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2 years ago

Factor the following trinomial: x^2-2x-1

Mathematics

1 answer:

Inessa05 [86]2 years ago

3 0

Answer:

You cant

Step-by-step explanation:

You can not factor this

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Determine the measure of each segment then indicate whether the statements are true or false

kupik [55]

Answer:

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)

B(2, 5)

Finding the length of AB using the formula

$d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}$

$=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}$

$=\sqrt{6^2+1}$

$=\sqrt{36+1}$

$=\sqrt{37}$

$d_{AB}\:=\sqrt{37}$

$d_{AB}=6.08$ units

Given the vertices of the segment JK

J(2, 2)

K(7, 2)

From the graph, it is clear that the length of JK = 5 units

$d_{JK}=5$ units

Given the vertices of the segment GH

G(-5, -2)

H(-2, -2)

Finding the length of GH using the formula

$d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}$

$=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}$

$=\sqrt{3^2+0}$

$=\sqrt{3^2}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$d_{GH}\:=\:3$ units

Thus, from the calculations, it is clear that:

$d_{AB}=6.08$

$d_{JK}=5$

$d_{GH}\:=\:3$

Thus,

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

8 0

2 years ago

How many 1/3 liters are in 4 2/3 liters

jonny [76]

Answer:

Step-by-step explanation:

This is a division problem.

We want to find how many 1/3 liters are in 4⅔ liters.

We divide to obtain:

$\frac{4 \frac{2}{3} }{ \frac{1}{3} }$

$4 \frac{2}{3} \div \frac{1}{3}$

Convert to improper fraction.

$\frac{14}{3} \div \frac{1}{3}$

$\frac{14}{3} \times \frac{3}{1}$

This simplifies to

$14$

Therefore there are fourteen ⅓ liters in 4⅔ liters

5 0

3 years ago

The market bought grapes for $0.87 a pound and sold them for $1.09 a pound. What is the percent for increace rounded to the near

Len [333]

So to find percent increase, you want to minus the difference in cost..

1.09- 0.87= .22...

now divide the difference by the original....

.22 ÷ .87 = .25287.....etc

now multiply that by 100...

.25287 × 100 = 25.287

now it says round to the nearest tenth so...

25.29% increase.

5 0

2 years ago

What is GE ? Enter your answer in the box.

Flura [38]

The length of GE is 10 units

Explanation:

Given that the length of XY = 5 units and YZ = 4.6 units

The length of GE:

We need to determine the length of GE

From the figure, we can see that ZY bisects GE and XY bisects EF.

The lines ZY and XY both bisect GF.

The midpoint theorem states that "the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side".

Since, we have,

EX = XF and X is the midpoint of EF

GY = YF and Y is the midpoint of GF

Since, XY is the line segment that connects the midpoints of the two sides of the triangle.

Applying the midpoint theorem, we have,

$GE = 2XY$

$GE = 2(5)=10 \ units$

Thus, the length of GE is 10 units.

6 0

2 years ago

X 8. 13 Solve for enter the number only)

leva [86]

The answer I got was 7

5 0

2 years ago