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3 years ago

Determine whether each pair of equations has no solutions, one solution, or

Mathematics

1 answer:

TEA [102]3 years ago

8 0

Answer:

y=2 x and y=-2x ONE

y=-x - 2 and y = -x - 6 NONE

y = 9x - 1 and y = x + 9 ONE

y = 3x + 4 and 2y = 6x + 8 INFINITE

y=-3 and x = -6 ONE

Explanation:

Any two equations (with y value isolated, meaning y has no coefficient) that have the same slope will have no solutions because they are parallel. Parallel lines never meet. For example:

y=-x - 2 and y = -x - 6

They both have a slope of -1. The slope is the number attached to the "x".

If two equations are equivalent, they will have infinite solutions. Equivalent equations can be found when a whole equation is multiplied or divided by a number. For example:

y = 3x + 4 and 2y = 6x + 8

When you double every term in the first equation, it becomes:

2y = (2)3x + (2)4

It's the same as 2y = 6x + 8 .

Any other case will have one solution.

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Easy question easy points

Deffense [45]

Answer:

y = - 4x - 8

Step-by-step explanation:

From the graph we get :

slope = (-8)/2 = -4

y-intercept = -8

8 0

4 years ago

Read 2 more answers

Robert is lying on the ground, looking at the top of a flagpole. The angle of elevation to the top of the flagpole is

NeTakaya

Answer:

Height of flagpole = 571 ft

Step-by-step explanation:

Given:

Angle of elevation to the top of the flagpole is 55° .

Distance from the eyes to the base of flagpole = 400 ft.

To find the height of the flagpole.

Solution:

We can draw the situation as a right triangle as shown below.

In triangle ABC.

$BC=400\ ft$

∠C= 55°

To find the length AB (height of the flagpole).

Applying trigonometric ratio :

$\tan\theta=\frac{Opposite\ side}{Adjacent\ side}$

$\tan C=\frac{AB}{BC}$

Plugging in values.

$\tan 55\°=\frac{AB}{400}$

Multiplying both sides by 400.

$400\tan 55\°=\frac{AB}{400}\times 400$

$571.26=AB$

∴ $AB\approx 571\ ft$

Height of flagpole = 571 ft

6 0

4 years ago

Simplify. Assume that no denominator is equal to zero.

aivan3 [116]

Answer: FIRST OPTION.

Step-by-step explanation:

For this exercise it is important to remember a property called "Quotient of Powers property".

By definition the Quotient of Powers property states the following:

$\frac{a^m}{a^n}=a^{(m-n)}$

You can observe the division of $a^m$ and $a^n$ . Since both have the same base "a" , you must rewrite the base and subtract the exponents "m" and "n".

In this case, you have the following expression given in the exercise:

$\frac{4^{12}}{4^{5}}$

Then, you need to apply the Quotient of Powers property rewriting the base 4 and subtracting the exponents 12 and 5.

Therefore, you get the following result:

$=4^{(12-5)}=4^7$

You can notice that it matches with the first option.

6 0

3 years ago

What’s the equation of a trapezoid

saul85 [17]

A trapezoid is a quadrilateral with one pair of parallel sides, and the formula for the area of a trapezoid is 1/2 times (base 1 + base 2) times height

4 0

3 years ago

What percent of 9.2 m is 2.5m?

Valentin [98]

27.1739% percent. to find that, all you have to do is multiply 2.5x100. that equals 250. divide this by 9.2, and that is your answer

7 0

4 years ago

Read 2 more answers