An equation is formed of two equal expressions. The equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation that is given to us is 4x²+24x-y+43=0, and we need to write the given equation in the form of y=(x)². Therefore, the equation can be solved in the following steps,
[tex]4x^2+24x-y+43=0\\\\4x^2+24x-y+36+7=0\\\\(4x^2+24x+36)-y+7=0\\\\(2x+6)^2-(y-7)=0\\\\(y-7)=(2x+6)^2[/tex]
Hence, the equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².
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VA
P and Q are points on the line 3y - 4x = 12
a) Complete the coordinates of P and Q.
do
7
7
P (0,
1) Q(,0)
)
6
5|
b) Plot points P and Q on the graph.
Use the X tool to plot the coordinates.
41
31
c) Draw the line 3y - 4x = 12 for values
of x from -3 to 3.
21
1
2 3
-3 -2 -10
-1
NO
Answer:
Step-by-step explanation:
Write 1.5 as an improper fraction and mixed number in simplest form.
Answer:
1 1/2 (mixed)
3/2 (improper)
Step-by-step explanation:
When the one is put to the side, you get 5/10 if you turn "0.5" into a frsaction. if you simplify 5/10, you get 1/2. Therefore, 1 1/2 is your answer. Your not done yet! After, you need to change 1 1/2 into a improper fraction which is 3/2.
good luck :)
3/2
is the answer to this question
Three adjacent angles form a right angle . The measure of the largest angle is 5 degrees less than 3 times the measure of the smallest angle The measure of the median angle is 5 degrees more than the measure of the smallest angle . What is the measure of the largest angle ?
Answer:
Step-by-step explanation:
The diagonals of rhombus $ABCD$ intersect at $E$ . Given that $m\angle BAC=53°$ , $DE=8$ , and $EC=6$ , find $m\angle AED$ .
Based on the definition of the diagonals of a rhombus, m∠AED = 90°.
What are the Diagonals of a Rhombus?A rhombus has two diagonals that bisect each other at right angles, that is they are perpendicular to each other.
Angle 90 is formed at the intersection of the two diagonals of a rhombus.
In rhombus ABCD, ∠AED is formed at the intersection of the diagonals of the rhombus.
Therefore, based on the definition of the diagonals of a rhombus, m∠AED = 90°.
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Angela had 8 computer games.
She got 3 more for her birthday. But then she gave
away 4 computer games.
4
How many computer games did Angela have then?
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
we're given that Angela formerly had 8 computer games.
★ She got 3 more video games on her birthday.
★ Then she gave away 4 video games.
_____________________________
To calculate - number of computer games she's finally left with._____________________________
[tex]\huge\red{ Solution -}[/tex]
[tex]8 + 3 - 4 \\ \dashrightarrow \: 11 - 4 \\ \dashrightarrow \: 7[/tex]
hope helpful :D
Lonna's rectangle measures 2 1/4 units by 4 1/2 units. what is the area?
[tex]\mathsf\blue{♧ANSWER♧}[/tex]
Area = length × width
[tex] \mathsf \green{4 \frac{1}{2} \times 2 \frac{1}{4} }[/tex]
[tex] \orange \implies \mathsf \green{ \frac{9}{2} \times \frac{9}{4} }[/tex]
[tex] \orange \implies \mathsf \green{ \frac{81}{8} = 10.125}[/tex]
[tex] \mathsf \blue{10.125 \: square \: units}[/tex]
Please help me someone!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
the bill for three bags of peanuts on two medium drinks at the movies with 11.15 dollars is a bag of peanuts cost to $35 how much was 1 drink
Answer:
5.575
Step-by-step explanation:
divide it by 2 its easy
Does anyone know this?
Answer:
9
Step-by-step explanation:
y= mx+b
m is slope
b is y-int
which equation represents a line which is parallel to the line y=3/8x+7
Answer:
8x+3y=-6
Step-by-step explanation:
A certain type of steel is 65% iron. How many pounds of iron are in 120 pounds of this steel?
= 65% x 120 = 78 pounds of iron
Answer:
78
Step-by-step explanation:
65% of 120 = 78
a customer wants you to enlarge a photo to 2 3/4 its current height. the photos current height is 3 1/4 inches. what should its enlarged height be in inches?
this a a joke...
haha goodbye
Answer:6 inches
Step-by-step explanation:
can someone help me with this ?
Answer:
yes I can help you with this but I don't know it
help me pls i’ll reward brainliest
Answer:
D. 288π
Step-by-step explanation:
Volume = [tex]\frac{4}{3}[/tex]π[tex]r^3[/tex]
A = π [tex]\frac{4}{3} (6)^3[/tex]
A = π [tex]\frac{4}{3} (216)[/tex]
A = 288π
I hope this helps!
Problem
The garden club earned
$
15
$15dollar sign, 15 per hour by weeding neighborhood gardens for
t
tt hours. A generous donor has agreed to double their earnings.
How much did the garden club earn in all?
Write your answer as an expression.
$
$dollar sign
help me please. I'll give brainly, thank u >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Answer:
a
Step-by-step explanation:
the solution to the system is at the point of intersection of the linear equations.
the lines intersect at (- 4, 3 )
then solution is (- 4, 3 )
Find the total amount
$16.000 at 14% compounded
semiannually for 2 years
Answer:
The answer would be 20.97273616 or (rounded to the nearest cent) would be $20.97
Step-by-step explanation:
The reason for this is that the formula for compounded interest is [tex]A=P(1+\frac{r}{n})^\frac{t}{n}[/tex] where A is the total amount, P is the initial amount, r is the growth factor or the percent, n is the number of compounding periods, and t is the time. You would substitute P for 16, r for 0.14 (14%), n for 2 as it compounded semiannually so it for every 6 months instead of 1 year (annual) so is compounded 2 times per year, and t for 2. And just solve the equation and you get that A is equal to 20.97273616 but since we are talking about money( only round if asked) then it would be 20.97.
Hope this helps!!!!
A 16 oz box of cereal costs $2.56. How much would a 40 oz box cost?
Answer:
$6.40
Step-by-step explanation:
2.56 / 16 = 0.16
so 16 cents per oz
16 * 40 = 640
find the value of x in the triangle shown below
the answer is c (x=15)...
[tex]\large\bold\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]
[tex]\\ \large \rm{↠Given \: triangle \: is \: right \: angled \: triangle .}[/tex][tex]\\\rm{Pythagorean \: Theorem \: states \: that} \\ \\ \large \rm{↠Hypotenuse = \sqrt {Altitude^{2} + Base ^{2} } } [/tex]
[tex]\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex]
Here,
Hypotenuse = AC ( x )Altitude = AB ( 12 )Base = BC ( 9 )[tex]\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex]
[tex]\rm{↠Substituting \: values }[/tex]
[tex] \large\rm{↠AC= \sqrt {AB^{2} + BC ^{2} } } \\ \\ \large\rm{↠x = \sqrt{12 ^{2} + 9 ^{2} } } \\ \\ \large\rm{↠x = \sqrt{144 + 81} } \\ \\ \large\rm{↠x = \sqrt{225} } \\ \\ \large\rm{↠x =15 }[/tex]
Option C ✓[tex] \underline{\rule{100mm}{3.2pt}}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
What is a number that is 450 rounded to the nearest 10th
What is a number that is 400when rounded to the nearest hundred
Step-by-step explanation:
e.g. 452 and 397
but also e.g. 448 and 429
three number x, y and z are in ratio 5:3:4.find the value of 2x-6y+2z
Answer:
-0
Step-by-step explanation:
In the Screenshot...….
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Is my answer correct?
Answer:
No, x = 3 inStep-by-step explanation:
The area of the rhombus is half the product of its diagonals
A = 1/2(2x*16) = 4816x = 48x = 48/16x = 3[tex]area \: of \: rectangle \\= 4 \times area \: of \:identical \: triangle[/tex]
Explanation :-[tex]area \: of \: rectangle =\\ 4 \times area \: of \:identical \: triangle[/tex]
[tex]48 {in}^{2} = 4 \times \frac{1}{2} \times base \times height \\ 48 {in}^{2} = 2 \times base \times height \\ \frac{48}{2} = 8 \times height \\ \frac{ \cancel{48} {}^{ \: \: 24} }{ \cancel{2}} = 8 \times height \\ \frac{24}{8} = height \\ \frac{ \cancel{24} {}^{ \: \: 3} }{ \cancel{8}} = height \: \\ height = x = 3in \: [/tex]
A rectangular bathroom mirror is 4
feet tall and 7 feet wide. What is its
area?
square feet
Answer:
28
Step-by-step explanation:
area = width x height
area = 7 x 4
area = 28 square feet
Given -
A rectangular bathroom mirror is 4 feet tall and 7 feet wide.ie, length of the mirror, L = 4 feet and breadth of the mirror, B = 7 feet .
To find -
the area of the mirrorSolution -
As we know to find the area of rectangle we use the formula, Area = L × B
Hence, we will be doing the same.
Area = 4 × 7
Area = 28 square feet
What is the x to help me
Answer:
116 degrees
Step-by-step explanation:
the shape is 360 degrees in total
64+64 = 128
360-128 = 232
232/2 = 116
1 > -1/2x + 5 solve for x
Answer:
x is greater than 8
Step-by-step explanation:
Ben thinks that the largest place value that 5.6 and 1.78 have in common is the tenths place. Nichole thinks that the largest place value they have in common is the ones place.
Answer the following in complete sentences:
Who is correct, Ben or Nichole?
Write how you would explain your answer to the person who answered incorrectly.
The place values in 5.6 and 1.78 are the positions of the digits in the numbers
The largest place value common in 5.6 and 1.78 is the ones placeNichole is correctHow to determine who is correct?In a number, the non-zero digit at the left-most position is the greatest place value
This means that:
The greatest place value in 5.6 is 5 (i.e. ones place)
The greatest place value in 1.78 is 1 (i.e. ones place)
So, we can conclude that the largest place value common in 5.6 and 1.78 is the ones place
Hence, Nichole is correct
Read more about place values at:
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(3a+2b−7)−(4b−10) in standard form
Answer: 3a - 2b + 3
Step-by-step explanation:
(3a + 2b - 7) - (4b - 10)
open the bracket
3a + 2b - 7 - 4b + 10
combine like terms
3a + 2b - 4b - 7 + 10
3a - 2b + 3
No links no files, please help! I'll give brainest!
Answer:
A = 35 units²Step-by-step explanation:
Calculate the area of the larger and smaller rectangle and subtract the smaller from the larger.
The formula of an area of a rectangle a x b:
A = a · b
Smaller rectangle 5 x 7:
As = 5 · 7 = 35
Larger rectangle (2 + 5) x (7 + 3) → 7 x 10:
Al = 7 · 10 = 70
The area of the shaded region:
A = Al - As
substitute:
A = 70 - 35 = 35
HI!! Please answer this!
You install a mailbox by buriyng a post as shown. According to postal service guidelines, the bottom of the box must be at least 41 inches, but no more than 45 inches, above the road. Write two inequalities that describe the possible length x, in inches, of the post.
Answer:
41 ≤ x
x ≤ 45
Step-by-step explanation:
In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize
Answer:
Divide 10 by 25 then multiply by 4 to get 40 / 100 which gives you the percentage: 40%