Answer:
False
Step-by-step explanation:
This is not necessarily true because there are 2 types of these triangles, a 40-70-70 triangle or a 40-40-100 triangle. Since their angle measures are different, they are not similar.
Find 3 rational number between: 1) -5 and -6 2)
Answer:
3 rational numbers between -5 and -6 include -5.6, -5.7, and -5.1.
Step-by-step explanation:
Answer:
-5.2, -5.6, and -5.8.
Step-by-step explanation:
3 rational numbers between -5 and -6.
-5 > x > -6
Where x is a rational number, that can be expressed in p/q form.
The numbers can be -5.2, -5.6, and -5.8.
-5.2 = -26/5
-5.6 = -28/5
-5.8 = -29/5
The numbers can be expressed in p/q form, so they are rational.
What is the start velocity of a javelin accelerated at 3.75 m/s2 for 2 seconds, and reaching 9375 m/s?
Answer:
Step-by-step explanation:
u = ?
a = 3.75m/s^2
t = 2 s
v = 9375m/s
a = v-u/t
3.75 = 9375 - u / 2
3.75 × 2 = 9375 - u
7.5 = 9375 - u
u = 9375 - 7.5
= 9367.5 m/s
Hope this helps
plz mark as brainliest!!!!!!!
the values of x and y vary diectly and one pair of values are given write an equation that relates x and y if x=-5 and y=10
Answer:
2x = -y
Step-by-step explanation:
What is the midpoint of a line segment with endpoints at (0,-4) and (0,4)?
Answer: (0,0)
Step-by-step explanation:
Which of the following systems of nonlinear inequalities is graphed below?
Answer:
the correct answer is C.
if f(x)=4ˣ-8 and g(x)=5x+6, find (f-g) (x)
Answer:
(f-g) (x) is
[tex] {4}^{x} - 5x - 14[/tex]
Step-by-step explanation:
f(x)=4ˣ - 8
g(x)=5x+6
(f-g) (x) is
[tex] {4}^{x} - 8 \: - (5x + 6) \\ {4}^{x} - 8 - 5x - 6[/tex]
The final answer is
[tex] {4}^{x} - 5x - 14[/tex]
Hope this helps you.
Amy must form a three-letter arrangement using only letters from the word dice. She cannot use a letter more than once in the arrangement. (Her arrangement doesn't need to be a valid word.) The probability that Amy forms an arrangement that begins and ends with vowels is _____. The probability that Amy forms an arrangement whose letters are in alphabetical order (ascending or descending) is ______.
Answer #1: [tex]\frac{1}{2}[/tex]
Answer #2: [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
__ __ __
There are 4 × 3 × 2 possibilities. For the first question, "The probability that Amy forms an arrangement that begins and ends with vowels is _____." To have a her word end in a vowel, then her word will have to end in either 'e', or 'i'. For this to be possible there are two possibilities for the last letter. Then the middle letter will have three possibilities because one letter will have been used for the last one. Finally, there will be two more possibilities for the letter at the end. That's 2 × 3 × 2 possibilities.
To get a word whose arrangement is in alphabetical order either backwards or forwards I just listed possibilities:
CDE
CDI
CEI
IDC
IEC
IED
There are six in all which means the answer to problem two is six out of twenty four.
A is 0.5 and b is 1
When no K is divided by 27, 30, or 45, the remainder is 3. Find the smallest possible value of K. Can someone send me the calculation please?
Answer:
3 is the answer
Which of the following best describes the slope of the line below?
A. Zero
B. Positive
C. Negative
D. Undefined
Answer:
C. Negative
Step-by-step explanation:
We know that
The farther right this line goes the further it goes down.
This is a negative slope.
If this line was directly vertical it would be undefined.
If it was horizontal it would be zero.
Answer:C
Step-by-step explanation:
Y is always decreasing and X increases and Y is always increasing one X is decreasing this is why it’s a negative slope.
10. The sum of two numbers is 13 more than twice the first number. Their difference is 14 less than the second number. Find each of the numbers.
The sum of two numbers is 13 more than twice the first number:
x + y = 2x +13
x - y = y - 14
solve the system of equations:
x - (x + 13) = (x +13) - 14
x = -12
y = 1
Find the area of the triangle.
Answer:
17.7 cm^2
Step-by-step explanation:
Use trig to find the height of the triangle. Then the area is bh/2.
Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.
Use triangle ABD to find the height, AD, of triangle ABC.
For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.
sin B = opp/hyp
sin 37 deg = AD/13.1
AD = 13.1 * sin 37 deg
AD = 7.9
AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.
area = bh/2
area = (4.5 cm)(7.9 cm)/2
area = 17.7 cm^2
Round 0.0008873319 to 2 significant figures
Answer:
0.00089.
Step-by-step explanation:
The third significant figure is 7 so we round up the 8,
Which of the following is equal to the polynomial given above?
Answer:
its the last one
Step-by-step explanation:
Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8). x + y =
Answer:
2x -3y = 19
Step-by-step explanation:
For the two points (8, -1) and (2, -5), the two-point form of the equation of a line is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-5-(-1))/(2 -8)(x -8) +(-1)
y = -4/-6(x -8) -1
3y = 2x -16 -3 . . . . multiply by 3
2x -3y = 19 . . . . . . rearrange to standard form
__
The point-slope form is y +1 = 2/3(x -8). It helps to have all the numbers.
Answer:
2x + -3y = 19
Step-by-step explanation:
I promise
Calculate the distance between the points G=(-9, 8) and H=(-2, 2) in the coordinate plane.
Give an exact answer (not a decimal approximation).
10+
8
Distance: 0
+
-10-8
-6
-4
- 2
2
6
8
10
-S
-10
Answer:
[tex]\sqrt{153}[/tex]
Step-by-step explanation:
Using Pythagoras in 3D.
[tex]a^2+b^2=c^2[/tex] (The distance between two points in a direction)
For the x-plane.
[tex](-9)^2+(-2)^2=c^2\\85=c^2\\c=\sqrt{85}[/tex]
For the y-plane.
[tex]8^2+2^2=c^2\\68=c^2\\c=\sqrt{68}[/tex]
Finding the shortest distance between those two points.
[tex]\sqrt{68}^2+\sqrt{85}^2=c^2\\68+85=c^2\\153=c^2\\c=\sqrt{153}[/tex]
solve for x. 7x+4=30
Answer: x≈3.7
Step-by-step explanation:
7x+4=30
-4 on both sides
30-4=26
7x=26
divide 7 on both sides
x=3.7142...
Answer:
3.7
Step-by-step explanation:
7x+4=30
7x=30-4
7x=26
26/7
3.7
two number are on the ratio 2:3.if 12 is added to both the numbers,ratio becomes 5:6.find the numbers
Answer:
The numbers are: 8 , 12
Step-by-step explanation:
Ratio of two numbers = 2:3
Two numbers are : 2x , 3x
[tex]\frac{2x +12}{3x +12}=\frac{5}{6}\\\\[/tex]
Cross multiply,
6*(2x + 12) = 5*(3x+12)
6*2x +6*12 = 5*3x + 5*12
12x + 72 = 15x + 60
72 - 60 = 15x - 12x
12 = 3x
3x = 12
x = 12/3
x = 4
2x = 2*4 = 8
3x = 3*4 = 12
The numbers are: 8 , 12
Worker A could paint a whole room in 2 hours. Worker B could paint a whole room in 3 hours.
How many parts of the room could both of them paint in 1 hour if worker A and worker B worked together.
half of room because worker A can paint fast so he will paint fast
Answer:
5/6 of the room would be painted if both of them painted the room together in 1 hour
Step-by-step explanation:
Work done by A in 1hour=1/2
Work done by B in 1hour=1/3
Therefore total work done by both in 1hr=1/2+1/3
LCM of 2 and 3 is 6
therefore 1/2+1/3=3/6+2/6=5/6
Clara found the product of 3 – 6y2 and y2 + 2. Her work is shown below. (3 – 6y2)(y2 + 2) = 3(y2) + (–6y2)(2) = 3y2 – 12y2 = –9y2 Is the student’s work correct? No, she did not multiply –6y2 by 2 correctly. No, she did not add 3y2 and –12y2 correctly. No, she did not use the distributive property correctly. Yes, she multiplied the binomials correctly.
Answer:
No, She did not use the distributive property correctly.
Step-by-step explanation:
While multiplying [tex](3-6y^2)(y^2+2)[/tex], he did not use distributive property correctly. She only multiplied 3 with [tex]y^2[/tex] and not with 2. Also she multiplied [tex]-6y^2[/tex]only with 2 and not with [tex]y^2[/tex].
Answer:No, She did not use the distributive property correctly.
Which number(s) below belong to the solution set of the inequality? Check all that apply x + 30 < 60 a.300 b.1 c.29 d.30 e.50 f.45
Answer:
b and c
Step-by-step explanation:
x+30<60 -->x < 60 -30 = 30 --> x < 30
Answer:
B and C
Step-by-step explanation:
We can solve for x in the inequality just like you do when solving algebra equations of an = sign.
x + 30 < 60
x + 30 - 30 < 60 -30
x < 30
"<" means the number on the left is smaller than the number on the right. Both numbers must not be equal to each other.
Since x is smaller than 30, and is not 30,
the only option that is correct is B, 1 and C, 29.
Alice and Bob each have a certain amount of money. If Alice receives $n$ dollars from Bob, then she will have $4$ times as much money as Bob. If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
Answer: 31 : 9
Step-by-step explanation:
Assume the following:
Alice's amount = P
Bob's amount = Q
Amount received = n
If Alice receives $n$ dollars from Bob ;then she will have $4$ times as much money as Bob.
P + n = 4(Q - n)
P + n = 4Q - 4n
P = 4Q - 4n - n
P = 4Q - 5n - - - - (1)
If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob
P - n = 3(Q + n)
P - n = 3Q + 3n
P = 3Q + 3n + n
P = 3Q + 4n - - - - - - (2)
Equating both equations - (1) and (2)
4Q - 5n = 3Q + 4n
4Q - 3Q = 4n + 5n
Q = 9n
Express P in terms of n, use either equation (1) or (2)
From equation 2:
P = 3Q + 4n
Substituting Q = 9n
P = 3(9n) + 4n
P = 27n + 4n
P = 31n
Alice's amount = P, Bob's = Q
Ratio = P:Q
31 : 9
Answer:
31:9
Step-by-step explanation:
Let $A$ and $B$ be the amount of money Alice and Bob have, respectively, at the beginning. We know that
\begin{align*}
A + n &= 4(B - n),\\
A - n &= 3(B + n).
\end{align*}
Simplifying, we have
\begin{align*}
A + 5n &= 4B, \\
A &= 3B + 4n.
\end{align*}Subtracting the first equation from the second gives $5n = B - 4n$, so $B = 9n$. Substituting this into the first equation gives $A + n = 4(9n - n)$, from which we get $A = 31n$.
Therefore, the desired ratio is $\frac{A}{B} = \frac{31n}{9n} = \boxed{\dfrac{31}{9}}$.
Expand the following bracket -8(2d-3)
Answer:
-16d+24
Step-by-step explanation:
=> -8(2d-3)
Expand the brackets and use distributive property.
=> (-8 × 2d)+(-8 × -3)
Multiply
=> (-16d) + (24)
=> -16d+24
Answer:
-16d + 24
Step-by-step explanation:
-8(2d - 3)
Expand or distribute.
-8(2d) -8(-3)
Multiply the terms.
-16d + 24
120 decreased by 45%
Answer:
Try 66 For your answer......
hola por favor ayudame
Answer:
119
Step-by-step explanation:
X + 1/x = 11
X^2 + 1/x^2 = 119
(X + 1/x)^2
Work out 1/2 x 7 giving you answer as a mixed number.
Answer:
[tex]3 \frac{1}{2} [/tex]
solution,
[tex] \frac{1}{2} \times 7 \\ = \frac{1 \times 7}{2} \\ = \frac{7}{2} \\ = 3 \frac{1}{2} [/tex]
Hope this helps...
Good luck on your assignment....
The answer in mixed number is written as [tex]3\dfrac{1}{2}[/tex]
The given expression is [tex]\dfrac{1}{2} \times 7[/tex].
Mixed fraction is composed of an integer with a proper fraction.
A proper fraction is one which has numerator's value smaller than that of denominator.
The conversion will go like shown below:
[tex]\begin{aligned}\dfrac{1}{2} \times 7&= \dfrac{7}{2}\\&= \dfrac{3 \times 2 + 1 }{2}\\&= 3 + \dfrac{1}{2}\\&= 3\dfrac{1}{2}\end{aligned}[/tex]
Thus, the resultant mixed number of given expression will be given as [tex]3\dfrac{1}{2}[/tex]
Learn more here:
https://brainly.com/question/236680
Find the midpoint of the line segment with end coordinates of: (1,7) and (3,−2) Give coordinates as decimals where appropriate.
Answer:
(2, 2.5 )
Step-by-step explanation:
Using the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (1, 7) and (x₂, y₂ ) = (3, - 2) , thus
midpoint = [[tex]\frac{1}{2}[/tex](1 + 3), [tex]\frac{1}{2}[/tex] (7 - 2) ] = (2, 2.5 )
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely, then place the answer in the proper location on the grid. x 3 - y 3
Answer:
The factors of [tex]x^{3}-y^{3}[/tex] are [tex][(x-y)(x^{2}+xy+y^{2})][/tex].
Step-by-step explanation:
We know that:
[tex]x^{3}+y^{3}=(x+y)(x^{2}-xy+y^{2})[/tex]
Compute the factors of [tex]x^{3}-y^{3}[/tex] as follows:
[tex]x^{3}+(-y)^{3}=(x+(-y))(x^{2}-x(-y)+(-y)^{2})[/tex]
[tex]x^{3}-y^{3}=(x-y)(x^{2}+xy+y^{2})[/tex]
Thus, the factors of [tex]x^{3}-y^{3}[/tex] are [tex][(x-y)(x^{2}+xy+y^{2})][/tex].
Please answer it now in two minutes
Answer:
vwt and xwy
Step-by-step explanation:
let me know if you need an explanation!
Answer:
the answer is angle VWT and angle XWY
if the 50th and 51st terms of an arithmetic sequence are 140 and 142, find the 1st term
Answer:
The first term is 42.
Step-by-step explanation:
The common difference is 142 - 140 = 2 so we have
50th term = a1 + 2(50 -1) = 140 where a1 is the first term
a1 + 98 = 140
a1 = 140 - 98 = 42.
What is the remainder of (4x2 + 7x-1)= (4 + x)?
A. -9x – 1
B.23x – 1
C.35
D.-37
Answer: I don't know what you meant by remainder but i hope this helps :)
[tex]x=\frac{-3+\sqrt{29}}{4},\:x=-\frac{3+\sqrt{29}}{4}\\[/tex]
Step-by-step explanation:
[tex]\left(4x^2+7x-1\right)=\left(4+x\right)\\\mathrm{Refine}\\4x^2+7x-1=4+x\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\4x^2+7x-1-x=4+x-x\\Simplify\\4x^2+6x-1=4\\\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}\\4x^2+6x-1-4=4-4\\\mathrm{Simplify}\\4x^2+6x-5=0\\\mathrm{For\:}\quad a=4,\:b=6,\:c=-5:\\\quad x_{1,\:2}=\frac{-6\pm \sqrt{6^2-4\times \:4\left(-5\right)}}{2\times \:4}[/tex]
[tex]\frac{-6+\sqrt{6^2-4\times \:4\left(-5\right)}}{2\times \:4}\\=\frac{-6+\sqrt{6^2+4\times \:4\times \:5}}{2\times \:4}\\=\frac{-6+\sqrt{116}}{2\times \:4}\\=\frac{-6+\sqrt{116}}{8}\\\\Let\: simplify\: ; -6+2\sqrt{29}\\=-2\times \:3+2\sqrt{29}\\=2\left(-3+\sqrt{29}\right)\\=\frac{2\left(-3+\sqrt{29}\right)}{8}\\=\frac{-3+\sqrt{29}}{4}\\[/tex]
[tex]\frac{-6-\sqrt{6^2-4\times \:4\left(-5\right)}}{2\times \:4}\\\\=\frac{-6-\sqrt{6^2+4\times \:4\times \:5}}{2\times \:4}\\\\=\frac{-6-\sqrt{116}}{2\times \:4}\\\\=\frac{-6-2\sqrt{29}}{8}\\\\=-\frac{2\left(3+\sqrt{29}\right)}{8}\\\\=-\frac{3+\sqrt{29}}{4}\\\\\\x=\frac{-3+\sqrt{29}}{4},\:x=-\frac{3+\sqrt{29}}{4}[/tex]
Answer:
C. 35
Step-by-step explanation:
The synthetic division is shown below. The remainder is the number at lower right of the array, 35.
The remainder from division by x+4 is also the value of the quadratic evaluated at x=-4:
4x² +7x -1 = (4x +7)x -1
= (4(-4) +7)(-4) -1 = (-16 +7)(-4) -1 = 36 -1 = 35