Answer:
8 units
Step-by-step explanation:
here's your solution
=> let the length of rectangle be X
=> then width = x - 7
=> area = 8units
=>> area = length*width
=> area = x (x-7) = 8
=> x^2 - 7 = 8
=> now, x^2 - 7x - 8 = 0
=> factories the above equation by middle term split
=> x^2 - 7x - 8
=> x^2 - 8x + x - 8
=> take the common
=> x(x - 8) + 1(x - 8)
=> (x + 1) (x - 8)
neglect (x + 1) because this will in negative for X
=> x - 8 = 0
=> x = 8
=>so, x = 8
=>length = 8 units
HELP PLZZZZZZZZZZZZZ
Answer:
10 and 2
Step-by-step explanation:
f(x)=-(x^2-12x+20)
=-(x-10)(x-2)
f(10)=-(10-10)(10-2)
=-(0)(-8)
=0
f(2)=-(2-10)(2-2)
=-(-8)(0)
=0
Simplify lol (5) 9+ lo (5) 21-lo (5) 7
Given:
Consider the given expression is
[tex]\log_59+\log_521-\log_57[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\log_59+\log_521-\log_57[/tex]
It can be written as
[tex]=\log_5(9\times 21)-\log_57[/tex] [tex][\because \log_ax+\log_ay=log_a(xy)][/tex]
[tex]=\log_5\dfrac{9\times 21}{7}[/tex] [tex][\because \log_ax-\log_ay=log_a\dfrac{x}{y}][/tex]
[tex]=\log_5(9\times 3)[/tex]
[tex]=\log_527[/tex]
Therefore, the simplified form of the given expression is [tex]\log_527[/tex].
Samantha works part time at a store where she earns $462.30 each month. Write an expression that could be used to find the amount Samantha earns working any number of months, m.
Answer:
462.30m
Step-by-step explanation:
1 month = $462.30
You multiply by the number of months to find how much she made over that time so $462.30 * m = 462.30m
Answer:
Step-by-step explanation:
What is the image point of (7,0) after a translation right 2 units and up 1 unit?
Answer: (9,1)
Step-by-step explanation: This is because x (7) moves left and right, and y (0) moves up and down. the formula would be (x, y) --->(x+2, y+1)
These tables show equivalent ratios. The value missing in each table is replaced with X. Choose ALL tables in which 12 replaces X.
(please answer)
POINT:15
Answer:
a
Step-by-step explanation:
Answer:a and b
Step-by-step explanation:
Select the correct answer.
Which expression is equivalent to?
Step-by-step explanation:
[tex]4 {x}^{2} \sqrt{ {5x}^{4} } \times 3 \sqrt{5 {x}^{8} } [/tex]
[tex]4 {x}^{2} \times \sqrt{5} \times {x}^{2} \times 3 \sqrt{5} \times x ^{4} [/tex]
[tex]4 {x}^{2} \times {x}^{2} \times {x}^{4} \times \sqrt{5} \times 3 \sqrt{5} [/tex]
= 4x⁸ × 5 × 3
= 60x⁸
Factorise 12u-uv please help lol
Answer:
u(12-v)
Step-by-step explanation:
12u and -uv both have a factor of u in common, so we can pull it out to give us the factored expression u(12-v).
Note on factoring:
Remember, it's just using the distributive property in reverse! We can get our original expression back by distributing the u to the 12 and the -v.
11 times the sum of 8 and 14, divided by 5
Answer:
See below, please!
Step-by-step explanation:
[tex]\frac{11(8+14)}{5}[/tex]. Use PEMDAS. Sum of 8 and 14 is 22, multiply that by 11, and then divide by 5. Your answer is 48.4.
Hope this helped!
plz help find the area asap i really need help with the math problems
for the third picture Copy the problem, mark the givens in the diagram, and write a Statement/Reason proof. Given: CN = WN, ∠C ≅ ∠W Prove: RN ≅ ON
Answer:
uh the area is 45 for the first one because 15*9 is 135 and 15*6 is 90 because you get 6 from 15-9 to get the length for the triangle. Then 135-90 is 45.
Step-by-step explanation:
The area for the second shape is 114 because you will take 14 multiplied by 12 and you get 168, then you will take 6*9 which is 54 and subtract that from 168, and you should get 114.
The area for the third shape is i dont even know because it doesnt give numbers unless your trying to find it with the letters but at least you got the first two
Answer:
45
Step-by-step explanation:
The prism below is made of cubes which measure of a centimeter on one side. What is the volume?
Please answer this question and I will give you brainliest and 15 points
Answer:
45/8 cubic cm
Step-by-step explanation:
The volume of a prism can be determined using the formula below.
Volume = length × width × height
Since each cube measures of a centimeter on one side, then the dimensions of the prism are shown below.
Length = 5 x 1/2 cm
Width = 3 x 1/2 cm
Height = 3 x 1/2 cm
Answer:
5/3
Step-by-step explanation:
Alex scored 70% of 100 in a test What percentage does this represents
Answer: alex scored a 70 on his test
Step-by-step explanation: Alex scored a 70 on his test because
70%x100= 70
Answer:
70%
Step-by-step explanation:
70/100 is the same as 70%.
COULD SOMEONE HELP ME WITH THIS?
9514 1404 393
Answer:
obtuse, acute, right, acutescalene, isosceles, scalene, equilateralStep-by-step explanation:
Triangles are classified by their largest angle:
obtuse - more than 90°right - equal to 90°acute - less than 90°The classification by angles is ...
a) obtuse
b) acute
c) right
d) acute
__
The classification by sides is ...
scalene - no sides equalisosceles - two sides equalequilateral - all three sides equalThe classification of these triangles by sides is ...
a) scalene
b) isosceles
c) scalene
d) equilateral
solve 2x = 1/32
1/5
5
-5
Anna sold 1 tie for every 4 shirts. Which proportion would determine how many shirts she would need to sell along with 16 ties?
Answer:
64 shirts
Step-by-step explanation:
The ratio of ties to shirts is 1:4, so if the number of ties was 16, then you would have to multiply 16(number of ties) by 4(number of shirts), 16 x 4=64. therefore the awnser will be 64 shirts. Your welcome
Look at picture, please I need help on this question
Answer:
Step-by-step explanation:
look at graph for answers, vertex is at the point
The midpoints of the hexagon are connected to form another hexagon, this pattern continues indefinitely. If the area of the 99th hexagon formed by this pattern is 1, what is the area of the original hexagon?
Answer:
(4/3)⁹⁸ units²Step-by-step explanation:
Regular hexagons have a property that cutting off the triangles obtained by joining the midpoints of consecutive sides leaves a hexagon of 3/4 of the area.This means the area of each hexagon inside out starting from the one with unit area is 4/3 of the previous one.
99 ⇒ 198 ⇒ 1*4/397 ⇒ 1*(4/3)²...1 ⇒ (4/3)⁹⁹⁻¹The original hexagon has the area of:
(4/3)⁹⁸ units²Answer:
(4/3)^98units.
Step-by-step explanation:
By hexagonal property in which cut off the triangles obtained be the joining of m.p of adjacent sides which left 3/4 of total area.
A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 16% are pennies and 40% are dimes. There are 5 more nickels than pennies. How much money does the bag contain?
Answer:
$4.98
Step-by-step explanation:
50*16%=8 (pennies), 50*40%=20 (dimes)
8+5=13 (nickels), 50-(8+20+13)=9 (quarters)
So the money in total is 8*0.01+20*0.1+13*0.05+9*0.25=$4.98
ANSWER: $4.98
Steps for pennies:
1.) 50 * .16 = 8
8 pennies out of 50 coins
2.) 1 cent * 8 = 8 cents
Steps for dimes:
1.) 50 * .40 = 20
20 dimes out of 50 coins
2.) 10 cents * 20 = 200 cents = $2
Steps for nickels:
1.) 8 + 5 = 13
13 nickels out of 50 coins
2.) 5 cents * 13 = 65 cents
Steps for quarters:
1. 8 + 20 + 13 = 41
2. 50 - 41 = 9
3. 9 * .25 = $2.25
FINAL STEP:
8 cents + $2 + 65 cents + $2.25 = $4.98
ANSWER: the bag contained $4.98
*to change a percentage into a decimal move the decimal point 2 places to the left. Ex.) 50% > 50. > .50
50% = .50
10 points pls answer ASAP
Answer:
145
Step-by-step explanation:
Its the opposite angle of 145
A ramp rises 4 ft. and makes a 20 degree with the ground. How
long is the ramp?
Answer:
P = 1.36 feet
Step-by-step explanation:
Given that,
Height of ramp, H = 4 ft
The ramp makes an angle of 20 degree with the ground.
We need to find the length of the ramp.
The height of the ramp is the hypotenuse and the length of the ramp is perpendicular of the right angled triangle. Using trigonometry to find the length of the ramp i.e.
[tex]\sin\theta=\dfrac{P}{H}\\\\P=H\sin\theta\\\\P=4\times \sin(20)\\\\P=1.36\ ft[/tex]
So, the length of the ramp is equal to 1.36 feet.
What is an
equation of the line that passes through the points (-4,3) and
(-8,0)?
Answer:
y = 3/4x + 6
Step-by-step explanation:
(-4,3) and (-8,0)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(0 - 3) / (-8 - (-4))
Simplify the parentheses.
= (0 - 3) / (-8 + 4)
= (-3) / (-4)
Simplify the fraction.
= -3/-4
= 3/4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 3/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-8, 0). Plug in the x and y values into the x and y of the standard equation.
0 = 3/4(-8) + b
To find b, multiply the slope and the input of x(#)
0 = -6 + b
Now, add 6 to both sides to isolate b.
6 = b
Plug this into your standard equation.
y = 3/4x + 6
This is your equation.
Check this by plugging in the other point you have not checked yet (-4, 3).
y = 3/4x + 6
3 = 3/4(-4) + 6
3 = -3 + 6
3 = 3
Your equation is correct.
Hope this helps!
PLEASE HELP
What is the length of the altitude of the equilateral triangle below?
Find the slope and reduce.
P=(-8, 3) Q=(-6, 2)
Answer: -1/2
Step-by-step explanation:
Slope is change in y over change in x. Y shifts down -1, while X shifts to the right 2
0.0000643 in standard form?
ANSWER: 0.0000643 x 10^0
Can someone help me on problem 2
Please ?
Answer:
x=48
Step-by-step explanation:
48/4=12
please mark brainiest
thank you
Find the equation of the line through point (1,−5) and perpendicular to y=1/8x+2. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Answer:
[tex]y = -8x + 3[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines:
When two lines are perpendicular, the multiplication of their slopes is -1.
Perpendicular to y=1/8x+2
This line has slope [tex]\frac{1}{8}[/tex]
So, for the line we want to find the equation, we have that:
[tex]\frac{m}{8} = -1[/tex]
[tex]m = -8[/tex]
So
[tex]y = -8x + b[/tex]
Find the equation of the line through point (1,−5)
This means that when [tex]x = 1, y = -5[/tex]. We use this to find b. So:
[tex]y = -8x + b[/tex]
[tex]-5 = -8 + b[/tex]
[tex]b = 3[/tex]
The equation of the line is:
[tex]y = -8x + 3[/tex]
What fractions will make the comparison true? 5/8>
Answer:
7/10
Step-by-step explanation:
i7/10 is greater than 5/8
-3(2d)+ (-5e +6) + (3d-8) I'm standard form
Answer:
−3d−5e−2
Step-by-step explanation:
Sofia is 4 years younger than Mark. David is 7 years older than Mark. How old will Sofia be when David is 30 years old? please answer
Answer:
Sofia will be 19 years old
Step-by-step explanation:
First:
What know that David is 30 right now.
David=30
We also know that David is 7 years older than Mark, meaning that David-7=Mark
30-7=23 -Mark
And last we know that Mark is 4 years older than Sofia So we would do 23-4 to get Sofia age,
23-4=19 -Sofia
So in conclusion...
SOFIA: 19
MARK: 23
DAVID: 30
How many terms of the sequence -9, -6, -3, ... must be
taken so that the sum is 66?
Answer:
11th term
Step-by-step explanation:
use the table to predict the number of times you spin 5 when you spin the spinner 100 times
Answer:
14
Step-by-step explanation:
Add all values in "Times spun".
9 + 11 + 7 + 9 + 7 + 7
= 50
The spinner was spun a total of 50 times in the table.
We are looking for information if the spinner is spun 100 times, which is double of 50.
To predict information for spinning 100 times, double the data given in the table.
# of times "5" was spun for 50 spins (in table): 7
Double 7:
7 * 2 = 14
# of times "5" will likely be spun for 100 spins: 14
Or, solve using proportions:
The proportions are given in: (times "5" was spun)/(total spins)
[tex]\frac{7}{50} = \frac{?}{100}[/tex]
Since you double 50 to make 100, double 7 to solve for "?"
[tex]\frac{7}{50} = \frac{14}{100}[/tex]
∴ if you spin the spinner 100 times, you will spin "5" 14 times.
Answer:
14
Step-by-step explanation:
7 * 2 = 14