8. Find the distance between the ordered pairs (-1, -3) and (2, 1). If necessary, round to the nearest tenth.
Answer:
[tex]\displaystyle d = 5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, -3)
Point (2, 1)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(2--1)^2+(1--3)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(3)^2+(4)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{9+16}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{25}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 5[/tex]Points A and B lie on a circle with radius 1, and arc AB ⌢ has a length of [tex]\frac{\pi }{3}[/tex]. What fraction of the circumference of the circle is the length of arc AB ⌢?
Answer:
Solution given:
arc AB :angle=[tex]\frac{\pi }{3}[/tex]=60
radius[r]=1
Now
we have
Circumference the circle is the length of arc AB ⌢:[tex]\frac{arc AB }{360}2\pi*r[/tex]
:
[tex] \frac{180}{3} \div 360 \times 2\pi \: \times 1[/tex]
=⅓π or 1.047units
Note:
For angle π=180
For length π=[tex]\frac{22 }{7}[/tex].
L
Ø/360×2πrπ/3=60°
L=60/360×2π(1)L=1/6×2πL=π/3L=1.047unitsGiven the following quadratic equations. Name the form
and list all the information you can get from each form.
For trans thanks for helping me your the best
Answer:
x = 58.5 m
Step-by-step explanation:
Let us use sine law to find the length of the yellow cable. Note that a cable of length 64 m is directly opposite the 112° angle and the 58° angle is directly opposite the unknown cable length. We can the set up our sine law as follows:
[tex] \frac{x}{ \sin(58) } = \frac{64 \: m}{ \sin(112) } [/tex]
Solving for x,
[tex]x = \frac{ \sin(58) }{ \sin(112) } \times (64 \: m) = 58.5 \: m[/tex]
What is the slope of the line?
y+2 = -2(2-3)
Choose 1 answer:
А
w
1
2
B
1
1
с
- 2
D
-1
Marie is a college professor. Her annual salary is $66,000.
Answer:
I'm confused as to what your asking.
evaluate 9 m+7 n if m=-7 and n=4
Answer:
the answer is -35
Step-by-step explanation:
9x-7 =-63, 7x4=28. -63+28=-35
Sammy is moving and has two boxes to fill. What is the total volume (in cubic feet) that Sammy has between the two boxes? *
Answer:
Is there an image or even numbers to work with?
Step-by-step explanation:
Answer:
where are the numbers?
You have a $1 bill, a $5 bill, a $10 bill, a $20 bill, a quarter, a dime, a nickel, and a penny. How many different total amounts can you make by choosing 5 bills and coins?
HELP!
Find the area of triangleABC to the nearest tenth.
Answer:
62.3 units²
Step-by-step explanation:
We would apply the formula for area of a triangle given an included angle, which is A = ½*ab*sin C
Where,
a = 11
b = 14
C = 54°
Substitute
Area = ½*11*14*sin 54
Area = 62.2943085 ≈ 62.3 units² (nearest tenth)
Simplify sec^2x-tan x-3
[tex]\huge\longmapsto\mathfrak{Answer}[/tex]
=》
[tex] \sec {}^{2} (x) - tan(x) - 3[/tex]
=》
[tex] \tan {}^{2} (x) + 1 - \tan(x) - 3[/tex]
=》
[tex] \tan {}^{2} (x) - \tan(x) - 2[/tex]
=》
[tex] \tan {}^{2} (x) - 2\tan(x) + \tan(x) - 2[/tex]
=》
[tex] \tan(x) ( \tan(x) - 2) + 1( \tan(x) - 2) [/tex]
=》
[tex]( \tan(x) + 1)( \tan(x) - 2)[/tex]
so,
case - 1
=》
[tex] \tan(x) = - 1[/tex]
case - 2
[tex] \tan(x) = 2[/tex]
Blake wants to make a mixer that originally sold for $25.99 and is on sale for off. He also has a coupon for 15% off the discounted price. How much is the mixer after both discounts?
Answer:
$22.09
Step-by-step explanation:
The easiest way of calculating discount is, in this case, to multiply the normal price $25.99 by 15 then divide it by one hundred. So, the discount is equal to $3.9.
Answer: $22.09
Step-by-step explanation:
What is the perimeter of quadrilateral of MNPQ?
Answer:
The formula to find the perimeter of the quadrilateral = sum of the length of all the four sides.
Step-by-step explanation:
Here the lengths of all the four sides are 5 cm, 7 cm, 9 cm and 11 cm. 2. The perimeter of the quadrilateral is 50 cm and the lengths of three sides are 9 cm, 13 cm and 17 cm
Select all that apply.
Which of the following are equivalent?
4%
40%
0.4
Answer:
0.4 is equivalent to 40%
Step-by-step explanation:
If you read it out loud, 0.4 is pronouced as "4 tenths"0.40--> 40?the ones that are equivalent are 40% and 0.4, since 40% converted into a decimal is 0.4. 4% isn't equivalent to any of the options because it would be 0.04 as a decimal.
HELP ME PLEASE……..50 pointssss
Answer:
88
Step-by-step explanation:
jdndkebdjwbsksnekxbwkxbwkxbekxbkfn
A teacher listed 28,30,32 and 36 as ages of the students in his class with frequencies 8,10,5 and 7 Respect Respectively....... A:how many students were in the class ? B: what was the average age of the class? C: what was the range for the students? D:what was the modal age?
gawd daym that's a lot of students
Answer:
A: There are 30 students in the class.
B: The average age of the class is 31.5.
C: The range goes from age 28 to age 36.
D: The modal age is 30.
Step-by-step explanation:
A: 8+10+5+7 = 30.
B: 8 + 30 + 32 + 36 = 126
126/4 = 31.5
C: Lowest age is 28 and highest is 36, making that the range for students' ages.
D: The most frequently appearing age in the study is 30, which makes 30 the modal age.
Help! Will mark brainiest sorry its pretty blurry
Answer:
As temp. increases, sales increse
Step-by-step explanation:
A man and a woman share a prize
of $1,000
between them in the ratio 1:3 . The women shares her part
between herself
, her mother and her daughter in the
ration 2:1:7. How much does her daugter receiv?
Step-by-step explanation:
What type of line the picture represent
How do you solve 3.16 divided by 0.04?
Sorry i couldn't use the divison sign because i'm using a computer.
Answer:
79
Step-by-step explanation:
Answer:
79
Step-by-step explanation:
A circus juggler on the highwire gives a bowling pin a final toss into the air with an initial velocity of 9 meters per second from a height of 11 meters. The equation h(t)=
–
4.9t2+9t+11 models the height of the bowling pin in meters after t seconds.
About how many seconds does it take for the bowling pin to hit the ground?
Round your answer to the nearest tenth of a second.
Answer:
2.7
Step-by-step explanation:
yes i'm correct
A circus juggler on the highwire gives a bowling pin a final toss into the air with an initial velocity of 9 meters per second from a height of 11 meters. The time taken by the object to hit the ground is 2.7 seconds.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable.
The standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
It is given that,
Initial velocity of an object, u = 9 m/s
Height, h = 11 m
The equation that models the height of the object in meters after t seconds is :
[tex]h(t)= -4.9t^2+9t+11[/tex]
We have to find the time it take for the bowling pin to hit the ground
i.e. [tex]-4.9t^2+9t+11=0[/tex]
On solving the above quadratic equation, we get the value of time t is :
t = 2.7 seconds
Hence, The time it takes to hit the ground would be 2.7 seconds.
Learn more about quadratic equations here:
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Find the value of x and show all steps pretty please
Answer:
[tex]x=136[/tex]
Step-by-step explanation:
[tex]using ~ intersecting ~chords ~ angle ~theorem[/tex]
[tex]x=\frac{142+130}{2}[/tex][tex]x=\frac{272}{2}[/tex][tex]x=136^o[/tex]---------------------
hope it helps...
[tex] \small \fbox \pink{By using intersecting chords angle property }[/tex]
[tex] \sf{x = \frac{142 + 130}{2} }[/tex]
[tex] \implies \sf{x = \frac{272}{2} }[/tex]
[tex] \boxed {x = 136 °}[/tex]
________________Thank You :)
Hope it helps uh !!
After surveying students in her homeroom, Katie decided to use a number cube to predict the probability that a randomly chosen student in her school planned to stay after school today for extracurricular activities. In Katie’s simulation, a roll of 1 represents staying after school, while rolls of 2, 3, 4, 5, or 6 represent leaving school at the end of classes.
Lucas built a composite solid by joining 12 identical blocks, with dimensions 4 inches by 5 inches by 7 inches, into three rows of four as shown.
12 blocks are in 3 rows of 4. Each block is 4 inches by 5 inches by 7 inches.
What is the total surface area of the composite solid?
521 square inches
1,042 square inches
1,072 square inches
1,992 square inches
Answer:
The answer is A, 1/729
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
work out the perimeter of this semicircle, take pie to be 3.142
radius= 10cm
Answer:
30 cm
Step-by-step explanation:
Perimeter = (half the circumference) + (twice the radius)
= (1/2)(2·10 cm) + 2(10 cm)
= 10 cm + 20 cm
= 30 cm
PLEASE HELP ME FIGURE OUT WHICH ONE I GOT WRONG, TYSMM :)
Answer:
da one in the middle and i do relize this is a test becuse i just took it.
Step-by-step explanation:
PLEASE HELP
x = ___ units
Answer:
x = 16 units
Step-by-step explanation:
∆ABC is a 45-45-90 triangle, and ∆BCD is a 30-60-90 triangle.
If side opposite of 90° [∆] = x, side opposite of 45° [∆] = x / √2 = x √ 2 / 2.
Given side AC is opposite of 90° [∆ABC] = 32 √ 2, side opposite of 45° [∆ABC] = 32 √ 2 / √ 2 = 32 which is AB or BC.
Since side BC is part of BCD.
Side opposite of 90° [∆BCD] = BC = 32.
Since x is opposite of 30° [∆BCD].
x = Side opposite of 90° [∆BCD] / 2 = 32 / 2 = 16.
James had a rectangular box of popcorn. The height of the box was 6 inches and the base had an area of 9 square inches. When some of the popcorn was eaten, James noticed the popcorn was only 1/2 the height of the box. What is the volume of the popcorn when the box is 1/2 full?
Answer:
it has 3/4
Step-by-step explanation:
Solve this System of equation 3c+6d=18 6c-2d=22
Answer:
[tex]3x + 6y = 18 \: \: \: \\ + \\ 3 \times (6x - 2y = 22) \: \: \: 18x - 6y = 66 \\ \\ 21x = 84 \\ x = \frac{84}{21} = 4[/tex]
c=x=4
d=(18-3×4)÷6=6÷6=1=y
Suppose the population of a certain city is 4164 thousand. It is expected to decrease to 3460 thousand in 50 years. Find the percent decrease.
Answer:
16.9%
Step-by-step explanation:
Given data
Initial populatation= 4164
Final population= 3460
Percent decrease= initial-final/initial*100
Percent decrease= 4164-3460/4164*100
Percent decrease= 704/4164*100
Percent decrease= 0.1690*100
Percent decrease= 16.9%
Hence the decrease is 16.9%
Express as a trinomial ??
(2x-5)(2x-1)
Answer:
is it like this?
Step-by-step explanation:
(2x-5)(2x-1)
2x(2x-1)-5(2x-1)
4x²-2x-10x-5
4x²-12x-5
that is the final answer
Given, expression is not trinomial.
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
To express the expression (2x-5)(2x-1) as a trinomial,
we need to multiply the two binomials together using the distributive property.
We can use the FOIL method to do this:
(2x-5)(2x-1) = 2x(2x) + 2x(-1) - 5(2x) - 5(-1)
Simplifying this expression, we get:
(2x-5)(2x-1) = 4x² - 2x - 10x + 5
Combining like terms, we get:
(2x-5)(2x-1) = 4x² - 12x + 5
Since, trinomial is ax³ +bx² +cx +d in standard form where a can not be zero.
Therefore, the binomial form of (2x-5)(2x-1) is 4x^2 - 12x + 5, and given, expression is not trinomial.
Learn more about Polynomials here:
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A bag contains four red marbles and six blue marbles.
Another bag contains eight green marbles and five
yellow marbles. You randomly pick one marble from
each bag. What is the probability that one marble is red and one marble is yellow?
Answer:
4/6 and 5/8
Step-by-step explanation: