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strojnjashka [21]
3 years ago
5

4. Solve the system by substitution. y=-x2+2x+10 y=x+4

Mathematics
1 answer:
dsp733 years ago
7 0

Answer:

X=6 Y=10

Step-by-step explanation:

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The difference of two numbers is 90 and their quotient is 10
bija089 [108]
To solve this, set up two equations using the information you're given. Let's call our two numbers a and b:
1) D<span>ifference of two numbers is 90
a - b (difference of two numbers) = 90

2) The quotient of these two numbers is 10
a/b (quotient of the two numbers) = 10


Now you can solve for the two numbers.
1) Solve the second equation for one of the variables. Let's solve for a:
a/b = 10
a = 10b

2) Plug a =10b into the first equation and solve for the value of b:
a - b = 90
10b - b = 90
9b = 90
b = 10

3) Using b = 10, plug it back into one of the equations to find the value of a. I'll plug it back into the first equation:
a - b = 90
a - 10 = 90
a = 100

-------

Answer: The numbers are 100 and 10</span>
3 0
4 years ago
Construct a right triangle whose perimeter is equal to 10cm and one acute angle is 60°
jok3333 [9.3K]
How can we help you with this?
5 0
3 years ago
Use the graph to answer the question. On a coordinate plane, a curve starts at (negative 1, negative 1) and curves down through
Softa [21]

Answer:

A, C, and E

Step-by-step explanation:

-2, 0, and 5

5 0
3 years ago
Which expression is equivalent to −10x−10+2x+9?
DENIUS [597]

Answer:

-8x - 1

General Formulas and Concepts:

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

-10x - 10 + 2x + 9

<u>Step 2: Simplify</u>

  1. Combine like terms (x):                                                                                        -8x - 10 + 9
  2. Combine like term:                                                                                              -8x - 1
4 0
3 years ago
Read 2 more answers
Use the shell method to find the volume of the solid generated by revolving the regions bounded by the curves and lines about th
Nezavi [6.7K]

The two curves intersect when

-x^2=6-5x\implies x^2-5x+6=(x-3)(x-2)=0\implies x=2,x=3

The region bounded by x=0 and the two curves "ends" with a vertex where x=2. So over the interval [0, 2], we have 6-5x\ge-x^2, so that the volume is

\displaystyle2\pi\int_0^2x(6-5x+x^2)\,\mathrm dx=\boxed{\frac{16\pi}3}

That is, each cylindrical shell has a radius of x and height (6-5x)-(-x^2)=6-5x+x^2, and their contribution to the total volume is 2\pi times the radius and height.

5 0
3 years ago
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