x = 5/4 or x = 15/4
Step-by-step explanation:
i'm in a math test and i need help what is 1 + 1
If a point P(x,y) is the equidistant from the points A(2,3) and B(6,1), find the equation of locus of moving point P.
please answer it and I will mark your answer as the brainliest..please..!!!
Answer:
[tex]y=2x-6[/tex]
Step-by-step explanation:
A locus can be defined as a curve or figure formed by all the points satisfying a particular equation of the relation between coordinates.
The condition stated in the question is such that a generic (x,y) point of the curve is equidistant from the points A(2,3) and B(6,1).
The distance d1 from (x,y) to (2,3) is:
[tex]d_1=\sqrt{(x-2)^2+(y-3)^2}[/tex]
The distance d2 from (x,y) to (6,1) is:
[tex]d_2=\sqrt{(x-6)^2+(y-1)^2}[/tex]
Since d1=d2:
[tex]\sqrt{(x-2)^2+(y-3)^2}=\sqrt{(x-6)^2+(y-1)^2}[/tex]
Squaring both sides:
[tex](x-2)^2+(y-3)^2=(x-6)^2+(y-1)^2[/tex]
Operating:
[tex]x^2-4x+4+y^2-6y+9=x^2-12x+36+y^2-2y+1[/tex]
Simplifying all the squares:
[tex]-4x+4x+4-6y+9=-12x+36-2y+1[/tex]
Moving the variables to the left side and the numbers to the right side:
[tex]-4x+12x-6y+2y=36+1-4-9[/tex]
Simplifying:
[tex]8x-4y=24[/tex]
Dividing by 4:
[tex]2x-y=6[/tex]
Or, equivalently:
[tex]\boxed{y=2x-6}[/tex]
Is 123456789098765432172 is divisible by 18?
Answer:
123456789098765432172 is NOT divisible by 18. When it is divided out you are left with a decimal! :)
Step-by-step explanation:
1. Which set of numbers includes the square root of 42?
a) irrational number
b) integers
c) rational numbers
d) whole numbers
2. What is the name of this set?
{ … -3, -2, -1, 0, 1, 2 3, …}
a) real numbers
b) integers
c) rational numbers
d) whole numbers
3. Which set does not include negative numbers?
a) real numbers
b) integers
c) rational numbers
d) whole numbers
4. Which of these equals an integer?
a) 12 ¸ 5
b) -12 ¸ 5
c) -15 ¸ 4
d) -15 ¸ 5
5. Which of these is closest to 150?
a) 12.2
b) 12.4
c) 14.2
d) 15
Answer:
C,B,D,A,D
Step-by-step explanation:
HELP!!
Write a story problem in which you would have to multiply 5 × -1/3 to find the answer.
BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week?
Answer:
1102.5 pounds of apples will be sold in a week.
Step-by-step explanation:
Amount of apples in each bag = 3.5 pounds
If BJs sells 45 bags each day, amount of apples sold = 3.5 × 45
= 157.5 pounds
Number of days in a week = 7
Amount of apples sold in one week = Apples sold in a day × Number of days in a week
Amount of apples sold in 7 days = 157.5 × 7
= 1102.5 pounds
Therefore, amount of apples sold in a week = 1102.5 pounds
Answer:
1102.5 pounds
Step-by-step explanation:
Solve.
3(x-4) = -3
How do i slove this
Answer:
[tex]3(x - 4) = - 3 \\ 3x + 12 = - 3 \\ 3x = - 15 \\ x = - 5[/tex]
Firstly, multiply the number and variable in the perenthesis. Then move the variable on it's own side of the equation. The simplify.
Answer:
You need to do the Distributive Property. This means multiplying the number outside the parenthesis to each number inside.
Step-by-step explanation:
3(x)=3x
3(-4)=-12
3x+-12=-3
then evaluate using inverse operations to get x=3
Please help! I’ll mark as BRAINLIEST :))
If a conditional statement is true and its converse is also true, could the conditional statement be written in another way?
Step-by-step explanation:
could the conditional statement be written in another way
Which one?
A. B. C. or D?
Answer:
b
Step-by-step explanation:
because b sounds like it lol
HELP I DONT HAVE MUCH TIME
Answer:
10 miles, 6 inches
Step-by-step explanation:
2.5 x 10
15/2.5
Solve the inequality and graph the solution on the line provided.
8r - 9> -17
Pls help me !!!
Answer:
[tex]\boxed { x > -1}[/tex]
Step-by-step explanation:
Solve the following inequality:
[tex]8x - 9 > - 17[/tex]
-Add [tex]9[/tex] to both sides:
[tex]8x - 9 + 9 > -17 + 9[/tex]
[tex]8x > -8[/tex]
-Divide both sides by [tex]8[/tex]:
[tex]\frac{8x}{8} > \frac{-8}{8}[/tex]
[tex]\boxed { x > -1}[/tex]
-The number line (graphed):
How can you find the reciprocal of 0.8? Select all that apply.
Answer:
TAKEN FROM GOOGLE
Step-by-step explanation:
The reciprocal of a number is the number that the initial number can be multiplied by to get the product 1. Therefore, the reciprocal of .8 is 1.25, since those two factors when multiplied together created a product of 1, or 1.000. The easiest way to find a reciprocal is to write the initial number as a fraction ( in this case, 8/10) and then "flip it" (making it 10/8) and simplifying. (10/8 = 1 and 1/4, or 1.25)
How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.
ANSWER PLS
thank you so much!
beep and peeb and bee and pee
Answer:
6
Step-by-step explanation:
the one E doesn't count so 3! is 3*2*1 which is 6
PLZ MARK ME BRAINLIEST
On January 3rd, the Earth is 147,500,000 kilometers away from the Sun. On July 4th, the Earth is 152,500,000 kilometers away from the Sun. The sun has a radius of about 865,000 kilometers.
Could the Earth’s orbit be a circle with some point in the Sun as its center? Explain your reasoning
Answer:
no
Step-by-step explanation:
yes
Problem
Justin's rice ball recipe uses 100100100 grams of rice to make 111 rice ball. Justin has 700700700 grams of rice.
How many rice balls can Justin make with 700700700 grams of rice?
rice balls
Answer:
777
join my zoom meeting no audio no camera just chat
Step-by-step explanation:
Pass code: G0qkw3
ID: 448251
Numeric Passcode: 756933
Answer:
777 rice balls
Step-by-step explanation:
¡¡ANSWER MY QUESTION FIRST¡¡
Can you help me with these questions, please?
Answer:
∠5 = 70°
∠8 = 130°
Step-by-step explanation:
Since ∠5 and ∠1 are equal they will both equal 70°
Since ∠6 and ∠8 are also equal they will both equal 130°
Hope this helps
Plz mark brainliest
Plz anwer i give 30 points or 20
Answer:
x = -6
hope this helps!
Answer:
the answer should be letter B your welcome ;)
Step-by-step explanation:
Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.
Answer:
x = 28
Step-by-step explanation:
Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.
Thus,
<AOD = <BOC
<AOD = 152°
<BOC = 3x + x + (x + 12) (angle addition postulate)
<BOC = 5x + 12
Since <AOD = <BOC, therefore,
152° = 5x + 12 (substitution)
152 - 12 = 5x (subtraction property of equality)
140 = 5x
140/5 = x (division property of equality)
28 = x
x = 28
In the expression 3x2y + 4x – 5x2y, are the terms 3x2y and –5x2y like terms? Explain by providing support for your answer.
Answer:
yes
Step-by-step explanation:
These are like terms because they have the same variables and powers. The coefficients do not need to match for it to be considered a like term.
Answer:
Sample Response: Yes, they are like terms because like terms have the same variables raised to the same powers. Both terms contain an x and y variable with the x variable squared.
Step-by-step explanation:
what is the complex conjugate of 6+2i
What is 1.7x=? When x=5
Answer:
8.5
Step-by-step explanation:
1.7*5=8.5
Answer:
Step-by-step explanation:
a = answer
1.7x = a
1.7(5) = a
8.5 = a
which of these numbers has the most factors? 6:
17:
25:
36:
Answer:
36
Step-by-step explanation:
y=-3x + 6
What is the slope?
And what would the points be on a graph
A man drove 13 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?
Answer:
13.93 miles
Step-by-step explanation:
From the given information:
we are being told that a drove 13 miles towards east from home.
and make a left turn due north, thus travel 5 miles.
The objective is to find the man's distance from his starting point(i.e. his home) to his place of work.
Let the horizontal base distance be x = adjacent side = 13 miles
Let the vertical distance be y = opposite side = 5 miles
Let the slant distance be z = hypotenuse side = ??? (unknown)
Therefore, using the pythagoras theorem.
(hypotenuse)² = (opposite)² + (adjacent)²
z² = y² + x²
z² = 5² + 13²
z² = 25 + 169
z² = 194
[tex]z = \sqrt{194}[/tex]
z = 13.93 miles
TIME REMAINING 01:37:16 Absalom states that 0 is a rational number. Which is a correct explanation for this statement? The number 0 is a whole number, which is part of the rational numbers. The number 0 is the center of the number line. The number 0 is a natural number, which is part of the rational numbers. The number 0 cannot be written as a fraction.
Answer:
The number 0 is a whole number, which is part of the rational numbers, is correct.
Step-by-step explanation:
Absalom states that 0 is a rational number.
As the whole numbers are 0,1,2,3,... which is starting from 0, so the stated number 0 is a part of the whole number.
As all the whole number are rational numbers, so 0 is a rational number
Hence, the explanation (i) which is,
The number 0 is a whole number, which is part of the rational numbers, is correct.
The naturals numbers are 1,2,3,... which starts from 1, so 0 is not a part of the natural number, and the number 0 can be written as a fraction like [tex]0=\frac {0}{1}[/tex].
Hence, statement (ii) The number 0 is a natural number, which is part of the rational numbers as well as the statement (iii) The number 0 cannot be written as a fraction, are wrong.
Answer:
The number 0 is a whole number, which is part of the rational numbers.
Step-by-step explanation:
2 (x-1 ) = x + 4 find x
Answer:
the answer it's x=6 i think
I have to do the “got it”!!! Please help
Answer:
Substitute
Step-by-step explanation:
Answer:
JKM = 36
Step-by-step explanation:
JKL = 72
KM bisects JKL - cuts into two equal parts
72 / 2 = 36
JKM = 36
Please let me know if I'm wrong!
Which expression is equivalent to 25x2 + x
Answer:
50+x
Step-by-step explanation:
if you simplify, 25*2 is 50.
50+x
Define the term PROPORTIONAL RELATIONSHIP.
Answer:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality". Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
Find the value of x so that line m is parallel to line l.
Explanation:
The angles shown are same side interior angles.
For line L to be parallel to line M, the same side interior angles must be supplementary, or they must add to 180.
28+(3x+14) = 180
28+3x+14 = 180
3x+42 = 180
3x = 180-42
3x = 138
x = 138/3
x = 46
Step-by-step explanation:
the angles are same side interior angles and because of that they are supplementary and add up to 180°
(3x + 14) + 28 = 180°
3x + 14 + 28 = 180
3x + 42=180
3x=180-42
3x= 138
divide by 3
x = 46