Answer:
(–1, –5)
Step-by-step explanation:
Two linear equations are represented by using the tables below. A 2-column table with 4 rows titled Equation A. Column 1 is labeled x with entries negative 2, 0, 3, 4. Column 2 is labeled y with entries negative 8, negative 2, 7, 10. A 2-column table with 4 rows titled Equation B. Column 1 is labeled x with entries negative 3, negative 1, 1, 5. Column 2 is labeled y with entries negative 9, negative 5, negative 1, 7. The data points for equation A are graphed on the coordinate plane below and are connected by using a straight line. On a coordinate plane, a line goes through (0, negative 2) and (2, 4). What is the solution to the system of equations? (–2, –8) (–1, –5) (0, –2) (2, 4)
Answer: To find the equation of line A, we can use any two points. Let us use points (-2, -8) and (0, -2). Therefore, the equation of line A can be gotten using the equation:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ Substituting:\\y-(-8)=\frac{-2-(-8)}{0-(-2)}(x-(-2))\\y+8=3(x+2)\\y+8=3x+6\\y=3x+6-8\\y=3x-2[/tex]
To find the equation of line B, we can use any two points. Let us use points (-3, -9) and (-1, -5). Therefore, the equation of line B can be gotten using the equation:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ Substituting:\\y-(-9)=\frac{-5-(-9)}{-1-(-3)}(x-(-3))\\y+9=2(x+3)\\y+9=2x+6\\y=2x+6-9\\y=2x-3[/tex]
To find the solution to the system of equations, we solve them simultaneously
y = 3x - 2 . . . 1)
y = 2x - 3 . . . 2)
Subtracting equation 2 from 1:
x + 1 = 0
x = -1
Put x = -1 in equation 1)
y = 3(-1) - 2
y = -3 - 2
y = -5
Therefore the solution to the equation is (-1, -5)
the correct answer is B (–1, –5)
PLEASE HELP!!!
What is the distance, in units, between P=(−6,8) and Q=(9,8)?
Answer:
15
Step-by-step explanation:
whats 35x25 because idonk know i need a good resoning.
Answer:
875
Step-by-step explanation:
35 x 25 =
30x25 + 5x25
750 + 125
875
The Answer is 875
✍️(◔◡◔) hope this helps <3
I need help with number 5
Answer:
A
Step-by-step explanation:
62 +65=127
C+127=180
C=180-127=53°
so x=53°
53-y=11
y=53-11=42
Answer: A
Step-by-step explanation:
Since ΔCDE and ΔGHI are congruent triangles, they are equal to each other. This means x-y=11. We want to find y, but we first need to find x. We can do that by finding x° on ΔGHI.
We know that the sum of the angles is 180° in a triangle. We are given 2 angles from ΔCDE. We can use those to find x°.
62+65+x=180 [combine like terms]
127+x=180 [subtract 127 on both sides]
x=53
Now that we have x, we can find y by plugging in.
53-y=11 [subtract both sides by 53]
-y=-42 [divide both sides by -1]
y=42
Solve for x. Then, find m∠FDG and m∠GOF. answers: 1) x = 29; m∠FDG = 66°; m∠GOF = 126° 2) x = 28; m∠FDG = 64°; m∠GOF = 116° 3) x = 27; m∠FDG = 62°; m∠GOF = 118° 4) x = 24; m∠FDG = 56°; m∠GOF = 106°
Answer:
3) x = 27; m∠FDG = 62°; m∠GOF = 118°
Step-by-step explanation:
2x + 8 + 4x + 10 = 180
6x + 18 = 180
6x = 162
x = 27
Answer:
x = 27; m∠FDG = 62°; m∠GOF = 118°
Step-by-step explanation:I took the test
Which expression is equivalent to (3a)-27
3a2
0
o
o
Answer:
Step-by-step explanation:
(3a) - 27 = 3a - 3^3 = 3(a - 3^2)
Next time, please share all of the answer choices. Thanks.
You are making a welding fixture and must cut down a length of copper tubbing from 15 1/8 inches to 8 3/4 inches. If the leftover piece is long enough, you will use it in another fixture . How long will the leftover piece be ? 23 and 7/8 1 and 51/70 7 and 1/8 6 3/8
Answer: [tex]6\dfrac{3}{8}\text{ inches}[/tex]
Step-by-step explanation:
Given: Original length = [tex]15\dfrac{1}{8}[/tex] inches
[tex]=\dfrac{8\times15+1}{8}=\dfrac{121}{8}[/tex] inches ( In improper fraction )
Length of piece cut from original = [tex]8\dfrac{3}{4}[/tex] inches
[tex]=\dfrac{4\times8+3}{4}[/tex][tex]= \dfrac{35}{4}[/tex] inches ( In improper fraction )
Length of piece leftover piece = (Original length ) - (Length of piece cut )
[tex]=\dfrac{121}{8}-\dfrac{35}{4}\\\\=\dfrac{121-2\times35}{8}\\\\=\dfrac{121-70}{8}\\\\=\dfrac{51}{8}\\\\=6\dfrac{3}{8}\text{ inches}[/tex]
Hence, the leftover piece will be [tex]6\dfrac{3}{8}\text{ inches}[/tex] long.
What is the value of Fraction 1 over 2x3 + 3.4y when x = 2 and y = 5?
18
20
21
37
Answer:
C.21
Step-by-step explanation:
The value of 1/ (2x³ + 3.4y) is 1/33.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Fraction = 1/ (2x³ + 3.4y)
We have the value x= 2 and y=5.
So, 1/ (2x³ + 3.4y)
= 1/ (2(2)³ + 3.4(5))
= 1/ (2(8) + 17)
= 1/ (16+17)
= 1/ 33
Hence, the value is 1/33.
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PLEASE HELP Plot 2 2/3 and 1 5/9
Answer:
Answer attached
What is the surface area of a sphere with a radius of 11 units?
A. 13317 units2
B. 3637 units2
C. 7267 units2
D. 48470 units2
Answer:
Step-by-step explanation:
The surface area of a sphere with radius r is given by
S = 4 pi r^2
for a radius of 11 units,
S = 4 pi 11^2 = 484 pi = 1520.5 sq. units
This does not correspond to any of the answers.
Please check question.
Answer:
484[tex]\pi[/tex]
Step-by-step explanation:
Surface Area of Sphere Formula: 4[tex]\pi[/tex]r[tex]r^{2}[/tex]
When you plug it in it is 4[tex]\pi[/tex][tex]11^2[/tex]
Then you would get 484[tex]\pi[/tex]
Find the value of x that will make L||M. 7x+9 & 8x+2 x=? please help!
Answer:
x = 7
Step-by-step explanation:
=> 7x+9 = 8x+2 (Corresponding angles are equal)
=> 8x-7x+2 = 9 (Subtracting 7x to both sides)
=> x = 9-2 (Subtracting 2 to both sides)
=> x = 7
Solve the inequality 3x - 5 < 4.
Answer:
I got x<3
Step-by-step explanation:
Answer:
x < 3
Step-by-step explanation:
Add 5 to both sides. Then: 3x < 9 and x < 3.
The solution is the area to the left of x = 3 (but not touching x = 3).
A t-shirt increased in price by 1/7. After the increase it was priced at £56. What was the original price of the t-shirt?
Answer:
£48
Step-by-step explanation:
56 ÷ 7 = £8
56 - 8 = £48
Please let me know if my answer is correct.
Answer:
48
Step-by-step explanation:
Abigail was skateboarding home when the wheel axle of her skateboard broke. She had already traveled two-thirds of the way home and had to walk the rest of the way. Walking the rest of the way home took her twice as long as it took her to ride her skateboard. How many times faster is Abigail on her skateboard than she is walking?
Answer:
4 times faster
Step-by-step explanation:
From the above question, we have the following information
Let us represent the Distance traveled by Abigail as Y
On her skateboard she travelled two thirds of the way = 2/3Y
She walks the rest of the way home = Y - 2/3Y = 1/3Y
The time she used to walk home is twice the time she used to ride her skate board
Hence, let us represent the time she used to ride her skateboard as S
So, Time she used to walk home = 2 × S = 2S
The question is asking us, how fast ,this is = Speed
The formula for Speed = Distance/ Time
Speed for her skate board = 2/3Y/S = 2Y/3S
Speed as she walks = 1/3Y / 2S = Y/ 6S
How many times faster is Abigail on her skateboard than she is walking is calculated as :
Speed of Abigail while skating ÷ Speed of Abigail while walking
= 2Y/3S ÷ Y/6S
= 2Y/3S × 6S/Y
= 4
Therefore, Abigail was 4 times faster on her skateboard than she is walking.
Help Please I'm Out Of Time ;(
A wooden roller coaster at a theme park has a height restriction: passengers must be at least 45 inches tall.
A. Write an inequality to represent the height restriction.
B. Using complete sentences, describe how to graph your inequality on a number line.
Answer:
Hello There!
~~~~~~~~~~~~~~~~~~~~`
[tex]h \geq 48 inches tall[/tex]
In order to ride on the ride an individual must be at least 48 inches tall.
This means that the individual must be equal to 48 inches tall.
[tex]h = 48[/tex]
and the individual could be greater than 48 inches tall.
[tex]h > 48[/tex]
So the individual could be greater than and equal to 48 inches tall.
[tex]h \geq 48[/tex]
Hope this helped you. Brainliest would be nice!
Answer ASAP In the given diagram, ∠4 = 45°, ∠5 = 135° and ∠10 = ∠11 Part A: Solve for the values of the remaining angles. Show all of your work. Part B: Use complete sentences to describe the angle relationship between the following angle pairs: 1. ∠4 and ∠1 2. ∠7 and ∠5 3. ∠9 and ∠10
Answer:
A) ∠9 = ∠10 = ∠11 = ∠12 = 90°
∠2 = ∠3 = ∠5 = ∠8 = 135°
∠1 = ∠4 = ∠6 = ∠7 = 45°
B) 1. ∠4 and ∠1 -> vertical angles
2. ∠7 and ∠5 -> supplementary
3. ∠9 and ∠10 -> supplementary
Step-by-step explanation:
Data
∠4 = 45°∠5 = 135°∠10 = ∠11The following are vertical angles, so they are congruent:
∠1 ≅ ∠4
∠3 ≅ ∠2
∠11 ≅ ∠9
∠10 ≅ ∠12
∠7 ≅ ∠6
∠5 ≅ ∠8
From here and data, it is deduced that
∠11 ≅ ∠9 ≅ ∠10 ≅ ∠12
From the picture, the addition of them is equal to 360°, then:
∠11 + ∠9 + ∠10 + ∠12 = 360°
4*∠11 = 360°
∠11 = 360°/4
∠11 = 90° = ∠10 = ∠9 = ∠12
∠2 and ∠4 are supplementary, then:
∠2 + ∠4 = 180°
∠2 = 180° - 45°
∠2 = 135°
∠7 and ∠5 are supplementary, then:
∠7 + ∠5 = 180°
∠7 = 180° - 135°
∠7 = 45°
Answer:
Started learning this today and this made a lot easier
Find the probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled
Answer:
Step-by-step explanation:
The total sum of the answers or sums that we can get when we roll a pair(2) dice is 36. Yes, there are repeated sums.
All the even sums: 2,4,6,4,6,8,4,6,8,6,8,10..., if you notice, there are 18 even sums.
All the sums that are odd by greater than 7: 9,9,9,11,9,11, if you notice, there are 6 of them.
Total: 6 + 18 = 24
Probability(A) = number of favorable outcomes/ total number of outcomes
The probability is 24/36 = 2/3
The probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled is 2/3.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
We need to find the probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled.
The total sum of the answers or sums that we can get when we roll a pair(2) dice is 36.
All the even sums: 2,4,6,4,6,8,4,6,8,6,8,10...,
there are 18 even sums.
All the sums that are odd by greater than 7: 9,9,9,11,9,11, there are 6 of them.
Total: 6 + 18 = 24
Probability(A) = number of favorable outcomes/ total number of outcomes
Therefore, The probability is 24/36 = 2/3
Hence, the probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled is 2/3.
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In how many ways can we put five identical fruits into three bowls? Note that the bowls may be empty.
Answer:
20
Step-by-step explanation:
state whether it represents a function
Answer:
See below.
Step-by-step explanation:
To be a function the graph must pass the vertical line test. If any of the vertical lines which can be drawn intersects the graph more than once then it's not function.
So Graph 1 is not a function because a vertical line passes through the 2 points in quadrant 1, whereas Graph 2 is a function because any vertical line you can draw only passes through the graph once.
Graph 3 - not a function.
Graph 4 - not a function.
Graph 5 - not a function.
Graph 6 is a function.
*ANSWER ASAP PLS* How can someone live smarter to reduce his/her carbon footprint? a.) remove insulation b.) live in a smart community c.) buy inefficient appliances d.) use incandescent bulbs
Answer:
remove insulation ,,,eat low on the food chain
Step-by-step explanation:
u can reduce it by 8 pounds
Answer:
remove insulation
simplify the expression [tex]-\frac{4x+7}{2} -\frac{3x-2}{2}[/tex]
Answer:
-(4x + 7)/2 - (3x - 2)/2 = (-4x - 7 - 3x + 2)/2 = (-7x - 5)/2
A triangles angle measures are in the ratio 3: 4: 7. Find the measures of the angles
Step-by-step explanation:
total ratio = 3+4+7 = 14
3/14×180= 38.57°
4/14×180= 51.43°
7/14×180 = 90°
Answer:
total ratio = 3+4+7 = 14
3/14×180= 38.57°
4/14×180= 51.43°
7/14×180 = 90°
Step-by-step explanation:
Pls help C: Summer Homework (ASAP)
Answer:
3/2f = 2e
Step-by-step explanation:
The equation is Written has this (3/2f = 2e)
Answer:
[tex]\frac{2}{3} f=2e[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} *9=6[/tex] ~ this is an example of the answer being used to be multiplied by [tex]f[/tex] to get the result which is listed through [tex]e[/tex]. This example is Batch B, cups of flour was 9. 9 multiplied by [tex]\frac{2}{3}[/tex] will lead us to 6 which is the number of eggs used in Batch B.
Hope this helps!
Find the slope of the line on the graph. Write your answer as a fraction or a whole number, but a mixer number or decimal .
Answer:
m = -1/2
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in 2 coordinates into the slope formula to find our slope m:
(-8, 0) x-int
(0, -4) y-int
m = (0 + 4)(-8 - 0)
m = 4/-8
m = -1/2
Suppose a cube is given.
How many non-congruent triangles can be formed by connecting 3 of the vertices of the cube?
Answer:
The number of non-congruent triangles that can be formed from the vertices of a cube are 3 triangles
Step-by-step explanation:
The number of non congruent triangles that can be formed by connecting 3 of thee vertices of the cube is found as follows;
The available different lengths of segments joining two vertices of a cube of side length s = 2 are;
2, 2·√2, and 2·√3
Therefore, since there are only three different side lengths we have the possible triangle dimensions given as follows
Distinct triangle one = 2, 2, 2·√2
Distinct triangle two = 2·√2, 2·√2, 2·√2
Distinct triangle three = 2, 2·√3, 2·√2
Therefore, there are ₃C₃ = 3 ways of forming three non-congruent triangles from the vertices of a cube.
(80 pts) How many different ways can a captain and a co-captain be selected for a rugby team if there are 10 players?
Answer:
There are 90 different ways
Step-by-step explanation:
We can apply factorials to help solve this equation.
Just to review, 4!= 4x3x2x1
To solve this problem, we need to use factorials but only a portion of it.
Since there are only 2 roles, we only have to go down two numbers
For captain, there are 10 players available,
But for co captain, there are 9, because the captain can't also be the co captain
So the result is 10x9
We don't have to go further since there are no more further roles to occupy
10x9=90
There are 90 different ways
Answer:
45 if two co-captains or 90 if captain and co-captain are two DISTINCT roles.
Step-by-step explanation:
METHOD ONE
Label each player (either a through j OR 1 - 10).
List combinations:
a ba c a da ea f a ga ha ia jb c (not "b a" because that would be the same as #1)b db eb fb gb hb ib jc d (not "c a" or "c b" because those would be duplicates)c ec fc gc hc i c jd ed fd gd hd id je fe ge he ie jf gf hf if jg hg ig jh ih jj iMETHOD 2
use formula
Classify the following triangle. Check all that apply.
7
9
11.4
A. Equilateral
O B. Isosceles
O C. Acute
O D. Scalene
O E. Right
O F. Obtuse
Answer:
Scalene and right
The given triangle is the right-angle triangle.
What is a right-angled triangle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
The given triangle has one angle equal to 90 degrees and the line is perpendicular to the base.
Hence, the given triangle is the right-angle triangle.
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Sarah's car travels 28 miles on on gallon of gas. Greta's car travel 18 kilometers on one liter of gas. Which car gets better gas mileage?
Answer:
Gretas car gets better gas mileage
Step-by-step explanation:
18 km= 18,000 miles
18,000>28
So, Gretas car gets better gas mileage
Hope this help!
PLEASE HURRY Solve for X assume that lines that which appear tangent are tangent
Answer:
x = 8
Step-by-step explanation:
In a circle if two chord intersects as shown in figure
and length of a chord at point of intersection is a and b
and length of another chord at point of intersection is c and b
a*b = c*d
using this relation here, we have
8*(x+7) = 10 * (4 +x)
=> 8x + 56 = 40 + 10x
subtracting 40 and 8x from both sides
=>8x + 56 - 8x -40= 40 + 10x -8x -40
=> 16 = 2x
=> x = 16/2 = 8
Thus, x = 8
20 points brainlist thanks
What is the distance from (−2, 4) to (0, −6)? Round your answer to the nearest hundredth.
9.23
10.20
10.98
11.34
please explain how you got the awnser im having a hard time
Answer:
The answer Is 10.20
Step-by-step explanation:
d = \/(0-(-2))² + (-6-4)²
d = \/(0+2)² + (-10)²
d = \/(2² + 100)
d = \/(4+100)
d = \/104
d ~ 10,20
Step-by-step explanation:
by using distance formula it is easily calculated
Plot on the number line?
Answer:
See below
Step-by-step explanation:
[tex]\sqrt{6}[/tex] = 2.449
So, While plotting to the number line it will be like:
Answer:
Step-by-step explanation:
Hello!
You have to plot √6 on the number line.
The √6 is equal to 2.4494
In the given number line is depicted the scale between 2.4 and 2.5, the lines between corresponds to the second decimal digit between these two numbers, so the given scale is:
| * | | | * | * | | | * | | |
2.40 2.41 2.42 2.43 2.44 2.45 2.46 2.47 2.48 2.49 2.50
The dot corresponding to √6 is the third counting from left to right.
(See attachment)
I hope this helps!