Answer:
first you distribute the five making it 10x-30+20=10
second you combine like terms making it 10x-10=10
third you isolate the variable making it 10x=20
Finally you divide both terms by ten giving you x=2 as your answer.
What is the factorization of the trinomial below?
-x^2 - 2x + 48
A. -1(x - 8)(x + 6)
B. -1(x + 8)(x - 6)
C. (x + 6)(x - 8)
D. (x - 6)(x + 8)
Answer:
The answer to this question is A
I HAVE ATTACHED THE QUESTION
Answer:
x=1.5 and x= -1.5
Step-by-step explanation:
thats where the graph crosses the x axis (which basically is y=0)
Answer:
Step-by-step explanation:
x² - 2 = y
x² - 2 = 0
x² = 2
x = √2
x = ±1.4
Please answer all correctly !!
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
To convert from polar to Cartesian coordinates, recall that [tex](x,y)=(r\:cos\theta,r\:sin\theta)[/tex], thus, [tex](x,y)=(6\:cos\frac{5\pi}{6},6sin\frac{5\pi}{6})=(6(-\frac{\sqrt{3}}{2}),6(\frac{1}{2}))=(-3\sqrt{3},3)[/tex]
Therefore, C is the correct answer
Problem 2
Convert from polar to Cartesian coordinates:
[tex](x,y)=(-5\:cos\frac{2\pi}{3},-5\:sin\frac{2\pi}{3})=(-5(-\frac{1}{2}),-5(\frac{\sqrt{3}}{2}))=(\frac{5}{2},\frac{-5\sqrt{3}}{2})[/tex]
Therefore, U is the correct answer
Problem 3
Since [tex]r=\sqrt{x^2+y^2}[/tex], then [tex]r^2=x^2+y^2[/tex]. Don't also forget to use the substitution [tex]x=r\:cos\theta[/tex]:
[tex]x^2+y^2-7x=0\\\\r^2-7rcos\theta=0\\\\r(r-7cos\theta)=0\\\\r-7cos\theta=0\\\\r=7cos\theta[/tex]
Therefore, B is the correct answer
Problem 4
[tex]r=(tan\theta)(sec\theta)\\\\r=(\frac{sin\theta}{cos\theta})(\frac{1}{cos\theta})\\ \\\frac{r^2}{r}=(\frac{rsin\theta}{rcos\theta})(\frac{r}{rcos\theta})\\ \\\frac{x^2+y^2}{\sqrt{x^2+y^2}}=(\frac{y}{x})(\frac{\sqrt{x^2+y^2}}{x})\\ \\x^2+y^2=\frac{y(x^2+y^2)}{x^2}\\ \\1=\frac{y}{x^2}\\\\x^2=y[/tex]
Therefore, A is the correct answer
Expand to write an equivalent expression…
1/2(-4x + 2y)
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
20 inches²
Step-by-step explanation:
perimeter = 8 + 3 + 5 + 4
= 20 inches²
What is the equation of the axis of symmetry?
Solve each of the following equations. Show its solution set on a number line. Check your answers. 7m+4=1
PLS HELP WILL GIVE BRAINLIEST
Answer:
x=-3/7;x=-5/7
Step-by-step explanation:
The area of'a rectangular piece of cardboard is 108 em and its length is 18em. Find the width of the cardboard
Answer:
I think you meant cm, not em. So the answer is 6 cm.
Step-by-step explanation:
18cm x 6cm = 108 cm
Graph the solution for the following linear inequality system. Click on the graph until the final result is displayed.
y ≥ 0
y < x
x + y < 6
Answer:
Step-by-step explanation:
In the diagram, ABCD is a parallelogram. Write an argument to support the claim that
M x = M y
The angles m∠x = m∠y because alternate interior angles are equal.
What is a parallelogram?A parallelogramis a quadrilateral in which opposite sides are equal and parallel to each other.
The opposite angles are also congruent, whereas consecutive interior angles are supplementary.
In the quadrilateral ABCD:
m∠x = m∠y (alternate interior angles are equal)
The angles m∠x = m∠y because alternate interior angles are equal.
Find out more on parallelogram at: https://brainly.com/question/970600
7 is less than y by 5.Find y.
Answer:
12
Step-by-step explanation:
If 7 is less then y by 5, you add 5 to 7
7 + 5 = 12
resulting in y equaling 12
12 - 5 = 7
Need help, Brainliest if correct, Don’t answer if you don’t know.
the measure of angle c is 120
Answer:
C = M = 120
i hope this helps
For context, question 6 is:
What inverse operation will be used to undo the volume of Julie's jewelry box to find its edge lengths?
Volume formula for a cube is: volume = edge^3
//I have already answered This, I need help with #7, which is:
"If V = 216, what is the edge length of Julie's jewelry box?"
Answer:
6
Step-by-step explanation:
The inverse of cubed is cubed root. The cubed root of 216 is 6.
Give the center and radius of the circle described by the equation and graph the
equation. Use the graph to identify the domain and range.
(x+3)² + (x - 2)² = 9
Answer:
I don't know the exact answer but, I had a problem like this the other day. This is how to find it out. I am just in a rush so I have to go if not I would help you figure it out.
Step-by-step explanation:
Write the equation of each circle.
1. center at (9, 0), radius 5
SOLUTION:
ANSWER:
2. center at (3, 1), diameter 14
SOLUTION:
Since the radius is half the diameter, r = (14) or 7.
ANSWER:
3. center at origin, passes through (2,2)
There are two numbers. The smaller number is 32 less than the larger number. If the larger number is increased by 10, it will be 4 times that of the smaller number. Find the larger number.
Step-by-step explanation:
Let the larger no be = a
Difference of the numbers = a - 32
As per the question;
(a + 32) = 5(a - 32)
⇒ a + 32 = 5a - 160
⇒ 128 = 4a
⇒ a = 32
∴ The larger no is 32.
Add:
Help help help help
1350 + 238
Which of the following choices represents the average of other four?
A)4. B)-3. C). -4. D). -17. E). 5
Answer:
B
Step-by-step explanation:
Let's add some numbers together and divide by the numbers of numbers. The answer should be among these.
4 + 5 + -4 + -3 = 2
4/2 = 2.
-17 + -4 + 4 + 5 = -12
-12/4 = -3.
The answer is B.
Please help
I don’t know what to do with this
Answer:
The prediction should be 5 via interpolation.
Step-by-step explanation:
Based on the values you have, the linear equation is f(x)=x-1. So replace x with the number you're looking for (6).
In a general sense, to extrapolate is to infer something that is not explicitly stated from existing information. Interpolation is an estimation of a value within two known values in a sequence of values.
Help solve for “q”
—————————————
Digram:-
[tex] \\ [/tex]
[tex]\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\put(5,1){\vector(1,0){4}}\put(5,1){\vector(-1,0){4}}\put(5,1){\vector(1,1){3}}\put(2,2){$\underline{\boxed{\large\sf a + b = 180^{\circ}}$}}\put(4.5,1.3){$\sf a^{\circ}$}\put(5.7,1.3){$\sf b^{\circ}$}\end{picture}[/tex]
[tex] \\ [/tex]
STEP :-
[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]
{Linear pair}
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ}= 18 {0}^{ \circ} - {117}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ}=63^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt4q - 1{}^{ \circ}=63^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt4q =63^{ \circ} + 1{}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt4q =64{}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt \: q = \dfrac{64}{4}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt \: q = \dfrac{16 \times 4}{4}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt \: q = \dfrac{16 \times \cancel4}{\cancel4}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt \: q = \dfrac{16}{1}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \bf q = 16 \degree[/tex]
[tex] \\ \\ [/tex]
Verification:
[tex] \\ [/tex]
[tex] \dashrightarrow \tt(4 \times 16- 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt(64- 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt63^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt180^{ \circ} = 18 {0}^{ \circ} [/tex]
[tex] \\ [/tex]
LHS = RHS
HENCE VERIFIED!
Answer:
Value of [tex]\sf\purple{q\: = \:16.}[/tex]
Step-by-step explanation:
[tex]\rightarrow[/tex]As we know that,
Sum all angles that lie on a straight line = [tex]\sf\blue{180°}[/tex]
So,
[tex]\rightarrow[/tex] [tex]\sf{(4q-1)°+ 117°\: = \:180°}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{(4q-1)\: = \:180-117}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{(4q-1)\: = \:63}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{4q\: = \:63+1}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{q\: = \:\frac{64}{4}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{q\: = \:16}[/tex]
Thus, [tex]\sf\purple{q\: = \:16.}[/tex]
_________________________________
Hope it helps you:)
If a family of three splits a 33.66 bill evenly how much will each family member owe
Answer:
$11.22
Step-by-step explanation:
Divide 33 by 3 and also divide .66 by 3. You get 11 and .22, add both of those together and you get $11.22
What common donminator of 1/3 and 3/4
Answer:
12
Step-by-step explanation:
The least common denominator (LCD) of 1/3 and 3/4 is 12, because if you multiply the denominators of both fractions, 3 * 4 = 12.
This would change the fractions to-
1/3 * 4/4 = 4/12
3/4 * 3/3 = 9/12
I hope this was helpful! Have a lovely day!! :)
Suppose if, instead of depositing the $600 all at once, you deposit nothing at the beginning and you divide up the $600 into 12 envelopes each with $50. Find the balance after one year if you deposit one $50 envelope each month, all year, into an account that pays 5% APR with monthly compounding.
The balance after one year if you deposit one $50 envelope each month, all year is $613.95.
What is the balance after one year?The balance after 1 year can be determined using this formula:
Amount deposited monthly x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 5% /12 = 0.417%n = number of years = 1 x 12 = 12Annuity factor = 1.004167^12 - 1 / 0.00417 = 12.279082
Balance = 12.279082 x 50 = $613.95
To learn more about annuities, please check: https://brainly.com/question/24108530
hello help me with this question thanks in advance
Answer:
B. 98 ft
Step-by-step explanation:
x^2 + y^2 = z^2
z = sqrt(84^2 + 50^2) = 97.7 ft ~ 98 ft
B. 98 feet
Step by-step explanation:[tex]Solution:\ From\ question\\ 84\ feet\ long\ and\ 50\ feet\ wide\\ so\ he\ will\ run\ \sqrt{{84}^2+{50}^2}\ \approx98\ feet[/tex]
PLEASE HELPPP!!!!!!!!
If 0.000689 =689 ×10 ^n, find the value of n
Will n be negative or positive, that is all I need
Thanks
Answer:
n = 6
Step-by-step explanation:
To find the exponent of 10, you can write the equivalent multiplier in standard form, then identify the place value of the 1 in the multiplier.
0.000689 = 689 × 0.000001
The 1 is in the 6th place to the right of the decimal point. The place value of digits in that place is 10^-6
0.000689 =689 × 10^n = 689 ×10^-6
n = -6
_____
In the attached, your number would fill in the blanks to the right of the decimal point. The least-significant digit (9) would have a value of 9×10^-6.
a bicycle has a listed price of 749.95 before tax. if the sales tax rate is 9.5%, find the total cost of the bicye with sales tax included
Answer:
821.20
Step-by-step explanation:
The tax is added to the listed price in order to find the total cost. The tax is computed by multiplying the listed price by the tax rate.
tax = 749.95 × 0.095 = 71.25 . . . . . (rounded up from 74.24525)
total cost = listed price + tax = 749.95 +71.25 = 821.20
The total cost of the bicycle with sales tax included is 821.20.
Answer:
$821.20 (nearest cent)
Step-by-step explanation:
If a sales tax of 9.5% is applied,
the final cost of the bicycle = 100% + 9.5% = 109.5% of its listed price
Convert 109.5% into a decimal:
109.5% = 109.5/100 = 1.095
So 109.5% of $749.95 = 1.095 × 749.95
= $821.20 (nearest cent)
Rewrite the following without an exponent. (9/5)^-1
Answer:
5/9
Step-by-step explanation:
What we have here is the reciprocal of (9/5). Inverting (9/5) results in (5/9), which is the desired result.
The sum of two integers is 72 and their difference is 8. Find the integers
The number 1 is a factor of _________.
A) all odd numbers
B) all even numbers
C) all whole numbers
Answer:
The number 1 is a factor of C)all whole numbers.
1 is a factor of all whole numbers.
Every single number, including odd numbers and even numbers, is divisible by 1 (evenly, without any remainders)
Remember, whole numbers include odd numbers, even numbers, and 0.
note:-Hope everything is clear; if you need any more explanation and/or clarification, kindly let me know, and I will comment and/or edit my answer.
I need help with this question and a step by step explanation for future references, Thanks!
Answer:
x = 7
y = -2
Step-by-step explanation:
Equation 1: 2x + y = 12
Equation 2: x - y = 9
Rewrite Equation 2 to make x the subject:
⇒ x = 9 + y
Substitute this into Equation 1 and solve for y:
⇒ 2(9 + y) + y = 12
⇒ 18 + 2y + y = 12
⇒ 18 + 3y = 12
⇒ 3y = -6
⇒ y = -2
Substitute found value of y into the rewritten Equation 2 and solve for x:
⇒ x = 9 + (-2)
⇒ x = 7
Step-by-step explanation:
2x + y = 12 equ 1
x - y = 9 equ 2
from equ 2 make x the subject
x - y = 9
x = 9 + y equ 3
substitute equ 3 to equ 1
2x + y = 12
2(9 + y ) + y = 12
18 + 2y + y = 12
3y = - 6
y = -2
substitute y = -2 into equ 3
x = 9 + (-2)
x = 9 - 2 = 7
(x, y) = (7, -2)
let's prove and see if we are correct
2x + y = 12
input the values of (x, y) = ( 7, -2) into the question
2(7) + (-2) = 12
14 - 2 = 12
12 = 12
for the second equation
x - y = 9
Input the values of (x, y) = ( 7, -2) into the question
7 - (-2) = 9
7 + 2 = 9
9 = 9
.............help me
Answer:
A Translation 2 units left and 1 unit down
Step-by-step explanation: