Answer:
(- 1, 1 )
Step-by-step explanation:
- 3x - 4y = - 1 → (1)
3x - y = - 4 → (2)
add (1) and (2) term by term to eliminate x
0 - 5y = - 5
- 5y = - 5 ( divide both sides by - 5 )
y = 1
substitute y = 1 into either of the 2 equations and solve for x
substituting into (2)
3x - 1 = - 4 ( add 1 to both sides )
3x = - 3 ( divide both sides by 3 )
x = - 1
solution is (- 1, 1 )
Ryan has 4 rap songs, 8 country songs, and 2 rock songs.  what is the probability of Ryan picking a rock song or a Pop song
Answer:
Step-by-step explanation:
Total songs = 8 + 4 + 2 = 14 songs
number of rock songs = 2
Number of rap songs = 4
Probability of rock songs = 2/14 = 1/7
Probability of rap songs = 4/14 = 2/7
What is the slope, m, of the line through (-7, -2) and (-6, 7)?
Answer:
Slope = 9
Step-by-step explanation:
(-7 , -2) ; x₁ = -7 and y₁ = -2
(-6 , 7) ; x₂ = -6 and y₂ = 7
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\frac{7-[-2]}{-6-[-7]}\\\\=\frac{7+2}{-6+7}\\\\=\frac{9}{1}\\\\= 9[/tex]
Solve the right angle . Round decimal answers to the nearest tenth
9514 1404 393
Answer:
YZ = 8.5∠X = 70.5°∠Z = 19.5°Step-by-step explanation:
There are a couple of ways to do this. We can find YZ using the Pythagorean theorem, or we can find it using trig functions.
We know from SOH CAH TOA that ...
Cos = Adjacent/Hypotenuse
cos(X) = 3/9 = 1/3
X = arccos(1/3) ≈ 70.5°
Angle Z is the complement of this, so is ...
Z = 90° -70.5° = 19.5°
__
The length of side YZ can be found from ...
Sin = Opposite/Hypotenuse
sin(X) = YZ/XZ
YZ = XZ·sin(X) = 9·sin(70.5°) ≈ 8.485 ≈ 8.5
__
In summary, ...
YZ = 8.5; ∠X = 70.5°; ∠Z = 19.5°
Solve the system using a matrix,
3x – 2y = 2
6x - 5y = -1
9514 1404 393
Answer:
(x, y) = (4, 5)
Step-by-step explanation:
The solution to the matrix equation ...
[tex]\left[\begin{array}{cc}3&-2\\6&-5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}2\\-1\end{array}\right][/tex]
is shown in the attachment. It is found by multiplying the equation on the left by the inverse of the coefficient matrix.
[tex]\left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}4\\5\end{array}\right][/tex]
Vector u has initial point at (3, 9) and terminal point at (–7, 5). Vector v has initial point at (1, –4) and terminal point at (6, –1).
What is u + v in component form?
⟨-10, -4⟩
⟨-5, -1⟩
⟨3, 9⟩
⟨5, 3⟩
Answer:
⟨-5, -1⟩
Step-by-step explanation:
Vector:
A vector is given by its endpoint subtracted by its initial point.
Vector u has initial point at (3, 9) and terminal point at (–7, 5)
Then
[tex]u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)[/tex]
Vector v has initial point at (1, –4) and terminal point at (6, –1).
Then
[tex]v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)[/tex]
What is u + v in component form?
[tex]u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)[/tex]
⟨-5, -1⟩ is the answer.
Best Company sells personalized mugs for $18 each plus a fixed fee of $26 for shipping and handling for the entire order. The Cup Expert Company sells personalized mugs for $22 each plus a fixed fee for $14 for shipping and tandling for the entire orderHow many personalized mugs would a customer have to purchase for the total cost of each company to be the same?
Answer:
3
Step-by-step explanation:
Question 2
Find the Total Surface Area and volume of the prism below. Round to the nearest hundredth, if necessary.
8 cm
16 cm
18 cm
cm squared
Total Surface Area =
cm cubed
Volume =
Back
Next
M
When calculating simple probability,
what goes in the numerator and what
goes in the denominator?
Please.
Answer:
The top number in a fraction. Shows how many parts we have. (The bottom number is the Denominator and shows how many equal parts the item is divided into.)
Step-by-step explanation:
Find the area of the shape below
Answer:
I have questions in physics if you know it answer it
I dont understand.i need help
Answer:
A= 160 in. squared
Step-by-step explanation:
What's the measure of X
A baker has 6 pounds of sugar. He divides into 3 containers. He then uses 1 container to bake pies. Which expression shows how many pounds of sugar the baker used?
Step-by-step explanation:
You have 6 pounds of sugar, when you set it into 3 containers, you will get:
6:3=2 ( pounds per container)
And he used one container for pies it would be:
1 container contains 2 pounds of sugar, so he used 2 pounds of sugar.
Is the following relation a function? (yes/no) (1,3) (2,2) (3,1) (2,0) (1,-1) and explain why or why not
Answer:no
Step-by-step explanation:
the (x) fators out more than once
in a class of 38 students, 16 passed chemistry,
Answer:
what are you asking exaclty ???
Step-by-step explanation:
Marya has $146 in her checking account . She writes a check for $193 . What is the new balance in her checking account ?
Answer:
-$47
Step-by-step explanation:
If she has $146 in he account and we take away $193, we are left with -$47, making her in debt.
Write each sentence as an equation.
1 .Two less than a number n is fifty two.
2. Three less than a number is twelve.
3. The sum of five and a number is ten less than fifty.
4. Three more than a number is sixty.
5. The sum of x and 6 is two less than ten,
6. A number minus 9 is twelve.
7. The sum of a number and five is thirteen.
8. The sum of x and ten is twenty.
9. A number five times is twenty five.
10. Twice a number is two more than five,
Answer:
n - 2 = 52x - 3 = 125 + x = 50 - 103 + x = 60x + 6 = 10 - 2x - 9 = 12x + 5 = 13x + 10 = 205x = 252x = 5 + 2please rate and heart :)
have a great day!!
The answer is given,
1.n - 2 = 52
2.x - 3 = 12
3.5 + x = 50 - 10
4.3 + x = 60
5.x + 6 = 10 - 2
6.x - 9 = 12
7.x + 5 = 13
8.x + 10 = 20
9.5x = 25
10.2x = 5 + 2
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
here, we have,
as the description given,
we get,
1.n - 2 = 52
2.x - 3 = 12
3.5 + x = 50 - 10
4.3 + x = 60
5.x + 6 = 10 - 2
6.x - 9 = 12
7.x + 5 = 13
8.x + 10 = 20
9.5x = 25
10.2x = 5 + 2
To learn more on equation click:
brainly.com/question/24169758
#SPJ2
Enter the value of (0.45) divided by 9/10
What is the resistance of a coil which draws a current of 200na
Answer:
600000Ω
Step-by-step explanation:
1μA = 10⁻⁶ A
200μA = 0.0002 A
Potential difference = V = 120 V
Current = I = 0.0002 A
Resistance = R
R = V / I
= 120 / 0.0002
= 600000Ω
Johnathan wants to paint the bottom of his swimming pool the color blue. the swimming pool has a diameter of 50 feet . How many square feet will Johnathan need to paint ?
TANIA WANTS TO BUY STICKERS OVER THE INTERNET. EACH STICKER COSTS $2 AND SHIPPING THE ENTIRE ORDER COSTS $6. IF SHE CAN SPEND NO MORE THAN $30, HOW MANY STICKERS CAN SHE BUY? WRITE AND SOLVE AN INEQUALITY SHOWING THIS SITUATION. CHECK THE IN THE Soultion in the inequality.
• A rope 75 meters long was cut into pieces that were each 1.5 meters long.
How many pieces resulted?
Help!!
Find the scale factor used to go from the actual picture to the scale drawing!
Answer:
1/3
Step-by-step explanation:
9:6
3:2
9/3 = 3
6/2 = 3
9 x (1/3) = 3
6 x (1/3) = 2
scale factor is 1/3
a sales clerk wants to make at least $519 . If he makes a base salary of $335 and $10.25 per hour at his part time job how many hours will he have to work?
Answer:
18 hours at least to reach the goal
Step-by-step explanation:
Well 519 is the lowest objective so lets aim for that
we can make an equation
since base pay is 335 that doesn’t change
We can make x for hours
335+10.25x ≥ 519
SO it can exactly equal or be greater
You’d get 17.95121... and you can’’t work 17.95121 hours so it has to be 18.
plsss help and please dont be scammer
Answer:
38 students
Step-by-step explanation:
because 19% of 205 is 38.95, but not fully 39 students, so about 38 students
Find Y.
Round to the nearest tenth.
Answer:
Y ≈ 59.0°
Step-by-step explanation:
Using the Cosine rule
cosY = [tex]\frac{x^2+z^2-y^2}{2xz}[/tex]
with x = 22, y = 20, z = 18
cosY = [tex]\frac{22^2+18^2-20^2}{2(22)(18)}[/tex]
= [tex]\frac{484+324-400}{792}[/tex]
= [tex]\frac{408}{792}[/tex] , then
Y = [tex]cos^{-1}[/tex] ( [tex]\frac{408}{792}[/tex] ) ≈ 59.0° ( to the nearest tenth )
I NEED HELP ASAPPPPP
Answer:
y=55 degrees x=125 degrees
Step-by-step explanation:
Please Help!!!
NO xtiny urls
Answer:
Step-by-step explanation:
A share of stock LOSES value in each week of a month. In which quadrant would the data points for this situation be graphed? ( The 2 variables are WEEKS and STOCK PRICE)
Answer:
Quad III
Step-by-step explanation:
III.
Help please!!!! I’ll appreciate it so much!
solve for x in the rectangle below
Answer:
There isnt a rectangle buddy
Step-by-step explanation: