Answer:
-1
Step-by-step explanation:
The formula to find the slope of a line is:
[tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]
where (x1, y1) and (x2, y2) are points on the line. We can substitute the points (-10, 0) and (-13, 3) into the formula and simplify:
[tex]\frac{3-0}{-13-(-10)} =\frac{3}{-13+10} =\frac{3}{-3} =-1[/tex]
This means the slope of the line is -1.
One triangle has an angle of 81 degrees and the corresponding angle of the other triangle is 2x - 5 degrees, find the value of x?
Answer:
[tex]x=43[/tex]
Step-by-step explanation:
Corresponding angles are equal. It is implied that the two angles referred to in the triangles are equal, otherwise they should not be labelled as corresponding.
Therefore, we can set both equations equal to each other:
[tex]2x-5=81^{\circ}[/tex]
Add 5 to both sides:
[tex]2x=86[/tex]
Divide both sides by 2:
[tex]x=\frac{86}{2}=\boxed{43}[/tex]
Find x from this triangle
Hello,
we are going to use the theorem of the bissectrice. (if this word is good in english)
[tex]\dfrac{KL}{LM} =\dfrac{KN}{NM} \\\\\dfrac{8}{x} =\dfrac{14}{20-x} \\\\8(20-x)=14x\\\\160-8x=14x\\\\22x=160\\\\x=\frac{160}{22} \\\\x=\frac{80}{11} \\\\\\x=7.\overline{27}[/tex]
4.OA.2: The Turner family uses 548 liters of water per day. The Hill family uses 3 times as much water per day. How much more water does the Hill family use per day?
Answer:
1096 more water
Step-by-step explanation:
Let;
x = the water used in general
but used 3 times of the original = 3x
3*(548) = 1644 water a day
How much more water =New - original
where:
new = 1644
original= 548
1644 - 548
=1096 more water
Describe fully the single transformation that maps triangle A onto triangle B
Answer:there’s needs to be an image
Step-by-step explanation:
Joe drinks some milk every day. The graph shows the proportional
relationship of how many liters of milk Joe drinks to number of days.
Find the amount of milk he drinks in 7 days.
====================================
Explanation:
Draw a vertical line up from x = 7 until you reach the diagonal red line. Mark point P at this location. Then from point P, move horizontally until you reach the y axis. You should get to y = 14.
See the diagram below.
The equation of this red line is y = 2x. Whatever the input x is, we double it to get y. So if x = 7, then y = 2x = 2*7 = 14
This means that Joe drinks 14 liters of milk in 7 days. Or you could say his rate is 14 liters per week.
Answer:
The correct answer is 14 liters
Step-by-step explanation:
When you look at the graph you can count the grid squares. In one day Joe drinks 2 liters of milk. So 7 times 2 is 14. That is your answer
Let me know if I did anything wrong. :)
how many divisors does 56 have?
Answer:
1,2,4,7,8,14,28,56 those are the divisors for 56
Step-by-step explanation:
hope that helps >3
56 7*2^3 1,2,4,7,8,14,28,56
I need help. Someone please figure it out
Answer:
[tex]\frac{1}{2^{n} }[/tex]
Step-by-step explanation:
The rules of exponents state that
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] and [tex]a^{0}[/tex] = 1
Thus
[tex]2^{-5}[/tex] = [tex]\frac{1}{2^{5} }[/tex] = [tex]\frac{1}{32}[/tex]
[tex]2^{-4}[/tex] = [tex]\frac{1}{2^{4} }[/tex] = [tex]\frac{1}{16}[/tex]
[tex]2^{-3}[/tex] = [tex]\frac{1}{2^{3} }[/tex] = [tex]\frac{1}{8}[/tex]
and so on , to
[tex]2^{0}[/tex] = 1
What is the answer to this question
Determine the values of xfor which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001.(Enter your answer using interval notation. Round your answer to four decimal places.)
Answer:
The values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Determine the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001. f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0
The explanation of the answer is now provided as follows:
Given:
f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0 …………….. (1)
[tex]R_{3}[/tex] = (x) = (e^z /4!)x^4
Since the aim is [tex]R_{3}[/tex](x) < 0.001, this implies that:
(e^z /4!)x^4 < 0.0001 ………………………………….. (2)
Multiply both sided of equation (2) by (1), we have:
e^4x^4 < 0.024 ……………………….......……………. (4)
Taking 4th root of both sided of equation (4), we have:
|xe^(z/4) < 0.3936 ……………………..........…………(5)
Dividing both sides of equation (5) by e^(z/4) gives us:
|x| < 0.3936 / e^(z/4) ……………….................…… (6)
In equation (6), when z > 0, e^(z/4) > 1. Therefore, we have:
|x| < 0.3936 -----> 0 < x < 0.3936
Therefore, the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.
Which function has a vertex at (2, 6)?
O f(x) = 2|x – 2| – 6
O f(x) = 2|x – 2| + 6
Of(x) = 2|x + 2| + 6
Of(x) = 2|x + 2| - 6
Answer:
B
Step-by-step explanation:
Trust me bro. It’s “B.”
What is X if
[-1 -2] +X = [-5 -1]
[4 8] [ 2 1]
A)
[-6 -3]
[6 9]
B)
[-6 -3]
[-2 -7]
C)
[-4 1]
[-2 -7]
Answer:
I think that ans is A.....
BD=16 and AC is the perpendicular bisector of BD
Answer:
AC =
Step-by-step explanation:
AC = 16/2
= 8
THAT IS THE SOLUTION ABOVE
0,5.[tex]\sqrt{0,09}[/tex]-2.[tex]\sqrt{0,05}[/tex]+[tex]\sqrt \frac{1}{4}[/tex]
Answer:
0.21
Step-by-step explanation:
The given expression is :
[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}[/tex]
We need to solve it.
We know that,
[tex]\sqrt{0.09}=0.3\ and\ \sqrt{0.05}=0.223[/tex]
So,
[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}=0.5\times 0.3-2\times 0.22+0.5\\\\=0.21[/tex]
or
[tex]=\dfrac{21}{100}[/tex]
So, the value of the given expression is equal to 0.21.
A lunch menu consists of 2 types of tortillas and 5 different fillings. How many choices are there for ordering a burrito with one filling?
Answer:
You can choose between 10 different choices.
Step-by-step explanation:
Given that a lunch menu consists of 2 types of tortillas and 5 different fillings, to determine how many choices are there for ordering a burrito with one filling, the following calculation must be performed:
2 x 5 = X
10 = X
Therefore, you can choose between 10 different choices.
If 2.2 pounds = 1 kilogram and Mary weighs 120 pounds, how much does she weigh in
kilograms?
Given:
2.2 pounds = 1 kilogram
Weight of Mary = 120 pounds.
To find:
The weight of Marry in kilograms.
Solution:
We have,
2.2 pounds = 1 kilogram
Using this conversion, we get
1 pound = [tex]\dfrac{1}{2.2}[/tex] kilogram
120 pound = [tex]\dfrac{1}{2.2}\times 120[/tex] kilogram
= [tex]\dfrac{120}{2.2}[/tex] kilogram
[tex]\approx 54.54[/tex] kilogram
Therefore, the weight of Mary is about 54.54 kilograms.
PLEASE HELP! Which of the following ordered pairs is a solution to the given system of equations?
A. (12, 8)
B. (3, 5)
C. (-3, 3)
D. (0, 4)
Answer:
A number has to be the answer
If px-3+qx+1=2x+3,Find the value of p+q
If AABC IS REFLECTED across the y axis what are the coordinates of A
Answer:
A. (-1, 3)
Step-by-step explanation:
When reflecting across the y-axis: (x, y) ⇒ (-x, y).
Therefore, A(1, 3) ⇒ A'(-1, 3).
Solve for x, then choose
the correct graph.
- 3x > 12
answer:
-4
Step-by-step explanation:
-3x>12
x<-4
the correct graph is graph b
1. What is the solution of the system of equations?
y = -3x + 8
y = -5x - 2
Answer:
This system of equations has no solution since the first one says:
x
2
−
y
=
8
while the second one gives us:
x
2
−
y
=
−
(
y
−
x
2
)
=
−
0
=
0
and
8
≠
0
Step-by-step explanation:
Which of these is an exponential parent function?
Complete question is;
Which of these is an exponential parent function?
A. f(x) = x
B. f(x) = 2^(x)
C. f(x) = x²
D. f(x) = |x|
Answer:
B. f(x) = 2^(x)
Step-by-step explanation:
> In option A, f(x) = x
This function depicts a straight line with intercept as 0 and slope as 1.
> In option C, f(x) = x²
This function depicts a parabola open up since the leading coefficient is greater than 0.
> In option D: f(x) = |x|
This function depicts a straight line y = x for x > 0 and y = -x for x < 0
In option B f(x) = 2^(x)
This function depicts an exponential function because the x is in the exponent form with a base of 2.
Help me if you dont mind
Answer:
B
left side results in 42 and right side results in 42
Consider the following proportion:
2 12
— -—
7 x
Use cross products to write the equation: 2x = 84.
What is the value of x?
[tex]\displaystyle\bf 2x=84\\\\x=84:2=42\\\\\boxed{x=42}[/tex]
someone please help!!
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Step-by-step explanation:
number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Solve the inequality:
3(8 – 4x) < 6(x – 5)8 - 4x < 2(x - 5)8 - 4x < 2x - 108 + 10 < 4x + 2x18 < 6x3 < xx > 3The solution set is the space to the right from 3, where 3 is given by an open circle.
Correct choice reflecting the answer is B:
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
18. Ingrid usually runs 12 miles in 2 hours. If she
only has 40 minutes to run today, how many
miles can she run going at the same rate?
A. 2.4 miles
B. 3 miles
4 miles
2
D. 6-miles
Answer:
4 miles
Step-by-step explanation:
120min/12miles
10min/1mile
40min/4miles
The number of miles can she run, going at the same rate will be 4 miles. Then the correct option is C.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
Ingrid usually runs 12 miles in 2 hours.
2 hours = 120 minutes
Then the speed will be
Speed = 12 / 120
Speed = 0.1 miles per minutes
If she only has 40 minutes to run today.
Then the number of miles can she run, going at the same rate will be
Distance = 0.1 x 40
Distance = 4 miles
Then the correct option is C.
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ2
The two
triangles are similar.
What is the value of x?
Enter your answer in the box:
Answer:
x = 5
Step-by-step explanation:
Sides of large triangle: 4x and 15
Corresponding sides of small triangle: 3x + 1 and 12
[tex] \dfrac{4x}{15} = \dfrac{3x + 1}{12} [/tex]
[tex] 60 \times \dfrac{4x}{15} = 60 \times \dfrac{3x + 1}{12} [/tex]
[tex] 16x = 15x + 5 [/tex]
[tex] x = 5 [/tex]
Far behind does anyone know this?
Answer:
the answer is A
Step-by-step explanation:
comment if you want explanation
Answer:
A is the answer to your question
Q2: 8,15,22,29,36,............ A sequence of numbers is shown above. a) Find the 10th term of the sequence. *
This is a required question
b) Find the nth term of the sequence. *
c) Which term of the sequence is equal to 260. *
Answer:
a) 71
b) an = a1 + (n-1)×7
c) the 37th term
Step-by-step explanation:
clearly, an+1 = an + 7
so, any new term is the previous term plus 7.
a1 = 8
and then the sequence goes on. starting with a2 we add 7 every time.
so, for an we added 7 n-1 times to a1. n-1 because for a1 we did not have to add 7.
therefore, the building function of this sequence to calculate the nth term is
an = a1 + (n-1)×7
a10 = a1 + 9×7 = 8 + 63 = 71
and
ax = 260 = a1 + (x-1)×7 = 8 + 7x - 7 = 1 + 7x
259 = 7x
x = 37
=> the 37th term of the sequence is 260
Can someone help me with this
Answer:
Step-by-step explanation:
