Answer:
6(x2 + 2)
Step-by-step explanation:
6
2
+
1
2
{\color{#c92786}{6x^{2}+12}}
6x2+12
6
(
2
+
2
)
{\color{#c92786}{6(x^{2}+2)}}
6(x2+2)
Answer:
6(x^2+2)
Step-by-step explanation:
Hope this helps and have a nice day :)
The length and width of a 6-inch by 8-inch photograph are reduced by the same amount to make a new photograph whose area is half that of the original. By how many inches will the dimensions of the photograph have to be reduced?
Answer:
The dimensions have to be reduced by 2 inches
Step-by-step explanation:
Given that the dimensions are: 6 by 8 inches which means that the area is 48 square inches.
Let x be the amount to make a new photo which is half of the area that means
The new dimensions will be: (8-x) by (6-x) and as the area is half
The area of new photo will be: 48/2 = 24
Putting it mathematically
[tex](8-x)(6-x) = 24\\8(6-x)-x(6-x)=24\\48-8x-6x+x^2=24\\48-14x+x^2=24\\x^2-14x+48-24=0\\x^2-14x+24=0\\x^2-12x-2x+24=0\\x(x-12)-2(x-12)=0\\(x-2)(x-12)=0\\x-2=0 => x=2\\x-12=0 =>x=12[/tex]
Subtracting 12 from both dimensions will make them negative so 12 cannot be the solution.
Hence,
The dimensions have to be reduced by 2 inches
We want to see by how much we must reduce the dimensions of the photograph in order to reduce its area to half. We will find that we must reduce each measure by 2 inches.
The original measures of the photograph are:
length = 6 inwidth = 8 in.Then the area is:
A = (6 in)*(8 in) = 48 in^2
Now we want to define a new length and a new width:
L' = (6 in - n)W' = (8in - n)such that:
A' = L'*W' = 24 in^2
(6 in - n)*(8in - n) = 24 in^2
48in^2 - n*14 in + n^2 = 24 in^2
n^2 - n*14 in + 24in^2 = 0
This is a quadratic equation, we can solve this for n by using Bhaskara's formula, we will get:
[tex]n = \frac{14in \pm \sqrt{(-14)^2 - 4*1*24in^2} }{2*1} \\\\n = 7in \pm 5 in[/tex]
The only solution that makes sense is:
n = 7in - 5in = 2in
This means that we need to reduce each measure by 2 inches.
If you want to learn more, you can read:
https://brainly.com/question/14405879
Malik and Mia both converted to a decimal. Malik says
the answer is 0.45 and Mia says the answer is 0.45. Which
answer is correct? Explain why that is the correct answer, and
the other is incorrect.
Answer:
0.45=0.45 so they are either both wrong or both correct
Step-by-step explanation:
both answers are probably correct
Visit lives 5km from the school. She walks 1km at 4km/h and travels the rest of the way by bus at 16km/h. What is the average speed for the whole journey
Answer:
0.63km/h
Step-by-step explanation:
Step one:
given data
total distance= 5km
velocity of walk= 4km/h
distance covered while walking= 1km
time taken to walk
t1= 4/1
t1= 4hours
Step two:
velocity of bus= 16km/h
distance covered while walking= 5-1= 4km
time taken to walk
t2= 16/4
t2= 4hours
total time = 4+4=8hours
Average speed= total distance/total time taken
average speed= 5/8
average speed=0.63km/h
A sergeant received an order to relocate the squad from its current location T (3, -2) on the coordinate plane to a new location S. The movement of the squad is described by the translation (x, y)⟶(x-4, y+6). What are the coordinates of the new location S of the squad?
Answer:
(-9,-2)
Step-by-step explanation:
The translated coordinates are (-1,4).
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation. The translation is done on the coordinate plane a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
Given that A sergeant received an order to relocate the squad from its current location T (3, -2) on the coordinate plane to a new location S. The movement of the squad is described by the translation (x, y)⟶(x-4, y+6).
The translated points will be calculated as below:-
( 3, -2 ) ⇒ [ ( 3 - 4 ) , ( -2 + 6 ) ]
( 3, -2 ) ⇒ [ ( -1 ) , ( 4 ) ]
Therefore, the translated coordinates are (-1,4).
To know more about translation follow
https://brainly.com/question/12861087
#SPJ2
how do you change a rational number to a decimal? give an example
Answer:
If the rational number is a fraction (of course) divide it. For example, 1/2 can be divided as 1 divided by 2 which is 0.5.
If the number is an integer, you can simply just add .0 (point zero). For example, if the rational number is 12, the decimal version would be 12.0.
If the number is a fraction, you can divide the numerator by the denominator. For example, if the rational number is 1/10 (one tenth), just can divide one by zero to get 0.1 (zero point one).
the first one TO GET IT CORRECT will get brainliest plus 11 points :)
Answer:
6 x 2.5 = 15
8 x 2.5 = 20
L x W = 300 square units
Step-by-step explanation:
Brainliest?
2. Factor completely
16x^5 - 48x^4 + 40x²
Answer:
8x^2(2x^3 - 6x^2 + 5).
Step-by-step explanation:
The GCF is 8x^2 so we have:
8x^2(2x^3 - 6x^2 + 5)
The Rodriguez family took 5.5 hours to gather information for their Schedule A. The itemized deductions saved them $4,095 in taxes. What was the mean savings per hour to fill out Schedule A tax form?
Answer:
The mean saving was $744.54 per hour to fill out Schedule A tax form.
Step-by-step explanation:
Given that:
Time taken by Rodriguez family = 5.5 hours
Amount saved in taxes = $4095
5.5 hours = $4095
The mean savings per hour can be calculated by dividing the total hours taken by the amount saved in taxes.
1 hour = [tex]\frac{4095}{5.5}\\[/tex]
1 hour = $744.54
Savings per hour = $744.54
Hence,
The mean saving was $744.54 per hour to fill out Schedule A tax form.
Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:
ax – c = bx + d
ax – bx = d + c
x (a – b) = d + c
x = x equals StartFraction d plus c Over a minus b EndFraction.
How can Victoria justify Step 3 of her work?
Rewrite the expression on the left using the distributive property.
Multiply both sides by x.
Rewrite the expression on the left using subtraction.
Divide both sides by x.
Answer:
Rewrite the expression on the left using the distributive property.
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
write a two-step equation that involves division and addiction and had a solution of x=-25
Answer:
I didnt get
Step-by-step explanation:
You mean,
x + 0.y + 25 = 0
Step-by-step explanation:
2x-25=25
2x=50
x=50
2
x=25
hope u want this..
need help asap please
Answer:
If your looking for #11 I think the answers -5
Step-by-step explanation:
PLZZZZZZZZZZZZZZZ HELP I HAVE NO CLUE ON WHAT THE ANSWER ARE!!! PLZZZZZZZZZZZZZZZZZZZZZZZZZ HELP!!!!
Which expressions are equivalent to the expression (look at the first image) Select all that apply.
ANSWERS CHOICES IN SECOND IMAGE
AND EXPLAIN ITTTTTTT PLZZZZ
it seems like E is the one that looks simlar
if not im
so sorry
the ratio of the heights 1.50 cm and 75 cm of two person can be written as
Answer:
1 : 50
Step-by-step explanation:
1.50 : 75
Multiply by 2 so there are no decimals.
3 : 150
Divide by 3 to simplify.
1 : 50
Answer:
1:50 & 1:5
The ratio of heights 1.50 m and 75 cm of two people can be written as 1:50 and 1:5.
Find the equation of OP.
F (x + 4)2 + (y – 2)2 = 3
G (x + 4)2 + (y - 2)2 = 9
H (x – 4)2 + (y + 2)2 = 3
J (x - 4)2 + (y + 2)2 = 9
Answer:
G
Step-by-step explanation:
Help me help me help me help me help me help me
Answer:
no that is incorrect I know because i took this test already
Answer:bnjckfkf
Step-by-step explanation:
Dhcj
Se desea sujetar un poste de 20 metros de altura con un cable que parte de la parte superior del mismo hasta el suelo de modo que forme un ángulo de 30 metros.¿Cual es la longitud del cable?
Answer:
la longitud del poste es ... creo que 60? No soy bueno con los medidores, pero espero que esto ayude.
11=x-(-20) do not know how to solve trynna get grade up
Answer:
11/20 ; 0.55
Step-by-step explanation:
11= 20x
20x= 11
x= 11/20 ; 0.55
Answer:
x = −9
Step-by-step explanation:
Step 1: Simplify both sides of the equation
11 = x + 20
Step 2: Flip the equation
x + 20 = 11
Step 3: Subtract 20 from both sides
x + 20 − 20 = 11 − 20
x = −9
in JKL, if m<J is 7 less than m<L and m<K is 21 less than twice m<L, find the measure of each angle
Answer:
Step-by-step explanation:
First you must know that the sum of angle in a triangle is 180degrees
In triangle JKL, <J+<K+<L = 180 ..... 1
If m<J is 7 less than m<L , then;
m<J = m<L -7 ..... 2
If m<K is 21 less than twice m<L then;
m<K = 2m<L - 21 ...... 3
Substitute 2 and 3 into 1;
from 1; m<J+m<K+m<L = 180
m<L - 7 + 2m<L - 21 + m<L = 180
4m<L - 28 = 180
4m<L = 180+28
4m<L = 208
m<L = 208/4
m<L = 52 degrees
Get m<J;
m<J = m<L -7
m<J = 52-7
m<J = 45 degrees
Get m<K;
m<K = 2m<L - 21
m<K = 2(52) - 21
m<K = 104 - 21
m<K = 83degrees
the sum of two numbers is 9 and their difference is 1
Answer:
5 and 4
Step-by-step explanation
5 plus 4 is 9 and 5 and 4 are only one space apart
What is the solution to the following system??
A) (2.5,0)
B) (5,1)
C) (0,2)
D) (1,5)
Answer:
C
Step-by-step explanation:
at least i think so
Suzy bought an Ipad for $432 and case for $57. If she gives the cashier $550, how
much will she get back?
Answer:
61 $
Step-by-step explanation:
Answer:
she would get 61 dollars back
Step-by-step explanation:
432+57=489 550-489=61 dollars
find ten rational numbers between -2/5 and 1/2 (i need in a proper explaination please answer fasttt!!!)
Answer:
-0.39, -0.38, -0.37, -0.36, -0.35, -0.34, -0.33, -0.32, -0.31, -0.3
Step-by-step explanation:
Rational numbers are basically any number that are not numbers with non-recurring decimals or non-terminating decimals.
-[tex]\frac{2}{5}[/tex] = -0.4
[tex]\frac{1}{2}[/tex] = 0.5
Thus, any number from -0.4 to 0.5 with decimals (if any), that will terminate and not stretch forever is rational. [tex]\frac{1}{3}[/tex] is not rational. Decimals that repeat are also rational. pi is not rational.
Pedro is getting balloons for his grandfather's birthday party. He wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Pedro wants to get 46 balloons, how many yards of string will he need?
Answer:
276
Step-by-step explanation:
One number is three more than the second number. Twice the first is nine less than three times the second. What are the two numbers?
Answer:
16 and 13
Step-by-step explanation:
Let the second no is x
First no = x+3
Twice the first is nine less than three times the second.
We can write in the form of equation as follows :
2(x+2) = 3x-9
Solving brackets first
2x+4=3x-9
Taking like terms together
9+4=3x-2x
13=x
First no = x+3 = 13 + 3 = 16
So, first and second numbers are 16 and 13 respectively.
14x3 + 6x2 + 12xy2 =
Answer:
2x⋅(7x2−3x+6y 2 )
Step-by-step explanation:
40 ÷ 1+ 3 - ( 3 × 7) + 7 - 5
Answer:
24
Step-by-step explanation:
PROVE THAT TWO TRIANGLES ARE CONGRUENT USING THE SAS CONGRUENCE CRITERIA PLEASEEEEE I NEED ASAP DUE IN 15 MINS PLEEEEASE
Answer:
Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The length of DE is congruent to the length of FG, which is sqrt(5). The length of EF and GH are congruent too. Two pairs of sides are congruent, one pair of angles are congruent (vertical), SAS
Janice bought 28 apps for her phone that, altogether, used 1,348 MB of space. If half of the apps were free and the other half were $1.99 each, about how much money did she spend?
Answer: $ 27.86
28÷2=14
14×1.99= 27.86
I hope this is good enough:
Answer:
$28
Step-by-step explanation:
1,348/28
1,200/30
Each app used about 40 MB memory.
28/2= 14 apps
14*1.99=
14*2
=28
She spent about $28.
If Liana needs $5 to buy 6 mechanical pencils, how much money does she need to buy 7 pencils?
The population of fish in a take was approximately 5.4 * 10 ^ 4 in 2012. The next year, 2013population tripled What was the opproximate population of fish in this in 2013?
Pleaseeee
The population of fish in a lake was approximately 5.4 * 10 ^ 4 in 2012.
The approximate population of fish in this in 2013 since the amount of the fish tripled is 1.62 × 10⁵
Scientific notation is the proper format of denoting and representing large numbers into simpler forms multiplied by raising them to the power of 10.
Given that:
The approximate number of fish in 2012 is: 5.4 × 10⁴In 2013, when the population of the fish tripled the amount it was in 2012;
Then, we can calculate the total population of fish in 2013 as:
[tex]\mathbf{=( 5.4 \times 10^4) \times 3}[/tex]
= 162000
= 1.62 × 10⁵
Therefore, we can conclude that the approximate population of fish in 2013 is: 1.62 × 10⁵
Learn more about scientific notation:
https://brainly.com/question/1705769?referrer=searchResults