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3 years ago

Factor-20x2 + 13x + 21. How do you solve this

Mathematics

1 answer:

zaharov [31]3 years ago

5 0

Answer:

-3(9x-7)

Step-by-step explanation:

first multiply

20x2=40

and now its -40x+13x+21

then add same variables

-40x+13x=-27x

now its -27x+21

then rewrite the equation

3 x 7=21

-3 x 9x = 27x

now its (-3 x 9x) + (3 x 7)

then the multiply thingy and you got the answer

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Simplify 2^4 root 176 + 5^4 root 11

Misha Larkins [42]

Answer:

689 root 11

Step-by-step explanation:

simplify

16x4root11+5^4 root 11

64 root 11 +625 root 11

8 0

3 years ago

If you have 2 grids with 100 squares in each and each grid = 1 whole how do you shade in 1.47

denis23 [38]

One grid will be completely shaded, to represent the 1 .

The other grid will have exactly 47 of the 100 little squares shaded. That's exactly .47 of the whole grid.

8 0

3 years ago

Point p(a,b) is in the first quadrant on the graph of the line x+y=4. A triangular region is shown on the diagram. What is the m

Gala2k [10]

Answer:

The maximum area of the triangular region is 2 square units

Step-by-step explanation:

we know that

The area of the triangular region is equal to

$A=\frac{1}{2}(x)(y)$ -----> equation A

where

x is the x-coordinate of point P

y is the y-coordinate of point P

we have

The equation of the graph of the line is

$x+y=4$

$y=-x+4$ -----> equation B

substitute equation B in equation A

$A=\frac{1}{2}(x)(-x+4)$

$A=-\frac{1}{2}x^2+2x$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The y-coordinate of the vertex represent the maximum area of the triangular region

Find the vertex

Convert the quadratic equation in vertex form

Factor -1/2

$A=-\frac{1}{2}(x^2-4x)$

Complete the square

$A=-\frac{1}{2}(x^2-4x+4)+2$

Rewrite as perfect squares

$A=-\frac{1}{2}(x-2)^2+2$

The vertex is the point (2,2)

The maximum area is the y-coordinate of the vertex

The maximum area of the triangular region is 2 square units

Find the coordinates of point P for the maximum area

x=2 (x-coordinate of the vertex)

Find the y-coordinate of point P

substitute in equation B

y=-2+4=2

The coordinates of point P for the maximum area is P(2,2)

3 0

4 years ago

What is the image of (x, y) after a translation of 3 units right and 7 units down?

fenix001 [56]

Translation involves changing the position of a shape.

The image of point (x,y) after a translation of 3 units right and 7 units down is: $\mathbf{(x - 3,y - 7)}$

The point is given as: (x,y)

The rule of translation 3 units right is:

$\mathbf{(x,y) \to (x-3,y)}$

The rule of translating 7 units down is:

$\mathbf{(x,y) \to (x,y - 7)}$

So, we have:

$\mathbf{(x - 3,y) \to (x - 3,y - 7)}$

Hence, the image of point (x,y) after a translation of 3 units right and 7 units down is: $\mathbf{(x - 3,y - 7)}$