Answer:
3
Step-by-step explanation:
Find the gradient of the line segment between the points (1,-2) and (-2,10).
Given:
A line segment is between the points (1,-2) and (-2,10).
To find:
The gradient of the given line segment.
Solution:
We know that gradient of the given line segment means slope of the line segment.
The line segment between the points (1,-2) and (-2,10). So, slope of the line segment is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{10-(-2)}{-2-1}[/tex]
[tex]m=\dfrac{10+2}{-3}[/tex]
[tex]m=\dfrac{12}{-3}[/tex]
[tex]m=-4[/tex]
Therefore, the gradient of the given line segment is -4.
Solve.
X = -7
4x - 4y = 12
Submit
Answer:
Point Form:
( − 7 , − 10 )
Equation Form:
x = − 7, y = − 10
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
y = -10
Step-by-step explanation:
4x - 4y = 12
Substitute the x with -7, since it has been given.
4(-7) - 4y = 12
-28 - 4y = 12
Add 28 onto both sides
-28 + 28 - 4y = 12 + 28
-4y = 40
Divide by -4 to isolate the variable
-4y/-4 = 40/-4
y = - 10
Check:
Substitute the y and x
4x - 4y = 12
4(-7) - 4 ( -10 ) = 12
-28 + 40 = 12
12 = 12
or.....
try to see if x stays as -7
4x - 4y = 12
4x - 4 (-10) = 12
4x + 40 = 12
Subtract 40 onto both sides
4x + 40 - 40 = 12 - 40
4x = -28
Divide by 4 onto both sides to isolate the variable
4x/4 = -28/4
x = -7
And it's correct
Hope this helped!
HURRY THIS IS MY LAST THING FOR THIS ASSIGNMENT. Maria is using a coordinate plane with the axes labeled only with integers. She says that the point (−0.5, 2) cannot be plotted because halves are not numbered on the x-axis. Write a note to Maria about her misunderstanding and explain how to plot the point.
Answer: You can have halves of points, Just because I have 0 units and 1 units doesn't mean that I can't put a point in the middle of the two. You could put a point in the middle of a unit for 0 - 1 it would be 0.5. You would place it in the middle of the unit
Step-by-step explanation:
Please help
x2 + 14x + 37 = 0
Answer:
x = −37/16
This is the value of x which completes the equation properly, unless you mean x^2 instead of x2.
need help asap please
Answer:
y=3/4x+1
Step-by-step explanation:
If you rearrange the given equation to slope intercept form, you'll find the slope to be -4/3. If a line is perpendicular to another it'll have the opposite reciprocal for a slope, meaning the new line's slope would be 3/4. If you plug 3/4 and the given point's x and y value into slope intercept form you'll find the b value or y intercept to be 1. Since you now have the slope and the y intercept you can determine the equation to be y=3/4x+1. Hope this helps!
Passes through (-4,-5) Slope = -314
Please Helppppp!!!!!!!!!!!!
Answer:
[tex]y=-314x-1261[/tex]
Step-by-step explanation:
When we are writing an equation we have to put it in slope-intercept-form [tex]y=mx+b[/tex]. We already know the slope it's -314, we replace m with the slope. Now we have to find b which is the y-intercept. So what we have to do is plug in the ordered pair into the equation. -4 for x and -5 for y.
[tex]y=mx+b\\-5=-314(-4)+b[/tex]
Now we solve
[tex]-5=-314(-4)+b\\-5= 1256+b\\b=-1261[/tex]
So now that we know everything we need we plug in and....
[tex]y=mx+b\\y=-314x-1261[/tex]
we've got our equation!
Answer:
The line slants upward, so the slope is positive.
PLEASE NEED HELP ASAP TYTY I WILL BE GIVING THANKS!
Answer:
B. 112°
Step-by-step explanation:
4x -4 = (3x+4) + (2x-44)
4x -4 = 5x - 40
5x - 4x = -4 + 40
x = 36
∠BCA = 3 * 36 + 4 = 112
Your high school freshman class consists of 760 students. In recent years, only 4 out of 7 students actually graduated in four years. Approximately how many of your classmates are expected to graduate in four years?
a.
190 students
b.
760 students
c.
434 students
d.
1330 students
What is the distance between the points (-1 , -13) and (-1 , 21) in the coordinate plane?
Answer:
[tex]\displaystyle d = 34[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
CoordinatesAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, -13)
Point (-1, 21)
Step 2: Find distance d
Substitute in points [DF]: [tex]\displaystyle d = \sqrt{(-1+1)^2+(21+13)^2}[/tex](Parenthesis) Add: [tex]\displaystyle d = \sqrt{(0)^2+(34)^2}[/tex][√Radical] Simplify: [tex]\displaystyle d = \sqrt{(34)^2}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 34[/tex]The length of a rectangle is 5 inches more than three times the width.The perimeter is 64 inches. Find the length and width.
Answer:
L=25.25 in
W= 6.75in
Step-by-step explanation:
Step one
Given data
Let the width be x
W= x
and length
L= 3x+5
Perimeter= 64 in
Step two:
we want to find the dimension of the rectangle
We know that perimeter is
P= 2W+2L
64= 2*x+2*(3x+5)
64= 2x+6x+10
collect like terms
64-10=8x
54= 8x
divide both sides by 8
x= 54/8
x= 6.75in
We know that the length is
L= 3x+5
L= 3*6.75+5
L= 20.25+5
L=25.25 in
SOMEONE PLEASE HELP ME
Geometry
Lesson 1.1 Practice
Answer:
ok
Step-by-step explanation:
Answer:
You just need to substitute the variables. Example, problem 9; N=9 and q=10, 9×10? You got your answer.
The following graph shows a proportional relationship.What is the constant of proportionality between y and x in the graph?
Constant Of Proportionality = ________
Answer:
Step-by-step explanation:
y=kx
(5,1)
1=k*5
1/5=k*5/5
1/5=k
The constant of proportionality between y and x in this graph is
1/5
a) This problem involves 8-digit binary strings such as 10011011 or
00001010.
i How many such strings are there?
ii. How many such strings end in 0?
iii. How many such strings have l's for their second and fourth digits?
iv. How many such strings have l's for their second or fourth digits?
b) Find how many 9-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6,
7, 8, 9 if repetition is not allowed and all the odd digits occur first (on the
left) followed by all the even digits.
c) How many permutations of the letters A, B, C, D, E, F, G are there in which
the three letters ABC appear consecutively, in alphabetical order?
Answer:
a)
i) With an eight digit binary number, there are 2⁸, or 256 possible combinations.
ii) Each digit is set to 1 or 0 for exactly half of all combinations. This means that half of all strings, or 256 / 2 = 128 strings end with a zero.
iii) 3/4, or 128 + 64 = 192 of the combinations have a 1 for either the second or fourth digit. If you consider:
Half of all digits will have the second bit set to 1
Half of all digits will have the fourth bit set to 1
Half of those will overlap
Then that's half the digits, plus half the digits, minus half of half the digits. 1/2 + 1/2 - 1/4 = 3/4
iv) This is a duplicate of iii, so again, 192
b) If we're allowed to repeat the usage of the digits, then answer would be the number of values available to the power of the number of digits used. We're allowed six distinct digits, so the total combination of 9 digit numbers would be 6⁹, or 10077696
c) In this case we can look at it simply as permutations of the set {"ABC", "D", "E", "F"}, which gives us 4! which equals 24
When a respondent indicates that he is 25 years old when he is actually 35 years old, he is contributing to:
nonresponse error.
response error.
sampling error.
nonsampling error.
Answer:
Response Error
Step-by-step explanation:
6 12 5 7 7 3 9 mean median range
Answer: Mean:7 Median 7 Range:9
Step-by-step explanation:
A jar contains 12 caramels, 7 mints and 16 dark chocolates. The probability of selecting a dark chocolate, eating it, and then a selecting a caramel is the setup. What is the probability fraction of "selecting a dark chocolate".
Answer:
45.7%
Step-by-step explanation:
12 + 7 + 16 = 35
16/35 = 0.457 = 45.7%
Multiply. Express your answer in simplest form.
Answer:
Bet
Step-by-step explanation:
It’s a simple one to write. There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? The answer is no, and that’s Fermat’s Last Theorem.
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?
That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)
Which has the least value for 9? *
A. 1.95
B. 0.1039
C. 3.092
D. 2.009
Answer:
0.1039
Step-by-step explanation:
Obtain the place value of 9 in each value and choose the smallest :
1.95
9 is the first digit after the decimal point ; which is equal to 0.9 = tenth place
0.1039
9 is the 4th digit after the decimal point ; which is equal to 0.0009 = ten thousandth place
3.092
9 is the second digit after the decimal point ; which is equal to 0.09 = hundredth place
2.009
9 is the third digit after the decimal point ; which is equal to 0.009 = thousandth place
Hence the smallest value of 9 among the options given resides in 0.1039 (ten thousandth place).
A little girl kicks a soccer ball. It goes 10 feet and comes back to her. How is this possible?
Answer:
She kicked the ball upwards.
Step-by-step explanation:
:)
Answer:
She kicked the ball up. Thanks for 50 points. :)
Step-by-step explanation:
Find the value of x.
B
92
A
1019
68
D
X=
Answer:
Step-by-step explanation:
Can someone help me find the perimeter of this
Answer:
Perimeter is 60.4 + 4x
Step-by-step explanation:
12.2 + 12.2 + 4(x+9)
= 24.4 + 4x + 36
= 60.4 + 4x
Answer:
2/5 • (151 + 10x )
Step-by-step explanation:
(This is going to be a long one so i apologize in advance)
First, you need to simplify the equation you're given for this particular shape by collecting terms and calculating the sums:
12.2 + x + 9 + x + 9 + 12.2 + x + 9 + x + 9
61/5 + x + 9 + x + 9 + 61/5 + x + 9 + x + 9
122/5 + 4x + 36
2/5 • (61 + 5 • 2x + 5 • 18)
2/5 • (61 + 10x + 90)
2/5 • (151 + 10x )
What is the GCF of 81 and 180?
Answer:
9
Step-by-step explanation:
decide whether each function is linear or nonlinear from its graph
10. The Johnson family purchased a new television that had a 62 inch diagonal. The height of the television was 30 inches. Approximately how wide is the new television? show work
Answer:
Width = 54.3 inches
Step-by-step explanation:
We solve this question using the Pythagoras Theorem
Width² + Height² = Diagonal²
From the above question
Width= ??
Height = 30 inches
Diagonal = 62 inches
Width² + 30² = 62²
Width² = 62² - 30²
Width = √62² - 30²
Width =✓2944
Width = 54.258639865 inches
Approximately
Width = 54.3 inches
Hence, the new television was 54.3 inches wide.
Question???
-9 - (-4) =
Answer:
-5
Step-by-step explanation:
Answer:
-5
Please mark as brainliest if this helped you the most, thanks if you do and have a good day/night!
Evaluate the expression.
131 +-5
Answer:
126
Step-by-step explanation:
131 + - 5 can either be;
131 + 5 = 136
131 - 5 = 126
The question is probably asking what is 131 plus negative 5, hence the correct equation is; 131 - 5, and the correct answer is 126.
What percentage of the shape is purple?
Write your answer using a percent sign (%).
(Please help!) almost done 3
Okay, we see that there are 10 pieces in the circle - thus, it is our denominator. Next, we see that 9 out of them are coloured in. Therefore, the fraction is 9/10. To express our answer as a percent, we need to divide 9 and 10 to get 0.9. Then, we multiply 0.9 by 100 to get 90%. As a result, your answer is 90%.
The percentage of the shape that is purple is approximately 90%.
To find the percentage of the shape that is purple, we need to calculate the proportion of purple pieces out of the total number of pieces and express it as a percentage.
Given that there are 10 pieces in total and 9 of them are colored in, we can calculate the percentage as follows:
Percentage of purple pieces = (Number of purple pieces / Total number of pieces) × 100
Percentage of purple pieces = (9 / 10) × 100
Percentage of purple pieces = 0.9 × 100
Percentage of purple pieces = 90%
Therefore, the percentage of the shape that is purple is approximately 90%.
Learn more about percentages here:
brainly.com/question/24159063
#SPJ2
How to Rewrite the expression 4(13-10) using distributive property of multiplication over subtraction
Answer:
52-40
Step-by-step explanation:
distribute 4 to 13 and 10
put the subtraction sign back in
What is the rectangular form of z = 6(cos((3pi)/4) + i sin((3pi)/4))
Answer:
Z= -3 square root 2 + 3i square root 2
Step-by-step explanation:
Answer:
C :)
Step-by-step explanation:
got it right on edge, hope it helps
Taylor bought a painting for 1 million yen while in Japan. At the time, exchange rate was 1 dollar to 126 yen. If a friend offers $2,000 dollars for the painting would Taylor profit?
Answer:
No, she would not profit.
Step-by-step explanation:
1 dollar = 126 yen
x = 1000000 yen
1000000 ÷ 126 = $7, 936.51
$2,000 is not enough to cover the value of the painting as Taylor would lose over $5,000. So, she would not profit.
Hope that helps.