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dem82 [27]
2 years ago
11

Find the value of 777^2 - 223^2​

Mathematics
1 answer:
Yakvenalex [24]2 years ago
5 0

Answer:

549440

Step-by-step explanation:

777^2 = 603729

223^2 = 54289

603729 - 54289 = 549440

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Lauren coordinates a construction projects for a cement company. A government project requires constructing two rectangular conc
I am Lyosha [343]

Answer:

7

Step-by-step explanation:

Total concrete for slabs

24 * 24 * 1 = 576 ft³

Additional 20 %

By rule of three      

if     576       ⇒    100

        x??      ⇒     20           x = 115,2

And there are 2 slabs, the total volume of concrete is:

Q(t)  = 2* (576 + 115,2 )      Q(t)  =  1382,4 ft³   (1)

If the truck can carry a maximum of 8 yd³, as 1 ft³  = 0,037 yd³

then a truck can carry a maximum of

8/ 0,037   =  216,21 ft³

Now the total quantity is 1382,4

Then  

1382,4/216,21        =  6,39

And as nobody can send a fraction of a truck , the fewest number of truck is 7

5 0
3 years ago
15% of 60 is what percent of 180?
aivan3 [116]
Okay so uh i think it’s this: 15% of 60=0.15* 60=9
9 is what percent of 180 i think..?
9/180=1/20=5/100=5%
7 0
3 years ago
Read 2 more answers
Express each of the following quadratic functions in the form of f(x) = a (x - h)²+ k.Then,state the minimum or maximum value,ax
Ivan

Given:

The function is:

f(x)=-2x^2+7x+4

To find:

Express the quadratic equation in the form of f(x)=a(x-h)^2+k, then state the minimum or maximum value,axis of symmetry and minimum or maximum point.

Solution:

The vertex form of a quadratic function is:

f(x)=a(x-h)^2+k              ...(i)

Where, a is a constant, (h,k) is the vertex and x=h is the axis of symmetry.

We have,

f(x)=-2x^2+7x+4

It can be written as:

f(x)=-2\left(x^2-3.5x\right)+4

Adding and subtracting square of half of coefficient of x inside the parenthesis, we get

f(x)=-2\left(x^2-3.5x+(\dfrac{3.5}{2})^2-(\dfrac{3.5}{2})^2\right)+4

f(x)=-2\left(x^2-3.5x+(1.75)^2\right)-2\left(-(1.75)^2\right)+4

f(x)=-2\left(x-1.75\right)^2+2(3.0625)+4

f(x)=-2\left(x-1.75\right)^2+6.125+4

f(x)=-2\left(x-1.75\right)^2+10.125                ...(ii)

On comparing (i) and (ii), we get

a=-2,h=1.75,k=10.125

Here, a is negative, the given function represents a downward parabola and its vertex is the point of maxima.

Maximum value = 10.125

Axis of symmetry : x=1.75

Maximum point = (1.75,10.125)

Therefore, the vertex form of the given function is f(x)=-2\left(x-1.75\right)^2+10.125, the maximum value is 10.125, the axis of symmetry is x=1.75 and the maximum point is (1.75,10.125).

8 0
3 years ago
A parabola can be drawn given a focus of (6,-1) and a directrix of y = 9. What can be said about the parabola?​
zavuch27 [327]

Answer:

Since the focus is at (-6,-11) and the directrix is at y=9:

 

The vertex is halfway between the focus and the directrix, so the vertex is at (-6,-1).  (Draw this on graph paper if that doesn't make sense.)

 

The general form (conics form) of a parabola:  4p(y-k)=(x-h)^2 (vertex is (h,k) and "p" is the distance between the focus and vertex (or between vertex and directrix)).

 

(h,k) = (-6,-1)

 

p = 10 (distance between focus and vertex), so 4p = 40.

 

Therefore:

 

40(y+1)=(x+6)^2

 

Or if you need to rearrange to "vertex form":  y=(1/40)(x+6)^2 - 1

Step-by-step explanation:

3 0
3 years ago
A triangle has sides with lengths of 4 yards, 6 yards, and 8 yards. Is it a right triangle?
Luda [366]

Answer:

It is not

Step-by-step explanation:

If you pythagores- a^2+b^2=c^2

You will get 4^2+6^2=8^2

16+36=64

52=64

This is not true

7 0
2 years ago
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