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Gala2k [10]
3 years ago
13

Here is a net made of right triangles and rectangles ​

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
3 0

not sure your question?

comment then i can edit my answer XD

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The probability that Terry buys a sandwich is 0.4.
lara31 [8.8K]

0.4 * 0.6 this gives

0.24

5 0
3 years ago
How many times does the graph of 4x = 32 - x2 cross the x-axis?
garik1379 [7]

Answer:

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

Step-by-step explanation:

Qaudratics are in the form ax^2 + bx+ c

Where a, b, c are constants

Now, let's arrange this equation in this form:

4x=32-x^2\\x^2+4x-32=0

Where

a = 1

b = 4

c = -32

We need to know the discriminant to know nature of roots. The discriminant is:

D=b^2-4ac

If

  • D = 0 , we have 2 similar root and there is 2 solutions and that touches the x-axis
  • D > 0,  we have 2 distinct roots/solutions and both cut the x-axis
  • D < 0,  we have imaginary roots and it never cuts the x-axis

Let's find value of Discriminant:

D=b^2-4ac\\D=(4)^2 -4(1)(-32)\\D=144

Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.

We get the roots/solutions by factoring:

x^2+4x-32=0\\(x+8)(x-4)=0\\x=4,-8

Thus,

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

6 0
3 years ago
Read 2 more answers
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antid
Kisachek [45]

Answer:

35x - \frac{9x^2}{2} + C

Step-by-step explanation:

The antiderivative of the function is the same as the integral. To find the integral or antiderivative, reverse the process of differentiation method. Currently the function has degree 1. Through integration we increase the degree of each term by 1 and divide by the degree.

Thus 35 - 9x becomes 35x - \frac{9x^2}{2} + C. We add a constant C for any possible constant that was eliminated during differentiation.

4 0
3 years ago
Solve the following system of equations using substitution.<br><br> 4x + 2y = 12<br> x = y + 3
BigorU [14]

Answer:

x = 3

y = 0

Step-by-step explanation:

The method of substitution is when one solves an equation for one of the variables, and then substitutes the expression into the other equation. After doing so, one will solve the other equation for the remaining variable and then backsolve for the first variable.

4x + 2y = 12

x = y + 3

The second equation is already sovled for parameter (x), subttiute this into the other equation,

4(y + 3) + 2y = 12

Distribute,

4y + 12 + 2y = 12

Simplify,

6y + 12 = 12

Inverse operations,

6y + 12 = 12

-12

6y = 0

/6

y = 0

Backsolve for (x), substitute the value of (y) into the equation for (x) and solve,

x = y + 3

x = 0 + 3

x = 3

4 0
3 years ago
Read 2 more answers
What is the length of the missing leg <br> 15 and 9 meters
Brilliant_brown [7]

Answer: 12

Step-by-step explanation: I assume you are talking about a triangle in which the Hypotenuse is 15 and leg A is 9

in this case we have to use a reverse pythagorean theorem

the original one is a^ + b^ = c^ then reverse it to get c^ - a ^ = b^

we know that C is 15 and A is 9 so substitute

15^ - 9^ = b^

15 ^ = 225 and 9^ = 81 so substitute again

225 - 81 = b^ then subtract

144 = b^  you know that the square root of 144 is 12 because 12 x 12 = 144

so 12 is the last side

hope this helps mark me brainliest if it did

4 0
3 years ago
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