Answer:
61
Step-by-step explanation:
b(a + b) + a
First, distribute b to a+b
ba + b^2 + a
Now, substitute values
9(4) + 4(4) + 9
36 + 16 + 9 = 61
-Chetan K
Write a two-column proof.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF
Proof:-
In ∆TOP and ∆ZAP
[tex]\because\sf\begin{cases}\sf <O\cong <A(Given)\\ \sf TO\cong AZ(Given)\\ \sf <TPO\cong <ZPA(Opposite angles)\end{cases}[/tex]
Hence
∆TOP[tex]\cong[/tex]∆ZPA(Side-Angle-Side)
Step-by-step explanation:
Statement Reason
∠O ≅ ∠A Given
TO ≅ AZ Given
∠OPT and ∠ZPA are vertical angles Vertical angles theorem
∠OPT ≅ ∠ZPA Definition of vertical angles
ΔTOP ≅ ΔZAP Angle - angle -side AAS postulate
HELP ME PLEASEEEE I NEED ITT !
Answer:
10
Explanation:
130 divided by 13 equals 10
10 times 13 equals 130
Vince made a scale drawing of the middle school. He used the scale 5 inches : 8 feet. If the gym is 45 inches wide in the drawing, how wide is the actual gym?
Scale drawings are used to show an actual image using lesser dimensions.
The width of the actual gym is 72 feet
The scale is given as:
[tex]Scale = 5\ inches : 8\ feet[/tex]
Represent the width of the actual gym with w, so, we have the following equivalent ratio
[tex]45\ inches : w = 5\ inches : 8\ feet[/tex]
Cancel out the common units
[tex]45: w = 5: 8\ feet[/tex]
Express as fraction
[tex]\frac{45}{w} = \frac{5}{8\ feet}[/tex]
Cross multiply
[tex]5w = 45 \times 8\ feet[/tex]
Divide both sides by 5
[tex]w = 9\times 8\ feet[/tex]
[tex]w = 72\ feet[/tex]
Hence, the width of the actual gym is 72 feet
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An oil tanker is leaking at a constant rate per minute. After 11 minutes, 931 gallons of oil remain in the tanker. After 18 minutes, 633 gallons of oil remain in the tanker. Write the function f(t) that describes this scenario.
The function f(t) that describes this scenario will be A = -42.57t + 1399.28
Let the amount of oil remaining after time t be ALet the time taken be "t"
This required linear expression will be given as A= mt + b
Writing the gallons of oil and the time taken as a coordinate point (A, t), these are given as (11, 931) and (18, 633)
m is the rate of change = 633-931/18-11
m = -298/7
m = -42.57
Get the intercept;
633 = -42.57(18) + b
633 = -766.29 + b
b = 1,399.28
Heence the function f(t) that describes this scenario will be A = -42.57t + 1399.28
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Activity
In this activity, you will use a table of coordinate points to determine whether a function is linear or nonlinear. Billy hit a baseball to the bottom of
the outfield wall. The table gives points in the function representing the helght of the baseball in terms of the horizontal distance traveled by the
ball. Help Billy find whether this function is linear or nonlinear.
03
150 78
300 3
The value of x represents the horizontal distance traveled by the baseball, and the value of y represents the height of the ball from the ground.
-Part A
To determine whether a function is linear or nonlinear, check whether the rate of change is constant for every pair of coordinates. What is the rate
change in y, for the first two pairs of coordinates?
of change, change in
Answer: The rate of change in the y coordinate is 75. 78 - 3= 75.
Answer:
Part a: Answer is 1/2
78 - 3/150 - 0 = 75/150
= 1/2
Part b: Answer is -1/2
3 - 78/300 - 150
= -75/150
= -1/2
Part c: No, the two rates aren’t the same, because one is positive and the other is negative.
Part d: The rate of change of the function determined by using the two pairs of coordinates is not the same. So, the function modeling the movement of the ball is a nonlinear function
Step-by-step explanation:
I NEED HELP PLEASE!!!!!!!!!!!!!!!
Answer:
$2580
Step-by-step explanation:
$1500 dollars increased by 9%. In 8 years how much money he will have.
Ok, he has 1500 bucks in there
percents are an amount out of 100 so 9%=9/100
which, 9/100 in decimal form is .09
1500*.09 which is 135
135 dollars every year added
in 8 years, he will have earned 1080 bucks due to interest
1500+1080 which is 2580 dollars
he will have 2580
Answer:
1,616.60
Step-by-step explanation:
we know that
The compound interest formula is equal to
A=P(1+\frac{r}{n})^{nt}A=P(1+
n
r
)
nt
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
\begin{gathered}t=5\ years\\ P=\$1,500\\ r=1.5\%=1.5/100=0.015\\n=4\end{gathered}
t=5 years
P=$1,500
r=1.5%=1.5/100=0.015
n=4
substitute in the formula above
A=1,500(1+\frac{0.015}{4})^{4*5}A=1,500(1+
4
0.015
)
4∗5
A=1,500(1.00375)^{20}A=1,500(1.00375)
20
A=\$1,616.60A=$1,616.60
crisps
normal price £1.43
three for the price of two
what is the total of 6 packets
Answer:
3 packs equal the price of two, therefore 1.43•2= 2.86
and 6 packs equal the price of 4, so 2.86•2= 5.72
What is the y-intercept of the equation y = 3x - 1
Answer:
you have to go over one on the y axes then 3 up that would be your answer.
your y-intercept would be -1
Which is in an equation of the line through (0,0) and (-8,-5)?
O A. y = 2
O B. y= -5x
O C. y = $u
D. y=-8x
Step-by-step explanation:
Since the first coordinates are both (0,0) it implies that the line passes through the origin.
The slope of the line is therefore 5/8
The equation:
y-0=5/8(x-0)
y=5/8x
Help me please just help I need help rn like rn
Answer:
i.900
j.6
k.8
l.0
Step-by-step explanation:
hope this helps you ;)
This is the change in kinetic energy of a system in which a 16 kg object moving at 25 m/s slows to a velocity of 20 m/s.
The change in kinetic energy of the system is 200 J
Kinetic energy is the energy that an object possesses as a result of its motion.
It is given by:
Kinetic energy = (1/2)m[v - u]²
Where m is the mass of the object, v is the final velocity and u is the initial velocity.
Given that m = 16 kg, v = 20 m/s, u = 25 m/s, hence:
Kinetic energy = (1/2) * 16 * (20 - 25)² = 200 J
The change in kinetic energy of the system is 200 J
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Write an equation in point-slope form that has a y-intercept at (0, 12) and also contains the point (1,2)
Answer:
y-2=-10(x-1).
Step-by-step explanation:
The point slope form is y-y_1 = m(x-x_1). Now we find the slope, which is 2-12 (-10)/1-0(1). This gives us -10. Now we plug the coordinates from one of the points and the slope to get y-2=-10(x-1).
Systematic bias occurs when the way data are collected and measured is
inaccurate. These flawed data lead to unreliable results.
A. True
B. False
Graph
Y-7=-3/5-(x+2)
Answer:
See attached
Step-by-step explanation:
A simpler form of the same equation is:
y = -4 +(4+2/5)
HeLpPPpppPpPppPpppPpPPp
Pete grabbed 18 mixed nuts, StartFraction 2 Over 9 EndFraction of which were almonds. Which equation shows how to determine the number of almonds Pete grabbed?
Answer:
Thats one heck of a whole lot nuts
Step-by-step explanation:
i NEED help pleaseee
Simplify 3a(2a+7)-2a²
pls help meeeeeeeeeeee
Answer:
b=22/15 or 1.46 repeating
Step-by-step explanation:
write this equation in slope intercept form
(4, -3) (2, -9)
Answer:
[tex]y=3x-15[/tex]
Step-by-step explanation:
[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-(-3)}{2-4}=\frac{-6}{-2}=3[/tex]
[tex]y=3x+b[/tex]
[tex]-3=3(4)+b[/tex]
[tex]-3=12+b[/tex]
[tex]-15=b[/tex]
[tex]y=3x-15[/tex]
[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-3),~\text{and}~ (x_2,y_2) = (2,-9)\\\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-9+3}{2-4} = \dfrac{-6}{-2} = 3\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-3) = 3(x-4)\\\\\implies y+3 = 3x -12\\\\\implies y = 3x -12 -3 \\\\\implies y = 3x -15\\\\\textbf{This is the slope - intercept form(y = mx +b), where m =3 and b =-15.}[/tex]
I need help with an equation... I can't understand it I've tried it a couple of times and I still get it wrong...so help plz?
Answer:
(f·g)(x) = x³ -8x² +20x -16
Step-by-step explanation:
The distributive property is useful for this.
(f·g)(x) = f(x)·g(x) = (x² -6x +8)(x -2)
= x(x² -6x +8) -2(x² -6x +8)
= x³ -6x² +8x -2x² +12x -16
(f·g)(x) = x³ -8x² +20x -16
_____
Additional comment
I find it convenient to separate the terms of the shortest polynomial. That way, the distributive property doesn't need to be used quite so many times. Of course, any outside minus sign applies to all terms inside parentheses.
What is the solution to 0. 3(12x - 16) = 0. 4(12 - 3x)?.
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
[tex]3\left(12x-16\right)=4\left(12-3x\right)[/tex]
First, let's solve the brackets. Use the distribution property. It simply means multiplying the value outside of the brackets to each value inside the brackets.
[tex]3\left(12x-16\right)[/tex]
[tex]=3\cdot \:12x-3\cdot \:16[/tex]
[tex]=36x-48[/tex]
[tex]4\left(12-3x\right)[/tex]
[tex]=4\cdot \:12-4\cdot \:3x[/tex]
[tex]=48-12x[/tex]
Now we've simplified the expression to:
[tex]36x-48=48-12x[/tex]
[tex]\mathrm{Add\:}48\mathrm{\:to\:both\:sides}[/tex]
[tex]36x-48+48=48-12x+48[/tex]
[tex]36x=-12x+96[/tex]
[tex]\mathrm{Add\:}12x\mathrm{\:to\:both\:sides}[/tex]
[tex]36x+12x=-12x+96+12x[/tex]
[tex]48x=96[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}48[/tex]
[tex]\frac{48x}{48}=\frac{96}{48}[/tex]
[tex]\bold{x=2}[/tex]
Therefore, the answer is [tex]x = 2[/tex]
The solution of the given equation [tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex] is [tex]x=2[/tex].
Given equation,[tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex]
Use the simple rules of algebra like the BODMAS rule to get the equivalent expression for the given equation.
Simplified expression:Firstly, open the brackets and then multiply the coefficients. In the next step arrange the terms to get the simplified solution.
On Solving the brackets, we get
[tex]3.6x-4.8=4.8-1.2x\\[/tex]
[tex]3.6 \ x+1.2 \ x=4.8+4.8[/tex]
[tex]4.8 \ x=9.6 \\x=\dfrac{9.6}{4.8} \\[/tex]
[tex]\ x= 2[/tex]
Hence, the solution of the given equation is [tex]x=2[/tex].
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Your bill at a restaurant is $68 and you want to leave a %20 tip what is the total amount you will leave
Answer:
$81.6
Step-by-step explanation:
You multiply 0.2 by 68, in which you will get 13.6, and then you add that to 68.
a coin is tossed 4 times. what is the probability of getting heads each time
answer: 1/16
If you flip a coin 4 times, the probability of getting all heads is 1/16.
simplify the expression
3( 2x - 4) -1n
pls hurry
Answer:
(3)(2x) + 3 (-4) + - 1n
6x + -12 + - n
Answer -n + 6x - 12
What is the slope of the proportional relationship, and how can I graph it?
Answer:
I would say 5.2 .
Step-by-step explanation:
if I’m wrong, I’m sorry. If I’m right, mark me brainlest!
How do you rewrite 7x3+7x5
If your looking for Standard Form Rewrite it as... [tex]7x^5+7x^3[/tex]
what is the sign of -5 times (-1/-2)
Answer:
-
Step-by-step explanation:
help with this graph please and thanks
Answer:
Okay, to graph this equation we need to graph the y-intercept first. This time its 7 for you, meaning 0,7. So graph (0,7) as your first point. Then we have your slope, which is -2/3`. So, from (0,7) we will do rise/run. So, our next point will be (3,5). We went down 2 and ran 3. Since its negative, we went DOWN.
-
if you want a third point, just ask!
-
Hope this helps.
-
<3
i need help with this math question
Answer:
D. f(x) = -6x^3 -5x^2 +21x
Step-by-step explanation:
The given zeros mean the function has factors ...
(x -(-7/3))(x -3/2)(x -0)
Multiplying by 6, we can write this as ...
(3x +7)(2x -3)(x) = 6x^3 +5x^2 -21x
And multiplying by -1 gives ...
-6x^3 -5x^2 +21x . . . . . matches choice D
__
Additional comment
The product of factors will be zero when f(x) = 0. This means we can multiply or divide by any convenient factor and the product will remain zero. Effectively, we have multiplied our original factorization by -6 to make the expression match one of the given forms. When we write this final expression as the function f(x), it remains true that the given zeros are zeros (x-intercepts) of f(x).
