Factorise: a squared -9a + 20? What are all the steps?

Answers

Answer 1

Answer: First, factorise the quadratic equation a^2 - 9a+ 20Find two numbers which add up to 9 and multiply to give 20. These numbers are 4 and 5.(a - 4) (a - 5)
Does that make sense?

Answer 2

Answer: a² - 9a + 20

Factorization!

The sum is: -9
and the product is: 20

Since the sum is negative, the numbers that gave the outcome will be negative because the product is positive as well.

What and what adds to gives us -9?
What and what multiplies to give us 20?
-10 + 1 gives us -9
But the product will be -10 × 1 = -10 (its incorrect)

-4 - 5 = -9
(-4) × (-5) = 20

These satisfy both the sum and the product.

The expression will be:
(a - 4)(a - 5)

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What number does y stand for in this equation?
2y - 7 = 35

Answers

Answer:

y stands for 21 in this equation.

Step-by-step explanation:

2y - 7 = 35

2y = 42

y = 21

Answer:

Y = 21

Step-by-step explanation:

2y -7 = 35

+7 +7

2y=42

/2 /2

Y = 21

Which list contains only rational numbers?

Answers

I’m thinking the Answer is A

A school photography company allows parents to purchase fractions of portrait packages. Parents can select only the pictures they want, and return a fraction of package. The company tracks the fraction of each returned package. The company loses money on any package returned with more than of the pictures. On what fraction of the packages did the company lose money?

Answers

just multiply all u can so u gat the anser right

Answer:

1/10

Step-by-step explanation:

Count the dots greater than, but not including,3/4 .

Of the packages returned, 2 packages are returned with more than of the pictures. Express the returned packages as a fraction of the total packages.

2/10 = 1/10

The company lost money on 1/10 of the returned packages.

If the area A of a triangle is 45 m2 (square meters) and the altitude h is 15 m, what's the base b?

Answers

Answer:

The base b is 6m

Step-by-step explanation:

The area A of a triangle with base b and height h is given by the formula;

$A=(1)/(2)*b*h$

The area of the triangle is given as 45 while the height h is 15. We substitute these known values into the formula above and solve for the unknown base;

$45=(1)/(2)*b*15\n\n90=15*b$

We finally divide both sides by 15 to solve for b;

b = 90/15 = 6

Therefore, the base of the triangle is 6 m

Answer:

$b = 6\ m$

Step-by-step explanation:

The area of a triangle is

$A = 0.5b * h$

Where b is the base of the triangle and ha is the height.

In this case we have a triangle with area

$A = 45\ m ^ 2$

and with height:

$h = 15\ m$

So the base of the triangle is:

$45 = 0.5b (15)\n\nb=(45)/(15*0.5)\n\nb=6\ m$

Finally the base of the triangle is b = 6 meters

Complete each statement from the information given and state the reasons and the triangle criterion you used.

Answers

Answer:

Triangle GAS = Triangle IOL by rule AAS

Step-by-step explanation:

The points must be ordered correctly so they correspond within the triangles. Point G = Point I, Point A = Point O, Point S = Point L.

A rule for determining Triangle Congruency is AAS. If two angles and a side of a triangle are equal to one of another triangle, the triangles are congruent.

27x^3+9x^2-3x-2 /3x-2

Answers

Answer:

(27x3+9x2-3x-10)/(3x-2)

Final result :

9x2 + 9x + 5

Step by step solution :

Step 1 :

Equation at the end of step 1 :

Step 2 :

Equation at the end of step 2 :

Step 3 :

27x3 + 9x2 - 3x - 10

Simplify ————————————————————

3x - 2

Checking for a perfect cube :

3.1 27x3 + 9x2 - 3x - 10 is not a perfect cube

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