Answer: The equation for the perpendicular bisector of line segment xy is .
Explanation:
It is given that the line segment xy has endpoints x(5,7) and y(-3,3).
The bisector divides the line segment xy in two equal parts, so the bisector must be passing through the midpoint of xy.
Midpoint of two points (x_1,y_1) and (x_2,y_2) is calculated as,
Midpoint of xy is,
So, the perpendicular bisector must be passing through the point (1,5).
The slope of line passing through the point (x_1,y_1) and (x_2,y_2) is calculated as,
Slope of line segment is . Therefore the slope of perpendicular bisector is -2 because the the product of slopes of two perpendicular lines is always -1.
The line passing through the point (x_1,y_1) with slope m is defined as,
Bisector passing through the point (1,5) with slope 2.
Therefore, the equation for the perpendicular bisector of line segment xy is .
y(x-(9-4y)) for x=4 and y=2
Answer:
6
Step-by-step explanation:
( 2 ) ( 4 - ( 9 - 4 ( 2 )))
2 ( 4- ( 9-8 ))
2 ( 4 - ( 1 ))
2 ( 3 )
6
Answer:
6Step-by-step explanation:
2(4-(9-4(2) )2 ( 4- (9-8)2(4 - 1)2(3)6-12/3*(-8+(-4)²-6)+2
122 right?
Answer:
-6
Step-by-step explanation:
[tex] - \frac{12}{3} \times ( - 8 + ( - 4 {)}^{2} - 6) + 2[/tex]
[tex] (-4)² = 4²= 4×4 =16 [/tex]
[tex] - \frac{12}{3} \times ( - 8 +16 - 6) + 2[/tex]
[tex] -8 + 16-6= -14 + 16 = 2[/tex]
[tex] - 4( - 8 + 16 - 6) + 2[/tex]
[tex] - 4 \times 2 + 2[/tex]
[tex] - 8 + 2[/tex]
[tex] = - 6[/tex]
work out b(4½-3⅔)+1⅔
Answer:
2 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Change the mixed numbers to improper fractions
([tex]\frac{9}{2}[/tex] - [tex]\frac{11}{3}[/tex] ) + [tex]\frac{5}{3}[/tex] ← the LCM of 2 and 3 is 6
= [tex]\frac{9(3)}{2(3)}[/tex] - [tex]\frac{11(2)}{3(2)}[/tex] + [tex]\frac{5(2)}{3(2)}[/tex]
= [tex]\frac{27}{6}[/tex] - [tex]\frac{22}{6}[/tex] + [tex]\frac{10}{6}[/tex]
= [tex]\frac{5}{6}[/tex] + [tex]\frac{10}{6}[/tex]
= [tex]\frac{15}{6}[/tex]
= [tex]\frac{5}{2}[/tex]
= 2 [tex]\frac{1}{2}[/tex]
someone help with this, asap ty.
Answer:
Still C br-uh
Step-by-step explanation:
Somebody help me on A. And. B. Pleaseeee
Answer:
a. dbc = 66, ABC = 132
b. abd = 52, dbc= 52
Step-by-step explanation:
just remember that bisects means that the angles on either side of the middle line are equal. so for a, dbc = abd and ABC = 2x 66
for b, abd and dbc are equal, so both of them are just 104 divide by two
Sandra has 4 math tests this marking period. She recieved 90%, 87%, and 92% on the first 3. with is the minimal score she needs on her last test in order to average at least 90% in math class?
The minim she can get for a score is a 90%
Which unit of measure provides the MOST accuracy when determining the time of a runner in the
100-meter race?
a. hour c. second
b. minute d. hundreth of a secon
Answer: hundreth of a second
Step-by-step explanation: it is most accurate unlike some of the larger units that could be used
Find the midpoint of the segment with the following endpoints.
(4,7) and (10,3)
Answer:
The midpoint is (7,5)
Step-by-step explanation:
I need to know what is the fraction, 2/5 as a decimal?
Answer:
0.4
Step-by-step explanation:
Answer:
0.4
Step-by-step explanation:
Which Expression is equal to 632?
A. 2⁴(3 x 5³ + 2²)
B. 2³(3 x 5² + 2²)
C. 2³ (3 x 5² + 2⁵)
D. 2⁴(3 x 5⁵ + 2¹⁶)
Plz help meee!
Answer:
B. 2³(3 x 5² + 2²)
Step-by-step explanation:
2³(3 x 5² + 2²)
Step 1. Simplify the exponents
8(3 x 25 + 4)
Step 2. Multiply 3 and 25
8(75 + 4)
Step 3. Add 75 and 4
8(79)
Step 4. Multiply
632
Answer:
Option B. 2³(3 x 5² + 2²) is correct
Step-by-step explanation:
2³(3 x 5² + 2²)
First of all multiply the exponents
8×(3×25+4)
Then do the multiplication of 3 and 25
8×(75+4)
Now add the following numbers in the bracket
8×(79)
And the last multiply the following numbers
8×79
632
[Hence, the expression 2³(3 x 5² + 2²) is equal to 632. ]
Simplify the expression
Answer:
Step-by-step explanation:
It might be wrong but i beieve that it is 4 to the 5th multiplied 4 to the 2nd
Answer:
[tex] {8}^{10} \times {8}^{4} \\ = {8}^{14} \\ thank \: you[/tex]
Which expression is most easily solved without the use of a calculator?
(5.6 – 2.9) × 2.2
1.2 × (8.4 – 6.4)
(8.7 – 1) × 5.4
0.9 × (7.8 – 3.9)
im timed
Answer:
1.2 x (8.4-6.4)
Step-by-step explanation:
1.2 x 2 = 2.4
Answer:
1.2 × (8.4 – 6.4)
Step-by-step explanation:
8.4 - 6.4 = 2
2 x 1.2 = 2.4
This one seems the easiest to multiplying into and subtracting than the others.
This one is very hard for me
15x + 57 ≥ 129
15x ≥ 129 - 57
15x ≥ 72
x ≥ 24/5
x ≥ 4.8
Answer:
[tex]x \geqslant 4.8[/tex]
Step-by-step explanation:
[tex]15x \: \: \: \: + \: 57 \geqslant 129 \\ or \: 15x \geqslant 129 - 57 \\ or \: x \geqslant 72 \div 15 \\ or \: x \geqslant 4.8 \\ [/tex]
Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?
Answer:
Peter = 6 kg
Mary = 12 kg
Lucy = 8 kg
Step-by-step explanation:
let us take number of kg's peter took as x
then lets form an expression to find x
let us take mary's chestnuts as = 2x (twice as much as peter)
let us take Lucy's chestnuts as = 2 + x (picked 2 kg more than peter)
so
x + 2x + 2+ x = 26
4x + 2 = 26
4x = 26 - 2
4x = 24
x = 24/4
x = 6
now let us see how much each of them picked while replacing 6 by x
Peter = x
= 6 kg
Mary = 2x
= 2(6)
= 12 kg
Lucy = 2+x
= 2 + 6
= 8 kg
now let us cross check to see the answer
6 + 12 + 8
18 + 8
= 26
CROSS-CHECKED
1 7/8 cups of ketchup times 3.
Answer:
5 5/8 cups of ketchup
Step-by-step explanation:
1 7/8 x 3
15/8 x 3/1 = 45/8
45/8 = 5 5/8
What is the algebraic expression for the word phrase " the quotient of 24 and 6 less than m”
Please help
Answer:
[tex]\displaystyle \frac{24}{-6 + m}[/tex]
Step-by-step explanation:
Whichever term is called first represents the numeratour and the leftover represents the denominatour.
I am joyous to assist you at any time.
The expression is 24/ m-6
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.
An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
Given:
the quotient of 24 and 6 less than m
=24/m-6
Learn more about expression here:
https://brainly.com/question/24416748
#SPJ2
What do you mean by rational numbers? Give an example of rational number.
Any number that can be written as a fraction with integers is called a rational number.
example are:1/2,-1,0,3....
hope it help.
stay safe healthy and happy.6. In the expression shown x represents a rational
number
6x
What value of x makes the expression equal to a
number greater than 6?
A.7/8 B.17/17 C.14/15 D.7/5
Answer:
d
Step-by-step explanation:
7/5 is greater than 1
sorry if this is wrong
6
0.5 of the students in the
class are boys. What is this
decimal as a fraction, in
lowest terms?
Answer:
[tex]{ \sf{it \: \: is \: \: \frac{1}{2} }}[/tex]
Can someone one help?
Answer:
The answer for that question is B
Find the value of xFind the value of xFind the value of x
Answer:
x = 11
Step-by-step explanation:
[tex] \frac{x + 2}{6} - \bigg( \frac{11 -x }{3} - \frac{1}{4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2(x + 2)}{2 \times 6} - \bigg( \frac{4(11 - x) - 1 \times 3}{3 \times 4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{4 4 - 4x- 3}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{41 - 4x}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4 - 41 + 4x}{ \cancel{12}} = \frac{3x - 4}{ \cancel{12}} \\ \\ 6x - 37 = 3x - 4 \\ \\ 6x - 3x = 37 - 4 \\ \\ 3x = 33 \\ \\ x = \frac{33}{3} \\ \\ \huge \red{ \boxed{ x = 11}}[/tex]
Look at this table:
Is this relation a function?
Answer:
Yes, because each x-value has a different y-value.
Amber baked 243 cookies. She wants to share the cookies evenly among 13 friends in her class. How many cookies will each friend receive?
Answer:
18
Step-by-step explanation:
243÷13=18remainder9
mark me brainliest
Answer:
18
Step-by-step explanation:
243/13
f(x)=3|x|
can you answer this question
PLSSSSSSSSS HELPPPPPOPPPOP
Answer:
Step-by-step explanation:
write an equivalent expression (x+2)(x-3) by using the distributive property
Answer:
x(x-6)
Step-by-step explanation:
(x+2)(x-3)
x^2-3x+2x-6
x^2-x-6
x(x-6)
Write the slope-intercept form of the equation of the
line through the given point with the given slope.
10. through: (5, -3), slope -4/5.
Answer:
y = -4/5x + 1Step-by-step explanation:
The slope-intercept form:
y = mx + b, where m- slope, b- y-interceptUse point (5, -3) and m = -4/5:
-3 = -4/5*5 + b-3 = -4 + bb = -3 + 4b = 1The line is:
y = -4/5x + 1Answer:
b = 1
Step-by-step explanation:
We know that
y = mx + b
-3 = -4/5 × 5 + b
-3 = -20/5 + b
-3 = -4 + b
-3 + 4 = b
1 = b
(20 points) I need help please
Answer:
The perimeter is 62ft
Step-by-step explanation:
5 + (6 x 4) + (2 x 8) + 17
5 + 24 + 16 + 17
29 + 33
62
square picture has an area of 225 in^2 What is the side length of the picture
Answer:
15 in
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesGeometry
Area of Square Formula: A = s²
s is the side lengthStep-by-step explanation:
Step 1: Define
Identify variables
A = 225 in²
Step 2: Solve for s
Substitute in variables [Area of a Square Formula]: s² = 225 in²[Equality Property] Square root both sides: s = 15 incan someone help please ?
Answer:
-22
Step-by-step explanation:
equantion: (n + 15).6= -42
n = -22