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3 years ago

X^2-x-20 how do I write that in factored form

Mathematics

2 answers:

Rufina [12.5K]3 years ago

4 0

Answer:

(x+4)(x-5)

Step-by-step explanation:

You need to find two numbers that multiply to be -20 but add up to be -1.

tia_tia [17]3 years ago

4 0

Answer:

( x - 5 ) ( x + 4 )

Step-by-step explanation:

When solving quadratic equations it's important to remember that they have 2 solution. We need to work out the factors, sum and the products to successfully factorise the quadratic and solve it. So,

x² - x - 20 = 0

Sum = -1

Product = -20

So we need two numbers that sum to -1 and multiply together to make -20

Factors = -5 and 4

x² - 5x + 4x - 20

Factor x² - 5x and 4x -20 separately

x² - 5x = x ( x - 5 )

4x - 20 = 4 ( x - 5 ) So

x ( x - 5 ) + 4 ( x - 5 )

We can see a common factor of ( x - 5 ) and the other bracket would be ( x + 4)

( x - 5 ) ( x + 4 )

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Jill is standing at the base of her apartment building. She measures the angle of elevation to the top of a nearby tower to be 4

Helga [31]

Answer:

1) From the measure of 40°, you can write:

tan(40°) = 100/x, where x is the base from the building to the tower

⇒x=100/tan(40°) = 119,18 m

2) From the measure of 30°, you can write

tan(30°) = y / 119,18, where y is the height from the roof of Jill's building to the top of the tower.

Then, y = tan(30°) * 119,18 = 68,81 m

3) The height of Jill's building is 100 - 68,81 = 31,19 m

7 0

4 years ago

2. XYZW is a parallelogram with diagonals XZ and YW that intersect at point A.

sergeinik [125]

Answer:

AW=10

Step-by-step explanation:

In a parallelogram opposite sides are congruent meaning XA and AZ are congruent. YA and AW are congruent. So...

Solving for XA and AZ

XA=AZ

3m=5m-4

-2m=-4

m=2

If YW=10m then 10 x 2 = 20

20 divided by 2 = 10

4 0

3 years ago

May someone please help me on which to graph?

olga_2 [115]

Answer:

Option (4)

Step-by-step explanation:

Proportional relationship means,

y ∝ x

y = kx

$k=\frac{y}{x}$

Here, k = proportionality constant

Therefore, if the graph of a line passes through the origin (0, 0) table will represent the proportional relationship.

From table 1,

For a point (1, 2)

$k=\frac{2}{1}=2$

For another point (3, 2)

$k=\frac{3}{2}=1.5$

In both the cases 'k' is not same of constant.

Therefore, table (1) is not proportional.

For table (2),

Line passes through (2, 0).

That means there is a x-intercept → (2, 0)

Therefore, table doesn't represent a proportional relationship.

For table (3),

Line passes through a point (0, 1)

It means given line has a y-intercept → y = 1

Therefore, table doesn't represent a proportional relationship.

For table (4),

Line of this table passes through two points (1, 3) and (2, 6)

$k=\frac{3}{1}=3$

$k=\frac{6}{2}=3$

Therefore, proportionality constant for the given table is 3.

Now we can graph table (4).

6 0

3 years ago

What is the difference for -22 - (-26)

Alenkasestr [34]

Answer:

Step-by-step explanation:

8 0

3 years ago

Help me please......!!!!

8090 [49]

Answer: B

Step-by-step explanation:

The range of a function is the set of all possible values for the function's dependent variable. In this case, that variable is y, so we can look at the graph to observe what possible y-values fit in the range.

There are no y-values below -1 on the chart, and the function goes upwards to infinity, so the correct answer is B, y is greater than or equal to -1.

5 0

3 years ago