y = 2x - 6
y = - 4x + 3
The area of a rectangle is 14 square units. It has side lengths a and b. Given the following value for a, find b. a = 2 & 1/3
Given:
The area of a rectangle = 14 square units.
The side lengths are a and b.
[tex]a=2\dfrac{1}{3}[/tex]
To find:
The value of b.
Solution:
We know that, the area of a rectangle is:
[tex]Area=Length\times Width[/tex]
The area of the given rectangle is:
[tex]14=a\times b[/tex]
[tex]14=2\dfrac{1}{3}\times b[/tex]
[tex]14=\dfrac{2(3)+1}{3}b[/tex]
[tex]14=\dfrac{6+1}{3}b[/tex]
On further simplification, we get
[tex]14=\dfrac{7}{3}b[/tex]
[tex]14\times 3=7b[/tex]
[tex]42=7b[/tex]
Divide both sides by 7.
[tex]\dfrac{42}{7}=b[/tex]
[tex]6=b[/tex]
Therefore, the value of b is 6 units.
Please help me with this problem!?
Answer:
(-2.5,2)
Step-by-step explanation:
Be
1. (7.5A) Triangle ADE is similar to triangle ABG.
Which of the following statements must be true?
A. The measure of angle AGB is greater than the measure of angle ADE.
B. The measure of angle AGB is greater than the measure of angle AED.
C. Segment AE and Segment AB have the same length.
D. The ratio of AG to AE is the same as the ratio of AB to AD.
Answer:
D
Step-by-step explanation:
....iam not sure but i think its a because the other impossible
Answer:
The answer is D.
Step-by-step explanation:
For A- I don't think it's greater, I think they are the same.
For B- I don't think it's greater, I think they are the same.
For C- Segment AE is longer than Segment AB.
So D seems like the more logical answer.
10 cm 8 cm 14 cm 7 cm 6 cm 15 cm What is the total area of the figure ?
A 373cm2
B 338cm2
C 303cm2
D 268cm2
Answer:
please include an image for the question
please help me with this i’ll give you 15 points
Answer:
yes he is right
Step-by-step explanation:
Answer:
Yes he is!
Step-by-step explanation:
If you need the probability of both answers, convert 4/10 ( or 0.4 ) to 40/100 and 0.25 stays 25/100 and if you add 25 + 40 you get 65 so 0.65 or 65/100 is the probability both boys will score!
Hope this Helps! :D
Name the property illustrated.
(4 + 6) + 9 = 4 + (6 + 9)
hello help please i’ll mark brainliest!!!
Answer:
365 Days
Step-by-step explanation:
The moon is at the same speed of the Earth
Answer:
It takes about one month for the Moon to orbit Earth (27.3 days to complete a revolution, but 29.5 days to change from New Moon to New Moon).
barbra has two cherry pies.She cuts each pie into quarters.How many slices of cherry pie does barbra have
Ok so you have 2 pies.
You can cut into quarters which is 4 slices in 1 pie.
Than you can do 4 slices x 2 pies which means you have 8
A restaurant is making table cloths for their four round tables. Each table is a circle with a radius of 2 ft. Each table cloth needs to be 20% larger than the table surface.
How many whole table cloths can the restaurant get out of a piece of fabric with an area of 64 ft²?
Please help!!
Answer:
4
Step-by-step explanation:
Since it gives us the amount of area of material to use we know we want to find how many times we can divide it into tablecloths. So now we need to find how much each tablecloth is.
so first it tells us that each table has a radius of 2 ft, so we find the area using that. area of a circle is [tex]\pi r^2[/tex] so plugging in 2 ft we get 4π square feet or 12.56.
It also says that each tablecloth needs to be 20% bigger, so we find what 20% larger than 4π is. to do this you do 4pi*1.2 = 4.8π = 15.072 square feet.
Now, how many tablecloths with areas of 15.072 square feet can be made from 64 square feet. Hopefully it's obvious you divide. so 64/15.072 = 4.25
Since we want whole tablecloths and that .25 is a remainder, 4 whole tablecloths can be made.
Which of the following are solutions to the inequality below? TELL ME ALL THE ONES THAT ARE RIGHT.
Answer:
f = 100 and f = 65
Step-by-step explanation:
[tex]\frac{5}{5} \geq 9 = 1 \geq 9[/tex]
[tex]\frac{100}{5} \geq 9 = 20 \geq 9[/tex] ←
[tex]\frac{20}{5} \geq 9 = 4 \geq 9[/tex]
[tex]\frac{65}{5} \geq 9 = 13 \geq 9[/tex] ←
I hope this helps! May I please have brainliest? :)
A rectangular prism has a base that is
congruent to the base of a rectangular
pyramid. The heights, h, of the two figures
are also congruent. If the volume of the
pyramid is 100 inches, which expression can
be used to find the volume of the prism?
What is the length of the hypotenuse?
Answer:
The answer is c = 17 feet
Step-by-step explanation:
The formula to find the hypotenuse is a^2 + b^2 = c^2 (a squared plus b squared equals c squared).
a = 8 feet
b = 15 feet
a^2 = 8 * 8 = 64
b^2 = 15 * 15 = 225
The next step is to add: 64 + 225 = 289
But we need to remember to square root 289 because we squared a and b.
The square root of 289 equals 17
c = 17 feet
Find the area of the figure. (Sides meet at right angles.)
Answer: 37ft^2
Step-by-step explanation:
Create two separate figures. A full square 3x3 and a rectangle 7x4.
The 7ft line on the right minus 3 ft (because we are cutting out that section of the figure) = 4ft
Area of 3x3 square = 3^2 = 9ft^2
Area of 7x4 rectangle = 7x4 = 28ft^2
28+9= 37ft^2
Write an equivalent expression to 3+2(5x)-7
Answer:
-2(2-5x)
Step-by-step explanation:
3+2×(5x)-7
Calculate the difference
-4+2×(5x)
Factor out -2 from the expression
-2(2-5x)
Thats the answer: -2(2-5x)
Hope this helps
Determine whether the set of data shown below display exponential behavior. Write yes or no explain why or why not?
Answer:
I don't know what is your name is your
please help!! I suck at this :(
Answer:
41/50
Step-by-step explanation:
82% = 0.82 = 82/100
82/100 reduced is 41/50
Rewrite the following using distributive property
1. 24+20
2. 12+16
3. 36+81
4. 49+84
5. 99+36
Thanks❤
Answer:
12+16
24+20
36+81
49+84
99+36
Geometry please help-
Find PQ
Answer:
PQ = 29
Step-by-step explanation:
Lengths of the two tangents from a external point to the circle is equal
14x - 13 = 8x + 5 {add 13 to both sides}
14x = 8x + 5 + 13
14x = 8x + 18
14x - 8x = 18
6x = 18
x = 18/6
x = 3
PQ = 14*3 - 13
= 42 - 13
= 29
Answer:
PQ = 29
Step-by-step explanation:
As we know that,
[tex]\star[/tex] Lengths of two tangents from a external point to the circle is equal.
[tex]\dashrightarrow\bf{14x - 13 = 8x + 5 \: .... \: (Adding \: 13 \: to \: both \: the \: sides)} \\ \\ \dashrightarrow\bf{14x = 8x + 5 + 13} \\ \\ \dashrightarrow\bf{14x = 8x + 18} \\ \\ \dashrightarrow\bf{14 - 8x = 18} \\ \\ \dashrightarrow\bf{6x = 18} \\ \\ \dashrightarrow\bf{\frac{\cancel{18}}{\cancel{6}}} \\ \\ \dashrightarrow\boxed{ \bf \red{x = 3}} \: \bigstar[/tex]We've been asked to find out PQ;
[tex]:\implies\tt{PQ = 14x - 13} \\ \\ :\implies\tt{PQ = 14 \times (3) - 13} \\ \\ :\implies\tt{PQ = 42 - 13} \\ \\ \implies\boxed{ \tt\blue{PQ = 29}} \: \bigstar[/tex]Thus,
The length of PQ is 29.The width if a rectangle is 4ft and the length is unkown. If the area is the expression 12x + 24 what is the unkown length?
Answer:
Length=6 ft
Step-by-step explanation:
Solve for C.
5x – 4> 12
OR 12.c +5<-4
Answer:
x>16/5 or c<-1/12
Answer: x≥
x≥16/5 or x≤-3/4
Step-by-step explanation: I think this is the answer but i´m not completely sure of it.
URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!
Answer:
72 Sq m
Step-by-step explanation:
Area of trapezoid
[tex] = \frac{1}{2} (16.5 + 7.5) 6 \\ \\ = 24 \times 3 \\ \\ = 72 \: {m}^{2} [/tex]
Answer:
area of isosceles trapezoid = 72 m square
Kaja completed construction of her rases flowerbed project and is ready to begin fing with sol. The rased flower bed is in the stage of a rectanguliza prism and has dimensions as shown belon Each bag of sol cortans 15 cubic feet of soil. How many fudbags of so wil Kaja need to buy to fi her Sower bed?
A)16
B)21
C)27
D)32
Answer: She would need 32
Step-by-step explanation:
a
The expression ax²+bx+c is divisible by x-1, has a
remainder of 2 when divided by x+1 and has a remainder of 8 and when divided by x-2 find the values of a, b, and c and
factorise completely.
Answer:
(x - 1)(3x + 2)
Step-by-step explanation:
By the Remainder theorem
Given expression is divisible by x - 1 then f(1) = 0
when divided by (x + 1) then f(- 1) = 2
when divided by x - 2 then f(2) = 8
Substitute x = 1, x = - 1, x = 2 into the expression , that is
a + b + c = 0 → (1)
a - b + c = 2 → (2)
4a + 2b + c = 8 → (3)
Subtract (1) from (2) to eliminate a and c
- 2b = 2 ( divide both sides by - 2 )
b = - 1
Subtract (1) from (3) to eliminate c
3a + b = 8 ← substitute b = - 1
3a - 1 = 8 ( add 1 to both sides )
3a = 9 ( divide both sides by 3 )
a = 3
Substitute a = 3, b = - 1 into (1) and evaluate for c
3 - 1 + c = 0
2 + c = 0 ( subtract 2 from both sides )
c = - 2
Then a = 3, b = - 1, c = - 2
Thus
ax² + bx + c
= 3x² - x - 2
= (x - 1)(3x + 2) ← in factored form
between which two consecutive integers
[tex] \sqrt{72} [/tex]
lies
Answer:
8 and 9
Step-by-step explanation:
Find the 2 perfect square either side of 72 , that is
64 < 72 < 81 , then
[tex]\sqrt{64}[/tex] < [tex]\sqrt{72}[/tex] < [tex]\sqrt{81}[/tex]
8 < [tex]\sqrt{72}[/tex] < 9
f(x)=4x-3, g(x)=10-x
Work out gf(x)?
Step-by-step explanation:
Given
f(x) = 4x - 3
g(x) = 10 - x
So Now
gf(x) = g( 4x - 3)
= 10 - 4x + 3
= 13 - 4x
Hope it will help :)❤
i really need help with this!!! someone help please
Answer:
156 in squared
Step-by-step explanation:
So the formulas will be stated below
Parallelogram Area= 1/2h(b1+b2)
Square Area= Bh
So first do
(4)(12+6)
(4)(18)
No need to half it bc there's the same shape at the bottom
72+18+30+36
6(3)
3x5(2)
12(3)
What is the measure of < c in quadrilateral ABCD?
Answer:
the sum of interior angles of a quadrilateral = 360 degree
Step-by-step explanation:
therefore,
let the angle C be X
124 + 96 + 94 + X = 360
314 + X = 360°
X = 360 - 314 = 46°
angle C = 46°
Answer:
46 degrees
Step-by-step explanation:
What value of x will make the equation below true?
4.5x=18
ASAP PLEASE HELP I WILL GIVE BRAINEST!!!
What is x and y
Answer:
y = 9
x = 6
Step-by-step explanation: