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3 years ago

Using (x + a) (x + b) = x² + (a + b) x + ab, evaluate 75 x 77

Mathematics

1 answer:

Gre4nikov [31]3 years ago

4 0

(x + a) (x + b) = x² + (a + b) x + ab

75 * 77=

=(70+5)(70+7)

=70²+(5+7)*70+5*7

=4900+12*70+35

=4900+840+35

=5775

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A) x = -2<br> B) y =2<br> C) y= -2

LenKa [72]

Answer:

Step-by-step explanation:

This is a positive parabola so it opens upwards. The equation for the directrix of this parabola is y = k - p. k is the second number in the vertex of the parabola which is (0, 0), but we need to solve for p.

The form that the parabola is currently in is

$y=a(x-h)^2+k$ so that means that $a=\frac{1}{8}$ . We can use that to solve for p in the formula

$p=\frac{1}{4a}$ so

$p=\frac{1}{4(\frac{1}{8}) }$ which simplifies to

$p=\frac{1}{\frac{1}{2} }$ which gives us that

p = 2. Now to find the directrix:

y = k - p becomes

y = 0 - 2 so

y = -2, choice A.

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3 years ago

What is the slope of a line perpendicular to the line y=2x+5 ?

blsea [12.9K]

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2 years ago

your ultra-modern store is one-story round. your square footage is 31,416. What is the diameter of you store ? Area of a circle

zaharov [31]

Answer:

199.96 feet

Step-by-step explanation:

The base of the ultra-modern store is of a round shape.

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We have to find the diameter of the base.

Now, the area of a circle is given by $A = \pi r^{2}$

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3 years ago