The required coordinate of b is given as (-7, 4 ).
Given that,
To determine the coordinate of b if M is the midpoint of AB. A(1, -4) and M(-3 ,0).
What is the midpoint?The midpoint is that point the line whose distance from both the ends of the line is equal.
Here,
We have given two coordinates one of the endpoints of AB and the other is midpoint M i.e. A(1, -4) and M(-3, 0).
Definition of midpoint says,
x = [x₁ + x₂] / 2 ; y = [y₁ + y₂] / 2
x₁ = 1, x = -3 , y₁ = -4, y = 0
now,
-3 = [1 + x₂] / 2 ; 0 = [-4 + y₂] / 2
x₂ = -6 - 1 ; y₂ = 0 + 4
x₂ = -7 : y₂ = 4
Thus, the required coordinate of b is given as (-7, 4 ).
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How do you bisect an angle using compass and straightedge moves
Step-by-step explanation:
Open your compass to any radius r, and construct arc (K, r) intersecting the two sides of angle K at A and B.Open your compass to any radius r, and construct arc (K, r) intersecting the two sides of angle K at A and B.Use any radius s to construct arc (A, s) and arc (B, s) that intersect each other at point Z. Note that you must choose a radius s that's long enough for the two arcs to intersect.Open your compass to any radius r, and construct arc (K, r) intersecting the two sides of angle K at A and B.Use any radius s to construct arc (A, s) and arc (B, s) that intersect each other at point Z. Note that you must choose a radius s that's long enough for the two arcs to intersect.Draw line KZ and you're done.An eigenvalue of a is =2 find a basis for the corresponding eigenspace. what is the dimension of this eigenspace?
Applying induction to the size of the matrix, we can demonstrate that the eigenvalues of Ak are k for every positive integer k if A is a square matrix with eigenvalues. In light of this, A2's eigenvalues are exactly 2. (the squares of the eigenvalues of A).
What is an eigenvalue ?When a linear transformation is applied to a nonzero vector in linear algebra, the vector's eigenvector, also known as its characteristic vector, changes by a maximum scalar amount. The eigenvector is scaled by the associated eigenvalue, which is frequently represented by the symbol λ.
It is conceivable for a matrix to contain an eigenvalue of zero.
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The length of the rectangle is three times its width. If the perimeter of the rectangle is one hundred and sixty meters, find the length and width of the rectangle. Enter two integers
Answer:
Please give brainliest if it applies!
w = 20m
l = 60m
Step-by-step explanation:
P = 2l + 2w
We know the perimeter = 160 and we know that l = 3w, so write what we know and solve for w.
P = 2l x 2w
160 = 2(3w) + 2w
160 = 6w + 2w
160 = 8w
Divide both sides by 8
20 = w
Now we can figure out the length, which is 3(w) or 3 x 20 = 60
Find the percent of the given number. 10 % of 180
Answer:
18
Step-by-step explanation:
To find 10% of 180:
multiply 180 with 10 then divide it by 100
180×10÷100 = 18
Find the median of each data set. 11 23 15 17 21 18 21
If PL=10 and PK=8, find the length KN.
Answer:
4.5
Step-by-step explanation:
To answer the problem:
PK * PN = PL^2
Let PN = x
8x = 10^2
8x = 100
x = 100/8
x = 12.5
KN = PN - PK
12.5 - 8 = 4.5 would be the length of segment KN.
how to i solve 2/15
Answer:
2/15 = 2/
15
≅ 0.1333333
Step-by-step explanation:
Rules for expressions with fractions:
Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.
Mixed numerals (mixed numbers or fractions) keep one space between the integer and
fraction and use a forward slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : 1/3.
Answer:
for a decimal its 0.13 for a percent its 13.33%
Step-by-step explanation:
Given p(x)= −2(x−5) 2 + 4, what is the value of p(4)?
p(4)= 8
because
-2(x-5)2+4
-2(4-5)2+4
-8+10+2+4
2+2+4=8
Consider the expression (x+7), do the following.
(a) Use the distributive property twice to show that
this expression is equivalent to x² +14x+49.
(b) Test the equivalency by finding the value
(x+7) and x² +14x+49 when x= 3.
(x+7)²
x² +14x+49
Solve each system by elimination.
3u+3v = 15 , -2u+3v = -5
By elimination, the solution of the system of equations, 3u + 3v = 15 and -2u + 3v = -5, is (u , v) = (4 , 1).
A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.
There are three methods that can be used to solve system of equations.
1. Elimination
2. Substitution
3. Graphing
Using the elimination method, given two equations in u and v, a variable should be eliminated by adding/subtracting the two equations.
Subtracting the two equations will eliminate the variable v.
3u + 3v = 15 (equation 1)
-2u + 3v = -5 (equation 2)
5u = 20
u = 4
Substitute the value of u to any of the two equations and solve for v.
3u + 3v = 15 (equation 1)
3(4) + 3v = 15
3v = 15 -12
3v = 3
v = 1
Hence, the solution of the system of equations is (u , v) = (4 , 1).
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Suppose you have an outdoor pool measuring 25 ft by 10ft . You want to add a cement walkway around the pool. If the walkway will be 1 ft thick and you have 304 ft³ of cement, how wide should the walkway be?
The area covered by the pool and the cement walkway is 304 square feet. The width of the walkway would be 5 feet
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Let x be represent the width of the walkway.
The pool measures 25 ft by 10ft . If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway = 25+ x + x = 25 + 2x
The total width of the pool and the walkway = 10 + x + x = 10 + 2x
The area covered by the pool and the cement walkway is 304 square feet. This means that;
(25 + 2x)(10 + 2x) = 304
250 + 50x + 20x + 4x^2 = 304
4x^2 + 70x + 250 - 304 = 0
4x^2 + 70x - 54 = 0
x(x + 20) - 5(x + 20) = 0
(x - 5)(x + 20) = 0
x = 5 or x = - 20
Thus The width cannot be negative.
Therefore, the width of the walkway is 5 feet.
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Factor by grouping (sometimes called the ac-method).
10x²-3x-4
First, choose a form with appropriate signs.
Then, fill in the blanks with numbers to be used for grouping.
Finally, show the factorization.
Form:
O
O
10x + 0x + 0*-4
2
10x +
0*- 0*-4
2
10x
10x²
O 10x
x +
- 0*- 0x-4
Factorization:
0
X
The factorization of the polynomial 10x² - 3x - 4 by grouping is (2x + 1)(5x - 4)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A polynomial is an expression involving addition, subtraction and multiplication of variables. A quadratic equation is a polynomial of degree two.
Given the polynomial:
10x² - 3x - 4
= 10x² - 8x + 5x - 4
= 2x(5x - 4) + 1(5x - 4)
= (2x + 1)(5x - 4)
The factorization of the polynomial 10x² - 3x - 4 by grouping is (2x + 1)(5x - 4)
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Solve each equation. Check your answers. 0.2(x+8)-3.4=2.4
The solution to given equation 0.2(x + 8) - 3.4 = 2.4 is x = 21
In this question, we have been given an equation 0.2(x+8)-3.4=2.4
We need to solve given equation.
0.2(x + 8) - 3.4 = 2.4
0.2x + 1.6 - 3.4 = 2.4
0.2x - 1.8 = 2.4
0.2x = 2.4 + 1.8
0.2x = 4.2
x = 21
We need to check above solution.
Substitute x = 21 in LHS of given equation.
LHS
= 0.2(21 + 8) - 3.4
= 0.2(29) - 3.4
= 5.8 - 3.4
= 2.4
= RHS
Therefore, the solution to given equation 0.2(x + 8) - 3.4 = 2.4 is x = 21
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Find the value of x
Answer:
x=43 degrees
Step-by-step explanation:
Phoebe is reading a novel for her monthly book club. the novel is 368 pages long. so far, she has read 53 pages. phoebe plans to read 35 pages a day. write an equation that represented, the number of days it will take phoebe to finish the novel
The equation that represent the number of days it will take phoebe to finish the novel is: x= number of pages left to be read / pages to be read per day
Information about the problem:
novel’s pages = 368read pages = 53pages to be read per day = 35 pages/daynumber of days it will take phoebe to finish the novel = x ?To solve this problem, we have to write the equation in order to calculate (x) the number of days it will take phoebe to finish the novel with the given information:
number of pages left to be read = novel’s pages - read pages
number of pages left to be read = 368 – 53
number of pages left to be read = 315 pages
Knowing the number of pages left to be read we can write the following equation:
x = number of pages left to be read / pages to be read per day
x = 315 pages /35 pages/day
x = 9 days
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
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solve for u and simplify your answer. using reciprocals
-23 = -3/2 u
U = 3/46 is reciprocal of the solution of equation .
What is reciprocal in math?
The definition of reciprocal in mathematics is the inverse of a value or a number. If n is a real number, then 1/n will be n's reciprocal. Therefore, we must change the number to its upside-down form. For instance, 1 divided by 9 is the reciprocal of 9, or 1/9.Making up or coming from paired crosses where the sort that provides the female parent for the first cross also provides the male parent for the second cross, and vice versa.-23 = -3/2 u
-1/23 = -2/3u
cross multiply
-3 = -46 u
u = -3/-46
u = 3/46
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I need this answered please
simplify 11 root square 8
11) √8
Answer: 2.82842712 or 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Find the nth term rule for the arithmetic sequence with
a7 = -17 and a25=-71
Answer:
an = -3n + 4
Step-by-step explanation:
My dad left to get milk and never came back!! when will he come back?
Answer:
yes he will come back eventually just wait or you can goo look for him
A delicatessen delivers a gigantic sandwich for the members of a jury who have been unable to
reach a verdict. The sandwich of bread, meat and cheese costs 50, 60 per pound for the bread, $3 per
pound for the meat, and $1.50 per pound for the cheese. A pound of bread supplies 10g of prote
pound of meat supplies 50g of protein, and a pound of cheese supplies 40g of protein. If each member
of the jury eats a pound of sandwich, receives 30g of protein, and pays $1.50 ($18 total), how much
each ingredient went into the sandwich?
21790 hello brodi you ok
For this equation you have to solve for y.
6x-3y=9
The problems due tommorow. Pls help :,(
i feel like i should know this but i’m confused soo
Answer:
5
Step-by-step explanation:
Vertical Angle Theorem
30=6x
5=x
Answer:
x=5
Step-by-step explanation:
Hello! No worries, Geometry is very confusing.
There are several proofs and theorems to use when trying to prove an angle size. In this picture, we see two lines intersecting, forming an intersection point with two similar looking angles.
With the Vertical Angles Theorem, it explains that when two lines intersect such as shown here, the angle on the vertical side of the original angle are both equal to the same number and is identical. Similarly, using this theorem we know that the unnamed angles (the big ones) are identical too, as they are vertical sides of each other.
Now we know the angle 6x and 30 degrees are equal to each other. So how do we solve x?
We can solve for x by making it equal to each other, signaling that you understand the Vertical Angle Theorem and stating that those two angles are equal to each other.
6x=30 Divide by 6 both sides to isolate the x varianle
x=5
Therefore, x is equal to 5.
In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel?
Responses
c−a/b=−d/e
c−a/b*d/e=−1
c−a/b*−d/e=−1
c−a/b=d/e
The equation that could be used to prove the lines are parallel is: D. (c - a)/b = d/e
What are Parallel Lines?Parallel lines are lines that do not converge at any point and have the same slope.
Slope (m) = change in y / change in x
Slope of the first line = (c - a)/0 - b
Slope of the first line = (c - a)/b
Slope of the second line = (0 - (-d))/(e - 0)
Slope of the second line = d/e
Thus, if both line are parallel, then (c - a)/b = d/e. This is because parallel lines have the same slope.
The equation is: D. (c - a)/b = d/e
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Elsie bought 3.00 pounds of pecans for $9.60. Her friend buys 4.50 pounds of walnuts for $15.75. Which is more expensive per pound? By how much?
how to Share $490 in the ratio of 4:3.
two parts are $280 and $210 when divided $490 in the ratio of 4:3.
WHAT IS RATIO?In mathematics, a ratio illustrates how many times one number is present in another. For instance, the ratio of oranges to lemons in a fruit plate would be eight to six if there were eight oranges and six lemons. Oranges make up 8:14 of the total fruit, whereas lemons make up 6:8 of the total fruit.
CALCULATIONdividing $ 490 in the ratio 4:3
490 * (4/(4+3)) = 280 _______________(1)
490 *(3/(4+3)) = 210________________(2)
so the two parts are $280 and $210
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Solve for h.
11h > -2(-5h + 19)
Write your answer with h first, followed by an inequality symbol.
Answer: [tex]h > -38[/tex]
Step-by-step explanation:
11h > -2(-5h +19)
Expand = [tex]-2\left(-5h\right)+\left(-2\right)\cdot \:19[/tex] = [tex]2\cdot \:5h-2\cdot \:19[/tex]
Simplify 2 times 5h-2 times 19: 10h-38
[tex]11h-10h > 10h-38-10h[/tex]
Simplify=[tex]h > -38[/tex]
What WHOLE number is [tex]\sqrt40[/tex] between?
Answer:
3) 21
4) between 6 and 7
5) 14
6) 7
7) 5
Step-by-step explanation:
3) √441 = 21
4) We write √40 to be the square root of 40, and can investigate between which two whole numbers it lies. The number 40 lies between 36 and 49 hence √40 lies between 6 and 7.
5) √184 to whole number
= 13.6 = 14
∴ √184 is equal to 14 round to a whole number
6) √45 to whole number is 7
=6.7 = 7
7) √27 to whole number is 5
=5.2 = 5
Write an equation of each line.slope =3 ; through (1,5)
The equation of the line in point-slope form, with slope equal to 3 and passing through the point located at (1 , 5), is (y - 5) = 3(x - 1).
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Using the point slope form, plug in the values to set up the equation.
(y - y1) = m(x - x1)
where m = 3 and (x1 , y1) = (1 , 5)
(y - 5) = 3(x - 1)
In slope-intercept form, the equation of the line is:
(y - 5) = 3(x - 1)
y - 5 = 3x - 3
y = 3x + 2
In standard form, the equation of the line is:
y = 3x + 2
3x - y = -2
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Blake is setting up his tent at a renaissance fair. If the tent is 8 feet tall, and the tether can be staked no more than two feet from the tent, how long should the tether be?
The tether should be 8.5 feet long.
In this question,
Blake is setting up his tent at a renaissance fair.
The tent is 8 feet tall, and the tether can be staked no more than two feet from the tent.
The stake, height and tether length of the tent form a right angle triangle where the tether length is the hypotenuse.
Applying Pythagoras theorem:
length² = height² + (stake distance)²
length = √(8² + 2²)
length = 8.5 feet
Therefore, the tether should be 8.5 feet long
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