The diagram represents the factorization of a2 8a 12. A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12. What is the missing number that will complete the factorization? 6 8 12 24.
Using factorization, the missing factor is (a + 6) of the given quadratic equation a² + 8a + 12 = 0.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
Given
The quadratic equation is a² + 8a + 12 = 0
The factor of the quadratic equation will be.
[tex]\begin{aligned}a^2 + 8a + 12 &=0 \\a^2 + 6a + 2a +12 &= 0\\(a+ 6)(a +2 ) &= 0\\\end{aligned}[/tex]
Thus, the missing factor is (a + 6).
More about the quadratic equation link is given below.
https://brainly.com/question/17177510
Answer:
6
Step-by-step explanation:
Please help me with this math problem!! NO LINKS PLEASE!! I will give brainliest!!
The two tangent theorem
RS = RT
So ΔRST = isosceles triangle
∠S = ∠T =( 180° - (48°) : 2 = 66°
∠TSR = 66°
Write an equation for the line that passes through the points (0,-6) and (-3,0). HELP
Answer:
Equation: y = -2x - 6.
Step-by-step explanation:
picture
HELP ASAP PLS PLS PLS
Answer:
Last choice
Step-by-step explanation:
(7^x)^y = 7
What is x • y?
answer:
x • y = 1
explanation:
[tex]\left(7^x\right)^y\:=\:7[/tex]
[tex]\left(7^x\right)^y=7[/tex]
[tex]xy=1[/tex]
HELP PLEASE ASAP. What is the area of the figure?
Answer:
24
Step-by-step explanation:
Salima takes 15 minutes from her house to reach her school on a bicycle. If the bicycle has a speed of 2 m/s . Calculate the distance between her house and the school .
Don't spam .
The distance between her house and the school is 1800 meters.
How to get the distance?
We must use the relation:
distance = speed*time
Here we have:
speed = 2m/stime = 15 minutes.We should rewrite the time into seconds, then we have:
15 minutes = 15*(60 seconds) = 900s
Then the distance is:
distance = (2m/s)*(900s) = 1800m
If you want to learn more about speed, you can read:
https://brainly.com/question/4931057
Hey ! there
Answer:
Distance = 1800 mStep-by-step explanation:
In the question we're given that Salima takes 15 minutes from her house to reach her school on a bicycle and bicycle has speed of 2m/s .
And we are asked to calculate the distance between her house and the school .So for finding the distance we need to know the speed formula that is ,
[tex] \: \qquad \: \qquad \: \red{\underline{\red{\boxed{\frak{Speed = \frac{Distance}{Time}}}}}} [/tex]
So ,
[tex] \:\qquad \quad \underline{\boxed{ \frak{Distance = Speed \times Time} } }[/tex]✦
As it's given in the question that the speed of bicycle is 2 m/s and she takes 15 minutes to reach the school . So , for finding distance we must have to convert 15 minutes into seconds .
We know that ,
1 minutes = 60 seconds 15 minutes = 15 × 60 secondsTherefore in 15 minutes we have ,
900 secondsNow Solving : -
[tex] \longmapsto \: \qquad \: \sf{Distance =2 \times 900}[/tex]
By , multiplying 2 and 900 , We get :
[tex] \longmapsto \: \qquad \: \purple{\underline{\purple{\boxed{\frak{ {Distance = 1800 \: m}}}}}}[/tex]
Therefore , distance between her house and school is 1800 metres .#Keep Learningcan you help me pls
Answer:
true
Step-by-step explanation:
power stored during the day can be released in evening hours when the energy is most needed
Yoko made $15,000 in taxable income last year. Suppose the income tax rate is 15% for the first $850Cplus 19% for the amount over $8500 How much must Yoko pay in income tax for last year?
Answer:
$2510Step-by-step explanation:
Amount of tax on $8500:
$8500*15/100 = $1275Amount of income over $8500:
$15000 - $8500 = $6500Amount of tax on $6500:
$6500*19/100 = $1235Total tax is:
$1275 + $1235 = $2510. Jesse's mother needs 24 feet of fabric to make curtains for all of her windows. The fabric is sold by the yard. How many yards of fabric does Jesse's mother need to buy? A 3 yards B 8 yards c 12 yards D 15 yards
Answer:
C
Step-by-step explanation:
Answer:
8 years
Step-by-step explanation:
There 3 feet in yard, so 24 divided by 3 is 8.
List the next four multiples of the fraction.
Thank You! ♡◇♧♤○□●■☆¤《》▪︎
Answer:
2/6, 4/12, 6/18, 8/24, 10/30
Step-by-step explanation:
Multiply 2 by 2 each time for numerator
Multiply 6 by 2 each time for denominator
Hope this helps!
Which of the following expressions is equivalent to the expression bellow using exponents.
15 × 15 × 15 × 15 × 15 =
Answer:
[tex]15^5[/tex]
Step-by-step explanation:
15 × 15 × 15 × 15 × 15 = 15 times itself 5 times
15 times itself 5 times is equal to [tex]15^5[/tex]
The answer is [tex]15^5[/tex]
Hope this helps :)
Have a nice day!
Find the perimeter of the rectangle
Answer:
6x^2 + 8x + 28
Step-by-step explanation:
2 times the length plus 2 times the width gives the perimeter
2(3x^2 + 3x + 6) + 2(x + 8)
6x^2 + 6x + 12 + 2x + 16
6x^2 + 8x + 28
Answer:
12x²+ 28
Step-by-step explanation:
Since to find the perimeter we need to add all the side lengths together. That would give us, 12x²+ 28.
I am learning about areas of regular polygons and I am using the equation A= 1/2 x a x p. a = apothem and p =perimeter. I have a diagram that is a triangle and the only thing i am given is one side of the triangle, the right side, it is 6. How would I find the apothem?
I need help I tried and tried
Answer:
x + 3 = -5
Step-by-step explanation:
Draw any line segment PQ Take any point R not on it. Through R, draw a
perpendicular to PQ. (Use ruler and set square).
Answer:
see image
Step-by-step explanation:
use a ruler and a "set square", a tool to make a neat 90° angle. See image.
Point R can be anywhere as long as it is not on PQ. PQ can be at any angle or any length. There are many, many ways to follow these directions. The idea maybe be to practice using the tools or the idea may be that for any segment and point not on the segment, there exists a way to drop a perpendicular from the point to the segment.
I need help really bad help me pls
Answer: w= 13
Step-by-step explanation: 8+5 is 13
A shirt is sold for £87.50. If its original price was
£125, what is the % discount for the shirt?
%
Help please
Answer:
70%
Step-by-step explanation:
divided 125 by 100 you get 1.25 times that by 70 you get 87.5 wich is the same as 87.50
Helppp i need HELP :'))))
how many models of 100 do you need to model 2,700
Answer:
27
Step-by-step explanation:
well 20 models of 100's=2,000
so now we have 700 left over
so to get to 700 how many 100's does it take=7
so put those 2 numbers together 27
Hope it helps have a great day :}
question is in the attachment
Answer:
the first question A is 28
the second question S is -20
Each face of a cube has an area of 14 cm²?
What is the surface area of the cube?
28 cm²
56 cm²
84 cm²
196 cm²
Answer:
84 cm 2 :)
Step-by-step explanation:
a cube has 6 faces
14 x 6 = 84!
Given, Area of each face = 14 cm^2
So, surface area = 6 × Area of each face
= 6 × 14 cm^2 = 84 cm^2
Hope this helps :)
what is 8536 divisible by
Answer: thank you
Step-by-step explanation:
The number 8,536 is divisible by 2, 4 and 8.
Answer:
2, 4 , 8 & 4273
Step-by-step explanation:
It is only divisible by 2 and 4273, the latter is prime number as well
Hope this helps
how would you find all the possible numbers of rows without having to check if 8 is a factor of every number between 70 and 150?
Answer:
You find it possible by to see that 8 is a factor to 70 and 150 is dividing 8 to both numbers.
Step-by-step explanation:
:D
division was used in the first example.
Find the circumference of each circle. Use 3.14 for tt. Round to the nearest 1 point
hundredth, if necessary.
A circle has been dissected into 16 congruent sectors. The base of one sector is 1. 17 units, and its height is 2. 94 units. Using the area of a triangle formula, what is the approximate area of the circle? circle A is dissected into 16 congruent sectors, one sector is highlighted 27. 14 units2 27. 52 units2 48. 92 units2 76. 44 units2.
The area of a shape is the amount of space on the shape
The approximate area of the circle is 27.52 square units
How to determine the area of the circleThe given parameters are:
Sectors = 16
Base = 1.17 units
Height = 2.94 units
The area of the triangle is:
[tex]A_1 = 0.5 * Base * Height[/tex]
So, we have:
[tex]A_1 = 0.5 * 1.17 * 2.94[/tex]
[tex]A_1 = 1.7199[/tex]
The approximate area of the circle is then calculated as:
[tex]A_2 = 16 * A_1[/tex]
This gives
[tex]A_2 = 16 * 1.7199[/tex]
[tex]A_2 = 27.52[/tex]
Hence, the approximate area of the circle is 27.52 square units
Read more about areas at:
https://brainly.com/question/24487155
Answer:
27.52
Step-by-step explanation:
A = 1/2 bh
fill in the given information
A = 1/2 (1.17)(2.94)
multiply 1.17 and 2.94
A = 1/2 (3.4398)
Mutiply 3.4389 by 1/2 or divide 3.4398 by 2 (it is the same thing)
A = 1.7199
Now you have the area of one of the triangles, so you have to find the area of the whole circle or 16 triangles.
A = 1.7199 (16)
Mutpily
A = 27.5185
round to the nearest hunderth
A = 27.52
:)
The Smith's took out a $340,000, fixed 30-year
mortgage at a fixed APR of 3%. The monthly payment
was $1722.
How much interest will they have paid after 30 years?
Answer:
I= PRT ÷100
Step-by-step explanation:
I = 340000×30×3 ÷100
To the nearest cent, how much interest will he earn in 1 year?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$8815\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1 \end{cases} \\\\\\ A=8815\left(1+\frac{0.10}{1}\right)^{1\cdot 1} \implies A=8815(1+0.10)^1\implies A=9696.5[/tex]
The local newspaper has letters to the editor from 70 people. If this number represents 4% of all of the newspaper's readers, how many readers does the newspaper have?
Answer:
1750 people
Step-by-step explanation:
4%*25=100%
100%= is the whole
so it would be 70x25=1750