The number of solutions of |x - 1| + |x - 3| = 2 is
Answer:
There are 3 intervals as following:
x ≤ 1
-(x - 1) - (x - 3) = 2-2x + 4 = 22x = 2x = 11 ≤ x ≤3
(x - 1) - (x - 3) = 22 = 2, any value of x in the same intervalx ≥ 3
(x - 1) + (x - 3) = 22x - 4 = 22x = 6x = 3Combining the all, we get:
1 ≤ x ≤3 or x = [1, 3]Segment overline BD bisects angle ABC . Solve for Round to the nearest tenth, if necessary (Image not necessarily to scale.)
Answer:
Hello,
Answer 52/3
Step-by-step explanation:
using the theorem of the bissector :
[tex]\dfrac{x}{13} =\dfrac{20}{15 } \\\\x=\dfrac{20*13}{15} \\\\x=\dfrac{52}{3}[/tex]
The value of x to the nearest tenth is 18.5
Pythagoras theoremTo get the value of x, we first need to get the height of the triangle.
[tex]h^2=20^2-15^2\\h^2=400-225\\h^2=175\\h=13.23[/tex]
Next is to get the value of x
[tex]x^2=13^2+13.2^2\\x^2=343.24\\x=18.52[/tex]
Hence the value of x to the nearest tenth is 18.5
Learn more on pythagoras theorem: https://brainly.com/question/343682
Find the value of a,b,c and x from the following figure
Answer:
L=110
d=110
b=70
a=70
c=110
Find the perimeter of the square. Be sure to write the correct unit in your answer.
21 yd
Perimeter is the distance around the outside.
A square has 4 equal sides:
Perimeter = 21 x 4 = 84 yards
Answer: Perimeter = 84 yd
Explanation:
Perimeter of square = 4 × side
Side = 21 yd
Perimeter = 4 × 21
= 84 yd
Must click thanks and mark brainliest
how do I answer these questions?
Answer:
cross multiplication would be the quickest technique that works to visualize this set of questions..
if [tex]\frac{a}{b} = \frac{c}{d}[/tex] then ad = bc
each item that does not have a denominator add a "1" as the denominator
so first item... [tex]\frac{sin(50)}{1} = \frac{x}{4}[/tex]
[tex]\frac{4 * sin(50) }{1} = x[/tex] x = [tex]4\sin \left(50^{\circ \:}\right)=3.06417\dots[/tex]
#b) [tex]3\tan \left(81^{\circ \:}\right)=18.94125[/tex]
#c) [tex]6\cos \left(33^{\circ \:}\right)=5.03202[/tex]
.
.
#g)[tex]7.1\tan \left(18.4^{\circ \:}\right)=2.36185[/tex]
Step-by-step explanation:
Answer:
First we extract the sin or the tan according to the question and multiply the number with the denominator and extract the x .
a)[tex] \sin(50) = \frac{x}{4} \\ 0.766 = \frac{x}{4} \\ x = 3.06[/tex]
b)[tex] \tan(81) = \frac{x}{3} \\ 6.31 = \frac{x}{3} \\ x = 18.93[/tex]
C)[tex] \cos(33) = \frac{x}{6} \\ 0.83 = \frac{x}{6} \\ x = 0.83 \times 6 \\ x = 4.98[/tex]
d)[tex] \cos(75 ) = \frac{x}{3.5} \\ 0.258 = \frac{x}{3.5} \\ x = 0.2588 \times 3.5 \\ x = 0.90[/tex]
e)[tex] \sin(24) = \frac{x}{4.2} \\ 0.406 = \frac{x}{4.2} \\ x = 0.406 \times 4.2 \\ x = 1.70 [/tex]
f)[tex] \tan(42) = \frac{x}{10} \\ 0.9 = \frac{x}{10} \\ x = 9[/tex]
g)[tex] \frac{x}{7.1} = \tan(18.4) \\ \frac{x}{7.1} = 0.33 \\ x = 0.33 \times 7.1 \\ x = 2.34[/tex]
h)[tex] \frac{x}{5.3} = \sin(64.7) \\ \frac{x}{5.3} = 0.9 \\ x = 4.77[/tex]
i)[tex] \frac{x}{12.6} = \cos(52.9) \\ \frac{x}{12.6} = 0.6 \\ x = 0.6 \times 12.6 \\ x = 7.56[/tex]
I hope I helped you^_^
Luz made a semicircular pendant with a radius of 8 centimeters to use on a key chain. She attached a wire around the edge of the pendant.
What is the approximate length of the wire she attached to the pendant?
41.13
50.27
The approximate length of the wire she attached to the pendant is 50.27
What is the approximate length of the wire she attached to the pendant?The radius is given as:
r = 8 cm
The approximate length of the wire she attached to the pendant is calculated as:
Length = 2pi r
Where
pi = 3.14
So, we have:
Length = 2 * 3.14 * 8
Evaluate the product
Length = 50.24
Hence, the approximate length of the wire she attached to the pendant is 50.27
Read more about circumference at:
https://brainly.com/question/14283575
#SPJ1
Answer: The answer is 41.13.
Step-by-step explanation: I took the quiz and none of the other answers were correct.
Will Give Brainliest!!! Answer ASAP
Answer:
I will assume that ABCD is a parallelogram.
1. In a parallelogram, opposite sides are congruent so 3x = 18 which means x = 6.
2. The diagonals of a parallelogram bisect each other so BE is half of BD, therefore, BD = 7.5.
3. Consecutive angles of a parallelogram are supplementary so m∠ADC = 180° - 135° = 45°.
4. Consecutive angles of parallelograms are supplementary so 2x + 10 + 135 = 180 → 2x + 145 = 180 → 2x = 35 → x = 17.5°.
5. Again, the diagonals bisect each other so -6 + 8v = 9v - 10 → v = 4.
6. DA || BC so ∠DAC and ∠ACB are (congruent) alternate interior angles, therefore, m∠DAC = 37°.
7. The area of a parallelogram is base * height; we know base = 18 and height = 21 u so area = 378 u.
factorize 49 - d² plz
Answer:
(7-d)(7+d)
Step-by-step explanation:
49 - d^2
Rewriting
7^2 - d^2
We know that a^2 - b^2 = (a-b)(a+b)
(7-d)(7+d)
The answer you are looking for is -(d+7)(d-7).
Susan wants to buy cherries for a party. She has $8.00 to spend. Cherries are $2.75/kg. How many kilograms of cherries can Susan buy? Round to the nearest tenth. Use complete sentences to describe how you would solve this question. Be sure to explain how you round the answer.
Answer: you would have to divide $8.00/$2.75 and it would equal $2.90
Step-by-step explanation: This may help and if it does please thank me in the comments.
Answer:
Susan can purchase 2.9 kg of cherries.
Step-by-step explanation:
We need to take the amount of money available and divide by the cost of cherries per kilogram
$8.00 / $2.75 per kg
2.909090909 kg
Rounding to the nearest tenth, the solution is 2.9 kg
Susan can purchase 2.9 kg of cherries.
Is it true or false that this is the graph of f(x) = 3^x?
Answer: False, this is not the graph of f(x) = 3^x
=====================================================
Explanation:
Plug in x = 0 to get
f(x) = 3^x
f(0) = 3^0
f(0) = 1
That means (0,1) is on the graph. So far so good.
-------
But let's try x = 1
f(x) = 3^x
f(1) = 3^1
f(1) = 3
Meaning (1,3) should be on the graph of y = 3^x. Instead, the graph shows (1,4) is on the red curve. We don't have a match.
The red curve shows the equation y = 4^x.
Plzz help me with this question my class test is going on
Step-by-step explanation:
2x+3y+5+4x-7y-8
2x+4x+3y-7y+5-8
6x-4y-3
Answer:
6x - 4y - 3
Step-by-step explanation:
They are basically telling you to sum both equations. So,
(2x + 3y + 5) + (4x - 7y - 8)
= 2x + 4x + 3y - 7y + 5 - 8
= 6x - 4y - 3
The graphic below shows a protractor, which is used to measure angles. What is the level of accuracy of this measurement tool? its a projractor
Step-by-step explanation:
A protractor is a handheld to use in measuring angles. It is most cases made up of plastic or glass materials, and can accurately measure angles of circles up to 180°.
However, when measuring straight lengths, a ruler or tape has better measuring accuracy than the protector.
This event is independent, true or false?
There are eight shirts in your closet, four blue and four green. You randomly select one to wear on Monday and then a different one on Tuesday.
Answer:
False
Step-by-step explanation:
Because the question says you pick a different shirt on Tuesday than on Monday, that means you have one less shirt you can select, so the event is dependent.
Evaluate 2a + c if a = 2 and c = -1
Answer:
[tex]2a + c \\ a = 2 \\ c = - 1 \\ then \: 2 \times 2 + - 1 \\ = 4 - 1 = 3 \\ thank \: you[/tex]
(x+4)^2 - (x-6)^2 - (x-1)*(x+1)
Answer:
-9
Step-by-step explanation:
How can you change a rational number to a decimal? Can you give an exsample?
Answer:
1/2=0.5
Step-by-step explanation:
¼=0.25
¾=0.75
If you have to invest in an account that pays 5.3 compound annually, after 10 years how much interest is earned
[tex]\\ \sf\longmapsto Interest=Rate\times Time[/tex]
[tex]\\ \sf\longmapsto Interest=5.3(10)[/tex]
[tex]\\ \sf\longmapsto Interest =53[/tex]
It means that if your principal is $100 after 10years you will receive $53 as interest
Step-by-step explanation:
[tex]thank \: you[/tex]
The volume of a sphere is * cubic centimeters. What is the radius?
Answer:
Given volume= 32/3 π
Now, we know that volume of sphere = 4/3 π r³ according to the question.
[tex]\frac{4}{3} \pi r^{3} =\frac{32}{3} \pi[/tex]
Both π and 3 are canceled from both sides
Now,
[tex]4r^{2} =32[/tex]
Divide both sides by 4
[tex]r^{3} =\frac{32}{4} =8[/tex]
[tex]r^{3} =8[/tex]
[tex]r=(8)^{1/3} =(2\times 2 \times 2)^{1/3}[/tex]
[tex]r=(2^{3} )^{1/3} =2^{3\times1/3}[/tex]
[tex]r=2 \; cm[/tex]
Radius of sphere = 2 cm
OAmalOHopeO
STAT question please help me TT
Answer:
C
because if you arrange orderly ie in an ascending order or a descending order,the middle number is the median and median means average
Solve for y.
y/-1 +-7=-11
Answer:
y = 4
Step-by-step explanation:
Move all terms not containing y to the right side of the equation.
-y = -4
Multiply each term in − y = − 4 by − 1
y = 4
Hope this can help you
Pls help answer, also explain. I will give brainliest
Answer:
8 lb box
Step-by-step explanation:
Find which laundry detergent has a lower unit price
The unit price is how much something costs for a single unit
In this case, it is how much the detergent costs for 1 pound
7.4/8 lbs = 0.925 dollars per lb
5.38/4 lbs = 1.345 dollars per lb
Since 1.345 > 0.925, the 8 lb box is a better buy
Case 1
Cost of 8 pound detergent = $7.40
So, cost of 1 pound detergent
= $7.40 ÷ 8
= $0.925
Case 2
Cost of 8 pound detergent = $5.38
So, cost of 1 pound detergent
= $5.38 ÷ 4
= $1.345
$0.925 < $1.345
$0.925 < $1.345So, cost per pound in 8 pound box < cost per pound in 4 pound box
So, buying the 8 pound box is better.
What is the other endpoint of a segment with a midpoint of M(6, 1) and an endpoint S(5,-3)?
ANSWERS ASAP!!!!
Answer:
(7, 5)
Step-by-step explanation:
(x+5)/2, ( y-3)/2)=(6,1)
(x+5)/2=6, x= 7
( y-3)/2=1, y=5
For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range.
Answer:
Ok, our function is:
f(x) = 3*(x - 1)^2 + 2.
First, domain:
We should assume that the domain is all the set of real numbers, and then we see if for some value we have a problem.
In this case we do not see any problem (we can not have a zero in the denominator, and there is no function that has problems with some values of x)
Then the domain is the set of all real numers.
Vertex:
Let's expand our function:
f(x) = 3*x^2 - 3*2*x + 1 + 2
f(x) = 3*x^2 -6*x + 2
The vertex of a quadratic function:
a*x^2 + b*x + c is at:
x = -b/2a
here we have:
a = 3 and b = -6
x = 6/2*3 = 6/6 = 1.
And the value of y at that point is:
f(1) = 3*(1 - 1)^2 + 2 = 2
Then the vertex is at: (1, 2)
Range:
The range is the set of all the possible values of y.
Ok, we can see that the leading coefficient is positive, this means that the arms of our quadratic function will go up.
Then the minimal value of our quadratic function is the value at the vertex, y = 2.
This means that the range can be written as:
R = y ≥ 2
So the range is the set of all real numbers that are larger or equal than 2.
simplify 3^2/3 x 3^4/5
Answer: [tex]243/5[/tex]
[tex]3^2/3(3^4)/5\\=9/3(3^4)/5\\=3(3^4)/5\\=(3)(81)/5\\=243/5[/tex]
The slope of the line whose equation is x + y = 6 is: -1 1 6
Answer:
the slope of the line x+y = 6 is -1.
Step-by-step explanation:
slope = - coefficient of x
----------------------
coefficient of y
slope = -1 /1
slope = -1
Answer:
A: -1
Step-by-step explanation:
The diameter of a cone is 34 ft. The height is 16 ft. What is the volume in cubic ft?
Step-by-step explanation:
Hi there!
From the given Question, we have;
Diameter (d) = 34ft
Height (h) = 16ft
Now;
Radius (r) = d/2
= 34/2
= 17 ft
Now;
Volume (v) = 1/3(πr²h)
= 1/3(3.14 * 17² * 16) ft³
= 4839.78 ft³
Therefore, the Volume is 4839.78 ft³.
Hope it helps!
What us 6+8(4w-7)-(2w+1)
Answer:
30w-51
Step-by-step explanation:
6+8(4w-7)-(2w+1)
Distribute
6 + 32w-56 -2w-1
Combine like terms
32w-2w +6-56 -1
30w-51
Answer:W=1.7
Step-by-step explanation: Simplifying
0 = 6 + 8(4w + -7) + -1(2w + 1)
Reorder the terms:
0 = 6 + 8(-7 + 4w) + -1(2w + 1)
0 = 6 + (-7 * 8 + 4w * 8) + -1(2w + 1)
0 = 6 + (-56 + 32w) + -1(2w + 1)
Reorder the terms:
0 = 6 + -56 + 32w + -1(1 + 2w)
0 = 6 + -56 + 32w + (1 * -1 + 2w * -1)
0 = 6 + -56 + 32w + (-1 + -2w)
Reorder the terms:
0 = 6 + -56 + -1 + 32w + -2w
Combine like terms: 6 + -56 = -50
0 = -50 + -1 + 32w + -2w
Combine like terms: -50 + -1 = -51
0 = -51 + 32w + -2w
Combine like terms: 32w + -2w = 30w
0 = -51 + 30w
Solving
0 = -51 + 30w
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-30w' to each side of the equation.
0 + -30w = -51 + 30w + -30w
Remove the zero:
-30w = -51 + 30w + -30w
Combine like terms: 30w + -30w = 0
-30w = -51 + 0
-30w = -51
Divide each side by '-30'.
w = 1.7
Simplifying
w = 1.7
The sum of three times a number and 6 is 4 times the difference of a number and "-3"
Answer:
x = 30
Step-by-step explanation:
i hope it help, sorry if its wrong
Drag the labels to the correct locations on the table. Each label can be used more than once.
Match each function to all of the function types it belongs to.
Linear
Quadratic
Exponential
Polynomial
f(x) = 2x + 3
f(x) = x2 + 2x - 3
f(x) = 3* - 2
Answer:
Linear f(x) = 2·x + 3
Quadratic f(x) = x² + 2·x - 3
Exponential f(x) = 3ˣ - 2
Step-by-step explanation:
1) Linear function
The general form of the linear equation is of the form, f(x) = y = m·x + c
Where;
m = The slope
c = y-intercept (Constant)
The linear function is therefore, f(x) = 2·x + 3
2) Quadratic function
The general form of the quadratic function is f(x) = a·x² + b·x + c
Where;
a, and b are the coefficients of x² and x respectively and c is the constant term
Therefore, f(x) = x² + 2·x - 3, is a quadratic function, with a = 1, b = 2, and c = -3
3) Exponential function
The general form of the exponential function is f(x) = a·bˣ + k
Where;
a = The initial
b = The multiplier (growth or decay value)
k = vertical shift
Therefore, the function f(x) = 3ˣ - 2 is an exponential function with the initial = 1, b= 3, and k = -2
solve for x 3x - 4 = 3x - 10
Answer:
no solution
Step-by-step explanation:
3x - 4 = 3x - 10
Subtract 3x from each side
3x-3x - 4 = 3x-3x - 10
-4 = -10
This is never true so there is no solution
Answer:
Step-by-step explanation:
I think you might have copied down the problem incorrectly.
If you try and solve this problem by moving the variables onto one side and the constants onto the other, you get:
3x-4=3x-10
+10 +10
3x+6=3x
-3x -3x
6=0 (which is FALSE)
Hope this helps!
P.S. Please give me brainliest. Thanks :)