1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tiny-mole [99]
3 years ago
8

The numbers x and y have a sum of 1 and a difference of 11.

Mathematics
1 answer:
spin [16.1K]3 years ago
7 0
Sum means add
difference means subttract

x+y=1
x-y=11
add the 2 equations together
2x+0y=12
divide 2
x=6
subitute
6+y=1
subtract 6
y=-5

x=6
y=-5
You might be interested in
I would really appreciate help with the following, along with work shown so I can understand how these were solved.
Alja [10]

First, you have to know the double angle formula:

sin 2A  =  2 sin A cos A

cos 2A  =  cos² A − sin² A  =  2 cos² A − 1  =  1 − 2 sin² A

tan 2A<span> = 2 tan </span>A<span> / (1 − tan² </span>A)


Next, find the other leg: 17^2-15^=64, √64 is 8, so the unknown leg length is 8.

sinα=15/17, cosα=8/17, tanα=15/8

sinβ=8/17, cosβ15/17, tanβ=8/15

Plug these values in the above formula, you'll have your answers.


For the half angles, know the half-angle formula:

sin(B/2) = ± √<span>(1 − cos B)/2</span>

cos(B/2) = ± √<span>(1 + cos B)/2</span>

tan(B/2)  =  (1 − cos B) / sin B<span>  =  sin </span>B<span> / (1 + cos </span>B)

refer to this website for details:

<span>https://brownmath.com/twt/double.htm
</span>


For the power reduction formula, please search for it. I tried to copy and paste here, but it wouldn't paste. 

for number 4, factor the quadratic equation into (cscx-8)(cscx+1)=0

cscx=8 or cscx=-1

You may not have the csc button on your calculator. Recall that csc is 1/sin, so sinx=1/8 or sinx=-1, so x is either 7.18 or 270 degrees



6 0
3 years ago
A management company opens a large apartment complex in anticipation of growth in the community. The company compiles statistics
bezimeni [28]
The equation is given to us in slope intercept form. -34.85 is the slope and the y-intercept is 938.

Therefore, we can say:
The rate of change for the line of best fit is -34.85 which represents the decrease in number of available apartments per week since the complex opened.
The y-intercept is 938 which represents the number of apartments when it first opened.
7 0
3 years ago
What is 15% of 135, show your work
SIZIF [17.4K]

Answer:

20.25

Step-by-step explanation:

Percentage solution with steps:

Step 1: Our output value is 135.

Step 2: We represent the unknown value with $x$

.

Step 3: From step 1 above,$135=100\%$

.

Step 4: Similarly, $x=15.\%$

.

Step 5: This results in a pair of simple equations:

$135=100\%(1)$.

$x=15.\%(2)$

.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{135}{x}=\frac{100\%}{15.\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{135}=\frac{15.}{100}$

$\Rightarrow x=20.25$Therefore, $15.\%$ of $135$ is

sorry if it took to long have a great day and brainliest is appreciated!!!!!

5 0
3 years ago
The population of two different villages is modeled by the equations shown
vlada-n [284]

Answer:

Year = 1995 and population = 315

Year = 2015 and population = 715

Step-by-step explanation:

It is given that the population of two different villages is modeled by the given equations:

y=x^2-30x+540

y=20x+15

The population of both villages are same after x years after 1980 if

x^2-30x+540=20x+15

x^2-30x+540-20x-15=0

x^2-50x+525=0

Splitting the middle term, we get

x^2-15x-35x+525=0

x(x-15)-35(x-15)=0

(x-15)(x-35)=0

x=15,35

It means, after 15 or 35 years, the population will same.

For x=15, years is 1980+15=1995 and population is  

y=20(15)+15=315

For x=35, years is 1980+35=2015 and population is  

y=20(35)+15=715.

Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.

7 0
3 years ago
mrs wong manages a restaurant which is currently hiring. if today she interviewed 4 waiters and 2 chefs, how like the first appl
Yanka [14]
4/6 chance or 2/3 chance. i’m not sure if this is like probability i’m at a middle school level
5 0
3 years ago
Other questions:
  • The pumpkin patch is open day.if it sells 2,750 pounds of pumpkin each day, about how many pounds does it sell in 7 days?
    10·1 answer
  • Determine the distance between the following two points.
    14·1 answer
  • Help me if you’re a real one!
    7·1 answer
  • Hoose the correct answer.<br> What is 0.000058 written in<br> scientific notation?
    15·1 answer
  • What is the equation for the graph below?
    7·1 answer
  • S x + y = 10<br> x = 2y + 1
    11·1 answer
  • -7+1/3n-4/3+2n simplify​
    7·1 answer
  • Which equation represents the situation? A university charges a $100 application fee and $720 per month tuition
    9·1 answer
  • Find an equation for the line that passes through the points (-6, 3) and (6, -6).
    12·2 answers
  • Select the correct answer.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!