Answer:
1/7
Step-by-step explanation:
Consider the line passing through these two points. The increase in x (run) from the first to the second is 14; the increase in y (rise) is 2.
Thus the slope of this line is m = rise/run = 2/14, or m = 1/7
Answer:
[tex]m = \frac{1}{2}[/tex]
Step-by-step explanation:
To find the slope using two given sets of coordinates, the following function can be used:
[tex]m = \frac{y2-y1}{x2 - x1}[/tex]
Where x1,y1 are one set of coordinates and x2,y2 are the other set:
[tex]m = \frac{0 - (-2)}{-5 - (-9)}\\[/tex]
[tex]m = \frac{0 + 2}{-5 + 9}[/tex]
[tex]m = \frac{2}{4}[/tex]
This can be simplified down to:
[tex]m = \frac{1}{2}[/tex]
Hope this helps!
Find all of the rational zeros of the function. f(x)=x 4 −3x 3 −6x 2 +6x+8
Answer:
The "possible" rational zeros are:
±
1
,
±
2
,
±
4
,
±
8
The actual zeros are:
−
1
,
4
,
±
√
2
Explanation:
f
(
x
)
=
x
4
−
3
x
3
−
6
x
2
+
6
x
+
8
By the rational root theorem, any rational zeros of
f
(
x
)
are expressible in the form
p
q
for integers
p
,
q
with
p
a divisor of the constant term
8
and
q
a divisor of the coefficient
1
of the leading term.
That means that the only possible rational zeros are:
±
1
,
±
2
,
±
4
,
±
8
We find:
f
(
−
1
)
=
1
+
3
−
6
−
6
+
8
=
0
So
x
=
−
1
is a zero and
(
x
+
1
)
a factor:
x
4
−
3
x
3
−
6
x
2
+
6
x
+
8
=
(
x
+
1
)
(
x
3
−
4
x
2
−
2
x
+
8
)
Notice that the ratio between the first and second terms of the remaining cubic is the same as that between the third and fourth terms. So this cubic will factor by grouping:
x
3
−
4
x
2
−
2
x
+
8
=
(
x
3
−
4
x
2
)
−
(
2
x
−
8
)
x
3
−
4
x
2
−
2
x
+
8
=
x
2
(
x
−
4
)
−
2
(
x
−
4
)
x
3
−
4
x
2
−
2
x
+
8
=
(
x
2
−
2
)
(
x
−
4
)
Finally we can factor the quadratic as a difference of squares:
x
2
−
2
=
x
2
−
(
√
2
)
2
=
(
x
−
√
2
)
(
x
+
√
2
)
So the zeros are:
−
1
,
4
,
±
√
2
(3x-6)/(x^2+2) what is the answer
A rectangular pool 12 meters by 8 meters is surrounded by a walkway of width x meters. At what
value of x will the area of the walkway equal the area of the pool?
Explain. (don’t send file)
Unit 4 linear equations homework 9 parallel and perpendicular lines (day1) activity
Directions if segments AB and CD are parallel,perpendicular, or neither
The lines that are parallel continuously have equal distances from each
other and perpendicular lines form 90° angle at their intersection.
The correct responses are;
Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular, ⊥Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel. ║Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neitherSegment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular, ⊥Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular, ⊥Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neitherThe equations are parallel, ║The equations are perpendicular, ⊥The equations are perpendicular, ⊥The equations are neither parallel or perpendicularReasons:
Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular
[tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel where; Slope of [tex]\overline{AB}[/tex] = Slope of [tex]\overline{CD}[/tex]
[tex]\displaystyle \overline{AB} \ and \ \overline{CD} \ are \ perpendicular\ where; \ Slope \ of \ \overline{AB} = -\frac{1}{Slope \ of \ \overline{CD}}[/tex]
[tex]1. \ \displaystyle Slope \ of \ \overline{AB} = \mathbf{\frac{13 - 3}{-2 - 0}} = \frac{10}{-2} = -5[/tex]
[tex]\geq \displaystyle Slope \ of \ \overline{CD} = \frac{3 - 0}{10 - (-5)} = \frac{1}{5}[/tex]
[tex]\displaystyle \mathbf{Slope \ of \ \overline{AB}} = -\frac{1}{Slope \ of \ \overline{CD}}[/tex], [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular
[tex]2. \ \displaystyle Slope \ of \ \overline{AB} = \mathbf{\frac{7- 1}{3 - (-6)}} = \frac{6}{9} =\frac{2}{3}[/tex]
[tex]\geq \displaystyle Slope \ of \ \overline{CD} = \frac{-5 - (-1)}{-6 - 0} = \frac{-4}{-6}=\frac{2}{3}[/tex]
Slope of [tex]\mathbf{\overline{AB}}[/tex] = Slope of [tex]\overline{CD}[/tex] , [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel
[tex]3. \ \displaystyle Slope \ of \ \overline{AB} = \mathbf{ \frac{2- 4}{-6 - (-2)} = \frac{-2}{-4}} =\frac{1}{2}[/tex]
[tex]\displaystyle Slope \ of \ \overline{CD} = \frac{11 - (-7)}{-1 - 5} = \frac{18}{-6}=-3[/tex]
[tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neither parallel or perpendicular
[tex]4. \ \displaystyle Slope \ of \ \overline{AB} = \frac{8- 3}{-3 - 2} = \frac{5}{-5} =-1[/tex]
[tex]\displaystyle Slope \ of \ \overline{CD} = \frac{6 - 2}{-4 - (-8)} = \frac{4}{4}=1[/tex]
[tex]\displaystyle Slope \ of \ \overline{AB} = \mathbf{-\frac{1}{Slope \ of \ \overline{CD}}}[/tex], [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular
[tex]5. \ \displaystyle Slope \ of \ \overline{AB} = \frac{-1 - 2}{-8 - (-4)} = \frac{-3}{-4} =\frac{3}{4}[/tex]
[tex]\displaystyle Slope \ of \ \overline{CD} = \mathbf{\frac{-3 - 6}{0 - 12}} = \frac{-9}{-12}=\frac{3}{4}[/tex]
Slope of [tex]\overline{AB}[/tex] = Slope of [tex]\overline{CD}[/tex] , [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel
[tex]6. \ \displaystyle Slope \ of \ \overline{AB} = \frac{5 - (-1)}{6 - 3} = \frac{6}{3} =2[/tex]
[tex]\displaystyle Slope \ of \ \overline{CD} = \mathbf{\frac{-5 - 7}{2 - (-4)}} = \frac{-12}{6}=-2[/tex]
[tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neither parallel or perpendicular
Directions: To determine if the equations are parallel or perpendicular
Solution:
The equations are parallel if when expressed in the form, y = m·x + c, the value of m are equal
The equations are perpendicular, when we have;
[tex]\displaystyle The \ value \ of \ \mathbf{m} \ in \ one \ equation = -\frac{1}{The \ value \ of \ \mathbf{m} \ in \ the \ other\ equation }[/tex]
7. First equation
3·x + 2·y = 6
Therefore; [tex]\displaystyle y = -\frac{3}{2} \cdot x + 3[/tex]
Second equation; [tex]\displaystyle y = \mathbf{-\frac{3}{2} \cdot x + 5}[/tex]
The value of m which is the coefficient of x are both equal to [tex]\displaystyle -\frac{3}{2}[/tex]
Therefore, the equations are parallel
8. Equation 1; 3·y = 4·x + 15
Therefore;
[tex]\displaystyle y = \frac{4}{3} \cdot x + 5[/tex]
Equation 2; 9·x + 12·y = 12
[tex]\displaystyle y = -\frac{9}{12} \cdot x + 1 = 1 - \frac{3}{4} \cdot x[/tex]
The slope of the equation 2 is the negative inverse of the slope of equation 1, therefore, the equations are perpendicular
9. Equation 1: 8·x - 2·y = 4
Therefore;
y = 4·x - 2
Equation 2: x + 4·y = -12
Therefore;
[tex]\displaystyle y = -\frac{1}{4} \cdot x - 3[/tex]
The slope of the equation 2 is the negative inverse of the slope of equation 1, therefore, the equations are perpendicular.
10. Equation 1: 3·x + 2·y = 10
Therefore;
[tex]\displaystyle y = -\frac{3}{2} \cdot x - 5[/tex]
Equation 2: 2·x + 3·y = -3
[tex]\displaystyle y = -\frac{2}{3} \cdot x -1[/tex]
The slopes of the equation 1 and 2 are not equal, and are not the negative inverse of each other, therefore, the equations are neither parallel nor perpendicular.
Learn more about parallel and perpendicular lines here:
https://brainly.com/question/7197064
An animal shelter receives a shipment of items worth a total of $1890. Large bags of dog food are $8
each, pet blanket are $5 each, and dog toys are $4 each. There are 5 bags of dog food for each dog
toy and twice as many blankets as dog toys. How many of each item were shipped?
PLS HELP!!!
Answer:
Food bags - 175, pet blankets - 70, dog toys - 35Step-by-step explanation:
Given:
Dog food bags - f, cost of each $8, Pet blanket - b, cost of each $5Dog toy - t, cost of each $4Total cost $1890Equations:
8f + 5b + 4t = 1890f = 5tb = 2tSubstitute values of b and t into first equation and solve for t:
8(5t) +5(2t) + 4t = 189040t + 10t + 4t = 189054t = 1890t = 1890/54t = 35Find the values of f and b:
f = 5*35 = 175b = 2*35 = 70What is (-2) power 35?
Answer: − 34359738368
Drwa the staright line y = 2x-3
Answer:
The equation y = 2x - 3 represents a line with a slope of positive 2, and a y-intercept of -3.
Hope it helps :)
−2p + 23 = 15
What does p =
Answer:
look at the picture .................
A circle with a circumference of 6 has an arc with 20 central angle
Answer: 0.3 units
Step-by-step explanation: The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.
2. Draw 3 different polygons that have only 2 lines of symmetry
Answer:
Hello. The answer is : rectangle, rhombus
I cant think of a third one as yet.
Q8. the distance between two villages is 12875km. Express the distance in standard form.
Answer:
1.2875 × 10^4
Step-by-step explanation:
2. Select all of the trips that would take 4 hours. a. Drive 40 miles per hour between Gotham City and Smallville, which are 160 miles apart. Take a plane going 900 kilometers per hour from Town A to Town Z. which are 3,600 kilometers apart. c Walk 3.2 miles per hour to the grocery store, which is 8 miles away.
Answer:
i think the answer is 50 if not im sorry if there is another go for that one.
Step-by-step explanation:
Rene’s driveway is a rectangle 45 feet long by 20 feet wide. What is the area of the driveway?
Answer:
25 this is a write answer
How do you graph an equation using x and y intercepts.
Answer:
I'm going to use the following as an example.
[tex]2x + 4y = 8[/tex]
To find the y-intercept, set x equal to 0 then solve for y.
[tex]2(0) + 4y = 8[/tex]
two times zero is zero, so we have the following equation.
[tex]4y = 8[/tex]
Solve for y
[tex] \frac{4y}{4} = \frac{8}{4} \\ y = 2[/tex]
Your first point you will graph is (0, 2).
Now solve for the x intercept. To do this, set y = 0.
[tex]2x + 4(0) = 8[/tex]
4(0) = 0, so you can remove it, and solve for x.
[tex]2x = 8[/tex]
[tex] \frac{2x}{2} = \frac{8}{2} \\ x = 4[/tex]
Now the next point you have is (4, 0). plot that point. Connect the two points with a line and you are done.
Write the equation of the line with two given points
(-12, 14) and (6,-1)
read sddddddddd
dxfcgvhbjnkml,
Answer:
1/5
Step-by-step explanation:
rise = 2 ft
run = 10 ft
slope = rise/run = 2/10 = 1/5
Answer: 1/5
Answer:
1/5
Step-by-step explanation:
The slope is the rise over the run
Y / x
2/10
1/5
Pls help I will put brainlist if u help me told nd thank u
Answer:
17+7=24
Step-by-step explanation:
I hope this help you
Answer
10
Step-by-step explanation:
Subtract 7 from both sides of the equation.
n=17−7
Subtract 7 from 17.
n=10
BRAINLIEST?
How to find unique prime factorization of 10 factorial.
ANSWER CORRECT FOR BRAINLIEST
Answer:
3 2 /5 ×3
change 3 2 /5 into an improper fraction
then you will get 17 /5
after that you say 17/5 ×3/1
=(17×3)/ (5x1)
=51/5 (51÷5)
=10.2/ 10 1/5
[tex]3 \frac{2}{5} \times 3 \\ = \frac{17}{5} \times 3 \\ = \frac{51}{5} \\ = 10 \frac{1}{5} [/tex]
Answer:[tex]10 \frac{1}{5} [/tex]
Hope it helps.
Do comment if you have any query.
please answer and show work ill give u 70 point
1.answer
15/8-5/8=10/8answer
2.
9/5-1/5=8/5answer
3.3/2-1/2=2/2answer
Answer:
first question= 7/8
second question= 8/5
third question= 1
fourth question=23/8
fifth question=9/8
final question= 1/3
Step-by-step explanation:
1) 15/8 - 5/8 = 7/8
since the denominator is the same, it will be easier
do 15-8
which is 7
so the final answer is 7/8
(Remember that you don't subtract the denominator)
2) 9/5 - 1/5 = 8/5
Using the same method as the first question, you should get 8/5
8/5 as a mixed fraction would be 1 3/5
3) 1 1/2 - 1/2= 1
1 1/2 into a mixed fraction = 3/2
3/2-1/2
=2/2, which is 1
4) 3 1/4 - 3/8=23/8
3 1/4 as a mixed fraction is 13/4
so the equation would be 13/4 - 3/8
however, the denominator is not the same
and the least common multiple is 8
so 13/4 = 26/8
26/8-3/8= 23/8
5) 5/4 - 1/8 = 9/8
5/4 doesn't have the same denominator as 1/8, so you change it into 10/8
10/8-1/8
9/8
6) final question :)
5/6 - 1/2= 1/3
1/2 = 3/6
5/6-3/6
=2/6
after simplifying= 1/3
Hope it helps and have a nice day!
Mark me as branliest pls
The table shows the number of pages a student reads and how many
minutes it takes the student to read those pages.
Number of Pages Read
Number of Number of
Pages Minutes
9.0
6
13.5
8
18.0
4
Which statement best describes the relationship in the table?
Answer:
the unit rate is 2.25
Step-by-step explanation:
4×2.25=9.0
6×2.25=13.5
8×2.25=18.0
The diagram shows a triangle ABC.
B
Not drawn accurately
12.5 cm
A
4.6 cm
Work out the area of the triangle.
Give your answer to 1 decimal place.
please help and show working
Answer:
A ≈ 5.8 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 4.6 and h = 2.5 , then
A = [tex]\frac{1}{2}[/tex] × 4.6 × 2.5 = 2.3 × 2.5 ≈ 5.8 cm² ( to 1 dec. place )
Answer:
Step-by-step explanation:
Given the expression -2 + x + (-5) what values of x will make the expression greather than zero? Create and inequality to represent your solution
-2+x+(-5) > 0 <=> x-7 > 0 <=> x > 7
ok done. Thank to me :>
How many times does it intersect on the graph? y=x^2+3x-2, y-x=4
59 divided by 4=? PLEASE HELP!
Answer:
14.75
Step-by-step explanation:
56/4 = 14, 3/4 = .75
add them together
Answer: 14.75
Step-by-step explanation: yeah its 14.75 but if you want to simplify it, then its 14.8
I'll mark brainliest for the first correct answer
Area of circle = A = πr2 = π × 42 ≈ 50.26548 yard²
- BRAINLIEST answerer
Write an equation in slope intercept form for the line that has a slope of 1/4 and passes through the point (0, -2)
Step-by-step explanation:
the general slope intercept formula is
y = ax + b
a is the slope of the line.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the equation and solve for b :
-2 = (1/4)×0 + b
b = -2 (as expected)
the full line equation is
y = (1/4)x - 2
which is a proportional relationship
y=x+1
y=3x+3
y=4x
y=8+x
Answer:
4=4x
Step-by-step explanation:
the formula y=mx+b
corresponds to y=slope+y intercept
all proportional relationships start on the origin so the y-intercept is always 0
the fact that the equation y = 4x doesn't have an intercept shows its proportional this can go with any similar equation like y = 4.5x
helppp,no links or spam
Answer: 6.45 x 10^10
Step-by-step explanation:
Because 10^5 and 10^4 both have 10, we can add the exponents to get 10^9.
Multiplying 7.5 and 8.6 gets you
7.5 * 8.6 = 64.5
We can move the decimal up a place to get 6.45 and add another power to 10^9 to get 10^10
Your final answer should be 6.45 x 10^10
Answer:
C 6.45x 10 to the power of 10
Step-by-step explanation:
10 to the power of 5 is 100,000. 7.5x100,000 is 750,000.
10 to the power of 4 is 10,000.
10,000x8.6 is 86k
now we do 750,000x86,000 which is 64,500,000,000
10 to the power of 10 is 10 billion times 6.45 is 64,500,000,000
Mr. Johnston spends 2/3 of every year in Florida how many months does he spend in Florida each year
Answer:
8 months
Step-by-step explanation:
12/3 = 4, 1/3 is 4 so 1/3 + 1/3 = 2/3 or 8