Answer:
y=(x+1)^2-7
Step-by-step explanation:
y=x^2+2x-6=x^2+2x+1-7
y=(x^2+2*1*x+1^2)-7
y=(x+1)^2-7
vertex form equation is y=a(x-h)^2+k
of equation y=ax^2+by+c
so a is 1
h is -1 because (x+1)=(x-(-1))
k is -7
what are the coordnates of D if E (-2,2)is the midpoint of DF and F has the coordnates of (3,5)
Hi there & welcome to brainly!
Answer:
( -7 , -1 )Step-by-step explanation:
Let the co-ordinates of D be ( x , y )
Let D ( x , y ) be ( x1 , y1 ) and F ( 3 , 5 ) be ( x2 , y2 )
Midpoint of DF = E ( -2 , 2 )
Now, finding the co-ordinates of D :
[tex]\boxed{\sf{ midpoint = (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} ) }}[/tex]
⇒ [tex]\sf{ ( - 2 , 2 ) = (\frac{x + 3}{2} , \frac{y + 5}{2} )}[/tex]
Equating corresponding elements, we get :
[tex]\sf{-2 = \frac{x + 3}{2} }[/tex]
⇒ [tex]\sf{ -4 = x + 3 }[/tex]
⇒ [tex]\sf{ x + 3 = -4 }[/tex]
⇒ [tex]\sf{ x = -4 - 3}[/tex]
⇒ [tex]\sf{x = -7 }[/tex]
Again,
[tex]\sf{ 2 = \frac{y+5}{2} }[/tex]
⇒ [tex]\sf{y + 5 = 4 }[/tex]
⇒ y = 4 - 5
⇒ y = -1
Hence, The co-ordinates of D = ( -7 , -1 )
Hope I helped!
Best regards! :D
~TheAnimeGirl
somebody answer this and ill give u the brainliest
Answer:b
Step-by-step explanation:give me my brainly
Corey is taking a bus to her grandparent's house. The fee is
$12.00 plus $0.12 per mile. It is 58 miles to her grandparent's
house. Her parents send her with $15.00. If her grandparents
are planning on paying the balance when she arrives, how
much will they owe?
HELP I NEEED SOME HELPPPP
Answer:
x = 4
Step-by-step explanation:
9.40 is 50% of what number
Answer:
18.8
Step-by-step explanation:
just multiply 9.4 by 2
(4, -6) and perpendicular y=-2x+1
Answer:
y = 1/ 2 x − 8
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line and use the point-slope formula
y − y 1 = m ( x − x 1 ) to find the line perpendicular to y = − 2 x + 1 .
what is the opposite of -89?
Answer:
89
Step-by-step explanation:
Simplify to a single trig function with no denominator.
tan? x + 1
Answer:
sec²x
Step-by-step explanation:
Using the trigonometric identity
tan²x + 1 = sec²x
9514 1404 393
Answer:
sec² x
Step-by-step explanation:
It is a trig identity that ...
tan² x + 1 = sec² x
_____
If you like, you can convince yourself of this using the usual equivalents for tan and sec:
tan² x + 1 = sin² x/cos² x +1 = (sin² x + cos² x)/cos² x = 1/cos² x = sec² x
from $117 to $91
22%decrease Or 29%decrease
Matt took a train traveling at an average speed of 80 mph from Boston, MA to Washington, D.C. The trip took 6 hours. On his way back to Boston, Matt decides to take an express train that travels at an average speed of 100 mph. How long will the trip home take?
Answer:
The trip will take 4.8 hours
Step-by-step explanation:
Firstly, we need to calculate the distance from Boston to Washington
Mathematically:
Distance = speed * time
Distance = 80 mph * 6 hours = 480 miles
Now we want to calculate the time it will take a train that travels at a speed of 100 mph
Mathematically;
time = distance/speed
time = 480/100 = 4.8 hours
Abigail is making a trail mix. She pours 2 15 cups of pretzels, 35 cups of raisins, 1 cup of peanuts, and 45 cups of M&Ms into a bowl. How many total cups of trail mix will she have?
Answer:
296 cupsStep-by-step explanation:
We are expected to solve for the total number of cups, we can achieve this by adding all the individual ingredients together.
Given the number of cups poured
pretzels= 215 cups
raisins= 35 cups
peanuts= 1 cup
M&Ms= 45 cups
So the total is 215+35+1+45= 296 cups
Please help!
h(-5)=
Answer:
-2
Step-by-step explanation:
Answer:
h(-5) = 2
Hope this helps! I apologize if I'm incorrect
1. Select all polynomial expressions that are equivalent to 6x4 + 4x2 – 7x² + 5x + 8.
A. 16x10
B. 6x5 + 4x4 – 7x3 + 5x² + 8x
C. 6x4 + 4x3 - 7x2 + 5x + 8
D. 8 + 5x + 7x2 - 4x3 + 6x4
E. 8 + 5x – 7x2 + 4x3 + 6x4
Answer:
Options (C) and (E)
Step-by-step explanation:
Given polynomial is,
6x⁴+ 4x³- 7x² + 5x + 8
So all the polynomials which are (look alike) similar in terms of degree and number of terms to the given expression will be equivalent.
Option (A).
[tex]16x^{10}[/tex]
It's a monomial. So not the answer.
Option (B).
6x⁵ + 4x⁴ - 7x³ + 5x² + 8
This polynomial is a 5th degree polynomial, will not be equivalent to the given polynomial expression with 4 degree.
Option (C).
6x⁴ + 4x³ - 7x² + 5x + 8
All the terms and signs between the terms of this expression are similar to the given polynomial expression,
Expression will be equivalent to the given polynomial expression.
Option (D)
8 + 5x + 7x² - 4x³ + 6x⁴
= 6x⁴- 4x³ + 7x² + 5x + 8
Both are similar in number of terms and degree but signs between the terms are different.
Therefore, both the expressions are will not be equivalent.
Option (E).
8 + 5x - 7x² + 4x³ + 6x⁴
= 6x⁴ + 4x³ - 7x² + 5x + 8
Since, both the polynomials are similar so they are equivalent.
what is 20 minutes past 8
Answer:
8:20
Step-by-step explanation:
you just ads 20 minutes to 8:00
I need a step by step solution 3(2+7)-5
Answer:
22
Step-by-step explanation:
3(2 + 7) - 5
~Simplify
3(9) - 5
~Multiply
27 - 5
~Subtract
22
Best of Luck!
Answer:
22
Step-by-step explanation:
2+7=9
3*9=27
27-5=22
One rule of thumb for estimating crowds is that each person occupies 3 square feet. Use this value to determine the number of people that would fit in a room that is 354in by 714 in.
Answer:
84252 personsStep-by-step explanation:
Given that the dimension of the room is
354in by 714in
let us find the area of the room
A=354x714
A=252,756in^2
The rule say 1 person occupies 3 in^2
hence x person will occupy 252,756in^2
cross multiply we have
3x=252,756
x=252,756/3
x=84252 persons will occupy the room
Help plz! I’m stuck!
David wants to arrange the cars on his car lot. He wants to park the cars in
rows with the same number of each type of car in each row. What is the
greatest number of rows David can have?
Number of Cars
Sports Car-72
SUV-60
Sedans-48
Trucks-84
Answer:
48 rows
Step-by-step explanation:
Answer:
werid options but 24
Step-by-step explanation:
95 original cost 20% markup
Answer:
markup = 95 * .20 = 19
price + markup = sale price
95 + 19 = 114
y= (x - 3)2 + 2
Pls help ASAP
Answer:
x=y/2+2
Step-by-step explanation:
Answer:
x-12
Step-by-step explanation:
2+2 = 4 so if multiply that to 3 it will equal 12. After that it will be (x-12)
Is 0.03 and0.3 equivalent to 03=3
Answer:
no
Step-by-step explanation:
which expression is equivalent to 6a + 12
Answer:
An equivalent expression would be 2(3a+6)
someone please please help DUE in THIRTY MINUTES
show work
isosceles triangles means that the two bottom angles and sides are equal
therefore, you can set R and T equal to each other:
(15x-31)=(9x+11)
(get x to one side)
15x=9x+42
6x=42
x=7
now you can plug x back into the equations:
15(7)-31
105-31
74
R and T = 74
all triangles' internal angles = 180
therefore you can add the two angles then subtract them from 180
74+74=148
180-148=32
S should be 32 :)
I’ll give brainiest please hurry
Answer:
c
Step-by-step explanation:
what is six eighths minus one fourth
Answer:
1/2
Step-by-step explanation:
6/8-1/4
6/8-2/8
4/8
or one half
The value of six eights minus one fourth is 1/2
What is expression?An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.).
Example of expression includes; 5x -2 , 5/2 , x +y . When two ore more terms are joined with an operation,we can call it expression.
six eights = 6/8
one fourth = 1/4
Therefore
of six eights minus one fourth
= 6/8 - 1/4
= 6 - 2/8
= 4/8
divide through by 4
= 1/2
Therefore the value of 6/8-1/4 is 1/2
learn more about expression from
https://brainly.com/question/1859113
#SPJ6
Trevor plans on buying a car. Four banks offer the annual interest rates shown. Which list shows these interest rates in order from greatest to least?
Complete question :
Trevor plans on buying a car. Four banks offer the annual interest rates shown.
Which list shows these interest rates in order from greatest to least
3 1/10%, 3 2/5%, 3 1/4%, 3 1/3%
Answer:
3 2/5% ; 3 1/3% ; 3 1/4% ; 3 1/10%
Step-by-step explanation:
Arrange the given interest rates in order ; greatest to least :
To make comparison easier, we can convert the fractional values to decimal ;
3 1/10%, 3 2/5%, 3 1/4%, 3 1/3%
3 1/10% = 3 + (1/10 = 0.1) = 3 + 0.1 = 3.1%
3 2/5%, = 3 + (2/5 = 0.4) = 3 + 0.4 = 3.4%
3 1/4%, = 3 + (1/4 = 0.25) = 3 + 0.25 = 3.25%
3 1/3% = 3 + (1/3 = 0.333) = 3 + 0.333 = 3.33%
Hence, arranging in descending order (greatest to least) :
3 2/5% > 3 1/3% > 3 1/4% > 3 1/10%
3 2/5% ; 3 1/3% ; 3 1/4% ; 3 1/10%
Using the number lines what is the equivalent fraction for 4/4
50 POINTS
If ƒ(x) = 2x2 + 3, then which of the following represent ƒ(x + 1)?
A.)2 x2 + 4 x + 5
B.)2 x2 + 2
C.)x2 + 3
D.)2 x2 + 4 x + 1
Answer:
it is d. i think
Step-by-step explanation:
In a certain school, there are 4 girls for every 5 boys. If there are 560 girls in the school, how many boys attend school?
Answer:
700 Boys attend the school
Help me, pleaseeeeee:)(:
Answer:
X= 128º
Step-by-step explanation:
A triangle is stated to have 180º. This means that since we know 2 sides of the triangle you can simply subtract them from one another.
Doing this you would get: 180 - 90 - 38 = 52º
Noticing that X is on a straight line, this would result in the fact that X is on a line of 180º.
Subtracting the angle we found in the triangle would result you with the answer of:
180 - 52 = 128º for the value of X
Evaluate the expression.
-0.3 x (0.5 + 0.6 x - 1)
Answer:
-0.03
Step-by-step explanation:
you multiply everything in the parenthesis by -0.3
so that would give you -0.15,-0.18, and 0.3
then you add all of those together and that gives you -0.03