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
romanna [79]
3 years ago
5

What 2 numbers multiplied together equal 35 but when added egual negative 36

Mathematics
1 answer:
DENIUS [597]3 years ago
6 0
\begin{cases} xy=35 \\ x+y=-36 \end{cases}\\\\\begin{cases} xy=35 \\ x =-36-y \end{cases}\\ \\substitution\\\\(-36-y)y=35\\\\ -36y-y^2=35

y^2+36y+35=0\\\\a=1, \ \ b=36, \ \ c=35\\ \\\Delta =b^2-4ac = 36^2 -4\cdot 1\cdot 35 = 1296- 140=1156\\\\y_{1}=\frac{-b -\sqrt{\Delta} }{2a}= \frac{ -36-\sqrt{1156}}{2}=\frac{-36-34}{2}=-\frac{70}{2}=-35\\\\y_{2}=\frac{-b +\sqrt{\Delta} }{2a}= \frac{-36+34}{2}=-\frac{-2}{2}=-1

\begin{cases} y=-35 \\ x =-36- (-35) \end{cases}\ \ \ or \ \ \ \begin{cases} y=-1 \\ x =-36- (-1) \end{cases}\\\\\\\begin{cases} y=-35 \\ x =-36+35 \end{cases}\ \ \ or \ \ \ \begin{cases} y=-1 \\ x =-36+1 \end{cases}\\\\\\\begin{cases} y=-35 \\ x =-1 \end{cases}\ \ \ or \ \ \ \begin{cases} y=-1 \\ x =-35 \end{cases}


You might be interested in
Write the equation of a line in Slope Intercept Form that passes through (−2,3) and has a slope m=4.
Vladimir [108]

The slope is already given in the question so we can find the y-intercept.

Slope-intercept form: y = mx + b

3 = 4(-2) + b

3 = -8 + b

3 + 8 = -8 + b + 8

11 = b

Now, we can write the equation.

y = 4x + 11

Best of Luck!

4 0
3 years ago
Find the square root of 312.5​
jeka94

Answer:

17.67766953

=17.7 (to 3 s.f.)

5 0
3 years ago
The circular opening of a vase has an inside diameter of 13.5 cm.
Sunny_sXe [5.5K]

Answer:

Area = 143cm^2

Step-by-step explanation:

Given

Shape: Opening of a circular vase

Diameter =13.5cm

\pi = 3.14

Required

Determine the area

This opening implies a circle; hence the area will be calculated using area of a circle.

Area = \pi r^2

Solve for radius (r)

r = \frac{d}{2}

r = \frac{13.5\ cm}{2}

r = 6.75\ cm

Substitute 6.75 for r in Area = \pi r^2

Area = 3.14 * 6.75^2

Area = 143.06625

Area = 143cm^2 --- Approximated

4 0
3 years ago
A bottler of drinking water fills plastic bottles with a mean volume of 1,000 milliliters (mL) and standard deviation The fill v
trapecia [35]

Answer:

84.13% of bottles will have volume greater than 994 mL

Step-by-step explanation:

Mean volume = u = 1000

Standard deviation = \sigma = 6

We need to find the proportion of bottles with volume greater than 994. So our test value is 994. i.e.

x = 994

Since the data is normally distributed we will use the concept of z-score to find the required proportion. First we convert 994 to its equivalent z-score, then using the z-table we will find the corresponding value of proportion. The formula to calculate the z score is:

z=\frac{x-u}{\sigma}

Substituting the values, we get:

z=\frac{994-1000}{6}=-1

This means 994 is equivalent to a z score of -1. Now we will find the proportion of z values which are greater than -1 from the z table.

i.e. P(z > -1)

From the z-table this value comes out to be:

P(z >- 1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413

Since, 994 is equivalent to a z score of -1, we can write that proportion of values which will be greater than 994 would be:

P( X > 994 ) = P( z > -1 ) = 0.8413 = 84.13%

4 0
3 years ago
Abeline is creating a box design for a company. The front, back, and sides will be painted, but the top and bottom will not be p
just olya [345]

Answer:

it is the first one

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • performance task applying probability concepts i need the work shown w answers any help is appreciated :)
    11·1 answer
  • Invests 5000 dollars. Pays 5.25% monthly
    9·1 answer
  • Hank brought 2.4 pounds of apples.each pund cost $1.89. How much did hank spend on his apples?
    15·2 answers
  • Bill is a financial manager. He writes the equation A=2500(1.36)t to find out how much it will cost his company for a one-year l
    11·1 answer
  • What is is advantage to using equations
    8·2 answers
  • How do you solve for X
    6·1 answer
  • What is the domain of the given relation (1, 2), (8, 15), (-3, 11),<br> (-15, 85)?
    10·1 answer
  • How much interest would $2,000 earn, with simple interest, in two years at the<br>rate of 4.2%?​
    14·1 answer
  • The amount of money in a saving account after t years is represented by the function f(t)=3600(1.035)^t. What does the value 360
    7·1 answer
  • Can somebody help me with this please
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!