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2 years ago

How many terms are in the algebraic expression Negative 7 + 12 x 4 minus 5 y 8 + x?

Mathematics

2 answers:

BARSIC [14]2 years ago

5 0

Answer:

Therefore,

There are Four i.e 4 terms in the expression,

$-7+12x^{4}-5y^{8}+x$

Step-by-step explanation:

Algebraic Expression:

An algebraic expression is a mathematical expression that consists of variables, numbers and operations.

Variables with the coefficient is called as Term.
Number is also a term.

Here the Expression is

$-7+12x^{4}-5y^{8}+x$

So,

$-7 = One\ Term\\12x^{4}=Second\ Term\\-5y^{8}=Third\ Term\\x=Fourth\ Term$

In all there are Four i.e 4 terms in the given expressions.

Therefore,

There are Four i.e 4 terms in the expression,

$-7+12x^{4}-5y^{8}+x$

aleksandr82 [10.1K]2 years ago

4 0

4 is the answer and no explanation

hope this helps and on edgenuity it is D

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One end of a ladder 32 feet long is placed 10 feet from the outer wall of a building that stands on the ground level. How far up

ladessa [460]

Answer:

30 ft

Step-by-step explanation:

This is a classic right triangle problem, where the length of the ladder represents the hypotenuse, where the ladder is lengthwise from the building is the base of the triangle, and what we are looking for is the height of the triangle. Pythagorean's Theorem will help us find this length.

$32^2-10^2=y^2$ so

1024 - 100 = y^2 and

y = 30.4 so 30 feet

4 0

1 year ago

Two parabolas have the same focus, namely the point $(3,-28).$ Their directrices are the $x$-axis and the $y$-axis, respectively

jeyben [28]

Answer:

the slope of the common cord is: $-1$

Step-by-step explanation:

Given the focus (a,b) = (3,-28)

for a parabola with directrix at x-axis the equation will be

$\left(x-a\right)^{2}+\left(y-b\right)^{2}=y^{2}$

$\left(x-a\right)^{2}+\left(y-b\right)^{2}-y^{2}=0$

for a parabola with directrix at y-axis the equation will be

$\left(x-a\right)^{2}+\left(y-b\right)^{2}=x^{2}$

$\left(x-a\right)^{2}+\left(y-b\right)^{2}-x^{2}=0$

The common chord is the line between two points where the two parabolas intersect. For intersection, we can equate the two parabolas!

In other words, at the point of intersection of these two parabolas the values of the two parabolas will be the same.

$\left(x-a\right)^{2}+\left(y-b\right)^{2}-y^{2}=\left(x-a\right)^{2}+\left(y-b\right)^{2}-x^{2}$

$\left(x-3\right)^{2}+\left(y+28\right)^{2}-y^{2}=\left(x-3\right)^{2}+\left(y+28\right)^{2}-x^{2}$

we can now simplify the equation. (we can see that (x-3) and (y+28) both cancel out by -(x-3) and -(y+28))

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

$y=\sqrt{x^{2}}$

$y=\pm x$

this the equation of the common cord. but we need to select whether its

$y=+ x$ or $y=-x$ .

This can be found by realizing that the focus lies on the 4th quadrant of the xy-plane! And the equation $y=-x$ also generates a line that exists in the 2nd and 4th quadrant.

Hence the slope of the common cord is the slope of the line $y=-x$

that is : $-1$

3 0

1 year ago

The functions f(x) and g(x) are described using the following equation and table: f(x) = −2(1.07)x x g(x) −4 −10 −2 −7 0 −4 2 1

Natali [406]

Answer:

The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

I) Solve the equation sin2x + 3cos2x = 0 (for 0 till 360°)

galina1969 [7]

Get rid of cos2x by dividing both the values. So Sin2x/cos2x +3cos2x/cos2x.
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2 years ago

Fermium-253 has a half life of three days. A sample contains 400 g. How long will it take for the sample to decay to 100 g?

NemiM [27]

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1 year ago