Given the points Q(-3, -4) and R(2, 0), find the coordinates of the point P on directed line segment QR that partitions segment QR such that the ratio of QP to PR is 2
Step-by-step explanation:
the answer in photo above
Write as a single power: (x^4)(x^10)/(x^3)^5
The solution of the expression as a single power is X²⁹.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is (x⁴)(x¹⁰)/(x³)⁵. The equation will be solved by the property of exponents.
E = (x⁴)(x¹⁰)/(x³)⁵
Add all the powers of the same base x.
E = (x⁴)(x¹⁰)/(x¹⁵)
E = x⁽⁴⁺¹⁰⁺¹⁵⁾
E = x²⁹
Therefore, the solution of the expression as a single power is X²⁹.
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Please answer properly.
Answer:
1) [tex]b=6[/tex]
2) [tex]m=4[/tex]
3) [tex]p=12[/tex]
4) [tex]x=-1\frac{2}{6}[/tex]
Step-by-step explanation:
[tex]b+6=12[/tex]
subtract 6 from both sides
[tex]b=6[/tex]
---------->>>>
[tex]9m=32+4[/tex]
combine like terms
[tex]9m=36[/tex]
divide both sides by 9
[tex]m=4[/tex]
---------->>>>
[tex]21=p+9[/tex]
Subtract 9 from both sides
[tex]12 = p[/tex]
---------->>>>
[tex](10+5)+3x=0[/tex]
Add within the parenthesis
[tex]5+3x=0[/tex]
subtract 5 from both sides
[tex]3x=-5[/tex]
divide both sides by 3
[tex]x=-1\frac{2}{6}[/tex]
Hope this is helpful to you.
a 25% tip was payed on a 30$ meal what is the amount of the tip
Answer:
$7.50
Step-by-step explanation:
30 x 0.25= 7.50
Combine the radicals 9 x-3 x
6
6 x
-6 2x
-6
Answer:
6xStep-by-step explanation:
9x - 3x
[When like terms are combined then as per statement they get subtracted]
= 6x (Ans)
can anyone help me please?
Answer:
yes i can help you with all the time
What are the solutions of this quadratic equation? X2 − 10x = -34 A. X= -8, -2 B. X= 5 + 3i C. X= -5 + 3i D. X= -5 + square root of 59
Answer:
B. X= 5 + 3i
5 + 3i
Step-by-step explanation:
We are given the quadratic equation
x² - 10x = -34
x² - 10x + 34 = 0
Using Almighty formula
x = -b ± √b² - 4ac/2a
When given equation: ax² + bx + c
Where: a = 1, b = -10 , c = 34
x = -10 ± √-10² - 4 × 1 × 34/2 × 1
x = 10 ± √100 - 136/2
x = 10 ± √-36 /2
x = 10/2 ±. √-36/2
x = 5 ± 6i /2
x = 5 ± 3i
Hence: the roots of the equation are:
x = 5 - 3i , x = 5 + 3i
Aaron as 3 times as many sweets as Bola Aaron gives Bola 6 sweets and now he has twice as many as her new total How many sweets did they each begin with
Answer:
Aaron = 54
Bola = 18
Step-by-step explanation:
Let
[tex]A \to Aaron[/tex]
[tex]B \to Bola[/tex]
From the first statement, we have:
[tex]A = 3B[/tex]
After given Bola 6 sweets,
[tex]A - 6 = 2(B + 6)[/tex]
Required
The initial number of sweets each has
Substitute [tex]A = 3B[/tex] in [tex]A - 6 = 2(B + 6)[/tex]
[tex]3B - 6 = 2(B + 6)[/tex]
Open bracket
[tex]3B - 6 = 2B + 12[/tex]
Collect like terms
[tex]3B -2B = 12+6[/tex]
[tex]B = 18[/tex]
Substitute [tex]B = 18[/tex] in [tex]A = 3B[/tex]
[tex]A = 3 * 18[/tex]
[tex]A = 54[/tex]
Owen bought 4 pizzas for a class party. If each person ate 1/5 of a pizza, how many people could be served? Division and multiplecation please right the correct equation.
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Answer:
20 people
Step-by-step explanation:
Let n represent the number of people served. If each ate 1/5 of a pizza and there are 4 pizzas, we have ...
(1/5)·n = 4
The solution can be found by multiplying both sides of the equation by 5.
5(1/5)n = 5(4)
n = 20
20 people could be served.
Which equation does not describe a linear function?
y = 7
y = 2x2 – 5
2y = 3x - 9
4x – 6y = 13
Answer:
The second option
Step-by-step explanation:
All the other choices can be graphed as straight lines, but only the second option is a parabola
Answer:
y = 2x² – 5
Step-by-step explanation:
y = 2x² – 5 is not lineal function since x is raises to an exponent.
A jar contains quarters and nickels. There are 5 fewer quarters than nickels. The
total value of the coins is $4.45. Which system of equations can be used to
determine the number of quarters, q, and the number of nickels, n?
Given:
In a jar, there are 5 fewer quarters than nickels.
The total value of the coins is $4.45.
To find:
The system of equations can be used to determine the number of quarters, q, and the number of nickels, n.
Solution:
Let q be the number of quarters and n be the number of nickels.
It is given that there are 5 fewer quarters than nickels.
[tex]q=n-5[/tex] ...(i)
We know that,
1 quarter = $0.25
1 nickel = $0.05
Using these conversions, we get
q quarters = $0.25q
n nickels = $0.05n
The total value of the coins is $4.45.
[tex]0.25q+0.05n=4.45[/tex] ...(ii)
The equations (i) and (ii) are equations of required system of equations.
Therefore, the system of equations is:
[tex]q=n-5[/tex]
[tex]0.25q+0.05n=4.45[/tex]
What effects do the values of a and b have on the graph of the linear relation y = ax + b?
For the function y = -2x + 4, the input is 3. What is the output?
Answer:
The output is -2 when the input is 3.
Step-by-step explanation:
You're actually being asked to evaluate y = -2x + 4 at x = 3. x is the 'input' and y is the 'output.'
At x = 3, y = -2(3) + 4 = -2
The output is -2 when the input is 3.
Mike wants to work out the height of a tree which has a fence around it. From A he sees that the angle of elevation of the top is 19° From B, 18m closer, the angle of elevation is 32° Workout the height of the tree
Answer: 13.8 m
Step-by-step explanation:
Given
From point A, angle of elevation is [tex]19^{\circ}[/tex]
From point B which is 18 m closer, it changes to [tex]32^{\circ}[/tex]
Suppose the height of tree is h
From figure, we can write
[tex]\Rightarrow \tan 32=\dfrac{h}{x}\\\\\Rightarrow h=x\tan 32^{\circ}[/tex]
Similarly
[tex]\Rightarrow \tan19^{\circ}=\dfrac{h}{x+18}\\\\\Rightarrow h=(x+18)\tan 19^{\circ}\\\text{Substitute the value of h}\\\Rightarrow x\tan 32^{\circ}=x\tan 19^{\circ}+18\tan 19^{\circ}\\\Rightarrow x(\tan32^{\circ}-\tan 19^{\circ})=18\tan 19^{\circ}\\\\\Rightarrow x=\dfrac{18\tan 19^{\circ}}{\tan32^{\circ}-\tan 19^{\circ}}\\\\\Rightarrow x=22.09\approx 22.1\ m[/tex]
Deduce the value of h
[tex]\Rightarrow h=22.092\times \tan 32^{\circ}\\\Rightarrow h=13.8\ m[/tex]
Thus, the height of the tree is 13.8 m
B E
400
(51)
А
C D
3t
Find the measure of ZF if mZD=88º.
A. 8°
B. 40°
C. 52°
D. 90°
the answer is c because you have to take the zf an time it by the zd
Answer:
C
Step-by-step explanation:
for the top of the triangle it has to be 40 and angle d has been declared as 88
so it is 40+88 = 128 now 180 -128 = 52 so the answer is C
4,570= 3thousands+___hundreds+ 7 tens
Answer: 4 thousands, 5 hundreds, 7 tens
Step-by-step explanation: 4,570 is pretty easy to break down. The first place value is 0 so nothing for that. As you have it there the tens place values has 7. Next is hundreds and there's a 5 there so 5 hundreds. If the number is 4,570 then it should be 4 thousands not three.
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:area of the circle=πr²
3.14 =3.14 ×r²
r²= 1
r. =1 millimeters
Which correctly uses bar notation to represent the repeating decimal for
fi
O 0.54
O 05454
O 054
O 0.545
What is the value of y?
O A. 36°
O B. 72°
C. 54°
O D. 1080
sorry but can u show a picture of y?
Answer:
but where is que plz show your que
Help pls , will give brainliest!
=======================================
Work Shown:
1 liter = 1000 mL
3 liters = 3000 mL
I multiplied both sides by 3.
Divide that result over 500 to get 3000/500 = 6
So she'll need to buy 6 cartons.
-------
You could also solve like this:
(1 carton)/(500 mL) = (x cartons)/(3000 mL)
1/500 = x/3000
1*3000 = 500*x ... cross multiply
3000 = 500x
500x = 3000
x = 3000/500 .... dividing both sides by 500
x = 6
math subject
true or false about geometry and measurement Garde 6
true or false
two rays with the same end point from an angel
I will give u branilist
Answer:
True
Step-by-step explanation:
An angle is formed by two rays with a common endpoint. Each ray is called an arm of the angle. The common endpoint is called the vertex of the angle.
Answer:
false
Step-by-step explanation:
two rays with don't have the same end point from an angle
PLEASE HELP ANGLE OF TRIANGLE
Answer:
my last answer was why the sum of two known angles is equal to the exterior angle so now you can use the easier way:
add the two known angles.
41+107 = 148
that means the exterior angle is equal to 148
x=148
Step-by-step explanation:
Answer:
148
Step-by-step explanation:
The first thing that you want to do is find the missing angle on the inside of the triangle as that angle is supplementary (an angle that when put together it adds up to 180°). So,
In accordance to the triangle sum theorem all of the angles inside the triangle must add up to 180°. For this equation will call the missing interior angle n.
41+107+n=180
148+n=180
n=32
So with this we know that the interior angle is 32°, now all we have to do is subtract 180 by 32 as the X and angle n are supplementary angles
180-32 = 148°
And that is you’re answer!
Please help me, please and thank you it would mean a lot.
x2 + y2 = 9
x + y = 2
Answer:
I think its 4,5. Not entirely sure but it makes sense
What is the measure of arc XZ?
ohh dear u still have school i have a holiday for two months
A square picture is 8 inches on each side. It is scaled by 74%. What are the dimensions of the new picture
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Answer:
5.92 inches on a side
Step-by-step explanation:
The new dimension is the original dimension multiplied by the scale factor.
(8 in)(74%) = 5.92 in
Please help me. Study island is hard
Answer: 5/12
Step-by-step explanation:
13-7 = 5
16-4 = 12
What is the distance between (4,6) and (9,15)?
Answer:
10.2956
Step-by-step explanation:
The distance between (4,6) and (9,15) is √87.
What is distance formula?The distance between the points P ([tex]x_1, y_1[/tex])and Q ([tex]x_2, y_2[/tex]) is
PQ = √[tex](x_2 - x_1[/tex]) ² + ([tex]y_2 - y_1[/tex])² , which is called the distance formula.
Given coordinates: (4,6) and (9,15)
Using distance formula:
=√[tex](x_2 - x_1[/tex]) ² + ([tex]y_2 - y_1[/tex])²
= √[tex](9 -5[/tex]) ² + ([tex]15 -6[/tex])²
=√[tex](4[/tex]) ² + (9)²
= √16 + 81
=√87.
Hence, the distance between (4,6) and (9,15) is √87 units.
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Write the Slope Intercept Form equation of the line that passes through the points (−24,8) and (−12,28).
Answer:
y = 5/3x + 48
Step-by-step explanation:
y2 - y1 / x2 - x1
28 - 8 / -12 - (-24)
20 / 12
5/3
y = 5/3x + b
8 = 5/3(-24) + b
8 = -40 + b
48 = b
HELP RIGHT NOW AND ILL GIVE BRAINLY IF CORRECT
Answer:
-9
Step-by-step explanation:
[tex]3^{-36}[/tex]= [tex]27^{-12}[/tex]