Answer:
The midpoint of CD is [tex](\frac{2+a}{2},\ \frac{7+b}{2})[/tex].
Step-by-step explanation:
Consider a line CD.
The point C is (2, 7).
Assume that the point D is, (a, b).
The formula to compute the midpoint is:
[tex](x,y)=(\frac{x_{1}+x_{2}}{2},\ \frac{y_{1}+y_{2}}{2})[/tex]
Compute the midpoint of CD as follows:
[tex](x,y)=(\frac{x_{1}+x_{2}}{2},\ \frac{y_{1}+y_{2}}{2})[/tex]
[tex]=(\frac{2+a}{2},\ \frac{7+b}{2})[/tex]
Thus, the midpoint of CD is [tex](\frac{2+a}{2},\ \frac{7+b}{2})[/tex].
(-5,-4) rotated 270° counterclockwise
Answer:
(4, - 5 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (- y, x ) , thus
(- 5, - 4 ) → (4, - 5 )
Find The Area of triangle ABC
a. 27 square units
b. 18 square units
c. 54 square units
d. 36 square units
Answer:
b. area = 18 square units
Step-by-step explanation:
area of a triangle = 1/2 * base * height
area = 1/2 (6+3) + (6-2)
area = 1/2 * 9 * 4
area = 18 square units
therefore the answer is b.
Identify the missing factors:
d) 20 = (4) (?)
e) -14x = (7)(?)
f) x3 =x2 (?)
Ur solution is in the attachment.
Answer:
d) ? = 5
e) ? = -2x
f) ? = x
Step-by-step explanation:
d) 20 = (4)(?)
20/4 = ?
5 = ?
Check:
20 = 4*5
e) -14x = (7)(?)
-14x/7 = ?
-2x = ?
Check:
-14x = 7*-2x
f) x³ =x² (?)
x³/x² = ?
x³⁻² = ?
x¹ = ?
x = ?
Check:
x³ = (x²)(x)
Solve for x: -2x + 5 < 7
Answer:
[tex]x>-1[/tex]
Step-by-step explanation:
Solve for x: [tex]-2x+5<7[/tex]
To solve this inequality, we must minus 5 from both of the sides.
[tex]-2x+5-5<7-5[/tex]
This equals
[tex]-2x<2[/tex]
Now we'll make this into a fraction and divide both sides by -2.
[tex]\frac{-2x}{-2} <\frac{2}{-2}[/tex]
After we divided, we got our answer.
[tex]x>-1[/tex]
Hope this helps!
Point U is on line segment TV. Given UV = 2, TU = 5x, and TV = 3x + 6,
determine the numerical length of TV.
Answer:
TV = 12
Step-by-step explanation:
TV = TU + UV
3x + 6 = 5x + 2
Shift the unknowns to the left, constants to the right.
3x - 5x = 2 - 6
-2x = -4
Divide both sides by -2.
x = 2
Substitute x = 2 into the equation for TV (3x + 6),
3x + 6
= 3(2) + 6
= 6 + 6
= 12
The numerical value of TV will be 12.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
Given that Point U is a line segment TV. Given UV = 2, TU = 5x, and TV = 3x + 6.
The numerical value of TV will be calculated as below:-
TV = TU + UV
3x + 6 = 5x + 2
Shift the unknowns to the left, and constants to the right.
3x - 5x = 2 - 6
-2x = -4
Divide both sides by -2.
x = 2
Substitute x = 2 into the equation for TV (3x + 6),
TV = 3x + 6
TV = 3(2) + 6
TV = 6 + 6
TV = 12
Therefore, the numerical value of TV will be 12.
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Let f(x) = x2 − 8x + 5. Find f(−1).
Answer:
14
Step-by-step explanation:
[tex]f(x)=x^2-8x+5\\f(-1)=(-1)^2-8(-1)+5\\f(-1)=1+8+5\\f(-1)=14\\[/tex]
The quotient of 64 and x
Answer:
[tex]\frac{64}{x}[/tex] quotient means you divide
Step-by-step explanation:
22.2 repeating percent as a decimal and fraction
Answer:
0.222(repeating) = 2/9
Step-by-step explanation:
To convert a percentage to a decimal, divide by 100%.
22.2%(repeating)/100% = 0.222(repeating)
__
To convert a repeating decimal to a fraction, first multiply it by 10 the the power that is equal to the number of repeating digits. Here, we have 1 repeating digit, so ...
x = 0.222(repeating)
10^1 · x = 10x = 2.222(repeating)
Now subtract the original. The repeating parts cancel.
10x -x = 2.222(repeating) - 0.222 repeating = 2
9x = 2
x = 2/9 . . . . . divide by the coefficient of x
The decimal is 0.222(repeating).
The fraction is 2/9.
The left and right page numbers of an open book are two consecutive integers whose sum is 321
Find these page numbers.
Answer:
160,160
Step-by-step explanation:
let the first page be X
second one be x+1
x+x+1=321
2x=320
x= 320÷2=160
pages 160 161
a college admissions office collects data from each incoming freshman on several quantitative variables distance from their home to campus, number of siblings, how many books they have read in the past month and how long it took them to complete an online survey. classify each variable as discrete or continuous
Answer:
1) Distance from their home to campus → Continuous
2) The number of siblings → Discrete
3) How many books they have read in the past month → Discrete
4) How long it took them to complete an online survey → Continuous
Step-by-step explanation:
A discrete variable is a variable with a constant value which is found to be accurate by counting of articles in the subject.
Examples of discrete variables are the amount of money in a person's pocket, the number of people in a bus
A continuous variable is one that is a variable that if it is possible for the variable to have values between two values, then the variable can have any of the values in between the two values
Example of a continuous variable are
The Height of people within a building
The distance traveled to a location.
Therefore, we have the following classification of the data is given as follows;
1) from their home to campus is a Continuous variable
2) The number of siblings is a Discrete variable
3) How many books they have read in the past month is a Discrete variable
4) How long it took them to complete an online survey is a Continuous variable.
What is the least number divisible by 2,3,5, 9,10?
Answer:
If you mean the Lowest Common Multiple (LCM) then the answer is 30.
But if you mean the lowest number that can be divided by 2, 3, and 5 then the answer is -∞ because any given number can be divided by any number except 0.
Hoped I helped
Can I get a brainiest
Answer:
If you mean what is the smallest number divisible by 2, 3, 5, 9, and 10, then I have no idea, sorry. :'(
Step-by-step explanation:
Find x if f(x) = 2x + 7 and f(x) = –1.
1 = x
-4 = x
O = x
-2 = x
Write a word phrase for the algebraic expression: d/5 + 2 A)The difference between the quotient of d and 5 and 2 B)The sum of 2 and the product of d and 5 C)The difference between 2 and the product of d and 5 D)The sum of the quotient of d and 5 and 2 ANSWER QUICK
Answer:
My answer to the question is option D
How much more juice than water is needed to make the rainbow pop? (i need help with this, there are only ten minutes letf!)
Answer:
6/8 - 4/8= 2/8=1/4 cup
Hope it helps!
what is X in the equation. -38+6x = -12x+52
Answer:
x=5
Step-by-step explanation:
add 38 to to the pther side
combine 38+52=90
add 12 to the other side
12+6=18
divide 90 by 18= 5
let f(x)=x-3and h(x)=x2+6.what is (h⁰g)(1)
Answer:
The answer is 10 .
Step-by-step explanation:
f(x) = x-3
h(x) = [tex]x^{2} +6[/tex]
Now ,
hog(1)
=h (1-3)
=h (-2)
= [tex](-2)^{2}[/tex] +6
= 4+6
= 10
Steve has 84 basketball cards,which is 7 times as many as claire.Claire buys 63 more cards,if b is the number of cards that claire has now then what is the value of b
Answer: Value of B= 75 Basketball cards
Step-by-step explanation:
STEP 1
let number of cards Steve has be =a
let number of cards Claire has be =b
STEP 2
Steve has a= 84 basketball cards
Claire has 7 times less than Steve = 84 /7 = 12=b
STEP 3
if Claire buys 63 more cards
The present value of card Clare now has = 12 +63 = 75 basket ball cards=b
Simplify 24y^7z^3/6yz^6
Answer: 24x^6e^4/7ry^3
Step-by-step explanation:
What is the area of the triangle pls help
Answer:
Area of a triangle =1/2bh.
1/2×8×10=40cm^2.
Sharonda is plotting quadrilateral PQRS on the graph below. She will plot the fourth and
final vertex, S, at (9,5). What will be the length of side PS?
Answer:
11 units
Step-by-step explanation:
Length of side PS can be calculated using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Where,
[tex] P(-2, 5) = (x_1, y_1) [/tex] (the coordinate of P is gotten from the graph)
[tex] S(9, 5) = (x_2, y_2) [/tex] (given)
[tex] PS = \sqrt{(9 - (-2))^2 + (5 - 5)^2} [/tex]
[tex] PS = \sqrt{(11)^2 + (0)^2} [/tex]
[tex] PS = \sqrt{121} = 11 units [/tex]
Enter an integer to represent the situation. an elevator ride down 34 stories
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
So you already know that 34 is 34 stories in length.
Positive means: up, forward
Negative means: down, backward
Since the elevator is going down 34 stories, it is negative.
An elevator ride down 34 stories can be represented as -34 or negative 34.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
The required integer is -34.
It is required to find the integer.
What is integer?An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.
Given:
Positive means: up, forward
Negative means: down, backward
Since the elevator is going down, the situation is represented by a negative integer. Since it goes down 34 stories, then it is represented by the integer −34.
Therefore, the required integer is -34.
Learn more details about integer here:
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Can someone answer this circle equation question? PLEASE SHOW STEPS
Answer:
A
Step-by-step explanation:
oh steps are here!
Answer:
a) 5
Step-by-step explanation:
2x² - 6x + 2y² + 2y = 45
Complete the square and get it in the form (x-a)² + (y -b)² = r²
2x² - 6x + 2y² + 2y = 45
Divide the equation by 2
x² - 3x + y² + y = 45/2
x² - 3x + ? + y² + y + ?? = 45/2
? -----> (x coefficient by 2)² = (3/2)² = 9/4
?? ----> (y coefficient by 2)² = (1/2)² = 1/4
Add (9/4) & (1/4) to both sides,
x² -3x +(9/4) + y² + y + (1/4) = (45/2)+ (9/4) + (1/4)
(x - 3/2)² + (y + 1/2)² = (90/4) + (9/4) + (1/4)
[tex](x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=\frac{90+9+1}{4}\\\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=\frac{100}{4}\\\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=25\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=5^{2}[/tex]
Radius = 5
En un triangulo ABC, el angulo B mide 64° y el angulo C mide 72°. La bisectriz interior CD corta a la altura BH y a la bisectriz BM en P y Q respectivamente. Hallar la diferencia entre el mayor y menor angulo del triangulo PBQ.
Answer:
The difference between the greatest and the smallest angle of the triangle PBQ is 98°.
Step-by-step explanation:
The question is:
In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.
Solution:
Consider the triangle ABC.
The measure of angle A is:
angle A + angle B + angle C = 180°
angle A = 180° - angle B - angle C
= 180° - 72° - 64°
= 44°
It is provided that CD and BM are bisectors.
That:
angle BCP = angle PCH = 36°
angle CBQ = angle QBD = 32°
angle BHC = 90°
Compute the measure of angle HBC as follows:
angle HBC = 180° - angle BHC + angle BCH
= 180° - 90° - 72°
= 18°
Compute the measure of angle BPC as follows:
angle BPC = 180° - angle PCB + angle CBP
= 180° - 18° - 36°
= 126°
Then the measure of angle BPQ will be:
angle BPQ = 180° - angle BPC
= 180° - 126°
angle BPQ = 54°
Compute the measure of angle PBQ as follows:
angle PBQ = angle B - angle QBD - angle HBC
= 64° - 32° - 18°
angle PBQ = 14°
Compute the measure of angle BQP as follows:
angle BQP = 180° - angle PBQ - angle BPQ
= 180° - 14° - 54°
angle BQP = 112°
So, the greatest and the smallest angle of the triangle PBQ are:
angle BQP = 112°
angle PBQ = 14°
Compute the difference:
d = angle BQP - angle PBQ
= 112° - 14°
= 98°
Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.
HELP PLEASE!!!!!! ONLY HAVE 40 MINUTES
Answer:
B. f(x) domain: x ≥ 1
f–1(x) range: y ≥ 1
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Because the two functions are inverse to each other, so we all know that the domain of f(x) will be the range of and the range of f(x) will be the domain of
As can be seen from the attached photo,
f(x) extends to the right of x=1, so its domain is x ≥ 1.
<=> range is y≥ 1.
Therefore, we choose answer B
Hope it will find you well.
(I found this somewhere else)
the inequality and express your answer in interval notation.
x^2-12x+5<0
need this asap
Answer:x^2-12x+5<0= 6
hope it helps :)
Use the figure to answer the question.
9 cm
10 cm
18 cm
9 cm
4 cm
10 cm
What is the volume of the figure? Enter the answer in the box.
cubic centimeters
Answer:
1,530 cm³
Step-by-step explanation:
The figure consists of two rectangular prism or cuboid.
The dimension of cuboid 1:
[tex] l = 10cm, w = 9cm, h = 9cm [/tex]
[tex] Volume_1 = l*w*h = 10*9*9 = 810 cm^3 [/tex]
The dimension of cuboid 2:
[tex] l = 18cm, w = 10cm, h = 4cm [/tex]
[tex] Volume_2 = l*w*h = 18*10*4 = 720 cm^3 [/tex]
Volume of the figure = 810 + 720 = 1,530 cm³
Answer: 1,530
Step-by-step explanation:
What is the value of w?
2/5 (w+5) = 4/5
Answer:
W = -3
Step-by-step explanation:
Answer:
w = - 3
Step-by-step explanation:
Given
[tex]\frac{2}{5}[/tex] (w + 5) = [tex]\frac{4}{5}[/tex]
Multiply both sides by 5 to clear the fractions
2(w + 5) = 4 ( divide both sides by 2 )
w + 5 = 2 ( subtract 5 from both sides )
w = - 3
make x the subject of 5(x-3) = y(4-3x)
Answer:-
5(x-3)=y(4-3x)
5x-15=4y-3xy
5x+3xy=4y+15
x(5+3y)=4y+15
x=>(4y+15)/(5+3y)
:)
Answer:
Step-by-step explanation:
5(x - 3) = y(4 - 3x)
Use distributive property
5*x - 5*3 = y*4 - y*3x
5x - 15 = 4y - 3xy
5x = 4y -3xy + 15
5x + 3xy = 4y +15
x(5 + 3y) = 4y +15
x = [tex]\frac{4y+15}{5+3y}[/tex]
7-(-19)-18+(-19)+18
Answer:
My answer is
7+9-18-19+18= -3.
Expresa en lenguaje algebraico la expresión: Dimensiones de un rectángulo en el que su largo tiene 6 metros más que el ancho.
Answer:
Expresa la expresión en lenguaje algebraico: Dimensiones de un rectángulo en el que su longitud es 6 metros más que su ancho.
Sea la longitud representada por ly el ancho por w
entonces ; l = 6 metros + w
Step-by-step explanation: