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kondaur [170]
3 years ago
12

What are the solutions to the system of equations?

Mathematics
1 answer:
Setler79 [48]3 years ago
8 0

Answer:

(3.5, 1.5) and (1, -1).

Step-by-step explanation:

As both expressions in x are equal to y we can write:

2x^2 - 8x + 5 = x - 2

2x^2 - 9x + 7 = 0

(2x - 7)(x - 1) = 0

2x - 7 = 0 or x - 1 = 0

x = 3.5,  1,

When x = 1, y = 1 - 2 = -1.

When x = 3.5, y = 3.5 - 1 = 1.5.

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Using a famous spokesperson to promote a certain product is an example of_
butalik [34]

Answer:

An advertisement.

Step-by-step explanation:

It's called a Celebrity Endorsement but it's a subgroup of an Advert.

6 0
3 years ago
A single number between 0 and 9 occurring either alone or in a larger number is called a what
USPshnik [31]

Answer:

A chronilagical corientation

Step-by-step explanation:

My teacher told me :()()()

6 0
3 years ago
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
algol13
Answers:
x = 24
y = 8√3
Explanation:

1) Since, the given triangle is a right triangle, and you have both an angle and the hypotenuse length, you can use some trigonometric ratios to find the variables.

2) The variables given represent:

x: adjacent-leg to angle 30°
y: opposite length to angle 30°

3) sine ratio:

sin 30° = opposite-leg / hypotenuse = y / (16√3)

⇒ y = 16√3 sin 30° = 16√3 × (1/2) = 8√3

4) cosine ratio

cos 30° = adjacent-leg / hypotenuse = x / (16√3)

⇒ x = 16√3 cos 30° = 16√3 (√3 / 2) = 16 × 3 / 2 = 24

4 0
3 years ago
Proof:
Lapatulllka [165]

Answer:

Option B is correct

\angle 2 = \angle 3

Step-by-step explanation:

Given that:

\angle 1 and \angle 2 are supplementary.

prove that: a || b

It is given that:

\angle 1 and \angle 2 are supplementary.

By definition of supplementary

⇒\angle 1+ \angle 2 =180^{\circ}            .....[1]

From the figure, you can see that:

\angle 1 and \angle 3 are also supplementary.

⇒\angle 1+ \angle 3 =180^{\circ}            .....[2]

By [1] and [2] we have;

⇒\angle 1+ \angle 2=\angle 1+ \angle 3

Simplify:

\angle 2 = \angle 3

Since ∠2 and ∠3 are corresponding angles.

Corresponding angles states when the two lines are parallel, then Corresponding Angles are equal and vice versa.

by definition we have;

a || b                      proved!

7 0
3 years ago
Read 2 more answers
The science teacher has to write report cards for all her students. It takes 1/8 of an hour to complete one report card. How man
Vinvika [58]

Answer:

112

Step-by-step explanation:

If she takes 1/8 of an hour to complete one then she can finish 8 in 1 hour.

8 x 14 = 112

4 0
2 years ago
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