Answer:
a = 2
Step-by-step explanation:
Here, we want to find all the possible values of a
If Q is 5 units away from P, then the distance between Q and P is 5 units
Mathematically, to find the distance between two points, we use the following formula
D = √( (x2-x1)^2 + (y2-y1)^2
So we have ;
D = √(2-(-2)^2 + (a-(-1)^2
D = √(16) + (a + 1)^2
Since D is 5, we have
5 = √(16) + (a +1)^2
Squaring both sides to remove the square root, we have
25 = 16 + (a + 1)^2
(a + 1)^2 = 25 - 16
(a + 1)^2 = 9
(a + 1)^2 = 3^2
Since power is equal, equate base
a + 1 = 3
a = 3-1
a = 2
State the domain of f•g. Then find f•g, including any additional restrictions necessary on the domain of the composition
Answer:
Answer is option A
Step-by-step explanation:
The required function [f o g(x)] is -7/√(x + 3).
The domain of the function [f o g(x)] > - 3.
What is a function?A function is the relation between two sets. The first one is called domain and the second one is called range.
Given, f(x) = - 7/x
g(x) = √(x + 3)
Therefore, f o g(x)
= f[g(x)]
= f[√(x + 3)]
= -7/√(x + 3)
Now, the domain of f o g(x) > - 3.
Learn more about a function here: https://brainly.com/question/12396459
#SPJ3
Find the error and explain what the correct step should be
Answer:
m = 12, the error was that the student did not divide both sides by -. so they got the incorrect answer
Step-by-step explanation:
okay, so you want to get m
because m is divided by 3, to counter it, you multiply both sides by three
-m/3 = -4
-m/3 times 3 =-4 times 3
because 1/3 times 3 =1, and -4 times 3 = -12, you get
-m = -12
then, divide both sides by - (because you want positive m)
and you get m = 12
the error was that the student did not divide by the negative, so in the end, their sign was wrong.
Marshall knows that he burns 235 calories by walking for 30 minutes. This week, Marshall walked for 360 minutes. How many calories did Marshall burn by walking this week?
Answer:
2820 calories
Step-by-step explanation:
Since 30 can fit into 360, you can divide it.
360/30=12
12 is what you will multiply to the number of calories in 30 minutes.
235*12=2820
Help please asap with this math
Answer:
30p + 5
You do destibutive property
(6p+1)(5)
6p * 5
1 * 5
=30p+5
80m15 + 72m12 − 32m10
Answer:
I dont know If this is what your looking for but Answer=1744m
Which of the following statements is true about
the values of the coordinate points in a figure when the figure is reflected over the y-axis?
Please help!!! The picture shows the selection of answers
Answer:
The y-axis stays the same
Step-by-step explanation:
:)
Simplify negative 6.5 times 2 times negative 5
Answer:
-65
Step-by-step explanation:
6.5*2*-5=-65
Answer:
65
Step-by-step explanation:
-6.5 x 2 x -5
-6.5 x 2
-13
-13 x -5
65
What is the prime factorization of 312
A.) 2 x 2 x 2 x 3 x 13
B.) 2 x 2 x 3 x 51
C.) 2 x 2 x 3 x 3 x 17
D.) 2 x 2 x 2 x 9 x 51
Answer:
A.) 2 x 2 x 2 x 3 x 13
Step-by-step explanation:
here is the factor tree for 312
Hope this helps! :)
g(t)=
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⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎪
⎧
−2t(t+1)
6
5t
2t
2
+3t
,
,
,
t 12
g
(
12
)
=
g(12)=g, left parenthesis, 12, right parenthesis, equals
Answer:
HI
Step-by-step explanation:
WHAT IS THAT
Answer:
10 (In khan academy)
Step-by-step explanation:
What is the equation to Pi in math?
By definition, pi is the ratio of the circumference of a circle to its diameter. In other words, pi equals the circumference divided by the diameter (π = c/d). Conversely, the circumference of a circle is equal to pi times the diameter (c = πd).
I know it’s late but is anybody here
Answer:
b is 0
Step-by-step explanation:
yes, i am here :)
Answer:
Equation: y = [tex]\frac{1}{2}x[/tex]
m = [tex]\frac{1}{2\\}[/tex]
b = 0
Type of Slope = Positive linear slope
We are here for you m8.
Function machine
x=?
f(x)=|x+8|
f(x)=-10
Raj is deciding between two cell phone plans, A and B, which are both linear functions. The monthly charge for plan A according to the number of minutes used is shown in the table.
Monthly Charge for Plan A
Minutes used, x
Monthly charge ($), y
0
14.45
3
14.84
6
15.23
9
15.62
12
16.01
Plan B has the same monthly base charge as plan A, but it charges a different amount per minute used. If the total monthly charge for plan B is $22.10 when 45 minutes are used, what is the slope of the linear function that represents the cost of plan B?
0.13
0.17
0.39
0.45.
Answer:B is the correct answer (0.17)
Step-by-step explanation:
PLEASE HELP!!
In isosceles triangle DAC, AD is congruent to AC. Kiran knows that the base angles of an isosceles triangle are congruent. What additional
information does Kiran need to know in order to show that AB is a perpendicular bisector of segment CD?
A perpendicular bisector is a line that crosses (bisects) another line segment at 90 degrees, dividing the line segment it crosses into two equal length lines
The additional information Kiran need to know to show that AB is a perpendicular bisector is the fourth option;
DB and BC are congruent
The reason for the above selection is as follows:
The information about the isosceles triangle DAC Kiran knows are;
Triangle DAC = An isosceles triangle
Segment AD is congruent to segment AC
Segment AB is a is a line from the vertex point A to the side CD of triangle DAC
The required parameter:
The information Kiran has know so as to show that AB is a perpendicular bisector of CD
Method:
Determine an attribute present in triangle DAC with line AB drawn that is due to line AB being a perpendicular bisector
Solution:
For AB to be a perpendicular bisector, then DB and BC are congruent
Given that DB and BC are congruent, we get;
AB is congruent to AB by reflexive property
Therefore, given that AD is congruent to AC, we have;
Sides AD, AB, and DB in triangle ΔADB are congruent to the corresponding sides AC, BC, and AB in triangle ΔACB, which gives
ΔADB is congruent to ΔACB by Side-Side-Side, SSS, congruency rule
Therefore, ∠ABD ≅ ∠ABC, by Congruent Parts of Congruent Triangles are Congruent, CPCTC
∠ABD = ∠ABC by definition of congruency
∠ABD and ∠ABC are linear pair angles, therefore;
∠ABD + ∠ABC = 180°
∠ABD + ∠ABD = 2 × ∠ABD = 180° by substitution property
∠ABD = 180°/2 = 90°
∠ABD = 90° = ∠ABC, therefore, AB is perpendicular to CD and AB is a perpendicular bisector of CD
Therefore, the correct option Kiran need to know in order to show that AB is a perpendicular bisector of segment CD is the option; DB and BC are congruent
Learn more about perpendicular bisectors here:
https://brainly.com/question/15807158
Find the quotient of x4 + 2x + 4x - 10 divided by x + 2.
show your work
Step-by-step explanation:
3/4 x +3-2x = -1/4 + 1/2x +5
Answer:
-9/5
Step-by-step explanation:
The work is in the paper
what are the common factors of 20 and 30
A. 1,2,5,10
B. 1,2,10
C. 1,10
D. 1,5,10
Answer:
D.
Step-by-step explanation:
Its D. Bruh
Angela lives 0.6 mile from the park. It takes her hour to walk her dog to the park. How quickly are Angela and her dog walking in miles per hour?
Answer:
0.6 miles an hour
Step-by-step explanation:
since it takes her 0.6 miles to walk an hour and an hour to walk 0.6 miles.
0.6 = 3/5
Answer: 0.1 miles per hour
Since an hour has 6 10-minute segments, divide by 6.
0.6 ÷ 6 = 0.1
Your answer should be 0.1 miles per hour.
So, Angela and her dog are walking at 0.1 miles per hour.
Hope this helps!
Sabendo que as retas “a”, “b” e “c” são paralelas, calcule o valor de y
a)20 m
b)21 m
c)23m
d)24m
PlzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzILL GIVE BRAINLY FOR CORRECT ANWSER
Answer:
2,4,3,1
Step-by-step explanation:
this is an isosceles triangle z=?
Answer:
Z = 75°
Step-by-step explanation:
Z is equal to 75°
hope that will help you
what is 0.000 0643 in standard form form ?
and what is 0.000 000 205 in standard form?
0.000 000 005 009
Answer:
See below
Step-by-step explanation:
[tex]0.000 0643 = 6.43 \cdot 10^{-5}[/tex]
[tex]0.000 000 205 = 2.05 \cdot 10^{-7}[/tex]
[tex]0.000 000 005 009 = 5.009 \cdot 10^{-9}[/tex]
Can I get some help please?
Answer:
at least 28
Step-by-step explanation:
Answer:
The answer is C. at least 28
Step-by-step explanation:
Connor- 58 comic books
Drew-31 comic books
So, 58-31=27
if Drew add 27 comic books than it would be equal to Connor. So in order to have a larger collection than Connor he should at least add 28 comic books.
Hope it helps :)
Find 1112+(−712). Write your answer as a fraction in simplest form.
Find 1112+(-712)=...
Plz help me
Last year, 75 new houses were built in a neighborhood. So far this year, 5/8 of them have been sold. How many new houses have been sold this year? Write your answer in simplest form.
Can someone help me answer this question ASAP!!!!
Answer:
noooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo u
Step-by-step explanation:
Six more than four times a number is equal to eight added to three times the same number. Find the number
6+4x=8+3x
-3x -6
x=2
the number is 2
What is a rational number and how do you know?
A plane flew 720 miles in 6 hours. How many miles did the plane fly in 4 hours?
Answer:
[tex]\huge\boxed{\texttt{480 miles}}[/tex]
Step-by-step explanation:
We can create a ratio here to find the constant of proportionality and use that to find how many miles the plane flew in 4 hours.
We know the plane flew 720 miles in 6 hours. We can create a ratio, represented as a fraction, in the form [tex]\frac{miles}{hours}[/tex] .
[tex]\frac{720}{6}[/tex]
We can now make another ratio where we use a variable for the miles flown in 4 hours.
[tex]\frac{x}{4}[/tex]
Since the ratios are equal, we can create an equation.
[tex]\frac{720}{6}=\frac{x}{4}[/tex]
To find the value of x, let's cross multiply.
[tex]720 \cdot 4 = 2880\\\\2880\div 6 = 480[/tex]
So the plane flew 480 miles in 4 hours.
Hope this helped!
3(k - 5) + 9k 2-3 does anyone know how to solve this?
Answer:
=21k-18
Step-by-step explanation: