Answer:
The answer is below
Step-by-step explanation:
A rectangle has an area of x² + 7x + 12. Use factoring to find possible dimensions of the rectangle. Explain why you can use factoring to find the answer.
Solution:
A rectangle is a quadrilateral (ha four sides and four angles) in which opposite sides are parallel and equal to each other. All the four angles in a rectangle are 90° each.
The area of a rectangle is given by:
Area = length * width
Hence the area is the product of two sides.
Given that:
Area = x² + 7x + 12
Factoring to find both the length and width of the rectangle:
Area = x² + 7x + 12
Area = x² + 4x + 3x + 12
Area = x(x + 4) + 3(x + 4)
Area = (x + 4)(x + 3)
After factoring we can see that the area is the product of (x + 4) and (x + 3). Hence x + 4 is the length and x + 3 is the width.
In a cookie mix, we find no-bake cookies, cinnamon cookies, and snickerdoodle cookies
in a ratio of 1 : 1 : 3. If a bag of the mix contains 48 snickerdoodle cookies, how many no-
bake cookies are there?
Answer:
There are 16 no-bake cookies.
Step-by-step explanation:
1 : 1 : 3
x : x : 48
x = 48 / 3
x = 16
Answer:
16
Step-by-step explanation:
48 divided by 3 is 16
i got the three from the ratio
make x the subject formula x-3=q
Answer:
x = q +3
Step-by-step explanation:
+ 3 on both sides
hope this helps
what is -5y+6x+2y+5x?
Answer:
11x - 3y
Step-by-step explanation:
6x + 5x + 2y - 5y
11x - 3y
Hope this helps
3x+2y=315
2x+4y=450
How long does it take to do a haircut?
Answer:
1.x
=
105
−
2
y
3
2.x
=
225
−
2
y
Step-by-step explanation:
ad them all up
Find the value of each of the following
Answer: C
Step-by-step explanation:
I need help with this if you can please send help my grade depends on it
Answer:
y= 77° x=103°
Step-by-step explanation:
x=103° Alternate angles are equal
y=77° angles on a straight line sum to 180° (180°-103°=77°)
Answer:
For x, we can justify that x=103° and for y, we can justify that it equals 77°.
Step-by-step explanation:
X°: VERTICAL ANGLE THEOREM, or if angles are opposite of each other and are formed by two intersecting straight lines, then they are congruent.
Thus, x°=103°
Y°: SUPPLEMENTARY ANGLE THEOREM, or if two angles are supplementary to the same angle, then the two angles are said to be congruent.
Thus, y°=77°
PLEASE GIVE GOOD RATING, A THANKS, and BRAINLIEST (Only need one more to level up!).
Someone please help me
Answer:
TAke this for stealing points all the time :)
Step-by-step explanation:
I rancher has a three sided plot of land that will be used for grazing sheet each side length is a multiple of 100 one side is 300 yards long and another side of 600 yards long what is the shortest possible length of the third side of the three sided land
Answer:
400 yards
Step-by-step explanation:
300+x>600
x>300, to be a multiple of 100, the third side must be 400 yards
A plane travels 2000 miles in 4 hours.What is the unit rate or miles per hour of the plane
Answer:
500
Step-by-step explanation:
2000/4=500
500*4=2000
Answer:
500 miles per hour
Step-by-step explanation:
4 multiplied by 500 is 2000
20. What is the value of x?
20
56°
Drawing not to scale
PLEASEE HELP WILL GIVE BRAINLEAST
Is Figure A’B’C’D’ a translation of Figure ABCD? Explain.
A.Yes; it is translated 2 units left and 2 units up.
B.Yes; it is translated 1 unit left and 3 units up.
C.Yes; it is translated 3 units left and 1 unit up.
DNo; the two figures are oriented differently.
Answer:
D-No, the two figures are oriented differently
Step-by-step explanation:
Answer:
I belive it is D if it is pearson savvas realize .
Hope it helps:)
Step-by-step explanation:
PLEASE HELP!!!!!!!
PLEASE HELP!!!!!!!
PLEASE HELP!!!!!!!
Answer:
she can buy 5 sour straws
Step-by-step explanation:
he two square roots of the number.
64
Answer:
The square route of 64 is 8.
8x8=64
Answer:
The square root of 64 is 8
Step by step explanation:
8 x 8 = 64
PLEASE HELP IN COMPLETE SENTENCES I WILL MARK BRAINLIEST
Answer:
8km / 9 hours
Step-by-step explanation:
see the point is on
x axis = 9 = 9 hours
y axis = 8 = 8 kilometers
so the average speed of bus is 8 km in 9 hours
Answer:
mark as brainlest
Step-by-step explanation:
average speed = 9/10
=0.9kms-¹
Help please pls help help help
Answer:
A
Step-by-step explanation:
The solution we're looking at here is a set of all the points between two parallel lines. Let's see what we can find out about those lines from the inequality, and use that the pick the correct option.
We can start by splitting the inequality at the top into two seperate inequalities:
[tex]7\leq y-3x<11\\y-3x\geq7\\y-3x<11[/tex]
From here, we can put each inequality into slope-intercept form:
[tex]y\geq3x+7\\y<3x+11[/tex]
Our slope for both lines is positive, so we can immediately eliminate B and D. A and C both display lines with slopes of 3 and y-intercepts of 7 and 11; the only difference is in which line is dashed and which line is solid.
As a reminder, a dashed line means that the line itself is not included in the solution, a solid line means that it is. Dotted lines always pop up when you see the symbols < and >, while solid lines pop up when you see ≤ and ≥.
[tex]y\geq3x+7[/tex] (Solid)
[tex]y<3x+11[/tex] (Dashed)
This matches up very nicely with the graph in A, our solution.
Which of the following rational functions is graphed below?
Answer:
I think it is A
I need a explanation plz
A cylinder has a radius of 14 meters. Its volume is 11,693.36 cubic meters. What is the
height of the cylinder?
Use a ~ 3.14 and round your answer to the nearest hundredth.
Answer:
The height would be 18.99
A family has two cars. During one particular week, the first car consumed 15 gallons of gas. The two cars Drove a combined total of 1475 miles and the sum of their fuel efficiency was 65 miles per gallon. What were the fuel efficiency of each of the cars that week?
Answer:
Car 1 : 40 miles per gallon
Car 2: 25 miles per gallon
Step-by-step explanation:
family has two cars. During one particular week, the first car consumed 15 gallons of gas. The second car consumed 25 gallons of gas. The two cars Drove a combined total of 1475 miles and the sum of their fuel efficiency was 65 miles per gallon. What were the fuel efficiency of each of the cars that week
Given that :
Fuel efficiency , car 1 = x
Fuel efficiency , car 2 = y
x + y = 65 - - (1)
15x + 35y = 1475 - - - (2)
x = 65 - y
15(65-y) + 35y
975 - 15y + 35y = 1475
20y = 14875 - 975
20y = 500
y = 25
Put y = 25 in (1)
x + y = 65
x + 25 = 65
x = 65 - 25
x = 40
A recipe for lemonade calls for 1 cup of sugar and 6 cups of water. How much sugar is used per cup of water?
I need help with my rsm hwrk pls help me
Answer: [tex]A= 32(\pi-2)\ cm^2, \ \ \ P=8\pi\ cm[/tex]
Step-by-step explanation:
When we consider Area under arc AC is is representing a quarter as ADBC is a square, [tex]\angle D=90^{\circ}[/tex].
Area of quadrant = [tex]\dfrac{\pi r^2}{4}[/tex]
here r= 8 cm
Area under Arc AC= [tex]\dfrac{\pi (8)^2}{4}=16\pi\ cm^2[/tex]
Area of white region ABC = Area of square ADBC - Area under Arc AC
[tex]=8^2-16\pi\ \ [\text{Area of square} = sides^2]\\\\= 64-16\pi\ \ =16(4-\pi)\ cm^2[/tex]
Similarly , Area of white region ADC = [tex]16(4-\pi)\ cm^2[/tex]
Area of shaded region = Area of square - Area of white region ABC - Area of white region ADC
[tex]=64-(64-16\pi)-(64-16\pi)\\\\= 32\pi-64\ cm^2 \\\\= 32(\pi-2)\ cm^2[/tex]
Area of shaded region =[tex]= 32(\pi-2)\ cm^2[/tex]
Length of arc AC = [tex]\dfrac{Circumference}{4}=\dfrac{2\pi r}{4}[/tex]
[tex]\dfrac{\pi (8)}{2}=4\pi cm[/tex]
Perimeter of shaded region = 2(AC) = [tex]8\pi\ cm[/tex]
The hull speed of a boat in knots per hour is determined by the length of the waterline. The waterline is the length of the boat that is actually in the water. This relationship can be modeled by the function h=1.34l where h is speed of the boat and L is the length of the waterline in feet. What is the length of the waterline if the hull speed is 4 knots
Answer:
The length of the waterline when hull speed is 4 knots per hour in feet is 2.985 feet.
Step-by-step explanation:
Let the function [tex]h = 1.34\cdot l[/tex], where [tex]l[/tex] is the length of the waterline, measured in feet and [tex]h[/tex] is the hull speed of the boat, measured in knots per hour. If we know that [tex]h = 4\,\frac{kt}{h}[/tex], then the length of the waterline is:
[tex]l = \frac{h}{1.34}[/tex]
[tex]l = \frac{4}{1.34}[/tex]
[tex]l = 2.985\, ft[/tex]
The length of the waterline when hull speed is 4 knots per hour in feet is 2.985 feet.
Please can someone help me !
Answer:
A
Step-by-step explanation:
pretty sure 99 percent sure
Answer:
It is the last one because they share similar sides based on how the triangle was created
Of the 150 students in 6th grade, 10% earned straight As last quarter. How many students earned straight As?
Answer: 15 students
Step-by-step explanation:
From the question, we are informed that there are 150 students in 6th grade, and that 10% earned straight As last quarter.
The number of students that earned straight As will be:
= 10% × 150
= 10/100 × 150
= 0.1 × 150
= 15 students
Combine like terms y+6-2-4y3-5y+2y3-2y3
Answer: -3y+12
Step-by-step explanation:
find the area of the shaded regions. give your answer as a completely simplified exact value in terms of π (no approximations)
Answer:
36π
Step-by-step explanation:
2π9² × 80/360 = area of sector
2π9² × 2/9 = 162π × 2/9 = 18π × 2 = 36π
36π is the area
Mr. Dorsey is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 3 meters high. The base of the ladder is 4 meters away from the house, where Mr. Dorsey's son is holding it steady. How long is the ladder?
Answer:
5
Step-by-step explanation:
PLS HELP WHAT IS THE MISSING ANGLE ?!
Answer:
Its B !!!
Step-by-step explanation:
Have a great day
Nina purchased a meal for $24. She left a 20% tip. How much was the tip?
Answer:
She left a $4.80 tip.
Answer:
Tip $4.80
Total $28.80
Step-by-step explanation:
20% = 0.2
24 x 0.2 = 4.8
24 + 4.8 = 28.8
Which number line could help you find the distance between (7,4) and (3, 4)?
Answer: 4
Step-by-step explanation:
Answer:
Pick the number line with points at 3 and 7 :)
Step-by-step explanation:
