Answer:
Given coordinetes of triangle A(−2,3),B(8,3) and C(6,7)
AB=
[8−(−2)]
2
+(3−3)
2
=
(10)
2
+(0)
2
=
100
AC=
[6−(−2)]
2
+(7−3)
2
=
(8)
2
+(4)
2
=
64+16
=
80
BC=
(6−8)+[7−(2)]
2
=
(−2)
2
+(4)
2
=
4+16
=
20
If ABC is a right angled triangle, then square of one side must be equal to sum of suare of other two sides.
AB
2
=(
100
)
2
=100
and AC
2
+BC
2
=(
80
)
2
+(
20
)
2
=100
∴AB
2
=AC
2
+BC
2
thus triangle satisfies the Pythagoras theorem
Hence, the triangle is right angled triangle.
Step-by-step explanation:
2,8,18,32,50,72 which term is the sequence is 512?
Answer:
16
Step-by-step explanation:
2+6=8
8+10=18
18+14=32
6+4=10 10+4=14
an+1=an+(2+4n)
a7=a6+26=72+26=98
a8= a7+30= 98+30=128
a9=a8+34=128+34= 162
a10=a9+38= 162+38=200
a11=a10+42= 242
a12=242+46=288
a13=288+50= 338
a14=338+54= 392
a15=392+58= 450
a16= 450+62=512
Solve the simultaneous equations. to. 3 significant figures.
3x^2 + y^2 = 20
2x + y =3
Answer:
check explanation
Step-by-step explanation:
in eqn 2,
y = 3 - 2x
substitute for it in eqn 1
3x² + y² = 20
3x² + (3 - 2x)² = 20
3x² + 9 - 12x + 4x² = 20
Group like terms;
3x² + 4x² - 12x = 20 -9
7x² - 12x = 11
x(7x - 12) = 11
x = 11,
OR
7x - 12 = 11
7x = 11 + 12
7x = 23
x = 23/7
x = 3.286
To get y, substitute for x in eqn 2
WHEN x = 11,
y = 3 - 2(11)
y = 3 - 22
y = -19
WHEN x = 3.286
y = 3 - 2(3.386)
y = -3.772
HELPPPP PLSSS!!! Find the distance between the points (-16, -10) and (6, -10). 20% 16 12 8 4 X -16 -20 -12 -8 -4 4 8 12 20 16 -4 -8 (-16, -10) -12 (6, -10) -16 -20-
Answer:
10 points away
fill in the dimensions and angle measures . Are the dashed segments parallel ?
Answer:
To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3.
if f(x)= 2(3x²-2x+2). Find:
A) f(x+1)
B) f(3)
C) f(y-2)
How do I solve this I wanna know so I can do the rest without help pls
x + 5 = 2
Answer:
-3
Step-by-step explanation:
move the constant to the other side and get
X = 2 - 5
and X = -3
Which expression has the same value as –7 4/5 + 5 1/6
5 1/6 - 7 4/5
-7 4/5 - 5 1/6
-5 1/6 + (-7 4/5)
5 1/6 - (-7 4/5)
There are two precalculus sections at a high school. Mr. Abel's class has 10 girls and 6 boys, while Mr. Bonitz's class has 10 girls and 12 boys. If a precalculus student chosen at random happens to be a girl, what is the probability she is from Mr. Abel's class?
Answer:gggggggggg
Step-by-step explanation:
gggggggggggggggggggggggggggggggggggggg
Rewrite in simplest terms: -10f – 6(-9f +2)
Answer:
-44f - 12
Step-by-step explanation:
Here's the method :
-10f - 6 (-9f + 2 )
-10f + 54f - 12
-44f - 12
Answer:
[tex]44f - 12[/tex]
Step-by-step explanation:
[tex] - 10f - 6( - 9f + 2)[/tex]
[tex] - 6( - 9 + 2)[/tex]
[tex] - 6 \times ( - 9f) - 6 \times 2[/tex]
[tex]6 \times 9f - 6 \times 2[/tex]
[tex]54f - 6 \times 2[/tex]
[tex]54f - 12[/tex]
[tex] - 10f + 54f[/tex]
[tex]( - 10 + 54)f[/tex]
[tex] = 44f - 12[/tex]
Question 5
Kaya is riding her dirt bike on a road and spots a pothole ahead.
Kaya slows her car from 20.0 m/s to 5.0 m/s in 3.0 seconds. What
was her acceleration?
A lumberjack can cut a log into 5 pieces in 20 minutes. How long does it take to cut a log of the same size and shape into 7 pieces? If you dont have the correct answer please dont comment
Answer:
28minutes
Step-by-step explanation:
Use this simple trick, it can be used almost everywhere
Time taken pieces
20mins 5
? 7
An x shape is always multiply and straight line is divide
So (7 x 20) ÷5
If u still don't understand, just comment again
Answer:
Step-by-step explanation:
No that is incorrect 28 is not the answer:
1. 4 cuts every 20 mins it would take one cut every 5 mins. You only need one more cut because 6 cuts make 7 pieces. If you draw it.
1/5= 6/30 so 30 mins!
The difference of F and 5 times G is the same as 25 minus f
Step-by-step explanation:
(5×G)-F=25-F
I hope it helped U
stay safe stay happy
24. The expression ax2 + bx + c takes the values 0, 1 and 4 when x takes the values 1, 2
and 3 respectively. Find the value of the expression when x takes the value 4.
Please solve it for me
Answer:
When x takes the value of 4, the expression takes the value of 9.
Step-by-step explanation:
We are given that the expression:
[tex]\displaystyle ax^2 + bx + c[/tex]
Evaluates to 0, 1, and 4 when x = 1, 2, and 3, respectively.
And we want to determine the value of the expression when x = 4.
The expression evaluates to 0 when x = 1. In other words:
[tex]\displaystyle a(1)^2 + b(1) +c = a + b + c = 0[/tex]
We can complete the same for the other two:
[tex]\displaystyle a(2)^2 + b(2) + c = 4a + 2b + c = 1\text{ and } \\ \\ a(3)^2 + b(3) + c = 9a + 3b + c = 4[/tex]
This yields a triple system of equations:
[tex]\displaystyle \left\{ \begin{array}{l} a + b + c = 0 \\ 4a + 2b + c = 1 \\ 9a + 3b + c = 4 \end{array}[/tex]
Solve. We can cancel out the c by multiplying the first equation by negative one and adding it to both the second and the third:
[tex]\displaystyle \begin{aligned} (4a + 2b + c) + (-a - b -c ) &= (-0) + (1) \\ \\ 3a +b &= 1\end{aligned}[/tex]
And:
[tex]\displaystyle \begin{aligned} (9a + 3b + c) + (-a - b -c) &= (-0) + (4) \\ \\ 8a + 2b &= 4\end{aligned}[/tex]
Solve for the two resulting equations. We can multiply the first by negative two and add it to the second:
[tex]\displaystyle \begin{aligned}(8a + 2b) + (-6a -2b) &= (4) + (-2) \\ \\ 2a &= 2 \end{aligned}[/tex]
Hence:
[tex]a = 1[/tex]
Solve for b:
[tex]\displaystyle \begin{aligned} 3a + b &= 1 \\ b&= 1 - 3a \\ b&= 1 - 3(1) \\ b &= -2\end{aligned}[/tex]
And finally, solve for c:
[tex]\displaystyle \begin{aligned} a + b + c &= 0 \\ (1) + (-2) + c &= 0 \\ c &= 1\end{aligned}[/tex]
Hence, our expression is:
[tex]\displaystyle x^2 -2x + 1[/tex]
Then when x = 4:
[tex]\displaystyle (4)^2 - 2(4) + 1= 9[/tex]
In conclusion, when x = 4, the resulting value is 9.
Find the distance between the points (-3, 5) and (0, 1)
a shea cd player costs $80 last year and $112 this year. what was the percent of increase in its price
Answer:
40% increase
Step-by-step explanation:
c = final value - initial value
------------------------------------
initial value
112 - 80 = 32
32 / 80 = 0.4
0.4 = 40%
Find the perimeter of A(1, 1), B(7, 1), and C(1, 9).
Answer:
24units.
Step-by-step explanation:
steps are in picture.
If you have any question about it please ask.
pls hurrryyyyyyy #42 only and show work
Answer:
x = 70
Step-by-step explanation:
50 + x + 2x + 100 = 360
Combine like terms
3x + 150 = 360
Subtract 150 from both sides
3x = 210
Divide both sides by 3 to isolate x
x = 70
If a line segment AB is on the number line, and the point A is at - 7 and point B is at 12, the length of AB is ____.
Answer:
Here,
A=-7
B=12
Length of AB=?
Now, We know that,
Length of AB=-7-12
=-19
Thus, the length of AB is -19
show me step by step : 22.04 x 9 =
Answer:
the answer is 198.36
Step-by-step explanation:
i dont know lol sorry
Maureen withdrew $20 from her bank account to go to lunch with friends. Later, she
deposited $25 that she made babysitting.
What is the total change in Maureen's bank account relative to where it started?
can anyone help me please
Answer:
fig.1 No, fig.2
Step-by-step explanation:
fig.1 is no because "a" has more than one output therefore it's not a function.
fig. 2 is yes because "a,b,c,d" have different outputs but not more than one
try the rest by yourself. have a good day and remember don't get stressed over the little things
Help me with this question!
Answer:
...
Step-by-step explanation:
plz help me plz!!!!!!
Answer:
6. was Narbada alienated ...?
7. did Pratima make ...?
8. did Zayasha wander ...?
9. Did Sachin behave as if...?
10. did susan look ...?
12. do sarina and sazina jump ...? (plural noun)
13. Were ... and ... aghast to...?
Step-by-step explanation:
yes/ no question:
Past simple: Did + S + V-bare...?
Passive voice (Past simple): Was/ Were + S + V3/ed (past participle)
Findi the value of x
Answer:
By Pythagoras theorem ,
H^2 = P^2 + B^2
H^2 = 4^2 + 3^2
H^2 = 16 + 9
H^2 = 25
H = 5
therefore , value of x = 5
hope that helps uh..☺
Answer:
x = 5
Step-by-step explanation:
Since it's a right triangle, you can use Pythagorean Theorem.
[tex]a^2+b^2=c^2\\3^2+4^2=x^2\\9+16=x^2\\25=x^2\\5=x[/tex]
There are ‘n’ arithmetic means between 33 and – 3. If second last mean: second mean = 1: 5, find the value of n.
We know that:
There are n arithmetic means between the numbers 33 and -3
second last mean: second mean = 1:5
Using this, we can find that the value of n is 9.
Now let's see how we need to use the information.
"There are n arithmetic means between the numbers 33 and -3"
This means that we will have a sequence like:
33, a₁, a₂, ..., aₙ, -3
And by the given ratio, we know that:
aₙ₋₂:a₂ = 1:5
Also, because this is an arithmetic sequence we have:
a₁ = 33 + d
a₂ = 33 + d + d
aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d
Because of the ratio, we will have that:
aₙ₋₂/a₂ = 1/5
We can replace what the left side by:
(-3 - 2*d)/(33 + 2*d) = 1/5
now we can solve this for d.
-3 - 2*d = (33 + 2*d)*(1/5)
5*(-3 - 2*d ) = (33 + 2*d)
-15 - 10d = 33 + 2d
-15 - 33 = 2d + 10d
-48 = 12d
-48/12 = -4 = d
So now we know that the value of d is -4.
Now we can use the equation
aₙ ₋ ₂ = 33 + (n - 2)*d = -3 - 2*d
to find the value of n:
33 + (n - 2)*d = -3 - 2*d
33 + (n - 2)*-4 = -3 - 2*-4
33 - 4n + 8 = -3 + 8
41 - 4n = 5
-4n = 5 - 41 = -36
n = 36/4 = 9
The value of n is 9.
If you want to learn more, you can read:
https://brainly.com/question/11559160
Answer:
Step-by-step explanation:
HI. just posted a question can u help me out pleas please
4. HM SENSE-MAKING
A local gym membership costs $20 per month plus additional activity charges. If x is the number of exercise classes taken above the planned amoun and y is the number of massages taken above the planned amount, interpret each expression.
a. 15%
b. 55y
c. 15x + 55y + 20
Answer:
15x+55y+20
Step-by-step explanation:
mark me brainlest
The expression of the total cost of the gym will be 15x + 55y + 20. Then the correct option is C.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Local gym membership costs $20 per month plus additional activity charges. If x is the number of exercise classes taken above the planned amount of $15 and y is the number of massages taken above the planned amount of $55. Then the expression of the total cost of the gym will be
⇒ 15x + 55y + 20
The expression of the total cost of the gym will be 15x + 55y + 20. Then the correct option is C.
More about the Algebra link is given below.
https://brainly.com/question/953809
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(5m-4)/6 -1 = 4m - (3m+10)/2
pls answer fasttt
Answer:
2
Step-by-step explanation:
first multiply everything by 6 to get rid of the fractions
then we get 5m-4 -6 = 24m -9m -30
simplify the equation 5m-10=15m-30
subtract 5m from both sides and add 30 to both sides 10m=20
divide by 10, m=2
Samuel invested money in his bank account. He had a principal, P, of $100 in his account at the beginning of the period, which increased at a rate, r, of 0.15 per year. At the end of the period, he had interest, I, of $105 in his account. Use the simple interest formula I = Prt, to solve for the time, t, in months that it took to earn this amount.
Hey there! I'm happy to help!
Let's see what we have for each variable.
I = 105
P = 100
r = 0.15
Now, let's plug it in and solve for our t (time)
105=100(0.15)(t)
Swap sides so t is on the left.
100(0.15)(t)=105
Divide both sides by 100.
0.15t=1.05
Divide both sides by 0.15
t=700
So, we see that it takes 700 months to earn this amount.
Have a wonderful day and keep on learning! :D
The number of months that it took to earn this amount will be 84 months.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
I = (PRT)/100
Where P is the principal, R is the rate of interest in percentage, and T is the time.
Samuel invested money in his bank account.
He had a principal, P, of $100 in his account at the beginning of the period, which increased at a rate, R, of 0.15 per year.
At the end of the period, he had interest, I, of $105 in his account.
105 = 100 x 0.15 x t
t = 1.05 / 0.15
t = 7 years
The number of months that it took to earn this amount will be
⇒ 7 x 12
⇒ 84 months
The number of months that it took to earn this amount will be 84 months.
More about the simple interest link is given below.
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Reduce the Fractions 15/9to its Lowest Terms
[tex]\large\bf{\red{ \implies}} \tt \: \cancel\frac{15}{9} \\ [/tex]
[tex]\large\bf{\red{ \implies}} \tt \: \frac{5}{3} \\ [/tex]
Decimal Form - 1.6667
Estimate the measure of this angle within 15°.
