18) Find the opposite of the opposite.

Factorise by grouping: x² - 5x + 2x - 10

Natalka [10]

Answer:

$\boxed {\boxed {\sf (x+2)(x-5)}}$

Step-by-step explanation:

To factor by grouping, first divide the polynomial into 2 groups with parentheses.

$x^2-5x+2x-10$

$(x^2-5x)+ (2x-10)$

Factor the greatest common factor (GCF) out of both binomials.

For the first binomial, the GCF is x.

$x(x-5) +(2x-10)$

For the second binomial, the GCF is 2.

$x(x-5)+2(x-5)$

Factor out the common binomial which is (x-5).

$(x+2)(x-5)$

The factorized form of x²-5x+2x-10 is (x+2)(x-5)

6 0

3 years ago

Consider the set of binary strings (i.e. made of zeros and one's) that do not contain the substring 11 (i.e. 1 is never followed

serg [7]

Answer:

Step-by-step explanation:

6 0

3 years ago

Provide at least five examples. You do not have to

Sav [38]

Answer:

Note: When you add this to your homework, paraphrase.

Graphs are used to plot down information, find differences between numbers, make a visual for numbers, make patterns, and see how many of something there are.

7 0

3 years ago

The scatterplot shows the relationship between the number of slices of pizza eaten by each member of a football team (x) and the

ivolga24 [154]

Answer:

5.31

Step-by-step explanation:

Given the regression line equation, $y = 10 - 0.67x$ , where,

x = number of slices of pizza eaten

y = number of laps run immediately

Number of laps run by a player who ate 7 slices of pizza can be predicted by plugging in x = 7 into the regression line equation to find y:

$y = 10 - 0.67x$

$y = 10 - 0.67(7)$

$y = 10 - 4.69$

$y = 5.31$

5 0

3 years ago

Which angle measure in the triangle shown is the largest? A.) B.) C.) D.) Not Possible

alex41 [277]

You haven't provided neither the diagram nor the options.
Therefore, I cannot provide an exact answer, however, I will try to help you with the concept.

For a triangle, the measure of each angle is proportional to the length of its opposite side.
This means that:
1- The largest angle is the angle opposite to the longest side
2- The smallest angle is the angle opposite to the shortest side

Since you are looking for the largest angle, pick the one facing the longest side

Some tips and tricks:
1- In a right angle triangle, we know that the hypotenuse is the longest side, therefore, the largest angle would be the right angle
2- In an obtuse triangle, the largest angle is simply the obtuse angle itself (the one whose measure is greater than 90)
3- In equilateral triangle, all three angles are equal

Hope this helps :)

8 0

4 years ago