Answer:
The answer is
[tex] \sqrt{17} \: \: \: or \: \: \: 4.12 \: \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
C(-3,-1), Q(-2,3)
The distance between them is
[tex] |CQ| = \sqrt{ ({ - 3 + 2})^{2} + ( { - 1 - 3})^{2} } \\ = \sqrt{ ({ - 1})^{2} + ( { - 4})^{2} } \\ = \sqrt{1 + 16} \\ = \sqrt{17} \: \: \: \: \: \: \: \\ = 4.1231...[/tex]
We have the final answer as
[tex] \sqrt{17} \: \: \: or \: \: \: 4.12 \: \: \: \: units[/tex]
Hope this helps you
6. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.) 7. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.)
Complete Question
The complete question is shown on the first uploaded image
Answer:
6a
[tex]V(3) = 113.112[/tex]
6b
[tex]V(\frac{3}{2}) = 14.139 [/tex]
6c
[tex]V(2r) = 33.514r^3[/tex]
7a
[tex] h(5) = 0 [/tex]
7b
[tex] h(t) = -5.76 [/tex]
7c
[tex] h(x+5) = x(x+5)[/tex]
Step-by-step explanation:
Considering the question 6
The function given is [tex]V(r) = \frac{4}{3} \pi r^3[/tex]
For V(3) we have
[tex]V(3) = \frac{4}{3} \pi 3^3[/tex]
[tex]V(3) = \frac{4}{3} * 3.142 * 3^3[/tex]
[tex]V(3) = 113.112[/tex]
For [tex]V(\frac{3}{2})[/tex]
[tex]V(\frac{3}{2}) = \frac{4}{3} * \pi * (\frac{3}{2})^3 [/tex]
[tex]V(\frac{3}{2}) = \frac{4}{3} * 3.142 * (\frac{3}{2})^3 [/tex]
[tex]V(\frac{3}{2}) = 14.139 [/tex]
For V(2r)
[tex]V(2r) = \frac{4}{3} \pi (2r)^3[/tex]
[tex]V(2r) = \frac{4}{3} * 3.142*8r^3[/tex]
[tex]V(2r) = 33.514r^3[/tex]
Considering the question 7
The function given is [tex] h(t) = t^2 - 5t [/tex]
For h(5)
[tex] h(5) = 5^2 - 5(5) [/tex]
[tex] h(5) = 0 [/tex]
For h(1.8)
[tex] h(t) = 1.8^2 - 5(1.8) [/tex]
[tex] h(t) = -5.76 [/tex]
For h(x+ 5)
[tex] h(x+5) = (x+5)^2 - 5(x+5) [/tex]
[tex] h(x+5) = x^2 + 25+10x-5x-25[/tex]
[tex] h(x+5) = x(x+5)[/tex]
Resolved
1. 2(y+4) +4 (2y+2)
Answer:
10y+16
Step-by-step explanation:
Distribute and combine like terms
If the measures of the angles in the following triangle were listed in increasing order, which measure would be second? (2x+24) ° (4x+43) ° (x^2+1) °
Answer:
x²+1 is the second
Step-by-step explanation:
2x+24=40°
4x+43=75°
x²+1=65°
(2x+24) + (4x +43) + (x²+1)=180
x²+6x+68=180
x1=-14
x2=8
since there's no negative angle, we'll use x=8
could someone help me with this, I have a few minds left. thanks!! Also marking as brainiest.
Solve for P
5/6p + 1= 3/4p -4
Answer: P= -60
Step-by-step explanation:
5/6p +1=3/4p -4
5/6p=3/4p-4. Subtract 1 from both sides
5p=9/2p-30. Trick( if there is a fraction multiply the denominator on both sides to make it a non fraction so life is easier, as I did I first multiply by 6)
10p=9p-60. multiply the second denominator on both sides(multiple by 2)
P=-60. Subtract 9p on both sides and keep the sign and you’ll get -60
At an ice cream store, a family ordered 1 banana split and 2 hot fudge sundaes, paying a total of $11 for their order. The next customer ordered 4 banana splits and 3 hot fudge sundaes and paid $29. How much does each item cost?
Answer:
$5 and $3
Step-by-step explanation:
Cost of banana split = b
Cost of hot fudge sundae = s
b + 2s = 114b + 3s = 29From the first equation we get:
b = 11 - 2sReplacing in the second equation:
4(11 - 2s) + 3s = 2944 - 8s + 3s = 2944 - 29 = 5s15 = 5ss = 15/5s = 3Then
b = 11 - 2*3 = 11 - 6 = 5So banana split costs $5 and hot fudge sundae costs $3
Find the value of x that will make L || M
Answer:
The value of x = 7 to make lines L and M parallel.
How many calories will Jacob burn in 1 minute while roller-skating????
Answer:
the answer is five
Step-by-step explanation:
first think of it like 40 over 200 then simplified down. which will get you 1/5 ,therefore five is the answer.
if 18 more than twice a number is -10,what is the number?
Answer:
-14
Step-by-step explanation:
Let the number be x
[tex]2x + 18 = - 10 \\ 2x = - 28 \\ x = - 14[/tex]
What value of x makes the equation true?
147 = 5(1 - 7x) + 2
Answer: X = -4
Step-by-step explanation:
first you need to solve, so do what needs to be done in the equation, which is just multiply and add
147 = 5 - 35x + 2
147= 7 -35x
get rid of the numbers around x, which would be subtracting 7 from both sides
140 = -35x
x = -4
The store charges $1.95 for a pack of 5 pens. What is the individual price per pen ?
A - .50
B- $1.95
C- $2.56
D- .39
does anyone know or can explain ?
-0.3535 is it rational or irrational
Answer:
Rational
Step-by-step explanation:
A rational number is a number expressed as a fraction. So the number could be a decimal or percent.
Hope This Helps :)
The given decimal number is rational number.
What is the rational number?Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).
The given decimal number is -0.3535.
Here, the given decimal number is repeated and terminating decimal
So, the given decimal is rational number
Therefore, the given decimal number is rational number.
To learn more about the rational numbers visit:
brainly.com/question/19161857.
#SPJ2
Find the value of each variable (x in this case)
2x and 4x + 108 are supplementary angles and that means they add up to 180 degrees.
2x + 4x + 108 = 180
Combine like terms
6x + 108 = 180
Subtract 108 from both sides.
6x = 72
Divide both sides by 6
x = 12
-3 - 3x = -4(2x + 7)
Answer : x=−5
Step-by-step explanation: Step 1: Simplify both sides of the equation.
−3−3x=−4(2x+7)
−3+−3x=(−4)(2x)+(−4)(7)(Distribute)
−3+−3x=−8x+−28
−3x−3=−8x−28
Step 2: Add 8x to both sides.
−3x−3+8x=−8x−28+8x
5x−3=−28
Step 3: Add 3 to both sides.
5x−3+3=−28+3
5x=−25
Step 4: Divide both sides by 5.
5x /5 = −25 /5
x=−5
Answer:
x=−5
Find the slope
x+3=0
Which of these would not produce a representative sample that determines the favorite sport of the students at the local high school?
Answer:
The answer is ask ten students wearing football jersey each day for a week
Step-by-step explanation:
Answer:
it its the pizza one because people could be bias and that would not give a very acturate answer
Step-by-step explanation:
Help I really don't know how to do this I need help !!!!!!
Answer:
It would be C for it is the lowest.
Step-by-step explanation:
Since all of these numbers are fractions we can divide them by the denominator and see which one would be the lowest. If we do that we will end up getting C.
A - 0.5
B - 0.5
C - 0.4
D - 0.45
half a number decreased by three is equal to 38 less than four times the number
Answer:
10
Step-by-step explanation:
let the unknown number be x
so half of x decreased by 3 is
1/2x -3
It is equal to 38 less than 4 times the number which is x; 4x-37
THEREFORE;
½x-3 =4x -38
x-6/2 = 4x-38
cross-multiply
x-6 =8x -76
x-8x = -76+6
-7x = -70
Divide both sides by -7
So x =10
Taki's are originally $3.25 a bag. You have a 25% off coupon. What
is the final price of the Takis?
Answer:
3.25 * .75 = $2.44
Step-by-step explanation:
Answer:
Your answer should be $2.44 or around there
Step-by-step explanation:
Which represents a function? A 2-column table with 5 rows. The first column is labeled x with entries negative 10, negative 5, 0, 5, 10. The second column is labeled y with entries 84, 31.5, 4, 1.5, 24. A mapping diagram shows a relation, using arrows between domain and range for the following ordered pairs: (8, negative 4), (negative 2, 10), (negative 2, negative 7). In the domain, the number 3 does not have a relation to a number in the range. A series of ordered pairs: (4, 5), (6, negative 2), (negative 5, 0), (6, 1)
Answer:
The 1st table represents a function
Step-by-step explanation:
Just trust me on this I took the quiz on edge 202 and got it right
the graph is
x | Y
--------------
-5 | -22
--------------
0 | -2
------------
3 | 10
D
Question 3
Write the phrase as an expression.
12 more than the quotient of a number k and 5
Answer:
12+k/5
Quotient is a quantity produced by the division of two numbers.
4 subtracted from twice w, the result is 20 more than w. Find w
Answer:
w = 24
I hope this helps!
Why is it imprecise to say that the equation 25 x 2 + 27 + 0 has no solution? Find all solutions of the equation.
Answer:
77
Step-by-step explanation:
77 is the only correct answer
Please help meeeeeeeeeee
8-5=3 : This means you add three each time
f(5)=8+3=1
f(6)=11+3=14
hope this helps :)
if not snap chat has a feature in the search bar and you can get answers by that
Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1? 9.6, –4.8, 2.4, –1.2, 0.6, ...
Answer:
whoa slow down one by on pls its hard for me 2 answer all that at once
Step-by-step explanation:
what is 2x + 4 = 2x + 4
Answer:
This is for x
Step-by-step explanation:
SOLVE FOR X (COMPLEX SOLUTION)
x∈C
SOLUTION STEPS
2x+4=2x+4
This is true for any x.
x∈C
SOLVE FOR X
x∈R
SOLUTION STEPS
2x+4=2x+4
This is true for any x.
x∈R
Can someone solve this ASAP!!! pls thx
Answer: just add givento number 1 and your all done bro
Step-by-step explanation:
Use the image below to solve for x.
Answer:
x will equal 61 degrees
Step-by-step explanation:
The total degree of a pentagon is 540. You subtract all the angles you have (138, 144, 107, and 90) and that will get your sum.
Find the distance between the two points. (round to the nearest hundredths)
distance:
Answer:
d = 5.10
Step-by-step explanation:
The distance between two points is given by
d = sqrt( ( y2-y1)^2 + ( x2-x1)^2 ) where ( x1,y1) and ( x2,y2) are the two points
d = sqrt( ( 5-6)^2 + (8-3)^2 )
d = sqrt( ( -1)^2 + (5)^2 )
d = sqrt( 1+25)
d = sqrt(26)
d = 5.099019514
Rounding to the nearest hundredth
d = 5.10
Answer:
[tex]d=\sqrt{26}\approx5.10[/tex]
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
We can see that Point R is at (3,6), and Point E is at (8,5).
Let's let (3,6) be (x₁, y₁) and let's let (8,5) be (x₂, y₂). So, substituting them into our formula, we'll get:
[tex]d=\sqrt{(8-3)^2+(5-6)^2[/tex]
Subtract:
[tex]d=\sqrt{(5)^2+(-1)^2[/tex]
Square:
[tex]d=\sqrt{25+1}[/tex]
Add:
[tex]d=\sqrt{26}[/tex]
Approximate. Use a calculator:
[tex]d=\sqrt{26}\approx5.10[/tex]
So, the distance between RE is approximately 5.1 units.
And we're done!
∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 2 x − 10 ) ∘ ∠A=(2x−10) ∘ and m ∠ B = ( x − 2 ) ∘ ∠B=(x−2) ∘ , then find the measure of ∠ A ∠A.
Answer:
Angle A = 58 degrees
Angle B = 32 degrees
Step-by-step explanation:
First of all, we will need to know that complementary angles are angles that sum up to 90 degrees.
This means that if we add the values of angle A and angle B, they will both sum up to 90 degrees.
i.e (2x-10) + (x-2) = 90
3x -12 = 90
3x = 102
x = 34 degrees
We can substitute this value of x into the equations for angles A and B
A = (2 X (34) - 10 ) = 58 degrees
B = ( 34 - 2) = 32 degrees
Therefore, angles A and B are 54 and 32 degrees respectively.
Check: We can add the two angles to see if we get 90 degrees. 58 + 32 = 90 degrees. This shows that the two angles are complementary and our answer is correct.