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2 years ago

Factor the following quadratic. y=2x^2 - 5x - 3

Mathematics

1 answer:

Reptile [31]2 years ago

3 0

Answer:

(2x + 1)(x - 3)

Step-by-step explanation:

$y = 2 {x}^{2} - 5x - 3$

$2 {x}^{2} - 5x - 3 = 0$

$(2x + 1)(x - 3) = 0$

$x = - \frac{1}{2}$

$x = 3$

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3 years ago

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3 years ago

(x - 1)2 = 4<br> how do i do this

Gnoma [55]

Answer:

x = 3

Step-by-step explanation:

(x - 1)2 = 4

how to get this solved is very simple.

first step to apply is the BODMAS RULE

B..................... bracket

O..................... of

D.....................Division

M.................... multiplication

A..................... addition

S.................... Subtraction

so (x - 1)2 = 4

we have,

2x - 2 = 4 ( by opening the bracket)

collect the like terms

2x = 4+2

divide both sides by 2

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to check if your answer is correct put the value of x = 3 into the question and see if the right hand side will equal to the left handside

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4 years ago

HELPP 35 POINTS!!!!! Point Q is the center of Circle Q in the diagram below. The measure of angle XAY is 72° (m∠XAY = 72°). Sinc

Paladinen [302]

Answer:

Se explanation

Step-by-step explanation:

The diagram shows the circle with center Q. In this circle, angle XAY is inscribed angle subtended on the arc XY. Angle XQY is the central angle subtended on the same arc XY.

The inscribed angle theorem states that an angle inscribed in a circle is half of the central angle that subtends the same arc on the circle. Therefore,

$m\angle XBY=2m\angle XAY=2\cdot 72^{\circ}=144^{\circ}$

The measure of the intercepted arc XY is the measure of the central angle XQY and is equal to 144°.

All angles that have the same endpoints X and Y and vertex lying in the middle of the quadrilateral XAYQ have measures satisfying the condition

$72^{\circ}$

because angle XAY is the smallest possible angle subtended on the arc XY in the circle and angle XQY is the largest possible angle in the circle subtended on the arc XY.

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4 years ago