Answer:
(-1, -2) or x=-1 y=-2
Step-by-step explanation:
3x+y=-4 (1)
3x-4y=6 (2)
i used the first equation to subtract the second this cancels out the x
and you are left with:
5y=-10
y=-2
plug this back in:
2x+(-2)=-4
2x-2=-4
add 2 to both sides:
2x=-2
x=-1
I still don’t understand this very well I don’t know how to set up the equation. Pls help?
It’s trigonometry
Answer:
[tex] \displaystyle x \approx 47.44[/tex]
Step-by-step explanation:
we are given a right angle triangle
we want to figure out x i.e hypotenuse
in order to do so we can consider trigonometry i.e sin
remember that,
[tex] \displaystyle \sin( \theta) = \frac{opp}{hypo} [/tex]
given that,theta=21° and opp=17 and hypo=x
Thus substitute:
[tex] \displaystyle \sin( {21}^{ \circ} ) = \frac{17}{x} [/tex]
cross multiplication:
[tex] \displaystyle x\sin( {21}^{ \circ} ) = {17}[/tex]
divide both sides by sin21°:
[tex] \displaystyle x \frac{\sin( {21}^{ \circ} ) }{ \sin( {21}^{ \circ}) }= \frac{17}{ \sin( {21}^{ \circ} ) }[/tex]
By using calculator we acquire:
[tex] \displaystyle x \approx 47.44[/tex]
If
θ
θ
is an acute angle of a right triangle and
tan θ=
3
5
tan θ=35
, what is the value of
cosθ
cosθ
?
Given:
In a right angle triangle θ is an acute angle and [tex]\tan\theta =\dfrac{3}{5}[/tex].
To find:
The value of [tex]\cos \theta[/tex].
Solution:
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
We have,
[tex]\tan\theta =\dfrac{3}{5}[/tex]
It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.
By using Pythagoras theorem,
[tex]Hypotenuse=\sqrt{Perpendicular^2+base^2}[/tex]
[tex]Hypotenuse=\sqrt{(3x)^2+(5x)^2}[/tex]
[tex]Hypotenuse=\sqrt{9x^2+25x^2}[/tex]
[tex]Hypotenuse=\sqrt{34x^2}[/tex]
[tex]Hypotenuse=x\sqrt{34}[/tex]
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos \theta=\dfrac{5x}{x\sqrt{34}}[/tex]
[tex]\cos \theta=\dfrac{5}{\sqrt{34}}[/tex]
Therefore, the value of [tex]\cos \theta[/tex] is [tex]\dfrac{5}{\sqrt{34}}[/tex].
CAN YOU GUYS AND GIRLS PLEASE HELP!!
Answer:
I have no idea
Step-by-step explanation:
The table shows the relationship between the number of cups and total volume of lemonade served.
Cups of Total. Volume Lemonade Served
2 (ounces)
3 16
4 24
32
How many ounces is served per cup of lemonade?
Enter the answer in the box.
ounces per cup=
Answer: 8
Step-by-step explanation:
2 cups = 16
Half of the 16 is 8
PLEASE HELP ME ASAP
ITS IN SQUARE FEET NO GUESSES
Answer:
d should be correct
Step-by-step explanation:
why my answer beacuse i see 4in in the painted area
Solve the following system of equations using the elimination method.
6x - 5y= -1
-6x – 4y = 10
A) (-1,-1)
B) (5,-5)
C) (-2,2)
D) (1,1)
Answer:D
Step-by-step explanation:
Please help ASAP!!!! Will give brainliest!!!
Answer: 0
Step-by-step explanation: it said round to the nearest hundredth when you just need 0.21 so 0.21 rounded to the nearest hundredth is going to be 0.
What is the GCF of 36x^2y and 18xy ^2?
Please i really need the answers
Nevaeh invested $1,200 in an account paying an interest rate of 2⅞ % compounded quarterly. Paisley invested $1,200 in an account paying an interest rate of 2⅝ % compounded continuously. To the nearest dollar, how much money would Nevaeh have in her account when Paisley's money has tripled in value?
Answer:
[tex]Nevaeh \ will \ have \ 1224.33 \ and \ Paisley \ will \ have \ 1275.[/tex]
whoever gets it right gets 10 points and brainliest!
Answer:
92 in
Step-by-step explanation:
just break it down into parts
Answer: 92in²
Step-by-step explanation: area of shaded region=9×12-4×4=92in²
At a fixed interest rate, an investment of $4000 earns $210. How much do you need to invest at the same rate to earn $336?
Answer:
what they said^
Step-by-step explanation:
The quadrilateral shown is a rectangle. What is measure zvw
Answer:
sorry, but I think u got yr question incomplete.
stay safe healthy and happy.u can re post it with figure
two numbers are in the ratio 2:5. If 6 is subtracted from their sum, the result is 50. what is the larger number
Answer:
(2x+5x)-6=50
7x =56
x=8
5>2, so 5 is the bigger one
5*8=40
the answer is 40
Write an equation where x = 8.
Answer:
x (23+12)= 280
Step-by-step explanation:
X=8
add 23 plus 12 which equals 35
then multiply 35 by 8
Hope it helps
Answer:
-x + 39 = 31
Step-by-step explanation:
You would subtract 39 which would make -8. Then you would divide by -1 (x) and your answer is:
x = 8
anyone know how to do this?
40÷95= 0.42
so I would say about 42.1%
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Seth bought a 15 ounce jar of peanut butter for $3.15. what is the unit price?
is 8 yard, 9 yards, and 12 yards right triangle
Answer:
No
Step-by-step explanation:
you can check with the pythagorean theory
[tex]8^{2}+9^{2} =12^{2}[/tex]
64 + 81 = 144
145 = 144
this is not true, therefore those side lengths do not make a right triangle.
Which of the following are possible rational roots of the polynomial function? Check all that apply. F(x) = 5 x2-3x+3
A. ±3
B. ±1
C. ±1/3
D. ±5
E. ±1/5
The possible rational roots are (a) ±3, (b) ±1, (e) ±5
How to determine the possible roots?The polynomial function is given as:
f(x) = 5x^2 - 3x + 3
Take the factors of the first term and the last term
5 = 1, 5
3 = 1, 3
The rational root is then calculated using:
Roots =±(Factors of 3)/(Factors of 5)
This gives
Roots =±(1, 3)/(1, 5)
Solve the expression
Roots = ±1, ±3/5, ±1/5, ±3
Hence, the possible rational roots are (a) ±3, (b) ±1, (e) ±5
Read more about rational roots at:
https://brainly.com/question/17754398
#SPJ1
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
21%
What is the equivalent decimal?
Answer:
0.21
Step-by-step explanation:
Move the decimal two places to the left.
Please help with this (01.02 MC) Simplify negative 6 and 1 over 4 - negative 2 and 1 over 8 . (5 points) Group of answer choices 4 and 1 over 8 negative 8 and 3 over 8 negative 4 and 1 over 8 8 and 3 over 8
Given:
The expression is:
[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]
Write the mixed fractions in the form of improper fractions.
[tex]=-\dfrac{6(4)+1}{4}-\dfrac{2(8)+1}{8}[/tex]
[tex]=-\dfrac{24+1}{4}-\dfrac{16+1}{8}[/tex]
[tex]=-\dfrac{25}{4}-\dfrac{17}{8}[/tex]
Taking LCM, we get
[tex]=\dfrac{2(-25)-17}{8}[/tex]
[tex]=\dfrac{-50-17}{8}[/tex]
[tex]=\dfrac{-67}{8}[/tex]
Now write this improper fraction in the form of mixed fraction.
[tex]=-\dfrac{64+3}{8}[/tex]
[tex]=-\left(\dfrac{64}{8}+\dfrac{3}{8}\right)[/tex]
[tex]=-\left(8+\dfrac{3}{8}\right)[/tex]
[tex]=-8\dfrac{3}{8}[/tex]
Therefore, the correct option is B.
(X+2) (x+8)
expand and simplify
Answer:
X+2=2x
x+8=8x
(2x).(8x)=16x
6x + 3 + 4x = (9 + 10x)?x
Answer:
It has no solution.
Step-by-step explanation:
6x + 3 + 4x = 9 + 10x
10x + 3 = 9 + 10x
10x + 3 - 3 = 9 - 3 + 10x
10x = 6 + 10x
10x - 10x = 6 + 10x - 10x
0 ≠ 6
It has no solution.
A regular bar is 5 ounces and costs $1.25 A gigantic bar is 2 pounds and costs $6.98.
What is the price per ounce for the regular bar?
What is the price per pound of the gigantic bar?
Answer:
An experiment is done to see the health effect of large amounts of aspirin on rats. ... 2. Apples sell for 43 cents a pound. How much do 3.2 pounds of apples cost? ... A solid gold nugget is 23.5 ounces. How much is it worth? 23.5 oz x. $500 lez ... 5. A chocolate bar weighs 4.00 ounces.
Step-by-step explanation:
pls help hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
Step-by-step explanation:
d
Lyndsay visited the beach with her friend. Her beach towel is in the shape of a rectangle. Which is the perimeter of the towel? (1 point)
Answer:
8 meters
Step-by-step explanation:
To find the perimeter follow these steps:
1. add the lengths together (the longe sides) so add 3 meters and 3 meters you get 6 meters
2. add the widths together (the short sides) so add 1 meter and 1 meter you get 2 meters
3. add the total lengths and widths together (6 meters plus 2 meters) you get 8 meters
Have a fantastical day!
Which equation describes the line that passes through the
point (1, 6) and is parallel to the line 2x + y = 3?
A 2x-y=13
B 2x + y = 13
C 2x - y = 8
D 2x + y = 8
I'm thinking of a number. If you multiply it by four and then add 13 you will get 37. What is my number?
Answer: 6
Step-by-step explanation: subtract 13 from 37, you get 24. divide 24 by 4.
Which functions have a vertex with a x-value of 0? Select three options
where do i put the thing at chile hempp me out
Answer:
for just chile id put it at 30 or 20
Step-by-step explanation:
My teacher took off points because I puter meters per second and not meters/second. Are these not the same thing?
Answer:
No
Step-by-step explanation:
Meters per second is how many meters in one second
meters/second is meters divided by one second
Hope this helps you understand better!
It is the same but the teacher may be trying to get you to put it that way for future math problems.