Answer:
[tex]d = 2\sqrt{145}[/tex]
Step-by-step explanation:
Use the Distance Formula to help you determine the distance between the two following points ( [tex](-12, 1)[/tex] and [tex](12, -1)[/tex] ):
-Distance Formula:
[tex]d = \sqrt{(x_{2} - x_{1}) ^2 + (y_{2} - y_{1})^2}[/tex]
(where [tex]( x_{1}, y_{1})[/tex] represents the first point, and [tex](x_{2}, y_{2})[/tex] represents the second point)
-Apply the following points to the equation:
[tex]d = \sqrt{(12 + 12) ^2 + (-1 - 1)^2}[/tex]
[tex]( x_{1}, y_{1})[/tex] = [tex](-12, 1)[/tex]
[tex](x_{2}, y_{2})[/tex] = [tex](12, -1)[/tex]
-Solve the equation:
[tex]d = \sqrt{(12 + 12) ^2 + (-1 - 1)^2}[/tex]
[tex]d = \sqrt{(24)^2 + (-2)^2}[/tex]
[tex]d = \sqrt{576 + 4}[/tex]
[tex]d = \sqrt{580}[/tex]
[tex]d = 2\sqrt{145}[/tex]
Therefore, the distance is [tex]2\sqrt{145}[/tex].
In the figure below, points A, E, F, and C lie in plane X.
Points B and D do not lie in plane X.
For each part below, fill in the blanks to write a true statement.
B
(a) FC and
are distinct lines that intersect.
A.
X
C
E
F
(b) B. I, and I are distinct points that are collinear.
(c) Another name for plane X is plane I.
(d) E, I, I, and I are distinct points that are coplanar.
Answer:
a) FC ←→ and BD ←→ are distinct lines that intersect.
b) B , C and D are distinct points that are collinear.
c) Another name for plane [tex]X[/tex] is plane AEF.
d) E , A , F and C are distinct points that are coplanar.
Step-by-step explanation:
The first step to solve this question is to look carefully at the picture.
For a) :
We can see that the line FC and the line BD intersect at the point C.
We can write :
a) FC ←→ and BD ←→ are distinct lines that intersect (we can see more lines that intersect with FC ←→ in the picture such as AC ←→ or AE ←→).
For b) :
We can see that the line BD ←→ passes through the points B , C and D (B , C and D are collinear points).
We can write :
b) B , C and D are distinct points that are collinear.
For c) :
We can name any plane using three points which are contain in the plane but this three points must not be collinear points.
We can name the plane [tex]X[/tex] using the points A , E and F (this is a possible solution).
We can write :
c) Another name for plane [tex]X[/tex] is plane AEF.
Finally, for d) :
Two or more points are coplanar wherever they belong to the same plane.
In the picture, the points A , E , F and C belong to the plane [tex]X[/tex].
We can write :
d) E , A , F and C are distinct points that are coplanar.
Find three equivalent fractions for 2/3 by multiplying by 3/3, 5/5 and 6/6. What property of multiplication do we use to find equivalent fractions?
The equivalent fractions for 2/3 are 6/9, 10/15, and 12/18 because multiplicative identity is a feature of multiplication that is used to determine equivalent fractions.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
2/3 by multiplying by 3/3, 5/5, and 6/6.
= (2/3)(3/3)
= 6/9
= (2/3)(5/5)
= 10/15
= (2/3)(6/6)
= 12/18
The multiplicative identity is a feature of multiplication that is used to determine equivalent fractions.
The numerator and denominator of a fraction are multiplied by the same number for determining equivalent fractions.
Thus, the equivalent fractions for 2/3 are 6/9, 10/15, and 12/18 because multiplicative identity is a feature of multiplication that is used to determine equivalent fractions.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
Find the remainder when x4+x3-2x2+x+1 is divided by x-1
(a)1
(b)5
(c)2
(d)3
Answer:
For example, if you want to find printable activities for third grade, click the "3" ... For each clock eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).
Step-by-step explanation:
what is the answer to -3x+5= -16
Answer: 7
Step-by-step explanation: First you subtract 5 from both sides to single out the -3x. Then you will have -3x = -21. You will then divide both sides by negative three because you want to single out the x. After that, you will have the answer of x = 7
Answer:
x = 7
Step-by-step explanation:
-3x+5=-16
-5 -5
-3x=-21
-3x/3 = -21/-3
x=7
hey how do i solve this problem i’m clueless and don’t know how to do it. if you can could you explain it please?
(6g^4h^5)^2. We have to square each term individually. Remember, squaring an exponent is just multiplying the exponents together.
6^2 = 36
(g^4)^2 = g^8
(h^5)^2= h^10
The final answer: 36g^8h^10
How do I find the domain and range of a graph?
The domain is the x-axis and the range is the y-axis.
To find the domain, you measure or count the widest part of this oval horizontally. So that is 3 units to the right of 0 and 3 units to the left of 0. I counted it exactly on the axis because that is the widest part of the oval.
To find the range, you again count or measure the widest part of the oval vertically. So that is 4 units above 0 and 4 units below 0.
Final Answer
D: -3 ≤ x ≤ 3
R: -4 ≤ x ≤4
Evaluate the following expression for x = 4.
1+3(x-1)-2x
Answer:
2
Step-by-step explanation:
1+3(x-1)-2x
Substitute the value of x into the equation:
1 + 3(4-1) -2 (4)
1 + 3(3)- 8
1 + 9 - 8
2
list out the problem of solution of communication in Nepal
Answer:
the problem of solution of communication in Nepal are
Step-by-step explanation:
Usage of modern wireless and satellite based networking system keeping a backup networking system for the cases of nature disaster6(1 + 5n) − 6n = 174
Answer:
N=7
Step-by-step explanation:
1. Distribute the 6 into the parentheses
6+30n-6n=174
2.combine like terms
6+24n=174
3. Subtract 6 on both sides
24n=168
4.now divide
24/24 cancels out 24/168 is what 7 soooo
n=7
Round 45.396 to the nearest tenth
Answer:
Step-by-step explanation:
45.396
tenth place is 3
on the right of 3 is 9. 9 is higher than 5. Therefore 3 becomes a 4.
the answer is 45.4
-3(4a + 3) + 4(6x + 1) = 43
Answer:
-3(4a+3)+4(6x+1)
12a+(-9)+24x+5
12a-4+24x
Step-by-step explanation:
Because you can't add 12a & 24x bc they're different variables ( a & x ) & -9+5 you always minus it and it's going to be a negative because -9 is bigger than 5
Jill sold half her comics and then bought sixteen more. She now has 36. How many did she begin.
Answer: 10 I think
Step-by-step explanation: Jill sold half and you dont know how much it is you know that now she has 36, but before she bought 16 so 36 - 16 = 20 but she sold half
Answer:10 magazines
Step-by-step explanation:
36-16/2=m
20/2=m
10=m. m=magazine
A little help here thank you!!!
Answer:
∠B = 82°
Step-by-step explanation:
(see attached for reference)
recall the property that an exterior angle of a triangle is equal to the sum of its two remote interior angles.
in our case, the exterior angle is obtuse ∠A = 143°
the two remote interior angles are ∠C and ∠B
hence according to our definition above:
143° = ∠C + ∠B (we are given that ∠C =61°)
hence
143° = 61° + ∠B
143° - 61° = ∠B
∠B = 82°
A horizontal line has points D, B, C. A line extends vertically from point B to point A.
Given that Ray B A bisects ∠DBC, which statement must be true?
a) m∠ABD = m∠ABC
b) AB ≅ BC
c) B is the midpoint of DC.
d) m∠DBC = 90°
Answer:
a) m∠ABD = m∠ABC
Step-by-step explanation:
The meaning of angle bisector is that each of the created angles is congruent to the other:
m∠ABD = m∠ABC
Answer:
A: m∠ABD = m∠ABC
Find the midpoint of the line segment joining the points (-1, -2) and (-3, 13).
The midpoint is
(Simplify your answer. Type an ordered pair)
midpoint =(X1+X2)/2 ,(Y1+Y2)/2
therefore=
( -1+-3)/2, (-2+13)/2
=(-4/2,11/2)
=(-2,5.5)
Let f(x)=2x-5 and g(x)=x^2
Perform the function operation (f-g)(x)
Answer:
2x - 5 - x²
Step-by-step explanation:
note (f - g)(x) = f(x) - g(x), thus
f(x) - g(x)
= 2x - 5 - x²
What is the solution to this equation?
16x- 8x-12 = 24 + 20
O A. x = 5
O B. x=7
O c. x = 4
O D. x = 6
Answer:
x=7
Step-by-step explanation:
16x-8x-12= 24+20
(16x-8x)-12= 24 +20
8x - 12= 24 +20
8x = 24+ 20 + 12
8x = 54
x = 54/8
x= 7
Answer:
x=7
Step-by-step explanation:
1. combine like terms
2. isolate x
3. divide by 8 to get x
On a number line, suppose point E has a coordinate of -2, and EG = 13. What are the possible coordinates of point G
if f(x) = 5x -1 find f(1)
f(1)= 5(1)-1
f(1)= 5-1
f(1)= 4
Answer: 4
write an equation to represent m varies inversely as the square of q ?
Answer:
m = [tex]\frac{k}{q^2}[/tex]
Step-by-step explanation:
Given m varies inversely as q² then the equation relating them is
m = [tex]\frac{k}{q^2}[/tex] ← k is the constant of variation
1. There are 4 quarters in 1 dollar.
a) Shades 1/2 of a dollar.
b) How many cents is 1/2 of a
dollar?
-3x + y = 22
-12x – 10y=-10
Answer:
x = -5, y = 7Step-by-step explanation:
-3x + y = 22 ⇒ y = 3x + 22
-12x - 10y = -10 and y = 3x + 22
-12x - 10(3x + 22) = -10
-12x - 30x - 220 = -10
+220 +220
- 42x = 210
÷(-42) ÷(-42)
x = -5
y = 3(-5) + 22 = -15 + 22 = 7
Write an equation of the parabola in intercept form that passes through (-2,0.05) with x-intercepts of -7 and -3.
Answer:
y = 0.01(x +7)(x +3)
Step-by-step explanation:
For intercepts p and q, the equation will be ...
y = a(x -p)(x -q)
For the given intercepts, the equation is ...
y = a(x +7)(x +3)
We can find the value of 'a' by using the given point:
0.05 = a(-2+7)(-2+3) = 5a
0.01 = a . . . . divide by 5
The complete equation is ...
y = 0.01(x +7)(x +3)
I need help with this solving equations X + 9 = -16
Answer:
Step-by-step explanation:
x + 9 = -16
Subtract 9 form both sides
x + 9 - 9 = - 16 - 9
x = -25
Answer:
X= -25
Step-by-step explanation:
Subtract 9 from both sides.
The midpoint of segment AB is (1,4). The coordinates of point A are (-2, -3). Find the coordinates of point B.
A)
(3,7)
B)
(4, 11)
(4, -10)
D)
(-5, -10)
Answer:
B) (4,11)
Step-by-step explanation:
Plot the points and count how far point A is to the midpoint.The rise is 7 and run is 3 so count 3 right and 7 up from point AB to get B.
Which statement describes a disadvantage of Marnie paying a bill by telephone with a credit card or a debit card? Marnie will not have to find a stamp and a mailbox. Marnie will have to share her card account information. Marnie’s bill is paid immediately. Marnie may be eligible for a discount
Answer:
The Answer is B Marnie will have to share her card account information.
Plus I took this test so
Answer:
B) Marnie will have to share her card account information.
Step-by-step explanation:
I took the test on Edge
Find the sum of 4x^2
-4x + 10 and 2x^2+ 5x – 8.
Answer:
6x2+x+2
Step-by-step explanation:
Mark Brainliest?
True Or False The Solution to an equation is the ONE number that makes it true.
Answer:
True.
Step-by-step explanation: If you substitute the solution into the original equation, it is the only number that will make the equation balanced or have an equal value on both sides of the equals sign.
Miguel did the following math problem: 65 ∙ 64 = 369. Which of the following is a true statement? 1.He is correct. 2.He is incorrect because he should have subtracted the exponents. 3.He is incorrect because he should have multiplied the exponents. 4.He is incorrect because he multiplied the bases.
Answer:
He is incorrect.
Step-by-step explanation:
The correct answer is 4,160.
Answer:
3. He is incorrect because he should have multiplied the exponents.
Step-by-step explanation:
6∧5 × 6∧4 = 369 Incorrect
Correct: 6∧5 = 7776
6∧4 = 1296
7776 × 1296 = 10,077,696
1. He is not correct, therefore the first answer is wrong.
2. You do not subtract the exponents unless one of the exponents is negative and you have the same bases. You have the same bases in this equation, however, neither one of them are negative. Therefore, the second answer is wrong.
3. The third answer is correct because if you were adding the two terms together then you would add the exponents together then multiply the base as many times as needed. However, since you are multiplying the two terms together, you also need to multiply the exponents together. From there, you then multiply the terms and get your answer.
4. The fourth answer is also incorrect because you need to multiply the bases together in order to get a correct answer.
I hope this helps!
what is the gradient of the line 3x+y=4
Answer:
The slope is - 3Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
The equation is 3x+y = 4
To find the slope of the line we must first write the equation in the general form above
Make y the subject
That's
y = - 3x + 4
Comparing with the general equation above
Slope of the line = - 3
Hope this helps you