Answer:
[tex]\displaystyle d \approx 7.07[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian planeCoordinates (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 C (-2, 0)
Point D (3, 5)
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{(3+2)^2+(5-0)^2}[/tex][√Radical] (Parenthesis) Add/Subtract: [tex]\displaystyle d = \sqrt{(5)^2+(5)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25+25}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{50}[/tex][√Radical] Simplify: [tex]\displaystyle d = 5\sqrt{2}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 7.07107[/tex]Round: [tex]\displaystyle d \approx 7.07[/tex]A 35 ft ladder reaches a window that is 25 feet high. What is the angle of elevation the ladder forms with the ground? A. 44.4 C. 35 B 54.5 D. 45.6
Answer:
D
Step-by-step explanation:
Sin(x)=25/35=5/7
=> x = 45.6
How do you know (2, 1) is a solution to 4x+y=9?
Select all that apply.
1.[] The coordinate lies on the line
2.[] When substituting x=2 and y=1 into the equation, you get a true statement .
3.[] (2,1) is a positive and so is all the numbers in the equation
4.[] 9-4=5 and 2(2)+1=5
Answer:
2. When substituting x=2 and y=1 into the equation, you get a true statement.
Hope this helps you.
$26,000 is invested at 8% p.a. If interest is compounded annually, find the balance after 35 years.
Answer:
At the end of 35 years, your savings will have grown to $384,418.
You will have earned in $358,418 in interest.
How do you write the equation in slope intercept form given (2,2) and (0,-2)?
Answer:
y = 2x - 2
Step-by-step explanation:
The slope-intercept form of the equation of a line is
y = mx + b
where m is the slope, and b is the y-intercept.
y = mx + b
First we find the slope, m.
slope = (difference in y)/(difference in x)
It does not make a difference which point is first and which point is second in finding the differences, but you must do the x- and y-differences in the same order.
slope = (-2 - 2)/(0 - 2) = -4/(-2) = 2
The slope is 2, so m = 2, and now we have:
y = 2x + b
We need to find the value of b, the y-intercept.
We use one of the given points. Let's use (2, 2). We plug in 2 for x and 2 for y and solve for b.
2 = 2(2) + b
2 = 4 + b
-2 = b
b = -2
Now that we know the y-intercept is -2, we substitute b with -2.
y = 2x + b
y = 2x - 2
Answer: y = 2x - 2
ax + 7 = 2x + b
Find x
Answer:
x = [tex]\frac{b-7}{a-2}[/tex]
Step-by-step explanation:
Given
ax + 7 = 2x + b ( subtract 2x from both sides )
ax - 2x + 7 = b ( subtract 7 from both sides )
ax - 2x = b - 7 ← factor out x from each term on the left side
x(a - 2) = b - 7 ← divide both sides by (a - 2)
x = [tex]\frac{b-7}{a-2}[/tex]
cyclops frogggggggiiiiiiieeeeeeeee
Answer:
It is a little creepy....
Step-by-step explanation:
lol that totally looks like one
which fraction is equivalent to 2/6
Answer:
1/3, 2/6, 3/9, 4/12..are equivalent fractions. Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get.
Step-by-step explanation:
The equivalent fractions of the given fraction [tex]\dfrac{2}{6}[/tex] are [tex]\dfrac{4}{12} ,\dfrac{6}{18} ,\dfrac{8}{24}[/tex] .
The fractions which have the same value but can have different numerators or denominators when either multiplying , dividing or converting it into the lowest form is called equivalent fractions
The upper part of a fraction or part of a whole is called numerator and the lower part of a fraction or the whole is called denominator.
Equivalent fraction can be obtained by multiplying numerator and denominator with the same number .
Example : equivalent fraction of [tex]\dfrac{5}{8}[/tex] is
[tex]\dfrac{5}{8} = \dfrac{5 \times 1 }{8 \times 1} =\dfrac{5\times2}{8\times2} ........=\dfrac{5}{8}[/tex]
According to the data provided in the problem
[tex]\dfrac{2}{6} = \dfrac{2 \times 1 }{6 \times 1} =\dfrac{2\times2}{6\times2} ........=\dfrac{2}{6}[/tex]
Thus the equivalent fractions of [tex]\dfrac{2}{6}[/tex] are [tex]\dfrac{4}{12} ,\dfrac{6}{18} ,\dfrac{8}{24}[/tex]
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[tex] - \frac{2}{3} + 4 \times \frac{1}{3} [/tex]
Answer:
2/3
Step-by-step explanation:
You first multiply 4x1/3 which equals 4/3. Now you do -2/3+4/3=2/3. Hope this helps!
Answer:
2/3
Step-by-step explanation:
[tex]\frac{-2}{3}+4*\frac{1}{3}=\frac{-2}{3}+\frac{4}{3}\\\\=\frac{(-2) + 4}{3}\\\\\\= \frac{2}{3}[/tex]
find 2 numbers whose sum is 36 and diffrence is 10
Answer:
23 and 13
Step-by-step explanation:
can you help me with my latest answer too??i'm on a time limit rn
Answer:
13 and 23Step-by-step explanation:
let 2 number be x and y
x + y = 36 ---- equation ( 1 )
x - y = 10 -----equation ( 2 )
from ( 1 ) and ( 2 )
2y = 26
y = 13
putting value of Y in equation ( 1 )
x + y = 36
x + 13 = 36
x = 36 - 13
x = 23
MARK ME AS BRAINLISTIs my answer right? if not can you please tell me which won is right..
In a '15% off sale, Freya bought a DVD player for £179.99. What was the original price of this
DVD player?
Answer:
211.75
Step-by-step explanation:
179.99/.85=211.75
What does |(-18)+(-2)/(7)+(-2) equal?
Answer:
-4
Step-by-step explanation:
(-18)+(-2)/(7)+(-2)
Add -18 and -2 to get -20.
-20/(7)+(-2)
Add 7 and -2 to get 5.
-20/5
-4
Hope this helps.
frecuencia del alcohol
PLEASE HELP
Simplify the expression by combining like terms.
4 x + 3 − 2x + 5 − 2y
Answer:
2x+8-2y
Step-by-step explanation:
4x-2x+5+3-2y
2x+8-2y
Answer:
There you go!!
Step-by-step explanation:
4x - 2x - 2y + 3 + 5
i need some help pls
Answer:
C would be your answer
Step-by-step explanation:
write the equation of the line passing through the points (-4 -1) and (2 8)
Answer:
y=3/2x+5
Step-by-step explanation:
I NEED THE SLOPE INTERCEPT FORM, ITS DUE BY 12
Answer:
really what is the answer
Step-by-step explanation:
Answer:
y=x+2
Step-by-step explanation:
i cant see clearly if line is on the x axis or not, so im going to guess that it starts on a 2, cause its really close to 2.
hope this helps.
y’all plz- help this is so hard
giving brainlest ;)
Answer:
B
Step-by-step explanation:
Answer:
Answer: B.
Step-by-step explanation:
Quadrants in the Coordinate Plane
The coordinate plane is divided into 4 quadrants named I, II, III, and IV as shown in the image attached below.
The first quadrant (I) has the x positive and the y positive
The second quadrant (II) has the x negative and the y positive
The third quadrant (III) has the x negative and the y negative
The fourth quadrant (IV) has the x positive and the y negative.
A point located in quadrant III must have both coordinates negative. This only corresponds to choice B where both components are negative.
Answer: B.
HELPPPP PLEASE
1. (28 - 22 ) ÷ ( 17-5)
2. (11 x 2 - 42 ) +4
Answer:
1) 1/2 2) -16
Step-by-step explanation:
28-22=6
17-5=12
--------------
6/12=1/2
------------
2) (11*2-42)+4=(22-42)+4=-20+4=-16
Answer:
1. 0.5 or 1/2
2.-16
Step-by-step explanation:
what is an equation to represent for (starfish descends 2/3 of a meter each hour, h, until is has moved 6 total meters.)
Answer:
100
Step-by-step explanation:
44 - 144
= 100
100-44
[tex]\int\limits^a_b {x} \, dx[/tex]
Math problem I need help with
Answer:
31° is the answer thank you
the diagram shows a triangle drawn between a pair of parallel lines
Find value of x and y
Answer:
x = 60
y = 80
Step-by-step explanation:
x° + 120° = 180° (interior angles on the same side of transversal)
x° = 180° - 120°
x° = 60°
x = 60
x° + y° = 140° (alternate angles)
60° + y° = 140°
y° = 140° - 60°
y° = 80°
y = 80
The measure of angle ∠x is 60° and ∠y is 80°.
What are Alternate Interior Angles?Alternate Interior Angles is defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles. These angles are always equal.
Since angle ∠x and ∠120° are interior angles on the same side of transversal.
So, x° + 120° = 180°
x° = 180° - 120°
x° = 60°
x = 60
Since angle ∠x° and angle ∠y° are alternate angles
So, x° + y° = 140°
Substitute the value of x = 60 in above equation,
60° + y° = 140°
y° = 140° - 60°
y° = 80°
Hence, the measure of angle ∠x is 60° and ∠y is 80°.
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A new health drink has 150% of the recommended daily allowance (RDA) for a certain vitamin. The
RDA for this vitamin is 20 mg. How many milligrams of the vitamin are in the drink?
There are mg of the vitamin in the drink.
Find the unit rate.
1/2 pound : 5 days
Answer:
= 0.2 pound per day
Step-by-step explanation:
This is a fraction equal to
1 pound ÷ 5 days
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 5
1 pound ÷ 5
5 days ÷ 5
=
0.2 pound
1 day
=
0.2 pound
day
= 0.2 pound per day
2. Write the symbol that will make the statement true; -5__+3.
a. < b. > c. = d. /
Answer:
a
Step-by-step explanation:
On the number line, negative numbers are less than zero. positive numbers are larger than zero.
How much money does Bob the Brick-layer need for his material costs?
He can lay 100 bricks in an hour. He charges $150 per hour for brick laying,
What is the total cost for Bob to do the job?
How long does it take an account with a principal of $400 to earn $48 in interest at a simple annual interest rate of 2%?
Answer:
it'll take 6 years
Step-by-step explanation:
I =put
48= 400(.02) t
48= 8t
t= 6 years
solve (x - 4)^2 = 5
Answer
If you are solving for X, take the root from both sides.
Exact Form:
x
=
√
5
+
4
,
−
√
5
+
4
Decimal Form:
x
=
6.23606797
…
,
1.76393202
…
Answer:
Step-by-step explanation:
[tex](x-4)^2=5\\ \\ x-4=\pm \sqrt{5}\\ \\ x=4\pm \sqrt{5}\\ \\ x=4-\sqrt{5},\ 4+\sqrt{5} [/tex]
The eighth term of an arithmetic sequence is double the value of the third term. The fifth term is equal to 14. Determine the first term and the common difference of the sequence.
Answer: first term = 6
Common difference = 2
Step-by-step explanation:
Eight term =a +(n-1)d = a +(8-1)d = a + 7d
Third term = a+(n-1)d = a + (3-1)d =a + 2d
a + 7d = 2(a + 2d)
a + 7d = 2a + 4d
7d - 4d = 2a - a
a = 3d
The fifth term is equal to 14. This is:
a + 4d = 14
Put the value of a into the equation here
3d + 4d = 14
7d = 14
d = 14/7
d = 2
Recall that a + 4d = 14
a + 4(2) = 14
a + 8 = 14
a = 14 - 8
a = 6
−3(5x + 8) − 7(5x + 3)
Answer:
-50x-45
Step-by-step explanation:
-3(5x+8)-7(5x+3)
-15x-24-35x-21
-50x-45