Answer:
5 units!
Step-by-step explanation:
Because Rectangle Perimeter = 2(a+b)
a=2w-1, b=w
2(2w-1+w)=28
3w-1=14
3w=15
w=5
So the answer is 5! 5! 5! A!A!A!
Fighting!! o(≧o≦)o
Given the diagram below, solve for x. Enter only a number rounded to the nearest tenth
Answer:
x = 60 cm
Step-by-step explanation:
using Pythagoras theorem which states that:-
Hypotenuse (h)² = perpendicular (p)² + base (b)²
h = 100 cmb = 80 cmp = x100² = 80² + x²
100² - 80² = x²
10000 - 6400 = x²
3600 = x²
x = 60 cm
Square ABCD has vertices at A(−1,3), B(0,7), C(4,6), and D(3,2).
What is the area of the square when rounded to the nearest whole number?
Answer:
16
Step-by-step explanation:
Its a square, so AB=CD, AC=BD and
Answer qn in attachment
Answer:
[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]
Step-by-step explanation:
The given expression to us is ,
[tex]\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}[/tex]
Now take the LCM as ( x - 1 ) and Simplify , we have ,
[tex]\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}[/tex]
Simplifying further , we get ,
[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]
Hence the second option is correct .
Step-by-step explanation:
[tex] \frac{ \frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1} } \\ = \frac{ \frac{3 - 4(x - 1)}{x - 1} }{ \frac{2(x - 1) - 2}{x - 1} } \\ = \frac{3 - 4x + 4}{2x - 2 - 2} \\ = \frac{7 - 4x}{2x - 4} = \frac{ - 4x - 7}{2(x - 2)} \\ thank \: you[/tex]
[tex]option \: b \\ thank \: you[/tex]
i need help with this problem can someone help me!!!!
Answer:
x = 3 in
Step-by-step explanation:
From the Pythagorean theorem,
x² = 4²-7²
√(4²-√7²)
= √(16-7)
= √9
= 3 in
Answered by GAUTHMATH
What is the distance between (-1,2) and (-5, 2)
Answer:
4
Step-by-step explanation:
The distance between the points (-1,2) and (-5,2)
[tex] \sqrt{( - 5 - ( - 1)) ^{2} + (2 - 2) ^{2} } \\ = \: \sqrt{( - 4)^{2} + (0) ^{2} } \\ = \sqrt{16 + 0} \\ = \sqrt{16} \\ = 4[/tex]
Answered by GAUTHMATH
− 0.32 + 0.18 = 0.25 − 1.95
Answer:
Step-by-step explanation:
0.18-0.32 = .25-1.95
-0.14 = 1.70
obviously that equation above is not true, I suspect that there were some "x" variables on some of those numbers?
The table below shows how much Joe earns, y, after working x hours.
Joe’s Earnings
Hours worked
Money earned
4
$30
10
$75
12
$90
22
$165
The relationship between money earned and hours worked is linear. Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75). How do the two slopes compare?
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the x-axis.
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the y-axis.
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
The slope between (4, 30) and (12, 90) is less because 4 is a factor of 12 and 30 is a factor of 90.
Answer: Given : Joe’s Earnings and hour worked
The relationship between money earned and hours worked is linear.
Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75).
To Find : How do the two slopes compare?
Solution:
Hours worked Money earned
4 $30
10 $75
12 $90
22 $165
slope between (4, 30) and (12, 90),
= (90 - 30)/(12 - 4)
= 60/8
= 15/2
slope between (4, 30) and (10, 75)
= (75 - 30)/(10-4)
= 45/6
= 15/2
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
Both Slopes are same.
i hope this helped and have a nice day/night
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same. The correct answer is the third option.
The slope between two points (x₁,y₁) and (x₂, y₂) on a straight line is given by (y₂ - y₁)/(x₂ -x₁ ).
Let's calculate the slopes:
The slope between (4, 30) and (12, 90):
Slope = (90 - 30) / (12 - 4)
= 60 / 8
= 7.5
The slope between (4, 30) and (10, 75):
Slope = (75 - 30) / (10 - 4)
= 45 / 6
= 7.5
As we can see, the slopes between the two sets of ordered pairs are the same.
Thus, the slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
Hence, the correct answer is the third option.
Learn more about the slope of the line here:
brainly.com/question/14511992
#SPJ7
factorize the following numbers by Factor tree method
20
Answer:
tara specimen!
Step-by-step explanation:
1+2=3 ok
What is an equation that represents a line with a slope of -1/2 and crosses through the point (2,-3)
Answer:
y + 3 = -1/2(x - 2)
General Formulas and Concepts:
Algebra I
Coordinates (x, y)
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify
Point (2, -3)
Slope m = -1/2
Step 2: Find Equation
Substitute in variables [Point-Slope Form]: y - -3 = -1/2(x - 2)Simplify: y + 3 = -1/2(x - 2)quanto é 50% de 200
Answer:
50
Step-by-step explanation:
quanto é 50% de 200 and this the right answer
What is the length of the dotted line in the diagram below? Leave your answer in simplest radical form. HELP PLEASE
Answer:
11.7…?
Step-by-step explanation:
Small triangle and other triangle are similar based on sas theorem (I think) so find scale factor — 2— then do Pythagorean theorem
seventy of myra’s classmates are traveling by the bus to a football game in another town. they hired 2 buses, but there were only 64 seats. the remaining 6 students had to travel in a separate van the equation 2b+6=70 represents the given scenario. what does b represent
Answer:
The b represents the people on each bus.
Step-by-step explanation:
Answer:
C.the number of students who rode on each bus.
Step-by-step explanation:
What is the area, in square centimeters, of the isosceles trapezoid below
Answer:
39.48
Step-by-step explanation:
1/2(5.3+13.5)(4.2)
In this picture, the measure of angle theta is 1 radian.
A. True
B. False
*please include an explanation for answer*
Answer:
B
Step-by-step explanation:
A central angle of 1 radian occurs when the arc length is equal to the radius.
Here the radius is 2.5 in and the arc length is 2 in
Thus the statement is False
What is the value of x?
[tex] \frac{4}{5} x - \frac{1}{10} = \frac{3}{10} [/tex]
Answer:
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{5}[/tex] x - [tex]\frac{1}{10}[/tex] = [tex]\frac{3}{10}[/tex]
Multiply through by 10 ( the LCM of 5 and 10 ) to clear the fractions
8x - 1 = 3 ( add 1 to both sides )
8x = 4 ( divide both sides by 8 )
x = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]
211 base x is equal to 10110 base 2
Hello,
[tex](211)_x=(10110)_2\\\\2*x^2+x+1=22\\\\2x^2+x-21=0\\\Delta=1+4*2*21=169=13^2\\x=\dfrac{-1+13}{4}= 3\\or\\x=\dfrac{-1-13}{4}\ may\ not\ be\ negative\\\\[/tex]
x=3
Four friends all five each other presents
The total cost of presents is £80.52
Work out the mean cost of presents in pounds
Step-by-step explanation:
Four friends all give each other presents. The total cost of the presents is £80.52. We need to find the mean cost of a present in pounds. So, the mean cost of a present is equal to 20.13 .
using the formula of Sin 2A ,cos2a and tan 2a establish that; tab A is = +- root under 1 - cos 2A by 1 + cos 2a
Answer:
Step-by-step explanation:
Given identity is,
[tex]\text{tanA}=\pm\sqrt{\frac{1-\text{cos2A}}{1+\text{cos2A}}}[/tex]
To prove this identity, we will take left side of the identity,
[tex]\pm\sqrt{\frac{1-\text{cos2A}}{1+\text{cos2A}}}=\pm\sqrt{\frac{1-(1-2\text{sin}^2A)}{1+(2\text{cos}^2A-1)} }[/tex]
[tex]=\pm\sqrt{\frac{1-1+2\text{sin}^2A}{1+2\text{cos}^2A-1} }[/tex]
[tex]=\pm\sqrt{\frac{2\text{sin}^2A}{2\text{cos}^2A} }[/tex]
[tex]=\pm(\sqrt{\text{tan}^2A})[/tex]
[tex]=\text{tanA}[/tex] [Right side of the identity]
Hence, proved.
Find the least number which should be added to 6790 to make it a perfect square
Answer:
add 99 to 6790
Step-by-step explanation:
6790 +99 = 6889 which is 83 squared
f(x) = 2x^2 Find f (-6)
Answer:
[tex]72[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2[/tex]
replace x with -6
[tex]f(-6)=2(-6)^2[/tex]
exponent
[tex]f(-6)=2(36)[/tex]
multiply
[tex]f(-6)=72[/tex]
A caterer is agrranging 72 ham sandwiche and 48 pimento cheese sandwiches on serving trays. He would like to arrange the sandwiches so tht each tray has the same number of each kind of sandwich. The number of ham sandwiches on a tray does not need to equal the number of pimento cheese sandwiches on the tray. What is the maximum number of traysthe caterer can use? .
Answer:
24
Step-by-step explanation:
The greatest number of trays the caterer can split the 72 ham sandwiches and 48 pimento cheese sandwiches into can be determined by calculating the highest common factor and 48 and 72
Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Factors of 72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.
the highest common factor is 48 ad 72 is 24
Solve 2(1 – x) > 2x.
x < 2
x > 0.5
x < 0.5
x > 2
Answer:
x < 0.5
Step-by-step explanation:
Given
2(1 - x) > 2x ( divide both sides by 2 )
1 - x > x ( add x to both sides )
1 > 2x ( divide both sides by 2 )
[tex]\frac{1}{2}[/tex] > x , that is
x < [tex]\frac{1}{2}[/tex] OR x < 0.5
the 28th term of an ap is -5,find the common difference if the first term is 31
Answer:
The common difference is -4/3.
Step-by-step explanation:
Recall that the direct formula for an arithmetic sequence is given by:
[tex]\displaystyle x_n=a+d(n-1)[/tex]
Where n is the nth term, a is the initial term, and d is the common difference.
We are given that the first term a is 31.
We also know that the 28th term is -5. Hence, x₂₈ = -5. Substitute:
[tex]\displaystyle x_{28}=-5=(31)+d(28-1)[/tex]
Solve for d. Simplify:
[tex]-5=31+27d[/tex]
Thus:
[tex]\displaystyle 27d=-36[/tex]
Divide both sides by 27. Hence, the common difference is:
[tex]\displaystyle d=-\frac{36}{27}=-\frac{4}{3}[/tex]
Answer:
-4/3
Step-by-step explanation:
This question is equivalent to:
Find the slope of a line going through points (28,-5) and (1,31).
*Arithmetic sequences are linear. The common difference is the slope.
Any ways to find the slope line the points up and subtract vertically. Then put 2nd difference over 1st difference.
(28,-5)
(1,31)
---------subtracting
27, -36
So the slope or the common difference of this line or arithmetic sequence is -36/27. This reduces to -4/3.
Can someone help me pls
Answer:
c = (E/m)^1/2
Step-by-step explanation:
Here, we want to solve for c in the given equation
what we have here is that;
E = m•c^2
Thus;
c^2 = E/m
So we have
c^2(*1/2) = (E/m)^1/2
c = (E/m)^1/2
Dilate ΔABC by a factor of 2 (with the origin as the center of dilation) to form ΔA′B′C′. Measure the side lengths of the dilated triangle. Confirm that the ratio of corresponding side lengths of ΔABC and ΔA′B′C′ is equal to the scale factor of the dilation.
Answer:
Step-by-step explanation:
This is from PLATO
Determining the domain and range from a graph
Answer:
Domain = (-∞, ∞)Range = [-2, ∞)Explanation:
There are no restrictions are the domain; it can be any real number.There are no y-values less than -2, meaning the range of y-values must all be greater than or equal to -2, since -2 is the minimum value.Solve -5x + 5y = 15 and 3x – 2y=-8 by elimination
If someone can help that’d be brilliant
Step-by-step explanation:
-5x+5y=15(multiply by 2)
3×-2y=-8(multiply by 5)
-10×+10y=30
15×-10y=-40
5x=-10
x=-2
Here,
-5x+5y=15.......(I)
and
3x-2y=8.....(II)
Now,
adding 3 in eqn (II)
so, 6x-5y=8
Now,
combining eqn (I) &(II)
-5x+5y=15
+6x-5y=8
[both 5y is cancelled ]
or, x=7
Now,
in eqn(i)
-5x+5y=15
or, -5*7+5y=15
or, -35+5y=15
or, -35-15=-5y
or, -50=-5y
or, -50/-5=y
[minus is cancelled ]
Therefore, y=10 and x=7
Here are two spinners.
6
2
spinner A
spinner B
bome
4
3
2.
4
The two arrows are spun and the score is obtained
by multiplying the two numbers.
1
spinner A
6
2
6
6
12 18
10 2030
4
3
spinner B
a) Complete the possibility space.
5
b) What is the probability of scoring a total of 6?
c) What is the probability of scoring a total greater than 10?
Answer:
2/9 ; 4/9
Step-by-step explanation:
______SPINNER A_____
_____ 2 ____ 4 _____ 6
1 ____ 2 _____4 _____6
3____ 6 _____12____ 18
5____10_____20____30
4 * 3 = 12 ; 5 * 2 = 10 ; 5 * 6 = 30
Probability of scoring a total of 6 :
From the sample space ; Number of 6's = 2
Total sample space = 9
Recall : probability = required outcome / Total possible outcomes
P(total of 6) = 2 / 9
P(total greater than 10) :
Required outcome ; > 10 = (12, 18, 20, 30) = 4
P(total > 10) = 4 / 9
Step-by-step explanation:
b) what is the probability of scoring a total of 6?
b) = 2/9
C) what is the probation scoring a total greater than 10
c)= 3/9
Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?
Answer:
a-b divided into [tex]a^{3} + 0a^{2} b + 0 ab^{2} - b^{3}[/tex]
the reason is that the (a-b) vs (a+b) in the "SOAP"
same, opposite, always a plus the "-" in the "a-b" has to match the
sign between the two cubes
Step-by-step explanation:
PLEAS I NEED HELP WITH THIS ONE FAST MY DEAD LINE IS IN TEN MINUTES
Answer:
copper ?? the "slope" is 8.75
Step-by-step explanation: