I need help with this problem
[tex]\\ \sf\longmapsto Area=LB[/tex]
[tex]\\ \sf\longmapsto Area=(x+4)(x-9)[/tex]
[tex]\\ \sf\longmapsto Area=x(x-9)+4(x-9)[/tex]
[tex]\\ \sf\longmapsto Area=x^2-9x+4x-36[/tex]
[tex]\\ \sf\longmapsto Area=x^2-5x-36[/tex]
Step-by-step explanation:
Solution,
Given:-
Length=x+4
Width=x-9
Now,
By applying the formula for area of rectangle, we get
Area=length×width
Area=(x+4)(x-9)
Area=x(x-9)+4(x-9)
Area=x²-9x+4x-36
Area=x²-5x-36
How to identify pairs of angles
Answer:
When a pair of parallel lines is cut with another line, known as an intersecting transversal, it creates pairs of angles with special properties.
Step-by-step explanation:
CORRESPONDING ANGLES are equal
<1 and <5 <2 and <6 <4 and <8 <3 and <7
ALTERNATE INTERIOR ANGLES are equal
<3 and <5 <2 and <8
ALTERNATE EXTERIOR ANGLES are equal
<1 and <7 <4 and <6
VERTICALLY OPPOSITE ANGLES are equal
<5 and <7 <6 and <8 <1 and <3 <2 and <4
COINTERIOR ANGLES are supplementary, meaning adding their measurements together will give you 180°
<2 and <5 <3 and <8
5.346 - 2.289= 3.057
SHOW WORK!!!!
WILL GIVE BRAINLIEST PLEASE
Gina ran two laps around the track in 99 seconds. How long did it take her to run each lap if she ran the first one 8.5 meters per second and the second lap at meters per second
rewrite the quadratic function into vertex form by completing the square y=-2x^2-3x-5
PLEASE HELP ME!!!! WILL REWARD BRAINLIEST!!!!!
Answer:
-4 and -2.
Step-by-step explanation:
First of all,... OH MAN,... that is serious brain twisting logic (if you can call it logic) and to be fair I had to ask a math expert person I'm acquainted with,... cause I didn't know either,... so nothing to be ashamed about,...
If we let 2x equal the lesser of the two consecutive EVEN integers, and we let y equal 2x+2 be the greater of the two consecutive EVEN integers,
(For example, this is like x = 1, so 2x=2, y=4 or x=7, so 2x=14 and y=16, we add 2 to the lesser even integer to get the next CONSECUTIVE even integer.)
This, y=2x+2, is one of the equations we need. To get the other,
"Four times the lesser (4*2x) is (=) 12 less (-12) than twice the greater (2y)."
Doing it all in math, we get:
4(2x) = 2y - 12
This simplifies to:
8x = 2y - 12
And using the first equation (y=2x+2) we can substitute "2x+2" in for "y"
8x = 2(2x + 2) - 12
Simplify the right side by first distributing:
8x = 4x + 4 - 12
Combine like terms on the right.
8x = 4x - 8
Subtract 4x from both sides
4x = -8
Divide both sides by 4
x= -2
Remember, our lesser even integer is 2x, so the lesser integer is 2*(-2)= -4, the greater is (-4)+2= -2.
Final answer: The two consecutive even integers are -4 and -2.
To be even more fair I don't fully understand this completely either,... he explained it to me and I and getting it,... so anyway,... Hope it helps, and
Chow,...!
The masses of two similar objects are 24kg and 81 kg respectfully. If the surface area of the larger one is 540cm2, find the surface area of the smaller one.
Answer:
Step-by-step explanation:
hope that image helps
Need some help? Image should convey the rest.
Answer:
30+(4x-4)=180-90(angle sum of triangle)
30+4x-4=90
4x+30-4=90
4x+26=90
4x=90-26
=54
x=54÷4
=13.5
a squared + b - c squared
Answer:
a²+(b-c)²
hope it helps
Adding which terms to 3x2y would result in monomial
Answer:
Monomial is the expression that has maximum variable power 1.
so you can add any number or variable in the expression to make it monomial but the over power of variable must be 1.
Step-by-step explanation:
example; 3x2y + 1
A box contains $8.15 in nickles, dimes, and
quarters. There are 47 coins in all, and the sum
of the number of nickles and dimes is 3 less than
the number of quarters. Define your variables
and then create the three system of equations to
represent this situation.
Answer:
45 nickels
30 quarters
60 dimes
15 pennies
Step-by-step explanation:
Quarters:
45÷3=15
15×2=30
Dimes:
30×2=60
Pennies:
60-45=15
Answer:
Step-by-step explanation:
Hello,
So you are gonna have 32 quarters.
One dime and one nickle.
From the graph of the function, determine the domain and the range.
Domain: [0, 4] Range: [0, 4]
Domain: (-4, 4) Range: (0,4)
Domain: (-4, 4] Range: [0, 4]
Domain: [0, 4] Range: (-4, 4]
Answer:
Domain: (-4, 4) Range: (0,4)
Step-by-step explanation:
Domain is the furthest left and right points on the x-axis while the range is the same but instead of it being the x-axis, it would be the y-axis. The graph shows -4 to 4 being the domain and 0 to 4 being the range.
Write
3
_
6
in lowest terms.
Answer:
1/2
Step-by-step explanation:
3 is half of 6 so the smallest term would be 1/2.
4x + 2 + 3x = 5 + 2x + 8
What does x equal?
Answer:
x = 11/5
Step-by-step explanation:
4x + 2 + 3x = 5 + 2x + 8
Combine like terms
7x+2 = 2x+13
Subtract 2x from each side
7x+2-2x = 2x+13-2x
5x+2 = 13
Subtract 2 from each side
5x+2-2 = 13-2
5x = 11
Divide each side by 5
5x/5 = 11/5
x = 11/5
Answer:
2.2
Step-by-step explanation:
4x+2+3x=5+2x+8
combine like terms
7x+2=2x+13
Subtract 2x from each side
5x+2=13
subtract 2 from each side
5x=11
Divide each by five
x=2.2
Eliana travels at an average speed of 50 mph for 60 miles.
Without stopping, Eliana then travels 130 miles in 2.5 hours.
Find her average speed for the entire journey to 2 dp
Answer:
51.35 mph to the nearest hundredth.
Step-by-step explanation:
The time she takes to travel 60 miles = distance / average speed
= 60/50 = 1.2 hours.
Total time taken = 1.2 + 2.5
= 3.7 hours.
Total distance travelled = 60 + 130
= 190 miles.
Therefore average speed for the whole journey
= 190 / 3.7
= 51.35135 mph.
Perform the indicated operations. Write the answer in standard form, a+bi.
(5 + 6i)(5 - 6i)
Answer:
61
Step-by-step explanation:
(5 + 6i)(5 - 6i)
FOIL
first: 5*5 =25
outer: 5 *-6i = -30i
inner: 6i *5 = 30i
last: 6i * -6i = -36 i^2 =-36 (-1) = 36
Add together
25 -30i+30i+36
61
[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]
[tex] \sf \: ( 5 + 6 i ) ( 5 - 6 i )[/tex]
Multiply complex numbers 5+6i and 5-6i in the same way as you multiply binomials.
[tex] \dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)i^{2} [/tex]
By definition, i² is -1.
[tex] \dashrightarrow \sf 5\times 5+5\times \left(-6i\right)+6i\times 5+6\left(-6\right)\left(-1\right) [/tex]
Do the multiplications.
[tex] \dashrightarrow \sf \: 25-30i+30i+36 [/tex]
Now cancel -30i & +30i
[tex]\dashrightarrow \sf \: 25 \: \bcancel{- 30i} \: + \: \bcancel{30i}+36 [/tex]
Now the equation becomes
[tex]\dashrightarrow \sf \: 25 \: + 36 \\ \dashrightarrow \boxed{\bf \: 61}[/tex]
________
Hope it helps.
ŕάίήвόώşάĻţ2²2²
Karen purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Karen paid.
Answer:
5n=c
Step-by-step explanation:
If 3x = y -5 and x = 4, then y =
Answer:
y = 17
Step-by-step explanation:
3x = y - 5, for x = 4
=> 3(4) = y - 5
=> 12 = y - 5
=> 12 + 5 = y
=> 17 = y
evaluate each expression 5(6+2)
Answer:
40
Step-by-step explanation:
First, do the equation in the parentheses
5(6+2)
5(8)
then multiply
5 * 8 = 40
Answer:
40
Step-by-step explanation:
5(6+2)
Parentheses first
5(8)
Multiply
40
find each sum, product, or quotient and write your answer as a fraction in simplest form. - 2/21 ÷ ( - 2/15 )
Answer:
5/7
Step-by-step explanation:
[tex] \dfrac{ - 2}{21} \div \dfrac{ - 2}{15} [/tex]
[tex] \dfrac{ - 2}{21} \times \dfrac{15}{ - 2} [/tex]
[tex] \dfrac{ - 30}{ - 42} [/tex]
[tex] \sf \: \dfrac{5}{7} [/tex]
help pls and thanks!!!
Answer:
y = -3x - 8
Step-by-step explanation:
[tex]y =\frac{1}{3}x+ 2[/tex]
Here slope m = (1/3)
Slope of the perpendicular line = [tex]\frac{-1}{m}[/tex] = -1 ÷ [tex]\frac{1}{3} = -1 *\frac{3}{1}= - 3[/tex]
Slope m1 = -3 and (-3 ,1)
Equation of line:
y -y1 = m(x -x1)
y - 1 = -3(x - [-3])
y - 1 = -3(x + 3)
y - 1 = (-3) *x + 3*(-3)
y - 1 = -3x - 9
y = -3x -9 +1
y = -3x - 8
Answer:
y = - 3x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 2 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute (- 3, 1 ) into the partial equation
1 = 9 + c ⇒ c = 1 - 9 = - 8
y = - 3x - 8 ← equation of perpendicular line
(-9.-2). (4.2)
Midpoint
Answer:
(-13/2 , 2)
Step-by-step explanation:
What time does the clock show? Right answer gets brainlist
Answer:
5:16 hope this will help you
have a great day
3/10 of the members of a tennis club are men. 5/6 of these men are right handed. work out the fraction of members of the tennis club who are right handed
Answer:
1/4 of the men are right handed.
Step-by-step explanation:
You know nothing about the women. You know only about the men, so the answer has to be expressed in terms of men.
3/10 * 5/6 = 15 / 60 = 1/4
If a number is a whole number, then it cannot be
O an irrational number
O an integer
O a rational number
O a natural number
Answer:
The answer is "am irrational number"
Estimate the sum of 672 and 830 by rounding to the nearest hundred before adding.
Answer:
you round off to the nearest hundred which is 672 and 830 which I find to to 672 and 830 becomes 1000
Answer:
700 800
Step-by-step explanation:
672 is closer to 700 and 830 is closer to 800 lil tip 5 or more let it soar four or less let it rest
E
AB || CD
BC II DE
B
D
2015 Glynyon, Inc.
Find the mZBAC, if ZDEC = 45° and mZEDC = 65°
O 50°
O 70°
O 60°
O 80°
Answer:
∠BAC=70°
Step-by-step explanation:
If AB || CD and BC II DE that means the two triangles are congruent or the same, this means ∠BAC°=∠DCE°, ∠ABC°=∠EDC°, and ∠BCA°=∠DEC°. The three angles of a triagle add up to 180°. If ∠DEC=45° and ∠EDC=65°
Total°-(∠DEZ°+∠EDC°)=∠DCE° or ∠ECD°
180°-(65°+45°)=70°
∠BAC°=∠DCE°
Therefore ∠BAC=70°
a) find the total surface area of the cone .
b) the cone is cut into two equal parts by the vertical plane V A B
Answer:
hey there your picture is not clear and also it is cropped so height is not visible
But for TSA you can do this by the formula of πr(l+r)
Rectangle A has side lengths measuring 4 inches and 9 inches. Rectangle B is similar to rectangle A but has side lengths three times longer
than rectangle A.
What is the area of rectangle B?
O A. 12 square inches
OB. 36 square inches
O c. 78 square inches
O D. 108 square inches
O E. 324 square inches
B is between A and C and AB = BC.
If AB = 4x and AC = 24, find x.
Answer:
x = 6
Step-by-step explanation:
Because AB = BC and AB = 4x , AC = 24
=> 4x = 24
x =6
Answer:
X=3
I hope this helps,
Not the neatest of handwriting though