x
Simplify :
combine like terms
multiply by 1
combine like terms
x= 11
2+2
1+1
5+10
q+3=21 What is q
Answer:
18
Step-by-step explanation:
21 - 3= 18
/:
Answer:
Step-by-step explanation:
2+2 = 4
1+1 = 2
5+10 = 15
q+3 = 21, q = 21-3 = 18
Or if you meant all of them added together is 21, 2+2+1+1+5+10+q+3=21
q = -3
4 A triangle with a height of 3 cm and a base
of x cm is the result of reducing each
dimension by a scale factor of one-third.
The area of the original triangle is
162 cm². What was the original length of
the base?
Answer:
L = 36
Step-by-step explanation:
"A triangle with a height of 3 cm and a base of x cm is the result of reducing each dimension by a scale factor of one-third"
We are looking for the original. This triangle was reduced by 1/3, so we would have to mulitply by 3 to get the original triangle measurements.
height = 3 x 3 = 9
length = x * 3
"The area of the original triangle is 162 cm²."
Area = Base x Height/2
162 = (x*3) * 9/2
324 = (x*3)*9
36 = x*3
x = 12
What was the original length of the base?"
Length = x * 3
= 12 * 3
Length = 36
I hope this helped!
Which expression is equal to x^2- y^5?
Hector made a scale drawing of the front of a
building.
• The front of the actual building is in the
shape of a rectangle with a height of
21 feet and a width of 15 feet.
• The height of the building in Hector's
drawing is 3.5 inches, and the width is
2.5 inches.
What scale factor did Hector use in his scale
drawing?
A. 1 inch : 2 feet
B. 1 inch : 4.3 feet
C.1 inch : 6 feet
D. 1 inch : 8.4 feet
Option B is correct. I did the test and it shows 100% I hope it helped!
Please help!!!
Factor the following
[tex]3x^3-x^2y+6x^2y-2xy^2+3xy^2-y^3[/tex]
Show work to receive full credit
Answer:
(3x - y)(x + y)²Step-by-step explanation:
3x³ - x²y + 6x²y - 2xy² + 3xy² - y³ =x²(3x - y) + 2xy(3x - y) + y²(3x - y) =(3x - y)(x² + 2xy + y²) = (3x - y)(x + y)²Answer:
[tex](3x-y)(x+y)^2[/tex]
Step-by-step explanation:
[tex]3x^3-x^2y+6x^2y-2xy^2+3xy^2-y^3[/tex]
Multiply and combine like terms.
[tex]3x^3+xy^2-y^3+5xy^3[/tex]
Consider [tex]3x^3+xy^2-y^3+5xy^3[/tex] as a polynomial over variable x.
[tex]3x^3+5xy^2+y^2x-y^3[/tex]
Find one factor of the form kx^m +n, where kx^m divides the monomial with the highest power 3x^3 and n divides the constant factor −y^3 . One such factor is 3x−y. Factor the polynomial by dividing it by this factor.
[tex](3x-y)(x^2+2xy+y^2)[/tex]
Consider [tex]x^2+2xy+y^2[/tex]. Use the perfect square formula, [tex]a^2+2ab+b^2[/tex] = [tex](a+b)^2[/tex], where a=x and b=y.
[tex](x+y)^2[/tex]
Rewrite the complete factored expression.
[tex](3x-y)(x+y)^2[/tex]
1. Find the surface area of the rectangular prism below.
7 in. 12 in
A. 1620 in2
B. 882 in2
C. 300 in2
D. 810 in2
Answer:
I think its c!!!!!!!!!!!!!!!!!
Solve for n.
7n - 4 = 317
n =
Step-by-step explanation:
[tex]7n - 4 = 317 \\ 7n = 317 + 4 \\ 7n = 321 \\ n = \frac{321}{7} \\ n = 45 \frac{6}{7} [/tex]
Answer:
[tex]n = \frac{321}{7} [/tex]
Step-by-step explanation:
1) Add 4 to both sides.
[tex]7n = 317 + 4[/tex]
2) Simplify 317 + 4 to 321.
[tex]7n = 321[/tex]
3) Divide both sides by 7.
[tex]n = \frac{321}{7} [/tex]
Therefor, the answer is n = 321/7 and in decimal form it would be, 45.857143.
The vertices of GHJ are shown below. If this triangle is translated 2 units right and 1 unit down, what is the coordinate for vertex G'?
G (10, 10)
H (12, 12)
I (14, 14)
A
(12, 10)
B
(10, 9)
C
(12, 9)
D
(12, 14)
how do u convert -95 3/4 as a decimal ?
Answer:
Simply -95.75
Step-by-step explanation:
3/4 or 3 ÷ 4= 0.75
-95 + -0.75 = -95.75
Mr. Turner has two Math 2 classes, with one class, he lectured, and the students took notes.
In the other class, the students worked in small groups to solve math problems. After the first
test, Mr. Turner recorded the student grades to determine if his different styles of teaching
might have impacted student learning,
Class 1: 80, 81, 75, 70, 72, 74, 76, 77, 77, 79, 84, 88, 90, 80, 78
Class 2: 70, 90, 88, 89, 86, 86, 82, 77, 79, 84, 84, 86, 87, 88, 88
Round to nearest degree.
8
х
11
Answer:
36
Step-by-step explanation:
tan^-1(8/11)=36.027