Answer:
y = 2 (x + seven-halves) squared minus one-fourth [y = [tex](x + \frac{7}{2} )^{2} - \frac{1}{4}[/tex] ]
Step-by-step explanation:
We know that,
vertex form is y = a(x-h)² + k
vertex is (h, k)
Now,
Given that the equation is -
y = (x+3)² + (x+4)²
= x² + 3² + 2×3×x + x² + 4² + 2×4×x
= x² + 9 + 6x + x² + 16 + 8x
= 2x² + 14x + 25
= [tex]x^{2} + 7x + \frac{25}{2}[/tex]
= [tex]x^{2} + 7x + \frac{25}{2} + \frac{49}{4} - \frac{49}{4}[/tex]
= [tex](x + \frac{7}{2} )^{2} + \frac{25}{2} - \frac{49}{4}[/tex]
= [tex](x + \frac{7}{2} )^{2} - \frac{1}{4}[/tex]
∴ we get
The vertex form is -
y = [tex](x + \frac{7}{2} )^{2} - \frac{1}{4}[/tex]
So,
The correct option is - y = 2 (x + seven-halves) squared minus one-fourth (y = [tex](x + \frac{7}{2} )^{2} - \frac{1}{4}[/tex] )
Answer:
b
Step-by-step explanation:
edge 2021
[tex]\sqrt[3]{-125^{4} }[/tex]
plz give me the full step
Answer:
-166.6666667
Step-by-step explanation:
the full step u r welcome
somebody please help me again
Answer:
4 bags will be required.
Step-by-step explanation:
Patio is in the shape of a parallelogram.
Formula for the area of a parallelogram is,
Area = [tex](\text{Base})(\text{Height})[/tex]
= 16.2 × 12
= 194.4 square feet
∵ 50 square feet area is covered by 1 bag of concrete mix.
∴ 1 square feet area will be covered by [tex]\frac{1}{50}[/tex] bag of concrete mix
∴ 194.4 square feet patio will require the concrete mix = [tex]\frac{194.4}{50}[/tex]
= 3.888
≈ 4 bags
Therefore, 4 bags of concrete mix will be required by Dave to add a new patio.
Please and thank you
Please help me! this got deleted at first for some reason
Answer: 55 Square inches
Step-by-step explanation:
You should find the area of the square and rectangle separately
To find the area you multiply length times width, so the area of the square is 4×4 which equals 16
Then you do the same to the rectangle, 13×3=39
To find the area of the whole figure you add the area of the two shapes together 16+39 which should give you 55
A mortgage has an initial balance of $150,000 and is charged 5% yearly interest applied monthly. If a person makes a payment of $1000 each month, which of the following is closest to the mortgage balance after 3 months of payments?
(1) $145,165
(2)$147,520
(3)$148,160
(4)$148,870
A mortgage loan is termed as a loan that is used to purchase or maintain a home, land or other pieces of real estate.
The borrower agrees to repay the amount of loan to the lender over a period of time, usually in a series of regular installments divided into principal and interest. The property is used as security for the loan.
Calculation of the amount of mortgage is as follows:
[tex]\text{Interest}= \text{Mortgage amount} \times\frac{0.05}{12}\times3[/tex] = 1875
[tex]\text{Principal Pay }= 1000 \times3[/tex] = 3000
Total amount paid = Interest + principal pay = 1875 + 3000 = 4875
Initial balance = 150000
The remaining balance for the mortgage amount = initial balance - the total amount paid.
Amount of mortgage = $ 145125.
Therefore the closest to the mortgage balance after 3 months of payments is
(1) $145,165.
To know more about the calculation of the mortgage amount, refer to the link below:
https://brainly.com/question/24913140
Ivan earns $8 each time he walks his neighbor's dog. He already walked the dog 5 times. How many more times does he need to walk the dog to earn enough money to buy a game that costs $88?
Answer: 6 more times!
Step-by-step explanation:
Ashley walks One-third of a mile each day. After 10 days, how many miles has she walked?
Answer:
3 Miles
Step-by-step explanation:
Answer:
10/3 = 3 1/3
Step-by-step explanation:
According to the information given in the word problem, she walks one-third of a mile each day.
1/3 x 10/1 = 10/3
10/3 = 3 1/3 (simplified).
Kayla owns a food truck that sells tacos and burritos. She sells each taco for $3 and each burrito for $7.25. Yesterday Kayla made a total of $595 in revenue from all burrito and taco sales and there were twice as many burritos sold as there were tacos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system.
help please!! i just need to know if it’s a b c or d
Answer:
hey it is 15.71 thanks for points
17. Name four linear pairs
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9. Select all the statements that must be true.
Parallelograms have four congruent sides
Both sets of opposite sides of a parallelogram are parallel and congruent
A trapezoid is a parallelogram
Diagonals of a parallelogram bisect each other
Diagonals of a parallelogram are congruent
The true statements about parallelograms are,
Both sets of opposite sides of a parallelogram are parallel and congruent.
A trapezoid is a parallelogram.
Diagonals of a parallelogram bisect each other.
What is a parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
The area of a parallelogram is base multiples by height as two triangles form a parallelogram.
The true statements about parallelograms are,
Both sets of opposite sides of a parallelogram are parallel and congruent.
A trapezoid is a parallelogram.
Diagonals of a parallelogram bisect each other.
learn more about parallelograms here :
https://brainly.com/question/1563728
#SPJ2
Point R has coordinates of (-6,-4). If line segment RS is 7 units in length, which could be the coordinates for point S?
Answer:
To be honest I haven't learned this yet so please reach out to me later
Segment MN and Segment PQ intersect at R, as seen in the diagram at the right. Find x, m∠ MRQ, m∠ QRN, m∠ NRP, m∠ PRM.
A) x=10, m
B) x=20, m
C) x=15, m
D) x=18, m
The value of x which is included in terms of both the angles ∠PRM and ∠NRP is given by: Option D: x = 18
What are supplementary angles?Two angels whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
Here, we're specified that:
m∠PRM = measure of angle PRM = (7x -11)°m∠NRP = measure of angle NRP= (4x -7)°They are adjacent and line segments MR and RN are forming a straight line MN, so these angles are supplementary. That means:
(7x -11)° + (4x -7)° = 180°
Opening the brackets, and solving in terms of magnitude, we get:
[tex]7x - 11 + 4x -7 = 180\\11x - 18 = 180\\11x = 180+18 \\\\x = \dfrac{198}{11} = 18[/tex]
Thus, the value of x which is included in terms of both the angles ∠PRM and ∠NRP is given by: Option D: x = 18
Learn more about supplementary angles here:
https://brainly.com/question/2882938
can someone pls help ASAP :(
Answer:
20.5
Step-by-step explanation:
AB= Sqare root of 15^2 + 14^2
USe pythagoras' theorum
HI GIRLIES HELP ME PLEASE :) THANK U SM LIKE I LITERALLY AM IN LOVE WITH YOU
Answer:
I think it's B I really don't know though
Pour connaitre la distance qui la separes dune ile armelle vise un arbre de deux endroit distant de 10m sur une berge elle a pris les mesures données sur le desin suivant
Répondre:
AI = 32,36 m
IE = 30,78 m
Explication étape par étape:
Utilisation de Pythagore:
Cosθ = adjacent / hypoténus
AI = hypoténus
θ = 72 °
Adjacent = 10 m
Cos 72 = 10 / AI
0,3090169 = 10 / AI
AI = 10 / 0,3090169
AI = 32,36 m
De la trigonométrie;
IE = opposé
Adjacent = 10m
Tanθ = opposé / adjacent
Tan 72 = IE / 10
IE = Tan 72 * 10
IE = 3,0776835 * 10
IE = 30,78 m
x 2 +6x+___ complete the square
i’m trying to find the 6 ratios in this.
Our 6 ratios:
10/24
10/26
24/26
24/10
26/10
26/24
Please help I’ll give brainliest
Answer:
50
Step-by-step explanation:
Answer: the tip you should leave is 4.2
14 is 0.04
do 0.04 times 30 and you get 4.2 which is 14 % of 30
Step-by-step explanation:
A store is advertising a sale with 10% off all items in the store. The sales tax is 5%. A 55-inch
television is regularly priced at $855. What is the total price of the television, including sales tax,
if it was purchased on sale?
Answer:
$812.25
Step-by-step explanation:
Given data
Cost of TV= $855
Discount= 10%
Tax= 5%
Let us find the amount of the Discount
=10/100*855
=0.1*855
=$85.5
Let us find the amount of the Tax
=5100*855
=0.05*855
=$42.75
Hence the cost of the TV is
=855+42.75-85.5
=897.75-85.5
=$812.25
Jeosksjdjdjdjjdjdjdjdj2+2 djskksosowo
Answer:
Watta is ittz
Step-by-step explanation:
:><>> :p hsjsjyzjsbshsgss 2+2 is 4....
You bought an item for $25 on Ebay and plan on marking it up 65%. What price will you sell your item for to the nearest dollar?
Answer:
$41.25
Step-by-step explanation:
The original price is $25. You want to sell it for 65% more. To find this amount, we need to find 65% of 25.
Let's make an equation.
65/100 • 25 = x
Multiply.
x = 16.25
Now we know how much you want to mark it up by.
Add this to your base of $25.
25 + 16.25
= 41.25
You want to sell it for $41.25.
Hope this helps!
Divide 1 hour in the ratio 20%to 80%
Answer:
12min 48min
Step-by-step explanation:
1hr=60min
60x20%=12min
60x80%=48min
Answer:
1 : 4
Step-by-step explanation:
20% of 60 mins = 20/100*60 = 12 mins.
80% of 60 mins =80/100*60 = 48mins.
which pair of statements about the lengths of the two sides of the triangle is true?
Answer:
D
Step-by-step explanation:
I Looked at te graph and counted each space
Answer:
Step-by-step explanation:
The Anwser is B
If z = -7, what is the value of (-8z) - z?
Answer:
63
Step-by-step explanation:
you will plug in -7 for both z's
(-8(-7) - (-7)
following PEMDAS you will do multiplication first
(-8(-7) = 56
now we have 56 - (-7)
since - and - make a positive it will be
56 + 7 = 63
2x-2y =22
4x+2y=38
How to solve using systems elimination
Answer: x=10; y=-1
Step-by-step explanation:
To solve this via elimination:
get rid of the y's like this:
4x+2y=38 + 2x-2y=22
6x=60
x=10
20-2y=22
y=-1
A store is instructed by corporate to put the markup of 43% on all items. An item costing 7$ is displayed by the manager at selling price of 3$ . Notice that the selling price is wrong . Find the correct selling price . What is the managers error?
Answer:
Selling rice is $10.00
Step-by-step explanation:
The manager put what the markup of $3.00 was to be added onto what the item cost.
can somebody please explain this to me. it’s timed
Answer:
258 cm PLZ GIVE ME BRAINLIEST
Step-by-step explanation:
Since the chord is given as 80cm, we know from the definition of a chord that it is equidistant to both sides of the circle. Therefore, half the chord is 40. The extension of the center to the chord is perpendicular to the chord(definition of a chord). Therefore, if we connect the center of the circle to the edge of the chord, it's a right triangle. Also the center of the chord is the radius of the circle. Pytharogean theorem: 40^2 + 9^2=r^2 : 1681=r^2: r=41. The radius is 41. Curcumference of circle: pi*2*r : pi*2*41 : pi*82= 258 cm.
Write the number 6,800 in scientific notation.
Answer:
6.8*10^3
Step-by-step explanation:
Answer:
The answer is 6.8 × 103.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Cristian,Iris,and Morgan each get an equal share of 1/2 of a pizza. Which model represents the fraction of the pizza each person gets?
Answer:
Step-by-step explanation:
1/6
1/2 ÷ 3
1/2 × 1/3
1/6
