Answers
Answer:
Step-by-step explanation:
(-4,0) ; (-7, -14)
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(-7-[-4])^{2}+(-14-0)^{2}}\\\\ =\sqrt{(-7+4)^{2}+(-14)^{2}}\\\\=\sqrt{(-3)^{2}+(-14)^{2}}\\\\=\sqrt{9+196} \\\\=\sqrt{205} \\\\=14.3178[/tex]
Related Questions
Tom and Sam can finish a plowing job in two hours. Tom working alone can do the job in 7 hours. How long would it take Sam to finish the same job alone?
Answers
Answer:
Step-by-step explanation:
1X+17=121X+17=12
1X=12−171X=12−17
1X=72×7−27×21X=72×7−27×2
1X=7−2141X=7−214
1X=5141X=514
Taking inverse on both sides
X=145=2.8 hoursX=145=2.8 hours
The time taken by Sam is 2.8 hours.2.8 hours.
Jackson at the collectibles fair. He has exactly $8 and will purchase a collectible from a vendor for $5. What percent of his money will Jackson spend on the purchase?
Answers
Answer:
62.5%
Step-by-step explanation:
Total money with Jackson = $8
Money spent for buying collectible = $5
__________________________________________________
Percentage of any number A with respect to another number B is calculated by multiplying fraction A/B with 100
Numerically A as percentage of b will be expressed as (A/B)100 %
It means that if there are 100 items instead of B item then what will be the value of A.
______________________________________________________
Percentage of money spent = (Money spent for buying collectible /Total money with Jackson)
Substituting the total money and money spent for buying collectible
we have
Percentage of money spent = 5/8 * 100 = 0.625*100 = 62.5%
Thus, 62.5% percent of his money will Jackson spend on the purchase of collectible.
If the sum of 4040 consecutive integer numbers is 2020, find out the absolute difference between the first number and the last number.
Answers
Let [tex]x[/tex] be the smallest of the consecutive integers summing to 2020. Then the largest integer in the sum is [tex]x+4039,[/tex] so our answer is [tex]\boxed{4039}.[/tex]
For completeness, though, let's solve for the value of [tex]x[/tex] that satisfies the conditions of the problem. Recall that the sum of an arithmetic series with first term [tex]a_1,[/tex] last term [tex]a_n,[/tex] and [tex]n[/tex] terms, is [tex]\frac{n(a_1+a_n)}{2}.[/tex] Plugging in our known values gives us the equation [tex]\frac{4040(2x+4039)}{2}=2020,[/tex] which simplifies to [tex]2x+4039=1.[/tex] Thus, [tex]x=-2019,[/tex] so the 4040 consecutive integers are [tex]-2019,-2018,\dots,-1,0,1,\dots,2018,2019,2020.[/tex] Notice how everything except the [tex]2020[/tex] cancels out!
Cassandra baked a cake measuring 13 in. x 9 in. x 2 in. She wants to add frosting to the cake. The only side that will not be frosted is the bottom of the cake.
What is the surface area that will be frosted with icing?
A.24 in
B.117 in
C.205 in
D.322 in
Answers
Answer: B. 117 in
Step-by-step explanation:Took the test Trust
Hope this helps -----
The surface area that will be frosted with icing is 205in²
What is the surface area that will be frosted with icing?
It will be equal to the sum between the top surface, which measures:
S = 13in*9in = 117 in²
And the four lateral sides, two of them measure:
s' = 2in*9in = 18in²
The other two measures:
s'' = 13in*2in = 26in²
Then the total surface area that must be frosted is:
SA = 117 in² + 2*( 18in²) + 2*(26in²) = 205 in²
So we conclude that the correct option is C.
If you want to learn more about surface areas:
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(02.06)
A pair of parallel lines is cut by a transversal:
X
15
80
What is the measure of angle x? (4 points)
Answers
Triangle A″B″C″ is formed by a reflection over x = −1 and dilation by a scale factor of 4 from the origin. Which equation shows the correct relationship between ΔABC and ΔA″B″C″?
Answers
Answer:
[tex]\frac{AB}{A''B''} = \frac{1}{4}[/tex]
Step-by-step explanation:
Given the information:
A'B'C' reflection over x = −1dilation by a scale factor of 4 from the origin<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so A″B″C″ is 4 time bigger than ABC
=> the relationship between ΔABC and ΔA″B″C″
= [tex]\frac{AB}{A''B''} = \frac{1}{4}[/tex]
We choose C.
Hope it will find you well.
math question below!!
Answers
Answer:
A
Step-by-step explanation:
x² - 4x - 5 = 0
x² - 5x + x - 5 = 0
x(x - 5) + (x -5) = 0
(x - 5)(x + 1) = 0
x - 5 = 0 ; x + 1 = 0
x = 5 ; x = -1
Can someone help me find the length of b of the unknown side in this triangle? Thanks! :)
Answers
Answer: 4
Step-by-step explanation:
Using pythagoras theorem =>
b=[tex]\sqrt{c^2-a^2[/tex]
b=[tex]\sqrt{5^2-3^2}[/tex]
b=[tex]\sqrt{25-9}[/tex]
b=[tex]\sqrt{16}[/tex]
b=4
Answer:
4
Step-by-step explanation:
Use the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
The measure of the hypotenuse is 5. The measure of the given leg is 3.
[tex]3^2+b^2=5^2\\\rightarrow 3^2 = 9; 5^2=25\\9+b^2=25\\9-9+b^2=25-9 \leftarrow \text {Subtraction Property of Equality} \\b^2=16\\\sqrt{b^2}=\sqrt{16} \leftarrow \text {Square Root Property of Equality}\\\boxed {b=4}[/tex]
The unknown side of the triangle should be four units.
what is the y-intercept of the graph of the equation y=4x(3x) A; (0,4) B: (0,3) C;(0,12) D:(0,8)
Answers
Answer:
To find y intercept x should be 0.
And in this.
Y=4x.3x
Y=4*0*3*0
Y=0 answer.
Which interval for the graphed function has a local
minimum of 0?
[-3,-2]
[-2,0]
[1,2]
[2,4]
Answers
Answer:
Interval for the function has local minimum of 0 is [2,4].
Step-by-step explanation:
You need to find the local minimum of 0 in the given function's graph.
In mathematics, local minimum is a point on a graph whose value is less than all other points near it.
See that, graph value 0 is lie on the x = 3 and in interval x = 2 to x = 4
So, final answer is :
Interval for the function has local minimum of 0 is [2,4].That's the final answer.
hope it helps
Answer: D
Step-by-step explanation:
2,4
Triangle ABC has vertices at A(-2.3), B(-3, -6), and C(2, -
1). Is triangle ABC a right triangle? If so, which angle is the
right angle?
O No, the triangle has no right angles.
Yes, the right angle is angle A.
O Yes, the right angle is angle B.
O Yes, the right angle is angle C.
Answers
Answer: The right angle is at angle C
Step-by-step explanation:
Yes, the angle is a right angle at C (Edge option D)
PLZ I need help with the first problem!
Answers
Answer:
5/32
Step-by-step explanation:
You would change 1/2 to 2/4 so you can subract 1/2 from 3/4 .You do 3/4-2/4 and you get 1/4.Then you would multiply the height and width so you multiply 1/4 and 1 1/4 and 1/2.
Find Volume of water.
V=lwh
V= 1/2 x 1/2 x 5/4
V=5/16.
Find Volume of The whole shape.
V=lwh
V= 1/2 x 5/4 x 3/4
V=15/32.
Subtract : 15/32-5/16=5/32
VOLUME OF MISSING PART = 5/32 meters cubed
SDRTYUK243567Iaqwertyh.
Answers
Answer
B, i think
Step-by-step explanation:
line q goes through points (-3,3) and (-5,-3). At what point does line q cross the y-axis
Answers
Answer:
(0,12)
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
If cos omega =
3
5
find tan omega
Answers
Answer:
mmm 30
Step-by-step explanation:
Find the least common denominator (LCD) of
3
7
and
5
8
Answers
Answer:
56
Step-by-step explanation:
7 is a prime number
7*8 = 56
The least common denominator is 56
3/7 * 8/8 = 24/56
5/8*7/7 = 35/56
Answer:840
Step-by-step explanation:
Select the correct answer.
Which statement describes the situation shown in the graph?
Answers
Answer:
there is no photo??where are the graphs??
f(x)=25x^2−10x+1f, left parenthesis, x, right parenthesis, equals, 25, x, squared, minus, 10, x, plus, 1
What is the value of the discriminant of f?
How many x-intercepts does the graph of f have?
PLEASE HELP
Answers
Answer:
What is the value of the discriminant of f?
0
How many x-intercepts does the graph of f?
1
Step-by-step explanation:
I promise you i just got this question and this is the answer
The discriminant of f is 0.
The function f has one intercept.
In the given quadratic function f(x) = 25x² - 10x + 1, the coefficients are:
a = 25
b = -10
c = 1
Now, let's calculate the discriminant:
Discriminant = b² - 4ac
= (-10)² - 4 x 25 x 1
= 100 - 100
= 0
The value of the discriminant of f is 0.
If the discriminant is positive (greater than 0), the quadratic equation has two distinct real roots, which means the graph intersects the x-axis at two different points.
If the discriminant is zero, the quadratic equation has one real root, and the graph touches the x-axis at one point (or has a double root).
If the discriminant is negative, the quadratic equation has no real roots, and the graph does not intersect the x-axis.
In this case, since the discriminant is 0, the graph of f has one x-intercept (or one real root).
Learn more about Discriminant here:
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Please calculate the volume of the triangular prism (MIDDLE SCHOOL MATH)
Answers
Answer:
52.374 cm*3
Step-by-step explanation:
the upper triangle is equal to the bottom triangle
Btw fyi the formula of calculating the value of a prism is:
area of the base × height
If 50% of an item is 22.00 what is the original price ?
Answers
Answer:
$44
Step-by-step explanation:
Answer:
44
Step-by-step explanation:
Find the quotient.
1. 48÷3=
.
2. In the expression, 96 divided by 8 = a , the quotient a =
.
3. Divide 12 lizards into 6 equal groups. How many lizards are in each group?
There are
lizards in each group.
Answers
Answer:
48÷3=16
Step-by-step explanation:
In the expression, 96 divided by 8 = a , the quotient a =12
. Divide 12 lizards into 6 equal groups. How many lizards are in each group?
There are2
lizards in each group.
Answer:
1. 16
2. 6
3. 2
Step-by-step explanation:
Construct one circle with center A passing through point B and another circle with center A passing through C. Circles with common centers are called concentric circles. We’ll refer to the circle that passes through B as AB and the one that passes through C as AC. Besides being concentric, what is the relationship between circles AB and AC? someone please help me
Answers
Answer:
The two circles centered at point A are concentric and similar
Step-by-step explanation:
plato
A prediction for the volume at 105 seconds is 497 cm3.
Is this a reasonable prediction?
No, there is no recognizable pattern in the data
from which to make a prediction.
Yes, the first differences are all around -70, so a
linear function is a good model. Subtracting 70 from
567 results in 497 cm3.
No, the first differences are 15, so a linear function
is a good model. Subtracting 15 from 567 results in
552 cm3
Yes, the average rate of change is about 8.
Answers
Answer:
Step-by-step explanation:
Answer:
answer: B
Step-by-step explanation:
Scott has jaunt baked 24 cookies he want to put them in a paper bags in groups of 5 how many groups of 5 can he make how many cookies will he have remaining
Answers
Answer:
He can make 4 groups as for the 5th group he left with 4 cookies.
So your answer would be 4 groups and 4 cookies.
hope it helps!
Moore's law states that the maximum number of transistors that can fit on a silicon chip doubles every two years. The function f(x)= 42(1.41) to the X power model the number of transistors, in millions, that can fit on a chip, where X is the number of years since 2000. Using this model, in what year can a chip hold 1 billion transistors?
Answers
Answer:
multiply 42 m by 1.41 = 59.22
59.22 x 59.22 = 3507.0084
3507 = 3 billion
59.22 x 20 = 1 billion
Step-by-step explanation:
Look at the pic in the corner it’s math
Answers
Answer:
The third one
Step-by-step explanation:
Its because we need to find the number that it has grown.
so we add the number that it grew to the size it was before.
Answer: 1.85 + x = 5.30
Step-by-step explanation: If we know that Ethan planted a tree that was 1.85 meters tall from the start and several years later it's 5.30 meters tall, we know that something must have been added to the 1.85 in order to get 5.30 meters tall. Since we don't know what that value is, we can use x.
X is an example of a variable. A variable is just a letter that represents any number so in this case, it represents how much the tree has grown over a time period of several years.
So we can write this as 1.85 + x = 1.30.
Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answers
Answer:
(2a -5)²(3a -4b)(3a +4b)Step-by-step explanation:
There are a couple of factored forms that are used here:
(a +b)² = a² +2ab +b² . . . . the sign of "2ab" will match the sign of b
a² -b² = (a -b)(a +b)
__
Part A:
Since this trinomial is known to be a perfect square, you can find the binomial(s) by looking at the roots of the first and last terms.
√(4a²) = 2a
√25 = 5
The factoring is ...
4a² -20a +25 = (2a -5)²
__
Part B:
This is the difference of perfect squares, so the terms of the factors can be found as in the previous part.
√(9a²) = 3a
√(16b²) = 4b
Using the above factored form, we have ...
9a² -16b² = (3a -4b)(3a +4b)
The amount of tomato sauce in an 8 oz. can of tomato sauce has a normal distribution with a mean of
8.15 oz. and a standard deviation of 0.07 oz. Which of the following is the 2-score for 7.90 oz.?
Answers
Answer:
The z-score for 7.90 oz. is -3.57
Step-by-step explanation:
Data
mean: 8.15 oz.standard deviation, sd: 0.07 oz.value of interest, x = 7.90 oz.From definition of z-score:
Z = (x - mean)/sd
Replacing with data:
Z = (7.9 - 8.15)/0.07
Z = -3.57
Find "G". Round to two
decimal places.
G= R+ab/at
R=257
a=4.88
b=37.4
t=61.5
Answers
Answer:
G ≈ 1.46
Step-by-step explanation:
Given
G = [tex]\frac{R+ab}{at}[/tex] , substitute values
G = [tex]\frac{257 4.88(37.4)}{4.88(61.5)}[/tex]
= [tex]\frac{257+182.512}{300.12}[/tex]
= [tex]\frac{439.512}{300.12}[/tex] ≈ 1.46 ( to 2 dec. places )
Choose the function that is graphed below
A. Y=9^x
B. Y=3*3^x
C. Y=3^x
Answers
Answer:
B
Step-by-step explanation:
