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3 years ago

Find the area of the red triangle.

Mathematics

1 answer:

JulsSmile [24]3 years ago

5 0

Answer:

it is 9

Step-by-step explanation:

adding 79 and 10 and subsequently subtracting 72 and 8 to get 9

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The graphs of two rational functions of f and g are shown. One of them is given by the expression 2-3x/x. Which graph is it? Tha

Nesterboy [21]

Answer:

It's the left graph, y = f(x)

Step-by-step explanation:

If you find the x-intercepts, you'd solve (2-3x)/x = 0. This means you'd really solve 2-3x=0, which gives you x=3/2.

So the graph must have an x-intercept at (1.5, 0). Only f(x) has that.

8 0

2 years ago

In which quadrant is the number –14 – 5i located on the complex plane?

AlekseyPX

On the complex plane, the real component of a complex number is graphed along the horizontal axis while the imaginary component is graphed along the vertical axis.

Positive numbers go to the right on the real axis and up on the imaginary axis, and vice versa for negative numbers.

Therefore, the number -14-5i is in the 3rd quadrant because it graphed to the left of the origin and down.

4 0

2 years ago

Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

7 0

3 years ago

What is the error in -1.75+-1+4.25+3.75+1+ -4.75+2=18.5

allochka39001 [22]

Answer:

they don't respect the signs

Step-by-step explanation:

when you have a problem like the one above you have to put parentheses to the negative numbers either to add or subtract them, there is where the sign rule comes in

6 0

3 years ago

Read 2 more answers

Please I need help, I've been stuck in this for about 30 minutes now

Anna35 [415]

Answer:

look where infinity you have to write 5

Step-by-step explanation:

1, line of infinity 5

2. 7 8

3. 6 2

4. 0 1

7.7 8, 2 5, 6 3

4 0

2 years ago