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Korvikt [17]
3 years ago
11

I need help please???):

Mathematics
1 answer:
Ket [755]3 years ago
5 0

Answer:

The first option is correct.

Step-by-step explanation:

how do we multiply x - 9 by something? we put it in brackets

(x - 9) × (-3) = 51

that can be written like this

(x - 9)(-3) - 51

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Write 1270 in expanded form using exponents
erastova [34]

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Is x+y+1=0 a tangent of both y^2=4x and x^2=4y parabolas?
Lubov Fominskaja [6]

Answer:

  yes

Step-by-step explanation:

The line intersects each parabola in one point, so is tangent to both.

__

For the first parabola, the point of intersection is ...

  y^2 = 4(-y-1)

  y^2 +4y +4 = 0

  (y+2)^2 = 0

  y = -2 . . . . . . . . one solution only

  x = -(-2)-1 = 1

The point of intersection is (1, -2).

__

For the second parabola, the equation is the same, but with x and y interchanged:

  x^2 = 4(-x-1)

  (x +2)^2 = 0

  x = -2, y = 1 . . . . . one point of intersection only

___

If the line is not parallel to the axis of symmetry, it is tangent if there is only one point of intersection. Here the line x+y+1=0 is tangent to both y^2=4x and x^2=4y.

_____

Another way to consider this is to look at the two parabolas as mirror images of each other across the line y=x. The given line is perpendicular to that line of reflection, so if it is tangent to one parabola, it is tangent to both.

7 0
3 years ago
What is the exact value of cos 45° ?
Georgia [21]
Let the two sides of a right triangle be equal to one, which means that the hypotenuse is √2

Since cosa=adjacent side / hypotenuse

cos45=1/√2

We can rationalize the denominator by multiplying numerator and denominator by √2

√(2)/2

or if you prefer:  √(1/2)
3 0
3 years ago
Read 2 more answers
Multiply and Simplify<br> (x-4)(x^2 - 5x - 6)
kirill [66]

Answer:

x^3 -9x^2 +14x +24

Step-by-step explanation:

(x-4)(x^2 - 5x - 6)

Multiply the x by everything in the second term

x * (x^2 - 5x - 6)

x^3 -5x^2 -6x

Multiply the -4 by everything in the second term

-4 * (x^2 - 5x - 6)

-4x^2 +20x +24

Add everything together

I like to line them up vertically

x^3 -5x^2 -6x

      -4x^2 +20x +24

-------------------------------

x^3 -9x^2 +14x +24


4 0
3 years ago
Read 2 more answers
What does the line y=-2x+5 look like?
Usimov [2.4K]

\huge{\boxed{\text{D}}}

This line is in the format y=mx+b, where m is the slope.

A horizontal line has a slope of 0.

A vertical line has an undefined slope.

A positive slope makes the line go upwards and to the right.

<em>A negative slope makes the line go downwards and to the right.</em>

5 0
3 years ago
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