Answer:
x = -41
y = 9
Step-by-step explanation:
Begin by multiplying the top equation by 2
2x = -8y - 10
The second equation requires a little more care.
Start by moving 10y to the right. Normally the y value is on the left, but we are going to be substituting for 2x.
2x = - 10y + 8
What I've done is not the usual practice, but there is nothing wrong with it.
Now since both right sides are equal to 2x, you can substitute for them
-8y - 10 = -10y + 8 Add 10y to both sides
-8y + 10y - 10 = 8
2y - 10 = 8 Add 10 to both sides
2y = 8+10
2y = 18 Divide by 2
y = 18/2
y = 9
Use the second original equation to solve for x
2x + 10y = 8
2x + 10*9 = 8
2x + 90 = 8 Subtract 20 from both sides
2x = 8 - 90
2x = - 82 Divide by 2
x = -822/2
x = - 41
I need help on this please!
No links
Study guide for exam.
Right Triangles
Evaluate the function requested. Write your answer as a fraction in lowest terms.
Find cos B.
a. cos B = 41/40
b. cos B - 9/41
c. cos B = 40/41
d. cos B = 9/40
Please select the best answer from the choices provided
Answer:
B. cos B = 9/41
Step-by-step explanation:
I calculated it logically
Answer:
b
Step-by-step explanation:
cos B = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{9}{41}[/tex] → b
PLSSS HElpppp!! DUE TODAYYY⛔️
Some children measured the lengths of their feet. The lengths are given in the line plot. What is the difference in length between the shortest and longest foot?
Answer:
Step-by-step explanation:
Line m contains the points G(-2,3) and H (5,1).
What is the slope of a line perpendicular to line m?
Answer:
3.5
Step-by-step explanation:
Given points are ,
G(-2,3) H (5,1)Firstly find the slope of the line passing through these two points . Therefore ,
=> m = y₁ - y₂ / x₁ - x ₂
=> m = ( 3 - 1)/(-2-5)
=> m = -2/7
The slope of line perpendicular to it will be negative of reciprocal of the slope . Let m' be the slope of perpendicular line .=> m' = -1/m
=> m' = -1 ÷ -2/7
=> m' = -1 × -7/2
=> m' = 7/2 = 3.5
Hence the slope of the line perpendicular to the given line is 3.5 .Solve the equation for exact solutions over the interval [0, 2π).
Answer:
[tex]\displaystyle x=\left\{0, \frac{2\pi}{3}, \frac{4\pi}{3}\right\}[/tex]
Step-by-step explanation:
We want to solve the equation:
[tex]-2\cos^2(x)=-\cos(x)-1[/tex]
Over the interval [0, 2π).
First, notice that this is in quadratic form. So, to make things simpler, we can let u = cos(x). Substitute:
[tex]-2u^2=-u-1[/tex]
Rearrange:
[tex]2u^2-u-1=0[/tex]
Factor:
[tex](2u+1)(u-1)=0[/tex]
Zero Product Property:
[tex]2u+1=0\text{ or } u-1=0[/tex]
Solve for each case:
[tex]\displaystyle u=-\frac{1}{2}\text{ or } u=1[/tex]
Back-substitute:
[tex]\displaystyle \cos(x)=-\frac{1}{2}\text{ or } \cos(x)=1[/tex]
Using the unit circle:
[tex]\displaystyle x=\left\{0, \frac{2\pi}{3}, \frac{4\pi}{3}\right\}[/tex]
A secret agent being a mathematician, transmitted an important 2-digit locker number in
the following manner: “The difference in the digits is four. The sum of the number and the number formed by reversing the digits is 132.” Find the locker number.
Answer:
48
Step-by-step explanation:
Since there are only a few possibilities, I was able to guess and check:
15+51=66 and 66 is not 132
26+62=88 and 88 is not 132
37+73=110 and 110 is not 132
48+84=132 and 132 is 132.
Please give Brainliest!
i don’t know if it’s A or B
Answer:
A
Step-by-step explanation:
this is true due to the ratio of a 30-60-90 triangle, which is 1-2-sqrt(3). The 12 corresponds to the sqrt(3), which means that the 1 corresponds to 4sqrt3 and the 2 to 8sqrt3.
:)
Help pls will give BRAINLIST
8 times the sum of a number and 5 is 3 years the variable Y for the unknown number
Answer:
8(y+ 5) =3
Step-by-step explanation:
How many different 10-letter arrangements are possible using the letters in the word AUTOMOBILE?
Answer:
1,814,400
Step-by-step explanation:
the formula would be: nPr / x_1 ! x_2!....
since there are 2 O's and it is a 10-LETTER ARRANGEMENT, the equation would now be:
10P10 / 2!
10P10 would simplify down to 10! so you would have :
10! / 2!
if you simplify this above: you would get 1,814,400
Can someone please help me I can will mark u brilliant
Answer:
8
Step-by-step explanation:
if you take all of the numbers 5 5 6 6 7 7 7 8 8 8 9 9 9 9 10
8 is in the midle thus making it the median
i apologise if this is wrong i have not done this kind of math in a while, but i hope this helps
Answer:
its 8...................
The graph below has:
Answer:
One repetad linear
Step-by-step explanation:
∠AGB and ∠EGD are □ angles.
Rick, Diane, and Lu are selling cookies, fruit cakes, and chocolate bars in a neighborhood snack sale. The number of cookie packs,
cakes, and chocolate bars sold by each person is given in the table.
A what prices did Rick, Diane, and Lu sell the eatables?
A)
$1.00 for a cookie pack, $2.50 for a fruit cake, and $1.50 for a chocolate bar
B)
$1.50 for a cookie pack, $2.50 for a fruit cake, and $1.00 for a chocolate bar
9
$1.00 for a cookie pack, $1.50 for a fruit cake, and $2.50 for a chocolate bar
D)
$1.50 for a cookie pack, $2.50 for a fruit cake, and $1.00 for a chocolate bar
Answer:
I think it's A
Step-by-step explanation:
but I do not know this clearly
Answer: The Answer is A.
I plugged the numbers into Excel.
Step-by-step explanation:
Find an explicit formula for the geometric sequence -9\,,-18\,,-36\,,-72,...
Answer:
[tex]f(x)=-9(2)^(^x^-^1^)[/tex]
Explanation:
First, we find the common ratio by dividing any term by its previous term. We should do this a couple of times to make sure it's consistent. In this case, our common ratio is 2. Our first (or 1th) term of the sequence is -9, so our formula becomes
[tex]f(x)=-9(2)^(^x^-^1^)[/tex].
The Statistical Abstract of the United States (109th edition) reported that the mean age of all U.S. registered merchant vessels is 23.6 years. Records for 38 randomly selected U.S. registered grain cargo ships showed that the mean age was 26.7 years with a standard deviation of 5.2 years. Is this type of ship older than the national average of all merchant vessels
Answer:
Yes, we can conclude that the ship is older than the national average
Step-by-step explanation:
Population mean, μ = 23.6
Sample mean, xbar = 26.7
Sample size, n = 38
H0 : μ = 23.6
H0 : μ > 23.6
The test statistic :
(xbar - μ) ÷ (σ/√(n))
(26.7 - 23.6) ÷ (5.2/√(38))
3.1 / 0.8435513
Test statistic = 3.675
Decision region :
Reject H0 ; if |Tstatistic| > |Tcritical|
Since we are given the sample standard deviation ; we use the T test distribution
df = 38 - 1 = 37
Tcritical at df = 37 ; α = 0.05 ; rigth tailed :
Tcritical(0.05, 37) = 1.687
3.675 > 1.687 ; Hence, we reject H0 and conclude that there is enough evidence that this type of shop is older than the national average.
if you are to measure the following figure for real,what tool(ruler or meter stick) and unit of measur(m, cm, in,) will you use..........
help me guys plsss
What is the simplified expression for -3(2x-7)+2y+ 2(x+y)?
Answer:
-4x+42+4yStep-by-step explanation:
-3(2x-7) + 2y + 2 (x+y)
-6x+42 + 2y + 2x + 2y
Take the same coefficents and subtract or add
-6x + 2x= -4x
2y + 2y= 4y
Two angles in a triangle have measures of 62° and 15º.What is the measure of the third angle?
Answer:
103 degrees
Step-by-step explanation:
The angles in a triangle always add up to 180 degrees
so 62+15=77
180-77=103
hope it helps :)
Answer:
103º
Step-by-step explanation:
All angles of a triangle add up to 180º
This means:
62º + 15º + the third angle = 180º
Then you just solve:
180º - 77º = 103º
Hope this helps :)
Find the missing length indicated
Please help, no links
Answer:
x = 135
Step-by-step explanation:
m = length of perpendicular line to hypotenuse
81/m = m/144
m² = 81 x 144 = 11664
m =√11664 = 108
Using the Pythagorean theorem:
x² = 81² + 108² = 6561 + 11664 = 18225
x = √18225 = 135
9514 1404 393
Answer:
x = 135
Step-by-step explanation:
Side x is the geometric mean of the hypotenuse segments it touches.
x = √(81×(81+144)) = √81×√225 = 9×15
x = 135
8x²y²-18
factorise in process
Answer:
u
Step-by-step explanation:
8x²y²-182(4x²y²-9)2((2xy)²-3²)2(2xy-3)(2xy+3)stay safe healthy and happy.whats 2 plus 7 plus 3
Answer:
Hi, there your answer will 12
2+7+3=12
Have a nice day
Step-by-step explanation:
Answer:
12Step-by-step explanation:
I added it up XD Thanks for the points.
How much interest is to be paid at 1500 principal, 7% compounded annually, and for 3 years
Answer:
I = 337.56
Step-by-step explanation:
Given that,
Principal, P = 1500
Rate, R = 7%
Time, t = 3 years
We need to find the interest if it is compounded annually. We know that, the amount is given by :
[tex]A=P(1+\dfrac{r}{100})^n[/tex]
Put all the values,
[tex]A=1500\times (1+\dfrac{7}{100})^3\\\\A=1837.56[/tex]
We know that,
Interest = Amount - Principal
I = 1837.56 - 1500
I = 337.56
Hence, the interest is equal to 337.56.
How many holes need to be drilled for 24 parts
PLEASE TELL ME THE ANSWER BUT DONT ATACH LINKS PLEASEEEEEEEE!!!!!
Answer:
B)
Step-by-step explanation:
Answer:
B) [tex]3.87[/tex]×[tex]10^{8}[/tex]
Angle x and 56 are complementary. What is the value of x?
149
34
56
90
Answer:
34°
Step-by-step explanation:
90-56=34°
__________
HELP PLEASE!!!!!! ILL MARK U BRAINLESS!!!!! FOR THE FIRST PERSON!!!
Answer:
54,000 teenagers
Step-by-step explanation:
72/100* 75,000/1=54,000
determine if the two triangles are congruent. If they are, State how you know. NO LINKS!!!!
9514 1404 393
Answer:
SASnotSSSAASStep-by-step explanation:
Look at the angles and sides that are marked, and their relationships to each other. Shared sides are congruent to themselves. Vertical angles are congruent. The possible congruence theorems are ...
SSS SAS AAS ASA (and HL for right triangles--not applicable here)
__
1. two marked sides and the vertical angle between are congruent. The triangles are congruent by the SAS theorem.
2. only one side and angle are marked. Insufficient information. Not congruent.
3. two marked sides and the shared side are congruent. The triangles are congruent by the SSS theorem.
4. the vertical angles, the marked angles, and the marked sides are congruent. The triangles are congruent by the AAS theorem.
write the coefficient of a in 7 a
Given:
The term is 7a.
To find:
The coefficient of "a" in the given term "7a".
Solution:
In the product of a number and a variable, the number is called the coefficient of that variable.
In the expression "7a", the number is "7" and the variable is "a". It means the number 7 is the coefficient of "a".
Therefore, the coefficient of "a" in the given term "7a" is 7.
WHOEVER ANSWERS BOTH GETS BRAINLIEST AND POINTS , pls help and no links!!
Answer:
See below for answers and explanations
Step-by-step explanation:
1) Substitute d=100 into the equation and solve for s:
s=sqrt(9.81d)
s=sqrt(9.81(100))
s=sqrt(981)
s≈31.32
Therefore, the speed of the wave will be about 31.3 m/s
2) Substitute d=1000 into the equation and solve for s:
s=sqrt(9.81d)
s=sqrt(9.81(1000))
s=sqrt(9810)
s≈99.05
Therefore, the speed of the wave will be about 99 m/s