m^ 2 + m − 90 factorize

Answers

Answer 1

Answer:

(m+10)(m-9)

Step-by-step explanation:

To factor this equation we want to find two numbers that multiply to -90 but also add/subtract to 1.

Those two numbers are 10 and -9 (10×-9=-90, 10-9=1)

Answer 2

Answer:

[tex](m-9)(m+10)[/tex]

Step-by-step explanation:

When you are given an expression in this format

[tex]ax^2+bx+c[/tex]

You must find two numbers that add up to b while the product is c.

You do trial and error to figure it out for your equation.

[tex]m^2+m-90[/tex]

Hmm... what two numbers add up to 1 and multiplied together equal -90.

Start off with pairs that can equal 90.

45 2

18 5

9 10

Ok, well 45 * 2 does equal 90 but 45 + 2 = 47and 45 + -2 = 43 but there's no way I can make it equal to 1. Next!

18 * 5 equals 90 but 18 + -5 = 13 and 18 + 5 = 23, I can just tell that there's no way I can make this equal to 1.

9 * 10 equals 90, 9 + 10 = 19 but 9 + -10 = -1. Now, that's interesting, We have -1 but we need 1. All we have to do is flip the order. 10 + -9 = 1. And -9 * 10 = -90, PERFECT!

Now use the two numbers and put it in factored form.

[tex](m-9)(m+10)[/tex]


Related Questions

Which of the following makes sense as an answer to 8.9 *7.15

Answers

Answer:

so whats the answer

Step-by-step explanation:

The line y=−0.5x+b passes through the points​ (1,5.5), (3,p),​ (4,4), and​ (7,n). Find​ b, n, and p.

Answers

Answer:   b = 6; n = 2.5; p = 4.5

Step-by-step explanation:

Finding b

If we use the given slope and use one of the points to write the equation in point-slope form (y - y₁) = m(x - x₁)), we can rearrange it to find the y-intercept:

Using (4,4)  

                                ⇒  y - 4 =  - 0.5 (x - 4)

                                     y - 4 = - 0.5 x + 2

                                          y = -0.5 x + 6

        ∴ b = 6

Calculating 'n' and 'p'

We can find n and p by plugging the points into the newly found equation   y = -0.5 x + 6.

For n using (7, n)

             since  y = -0.5 x + 6

                        n = -0.5 (7) + 6

                ∴        n = 2.5

For p using (3,p)

               since y = -0.5 x + 6

                         p = - 0.5 (3) + 6

                         p = - 1.5 + 6

                     p = 4.5

Checking the answer

We can check the answer we got in two ways:

We could also have found n a different way:

         Using the points (4, 4) and (7, n) as (x₁, y₁) & (x₂, y₂)   respectively

         The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)  

                               - 0.5  =  (n - 4) ÷ (7 - 4)

                               - 0.5 =  ⁿ⁻⁴/₃          [multiply both sides by 3]

                                - 1.5 = n - 4           [add four to both sides]

                                    n = 2.5     [this matches the value of n we found]

We can plot the line and see if it goes through the points we found. As seen in the graph below, the line passes through all the points.

If a car top speed is 180km/h how far will it go in 3 hours

Answers

It will go 60km/h !!!!:)

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

x= 104

Step-by-step explanation:

Angle in a triangle is 180

35+41+x=180

76+x=180

x=180-76

x=104

Please help! I’ll give brianliest to the correct answer!

Answers

Answer:

y = 1.5x + 9  

(y = height; x = number of cups)

Step-by-step explanation:

let x = number of cups

let y = height of the stack

the first cup will add 9 to the height (7.5 + 1.5)

so 9 is the y-intercept

for each additional cup, 1.5 will be added

so y = 1.5x + 9

guy pls help me!!!!!

Answers

The value of B is 4

STEP BY STEP EXPLANATION:

90-46=44
44-8=36
36/9= 4

solve this equation x/8+4=12

Answers

Answer:

x=64

Step-by-step explanation:

x/8+4=12

x/8=12-4

=8

x=8×8

=64

7.) A bank records deposits as positive numbers
and withdrawals as negative numbers.
Michael withdrew $150 from his bank account 3
times. What is his balance after the 3 withdrawals?

Answers

Depending on what his account balance was before the withdrawals the answer may vary.

The answer would be -450 though
The answer would be -450. This is the answer because 150x3=450
Sonce we are withdrawing it would be -150x3=-450

MARKING BRAINIEST Can you help me with this math problem please ?

Answers

Answer:

You answer can be written for Solving X two different ways

The inquitly form is

x[tex]\geq[/tex]-6

Interval Notation is

{-6,∞)

Step-by-step explanation:

In order to graph put a close dot on the number -6 and then color your line to the right of the number line.  Because the infinity sign is positive so all the number after the -6 is positive. So a close dot on the number -6 and then draw a line or color a line to the right of the number line

7.Austin has no money so he borrowed $28 over eight days from Kayla. How much did Austin borrow from Kayla each day? Show your work

8.The temperature dropped 6 degrees for 9 hours. What was the total change in temperature.

14.The product of two integers is -24 and the sum of the two integers is -5. What are the two integers?

Answers

#7. let x = the amount of money he borrows each day. so, the equation would be 8x (because it’s over 8 days, so 8 times x) = 28

so equation: 8x=28
then solve for x, which is 3.5 so $3.50

You ask your best friend to lend you $300 to buy your favourite toy. She says she can lend you the money only if you give her an extra $3 for every three months that pass before you return it. What is the total amount you must pay her if you return it after nine months?

Answers

The answer is $309

Since its $3 extra per 3 months and 9 months pass it has to be an extra $9 for the $9 months.You already had to pay back the 300 so the equation would be (300+9=309)

Graph ​y=−47x+1​. Use the line tool and select two points on the line.

Answers

Answer:

Ok so I don't have a graphing thing on my computer but on the y axis you are going to put a dot on the one then go up 47 and to the right 1 and put a dot sorry that is as much as i can help you

Finding the nth term, please help.

Answers

Answer:70

Step-by-step explanation: notice the pattern is adding by 8 after the first term

Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31) .


Enter your answer in the box, without spaces.

Answers

Answer:

[tex]\sf y=9x-5[/tex]

Step-by-step explanation:

[tex]\begin{aligned}&\sf y-y_1=m(x-x_1) \\&\sf y-31=9(x-4) \\&\sf y-31=9x-36 \\&\sf y=9x-36+31 \\&\boxed{\sf y=9x-5} \end{aligned} [/tex]

the answer above is correct

For brainily please help :/

Answers

Answer:

AB

Step-by-step explanation:

They are the shortest combined side

help please !!:))))))​

Answers

Point A = (-1,-1) point B= (2,-1)

Someone pls help me I will make you brain

Answers

Answer: Cant see or read

Step-by-step explanation:

If a rhombus is inside a regular hexagon, what is the size of x

Answers

Answer: x = 60°

Step-by-step explanation:

The rest of the question is the attached figure.

Given: A rhombus inside a regular hexagon, work out the angle x.

As shown

ABCDEF is a regular hexagon.

The regular hexagon have 6 congruent angles, and the sum of the interior angles is 720°

So, the measure of one angle of the regular hexagon = 720/6 = 120°

So, ∠F = ∠BAF = 120°

AFEG is a rhombus.

The rhombus have 2 obtuse angles and 2 acute angles.

∠F is one of the obtuse angles of the rhombus = 120°

∠F and ∠FA G are supplementary angles

So, ∠F + ∠FA G = 180°

∴ ∠FA G = 180° - ∠F = 180 - 120 = 60°

∴ x = ∠GAB = ∠BAF - ∠FA G = 120 - 60 = 60°

So, the measure of the angle x = 60°

yesterday a bakery made 360 bagels.they packed them in bags of 6.they sold 45 bags.how many bags were left.

Answers

Answer:

15 bags left

Step-by-step explanation:

360/6=60

60-45=15

A number written in words is in:
expanded form
standard form
word form
exponential form

Answers

Answer:

Standard form

Two thousand n fifty dollars

Answer:

Standard Form

Step-by-step explanation:

Standard Form is how people write numbers in equations as words.

michael and his brother allen played basketball basketball each basket was worth 5 points michale scored 35 points allen scored 20 points what is the total number of baskets made during this game

Answers

11 baskets. 35+20=55. 55/5= 11

thoả mãn x biết 2(x+5)=x^2+5x

Answers

Answer:

=  2

=  − 5

Step-by-step explanation:

Please help me with this homework

Answers

math you do math okay math math math math math

A cartoon of staples has 50 packages. The carton contains 25,000 staples in all. Each package has an equal number of staples. How many staples are in each package? Explain how to use a basic fact to find the answer.

Answers

Each box contains 500 staples because I know there are 50 packages and 25,000 staples in all so you divide 25,000 by 50 and you get 500 staples in each box

please help this is an 8 grade question ​

Answers

i know this is not the answer, because i haven’t done this in years.. but the slope formula is m=(y2-y1)/(x2-x1)

i got -5… idek! i’m sorry!

The vertices of a triangle are P(7. -4), Q(-7, -8), and R(8,4). Name the vertices of the image
reflected in the y-axis.

Answers

Answer:

P' (-7, -4) , Q' (7, -8) , R' (-8, 4)

Step-by-step explanation:

Reflection in the y -axis:

The rule for a reflection over the y-axis is (x, y) → (−x, y).

P (7, -4) → P' (-7, -4)

Q (-7, -8) → Q' (7, -8)

R (8, 4) → R' (-8, 4)

Fining right answer
Branleist

Answers

The first one, with the negative square root of 15 is irrational since a square root cannot be negative.
The second one is rational
The third one is rational
The fourth one is irrational


Plsss help me blah blah blah I need 20 characters blah blah

Answers

Answer:

A only

Step-by-step explanation:

I knew a good trick to where if all the digits in your number add up to a multiple of 3, the original number is divisible by 3.

5 + 0 + 9 + 9 + 4 = 27

8 + 8 + 0 + 0 + 7 = 23

4 + 1 + 9 + 5 + 7 = 26

6 + 5 + 8 + 3 + 6 = 28

1 + 9 + 7 + 9 + 9 = 35

1 + 9 + 1 + 2 + 1 = 14

The only number divisible by 3 is 50,994

should i do my teast for 12th grade calculus

Answers

Answer:

hope my answer helps you

Step-by-step explanation:

Yes that is definitely possible. You will have to either double up on geometry and algebra II or algebra II and pre-calculus. At my high school, there were multiple people that did the latter. I also knew someone that doubled up on pre-calculus and calculus I, but I don't recommend that.

What is the opposite reciprocal of the slope -7/9?

Answers

Answer: -9/7

Step-by-step explanation:

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