Answer:0 = 3x - 21
Step-by-step explanation:
From this given function we can take an
x
common from its expression
i.e
x
2
−
6
x
=
x
(
x
−
6
)
As we know that the product of two numbers is zero,when either one of them is zero
then in the above expression that we just factorised
the function can be zero when either
x
=
0
or when
x
=
6
i.e when
x
=
0
,
0
(
0
−
6
)
=
0
when
x
=
6
,
6
(
6
−
6
)
=
6
(
0
)
Finally, our prize of all that math, the zeroes of the function are
0
and
6
these numbers are called the zeroes of the function because when you put these values in
x
the function gives zero.
A cuboid has 3 different sized faces. The areas of 2 of the faces are 84cm2and 56cm2. The volume of the cuboid is 672cm3. Find the length, width and height of the cuboid and the area of the third face.
Answer:
Length: 12 cm
Width: 8 cm
Height; 7 cm
Step-by-step explanation:
We are told that the areas of 2 of the faces are 84cm² and 56cm².
Now, the side faces are 4 in total with 2 each having same areas.
Thus, it means they would have the same height.
Let's find the highest common factor between 84cm² and 56cm².
The highest number that can be divide each equally is 7.
Thus;
12 × 7 = 84 cm²
8 × 7 = 56 cm²
This means, the bottom part will measure 12 cm by 8 cm.
Thus, the complete measurement is;
Length: 12 cm
Width: 8 cm
Height; 7 cm
Let's check if it will give us a Volume equal to that given.
Thus;
Volume = 12 × 8 × 7 = 672 cm²
This is same as that given and so our dimensions are correct.
I need help with this I don’t understand.
Answer:
the added degree of m1 and m2 equal m4
39.98× 0.5 is approximately equal to
Answer:
20
Step-by-step explanation:
it equals 19.99 but if you round it equals to 20
Royston is driving to a popular amusement park with his family.
Royston’s car had gallons of gas at the start of the trip. During the trip, he stopped at a gas station and refueled the car with gallons. If the car consumed gallons of gas during the trip, there are still
gallons of gas remaining in the tank.
Answer:
yes
Step-by-step explanation:
b/c he only filled his car only one time so he might have remained gallons of gas
Which of the following functions is graphed below
Answer:
wachiwachiwachiwawawa
PLS HELP In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠P ≅ ___
A. ∠S
B. ∠PRQ
C. ∠T
D. ∠PQR
I will give BRAINLIEST the correct answer
Find the measure of angle 6.
Answer:
X = 19
Step-by-step explanation:
Two parallel lines cut by a transversal means the corresponding angles are congruent. Set each equation equal to each other and solve for x.
2x+78= 7x-17
Add 17 to both sides: 2x + 95= 7x
Then subtract 2x from both sides: 95= 5x
divide each side by 5, for final answer: x= 19
( 4 x 5 )^2- 6 + 3 =
Answer:
397
Step-by-step explanation:
Have a nice day
Jamie deposits 400 into a savings account. The account has an interest rate of 5%, compounded quarterly. Right to function that gives you The amount of money in dollars, J(t) in t years after the initial deposit
Given:
Initial value = 400
Interest rate = 5% compounded quarterly.
To find:
The function that gives you the amount of money in dollars, J(t) in t years after the initial deposit.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimals, n is the number of times interest compounded in an year and t is the number of years.
The interest rate is 5% compounded quarterly. So, r=0.05 and n=4.
Substituting [tex]P=400,\ r=0.05,\ n=4[/tex] in the above formula, we get
[tex]A=400\left(1+\dfrac{0.05}{4}\right)^{4t}[/tex]
[tex]A=400\left(1+0.0125\right)^{4t}[/tex]
[tex]A=400\left(1.0125\right)^{4t}[/tex]
The required function notation is:
[tex]J(t)=400\left(1.0125\right)^{4t}[/tex]
Therefore, the amount of money in dollars, J(t) in t years after the initial deposit is [tex]J(t)=400\left(1.0125\right)^{4t}[/tex].
geometry geometry geometry geometry geometry geometry help me pleasee
Answer:
Step-by-step explanation:
take 74 degree as reference angle
using cos rule
cos 74 =adjacent/hypotenuse
0.275=x/12
12*0.275=x
3.3=x
take 36 degree as reference angle
using sin rule
sin 36=opposite/hypotenuse
0.587=x/11
0.587*11=x
6.457=x
6.5=x
take 39 degree as reference angle
using tan rule
tan 39=opposite/adjacent
0.809=13/x
x=13/0.809
x=16.06
x=16.1
take 16 degree as reference angle
using tan rule
tan 16=opposite /adjacent
0.286=x/14
0.286*14=x
4.00=x
4.0=x
x=
What is the volume of the plastic rocket???
Answer:
151 in^3
Step-by-step explanation:
The rocket consists of two shapes - a cone and a cylinder
the volume of the plastic = volume of cone + volume of cylinder
volume of a cylinder = nr^2h
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius
the diameter is the straight line that passes through the center of a circle and touches the two edges of the circle.
A radius is half of the diameter
Radius = 5/2 = 2.5
Height of cone = 11 - 6 = 5
Volume of plastic = (22/7) x (2/5^2) x 6 + (1/3) x (22/7) x (2/5^2) x 5 = 117.9 + 32.7 = 150.6 in^3 = 151
consider the figure below
given
m || n
m∠2=3x+53
m∠7=7x-55
what is m∠8?
Answer:
m<8 = 46°
Step-by-step explanation:
m<2 = m7 (alternate exterior angles are congruent)
Substitute
3x + 53 = 7x - 55
Collect like terms
3x - 7x = -53 - 55
-4x = -108
Divide both sides by -4
-4x/-4 = -108/-4
x = 27
m<8 + m<7 = 180° (linear pair angles)
Substitute
m<8 + 7x - 55 = 180°
Plug in the value of x
m<8 + 7(27) - 55 = 180
m<8 + 189 - 55 = 180
m<8 + 134 = 180
Subtract 134 from each side
m<8 = 180 - 134
m<8 = 46°
Can I get help with these too? Thank you!!!!!
Ken buys two bunches of bananas. One bunch weighs 2 pounds 10 ounces. The other bunch weighs 1 pound 8 ounces. What is the total weight of Ken's bananas?
Answer:
4 pounds 2 oz
Step-by-step explanation:
16 oz = 1 pound so you add 10 and 8 to get 18-16 to get 4 pounds 2 oz
Which are vertical angles?
Answer:
The verticle angles are AB and ED
Step-by-step explanation:
x-2+5y*7*6x+89y-6+345
Answer:
337+x+89y+210xy
Step-by-step explanation:
x-2+(5y*7*6x)+89y-6+345
x-2+(210xy)+89y-6+345
x-2+210xy+89y-6+345
-2-6+345+x+89y+210xy
337+x+89y+210xy
find the measure of angle 3
Answer:
angle 3 is 87 degree
Step-by-step explanation:
-7x+191=-5x+163(they are alternte interior angle)
-7x+5x=163-191
-2x=-28
x=-28/-2
x=14
substitute the value of x in -5x+163
-5*14+163
-70+163
93
Now,
angle 3 + (-5x+163) = 180 degree (they are cointerior angles)
angle 3 + 93 = 180
angle 3 = 180-93
angle 3 = 87 degree
Mary Lou is twice George’s age and Kate is one year younger than George. The sum total of their ages is 27. How old is each person?
Answer:
Mary Lou is 14
George is 7
Kate is 6
Step-by-step explanation:
let G = George's age
let 2G = Mary Lou's age
let G-1 = Kate's age
G + 2G + G-1 = 27
4G = 28
G = 7
2G = 14
G-1 = 6
first step for solving this quadratic equation?
x2+2x-11=4
Answer:
subtract 4 from both sides
Step-by-step explanation:
Given
x² + 2x - 11 = 4
First step : subtract 4 from both sides
x² + 2x - 15 = 0 ← in standard form
Second step : factorise the quadratic
(x + 5)(x - 3) = 0 ← in factored form
Third step : equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 3 = 0 ⇒ x = 3
Fourth step : state the solutions
solutions are x = - 5, x = 3
During which interval is the graph of the
function below only increasing?
HELLPPPPP!!!!!
Answer:
-2 < x < ఔ
Step-by-step explanation:
F’x = 3x^2 + 18x + 24
F’x = 3(x^2 +6x +8)
F’x = 3(x+4)(x+2)
One of the points of inflection will be at x = -2, and after -2 we know the equation will increase because it is positive
Insta: lankey.t
HURRY HELP.. whats the indicated measure
Answer:
< ABE = 109
Step-by-step explanation:
Angle Formed by Two Chords = 1/2(SUM of Intercepted Arcs)
< ABE = 1/2 ( 38+ 180)
< ABE = 1/2( 218)
< ABE = 109
can you solve this? explian your reasoning. 2 6 3 9 6 18 15. What number comes next?
Answer:
The number of the sequence are 2, 3, 6, 15
The difference between 2 and 3 is 1 i.e. 30.
The difference between 3 and 6 is 3 i.e. 31.
The difference between 6 and 15 is 9 i.e. 32.
Let the next number in the given sequence be some natural number x.
Now, following the pattern, the difference between 15 and x has to be equal to 33=27.
i.e.
x−15=27⟹x=27+15=42
Hence
The next number in the sequence is 42.
Which of the following is an equation of the line that passes through the point (-2,3) and is perpendicular to the graph of the equation y = 3x - 2?
Answer:
y = -1/3x + 7/3
Step-by-step explanation:
A line that is perpendicular to another line has the opposite reciprocal slope. That means we flip the slope of the original line and place a negative in front. Since the original slope is 3, the slope perpendicular is -1/3.
Now that we know the slope, and because they gave us a point on that line, we can create a line. Plug in the points and the slope into y = mx + b, to solve for b, the y-intercept.
3 = -1/3 (-2) + b
9/3 = 2/3 + b
7/3 = b
Now we can create a line in slope intercept form: y = -1/3x + 7/3
Here is Standard Form if needed: x + 3y = 7
Find the distance between the two points, and explain if you want to.
Step-by-step explanation:
the answer is in the above image
SOMEONE PLSSSS HELP!!!!!!!
Answer:
you can use desmos
Step-by-step explanation:
for example put x=88
and do the same with the rest
then put x+y+z and you will get your answer
-. If the expression (x-7) was placed in ax? +bx+c form, which of the following would be
the value of b?
(1) -7
(3) -14
(2) 7
(4) -49
PLEASE HELP
Answer:
1 :)
Step-by-step explanation:
Hey, Could you help me? Thank you
HELPPPPPPPPPPPPPPPPPPPPP
Answer:
29
Step-by-step explanation:
Hope this helps
Have a great day
Two neon lights are turned on at the same time. One blinks every 4 seconds and the other blinks every 5 seconds. In 60 seconds, how many times will they blink at the same time?
3
Hope this helps! :)
______________
3. What is the area of the triangle with vertices L(-3,5), M(4,7), and
N(2,-8)?
