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almond37 [142]
3 years ago
14

The area of the base of a prism is 50mm2. The perimeter of the base is 30mm. The height of the prism is 7mm.

Mathematics
1 answer:
Vadim26 [7]3 years ago
6 0
2*50+30*7=100+210=310mm2

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I really need help with this. Can anyone help me please?
I am Lyosha [343]

Answer:

f(x)=(x-3)(x^2+4x+8)

Step-by-step explanation:

A polynomial function is given by the form:

f(x)=a(x-p)(x-q)...

Where a is the leading coefficient, and <em>p</em> and <em>q</em> are the roots (more can be added if necessary).

Our zeros are 3 and (-2 + 2i).

And our leading coefficient <em>a </em>= 1.

Furthermore, by the Complex Root Theorem, if (-2 + 2i) is a zero, then (-2 - 2i) must also be a zero.

So, by substitution, we acquire:

f(x)=1(x-(3))(x-(-2+2i))(x-(-2-2i))

Simplify:

f(x)=(x-3)(x+2-2i)(x+2+2i)

Expand the second and third factors:

\begin{aligned} &=(x+2-2i)x+(x+2-2i)(2)+(x+2-2i)(2i)\\&= (x^2+2x-2ix)+(2x+4-4i)+(2ix+4i-4i^2)\\&=(x^2)+(2x+2x)+(-2ix+2ix)+(-4i+4i)+(4-4i^2)\\&=x^2+4x+(4+4)\\&=x^2+4x+8    \end{aligned}

Therefore, our polynomial function of least degree and the given zeros will be:

f(x)=(x-3)(x^2+4x+8)

6 0
3 years ago
How can x2 = 2x + 4 be set up as a system of equations? (1 point) a y = x2 − 2x + 4 y = x2 + 2x + 4 b y = x2 y = x2 + 2x + 4 c y
mars1129 [50]

Answer: x=3 and y=4

Step-by-step explanation:

x+y=7;x+2y=11

Step: Solvex+y=7for x:

x+y=7

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute−y+7forxinx+2y=11:

x+2y=11

−y+7+2y=11

y+7=11(Simplify both sides of the equation)

y+7+−7=11+−7(Add -7 to both sides)

y=4

Step: Substitute4foryinx=−y+7:

x=−y+7

x=−4+7

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=4

4 0
3 years ago
Natasha was thinking of a number. Natasha subtracts 9.3 from the number and gets an answer of 86.7. Form an equation with
EleoNora [17]

Answer:

x-9.3 = 86.7

Step-by-step explanation:

5 0
3 years ago
Corresponding angles are
Svetach [21]

Answer:

Angles that are congruent and have the same value

Step-by-step explanation:

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The sale price of ground beef at a local grocery store is $1.49 for the first pound and $1.09 for each additional pound. Which f
cricket20 [7]

Answer:

y=1.09x+0.4

Step-by-step explanation:

Let's assume that the price of beef stays the same for every pound of beef (the first pound is also $1.09)

Then, the equation would be, it y was the cost, and x was pounds:

y=1.09x

But, the price of beef is not the same for the first pound.

The first pound costs an extra 1.49-1.09=0.4 dollars a pound, so we will add that to the equation.

y=1.09x+0.4

6 0
3 years ago
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