Answers
Take 2 coordinates
(1,0)(8,6)Slope'-
m=6/8-1m=6/7Equation in point slope form
y-0=6/7(x-1)7y=6x-6y=6/7x-6/7Answer:
[tex]y=\dfrac67x-\dfrac67[/tex]
Step-by-step explanation:
From inspection of the graph, we have been given two points on the line:
[tex]\textsf{let}\:(x_1,y_1)=(1,0)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(8,6)[/tex]
Therefore:
[tex]\textsf{slope}\:(m)=\dfrac{6-0}{8-1}=\dfrac67[/tex]
Point-slope form of linear equation: [tex]y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
Substituting the values of m and (x₁, y₁):
[tex]\implies y-0=\dfrac67(x-1)[/tex]
[tex]\implies y=\dfrac67x-\dfrac67[/tex]
Therefore, the equation of the line in slope-intercept form is:
[tex]y=\dfrac67x-\dfrac67[/tex]
Related Questions
Tj is thinking of a number, which he calls n. He finds 1/3 of the number and then subtracts 5.
Answers
Answer:
1/3n-5
Step-by-step explanation:
n=1/3n
subtract 5
so the expression is 1/3n-5
Answer:
[tex]n\frac{1}{3}-5[/tex]
Step-by-step explanation:
Hey there!
This is the equation for your answer because you said that he finds 1/3 of n and then subtracts 5
Which angles are acute?
D
A B
C
Check all that apply.
A. ZDBC
B. ZGFE
C. ZDBA
D. ZMLK
E
14
H
L
M
K
Answers
Answer:
B & C
Step-by-step explanation:
Acute angles are sharp-like angle - they are measured between 1° up to 89°. That means acute angles have measurement starting from 1 to 89.
The shape of acute angles, as said, they are namely sharp angles because their vertex and lines form sharp shape.
So what you have to do is to find angles that look like a sharp pencil/pen, probably something that can be understandable:
Sharp-looking measurements are:
∠DBA∠GFEKeep in mind that ∠GFE is really an acute angle, but ∠HFE is a right angle.
Let’s look into more types of angles as shown in choices:
∠DBC is an obtuse angle - it is the angle measurement between 91° up to 179°∠MLK is a right angle - it is the angle measurement of exact 90° - keep in mind, only right angles can have measurement of 90°Hence, acute angles are ∠GFE and ∠DBA
The angles which are acute are ∠GFE and ∠DBA.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
Given three figures and corresponding angles.
We have to find the acute angles.
Acute angles are angles which measures less than 90 degrees.
An angle which measure 90 degrees is the right angle which stands vertically.
Acute angles are less than this.
From the figure and options, acute angles are ∠GFE and ∠DBA.
Hence the acute angles are ∠GFE and ∠DBA.
Learn more about Acute Angles here :
https://brainly.com/question/10334248
#SPJ7
What is 0.¯47 expressed as a fraction in simplest form?
Answers
Answer:
The answer would be 47/99
Step-by-step explanation:
1 Which expression best represents the opposite of the opposite of 8 1/4 ?
A) -(+8 1/4)
B) -(-8 1/4)
C) +(-8 1/4)
D) +(+8 1/4)
Answers
Answer:
b.
Step-by-step explanation:
We have been given a number 8¼. We are asked to find the opposite of the opposite of our given expression.
Since our given number in positive, so opposite of our given number will be:
–8¼
The opposite of new number will be:
–(–8¼)
Therefore, the expression –(–8¼) represents the opposite of the opposite of 8¼ and option 'b' is the correct
This question is from one of my practice questions, since im studying. Can someone help me with this?
Answers
please help me right now
Answers
Step-by-step explanation:
1. 3=5x-12
3+12=5x
15/5=x
3 = X
2. -3x + 5 = -13
-3x= -13 -5
x = -18/-3
x= 6
3. -x+6=4
-x =4-6
x=-2/-1
×=2
4.-4y=48
y =48/-4
y = -12
5. m/2=10
m=10×2
m=20
6.-2.5b=20.5
b = 20.5/-2.5
b = -4.2
7. ×/7+15=8
×/7 = 8-15
× = -7×7
× =-49
8. ⅓d-6=0
⅓d=6
d =6×3
d =18
9.(g-13)/4=9
g-13=9×4
g =36+13
g =49
10. (1-k)/5=5
1-k =5×5
-k =25-1
k =24/-1
k=-24
Help find the volume of the figure in terms of Pi.
Answers
In this case, the radius is equivalent to 2mi and the height is equivalent to 7mi. This means….
r^2=4
h=7
Now plug in the numbers into the formula for the volume of a cone.
1/3•4•7•pi
28/3pi
The answer is 28/3 pi.
Answer:
9.33π
Step-by-step explanation:
the formula to solve for the volume of a cone is V=πr^2 * h/3
r = radius of base (2mi)
h = height (7mi)
plug in the numbers
V=π2^2 * 7/3
V=π4*2.33333333
V=9.33π
Which description is correct for the polynomial 4x² +3x +5?
quadratic trinomial
quartic monomial
cubic trinomial
cubic binomial
Answers
Answer:
the answer to this question. is quadratic trinomial
Answer:
The answer is quadratic trinomial because it is to the power of 2, and has 3 terms.
The equation of a line is y = -4x + 10
What is the y-intercept of the line
Answers
Answer:
10
Step-by-step explanation:
the formula y = mx +c
the y is obviously, y.
m, also means the gradient has a value of -4
c is the y-intercept, so the value of c is 10.
Hello! Can someone help me, please? Thank you so much!
Topic: possibility.
How many double digit numbers are there where the two digits are different from each other ?
Answers
Answer:
81
Step-by-step explanation:
double digit numbers begin at 10 and end at 99
10 → 19 has 10 double digits
20 → 29 has 10 double digits
and so on up to 90 → 99
that is there are 90 double digits from 10 → 99
double digits with same value are 11, 22, 33, 44, 55, 66, 77, 88, 99
that is 9 double digits with the same value
Then double digits with different values = 90 - 9 = 81
Answer:
81 double digits numbers.
Step-by-step explanation:
From 1 to 99, first 9 numbers are single digit numbers
Double digit numbers = 99 - 9 =90
In this 90 numbers, 11,22,33,44,55,66,77,88,99 have same digits.
90 - 9 = 81
The ratio of pencils to notebooks at a store is 5 to 3. Fill in the
The ratio of pencils to notebooks at a store is 5 to 3. Fill in the missing values to show the possible number of pencils and
notebooks.
Answers
Answer:
1st,15
2nd, 40
3rd, 36
Step-by-step explanation:
1. 5=25
3=? =3*25/5
=15
2. 3=25
5=? 5*25/3
=40
3. 5=60
3=? 3*60/5
=36
Which is the radius of a circle whose equation is (x-7)^2+(y-10)^2=4
Answers
Answer:
2
Step-by-step explanation:
Standard form of a circle (x-h)^2 + (y-k)^2 = r^2
this circle is already in this form
the center will be at h, k or 7,10
the radius^2 = 4 so radius = 2
A _____________ is a line that provides an approximation of the relationship between the variables.
Answers
Answer:
srat
Step-by-step explanation:hehe i really dont know
Please help!! Will mark brainlyest.
Answers
Answer:
C
Step-by-step explanation:
It cannot be D and A and B are the same
Answer:
90 degrees around the origin
Step-by-step explanation:
When you rotate the first time it is 90 degrees
When you rotate two times it is 180 degrees
When you rotate three times it is 270 degrees
Hope it helps:)
2r +8= 26
» What is the value of r?
meters
Answers
Answer:
r = 9 meters
Step-by-step explanation:
2r + 8 = 26 <== subtract 8 from both sides
- 8 - 8
2r = 18 <== divide both sides by 2 to isolate the variable
/2 /2
r = 9 meters
Hope this helps!
Answer:
[tex]\boxed{\sf{r=9}}[/tex]Step-by-step explanation:
To find the value of r, isolate it on one side of the equation.
[tex]\sf{2r+8=26}[/tex]
First, you have to subtract by 8 from both sides.
[tex]\sf{2r+8-8=26-8}[/tex]
Solve.
Subtract the numbers from left to right.
26-8=18
2r=18
Divide by 2 from both sides.
[tex]\sf{\dfrac{2r}{2}=\dfrac{18}{2} }[/tex]
Solve.
Divide the numbers from left to right.
18/2=9
r=9
Therefore, the correct answer is r=9 meters.I hope this helps. Let me know if you have any questions.
Luke's water bottle holds 2,150 milliliters. He drinks 3.5 bottles of water each day. How many milliliters of water does he drink each day?
Answers
Answer:
7525 milliliters
Step-by-step explanation:
because if you multiply 2150 by 3.5 you will get that number
y=7x+5, y=2x+5
Solving systems
Answers
Answer:
x = 0, y = 5
Step-by-step explanation:
y = 7x + 5
=> x = (y-5) / 7
y = 2x + 5 = 2 *(y-5) /7 + 5
=> (y - 5) / 2 = ( y - 5) / 7
=> y =5 since only 0 / 2 = 0 / 7
=> x = (y -5) / 7 = 0 / 7 = 0
The distance between points A(1, -4) and B(x, -2) is [tex]\sqrt{5\beta }[/tex] units. Find x.
Answers
Answer:
5\beta ???
Step-by-step explanation:
please recheck the question ..
Find 3 ratios that are equivalent to the given ratio.
2/7
Answers
Answer:
I've got lots of ratios for you.
4/14
6/21
8/28
10/35
12/42
14/49
16/56
18/63
To calculate a ratio, next time do this...
If you are comparing one (A) to another (B), your formula would be A/B.
This means you are dividing information A by information B.
For example, if A is 5 and B is 10, your ratio will be 5/10.
Simple as that.
YW!!
Answer:
1) 3:4. 2) 30:40. 3) 45:80
Step-by-step explanation:
15:20 CAN SIMPLIFEY BY 5 SO. 15/5 =3 20/5=4 SO OVERALL ITS 3:4
Choose the model for the problem 2/3 ÷ 2 .
Answers
2/3 * 1/2
that should equal 2/6, but reduced is 1/3
the only one that shows 1/3 is the model on the far right (the forth one)
hope this helped!!
Circle A has center of (2,3) and a radius of five, and circle B has a center of (1,4) and a radius of 10.
What steps will help show that Circle A is similar to Circle B?
A.) Dilate circle A by a scale factor of 2
B.) Translate circle A using the rule. (x + 1, y - 1).
C.) Rotate circie A 180° about the center.
D.) Reflect circle A over the y-axis.
Answers
Answer:
A) Dilate circle A by a scale factor of 2Step-by-step explanation:
For two triangles to be similar, they need to have the same radius.
Circle A has a radius of 5, and Circle B has a radius of 10.So, to make them similar, we can simply :
dilate circle A by a scale factor of 2This would give Circle A and B the same radius, and they will be similar.
The diagram shows a straight line ABCD.
A is the point (−260,480) D is the point (620,−180)
The line cuts the y-axis at B and the x-axis at C.
Answers
Answer:
B (0, 285 ) , C (380, 0 )
Step-by-step explanation:
the first step is to obtain the equation of the line in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A(- 260, 480 ) and (x₂, y₂ ) = D (620, - 180 )
m = [tex]\frac{-180-480}{620-(-260)}[/tex] = [tex]\frac{-660}{620+260}[/tex] = [tex]\frac{-660}{880}[/tex] = - [tex]\frac{66}{88}[/tex] = - 0.75 , then
y = - 0.75x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equatio
using (620, - 180 ) , then
- 180 = - 465 + c ⇒ c = - 180 + 465 = 285
So y- intercept is B (0, 285 )
y = - 0.75x + 285 ← equation of line
to find the x- intercept , let y = 0 in the equation and solve for x
0 = - 0.75 + 285 ( subtract 285 from both sides )
- 285 = - 0.75x ( divide both sides by - 0.75 )
380 = x
x- intercept is C (380, 0 )
Difference:
x values
260 + 620 = 880
y values
480 + 180 = 660
Gradient = change in y/ change in x
Or
gradient = rise/run
= 660/880
= 3/4
= 0.75
We've got a negative slope - gradient must be negative
y = mx + c
y = - 0.75x + c
To find the y-intercept (c), which on the diagram is point B - you substitute one of the coordinates into the equation y = - 0.75x + c.
You use - point A or D - it don't matter which
I'll pick D - (620,−180)
y= -0.75x + c
-180 = - 0.75 x 620 + c
-180 = - 465 + c
+465
285= c
Thus, the equation is:
y = - 0.75x + 285
or
y = - 3/4x + 285
Where point B is (0,285) and C is (380,0)
To find:
B substitute x = 0 into the equation
(y= - 3/4 x 0 + 285)
C substitute y = 0 in the equation
0 = - 3/4x + 285
-285
- 285 = - 0.75x
÷ - 0.75
380 = x
( I converted 3/4 to 0.75 to make things clearer)
Hope this helps!
Find the diameter of a circle with an area of 6767 square centimeters.
The diameter is //] centimeters.
Answers
Diameter be d
Radius be r
πr²=6767r²=6767/πr²=2155r=46.4cmDiameter=2r=46.4(2)=92.8cm
A school has 24 teachers and
600 students
a. Write the ratio of teachers to students. Simplify it to its lowest terms.
b. To keep the same ratio of teachers to students, how many teachers should the school hire if the number of students increase to 800
Please do NOT answer with links!
Answers
Answer: a. 24:600
b. 53
Step-by-step explanation:
First simplify:
24:600
6:150
2:30
1:15
Model trains fascinate everyone—both children and adults.
Agree
Disagree
Explain why you voted the way you did.
Answers
It also depends on if the adult is a history buff, because the model train might be a fascinating rendition of a real train that cannot be visited.
Quick please I need this before I go
Answers
Answer:
143/63 or 2 and 17/63
Step-by-step explanation:
multiply the length times the width
13/9 x 11/7
12
14
Line tis graphed below. Triangle ABC and triangle CDE are similar triangles,
D
8
line
Which statement is true?
A The slope of AC is less than the slope of CE.
B The slope of AC is equal to the slope of CE.
С The slope of AC is greater than the slope of CE.
D Line t has a variable slope.
Answers
The rise/run of AC and CE in the similar triangles are the same, the true statement is: B. slope of AC = slope of CE.
What is the Slope of the Sides of Similar Triangles?On a coordinate plane, the corresponding sides of two triangles are always the same because the ratio of the rise over run is always the same.
Triangles ABC and CDE are similar triangles, therefore the rise over run of AC and CE, which is the slope, will be the same.
Thus, slope of AC = slope of CE.
Learn more about slope on:
https://brainly.com/question/3493733
Write the word 'MATHEMATICS' using line segments and observe the number of angles more than a right angle and number of angles less than a right angle
Answers
Answer:
Here is a diagram I made that shows all of the angles of the letters. (By to the way, letters I, C, and S don't have any angles, so I didn't include them.)
Step-by-step explanation:
The 8th term of a linear sequence is 18 and the 12th term is 26. Find the first term, the common difference and the 20th term
Answers
Answer:
see explanation
Step-by-step explanation:
the sequence is linear, that is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₈ = 18 and a₁₂ = 26 , then
a₁ + 7d = 18 → (1)
a₁ + 11d = 26 → (2)
subtract (1) from (2) term by term to eliminate a₁
4d = 8 ( divide both sides by 4 )
d = 2
substitute d = 2 into (1) and solve for a₁
a₁ + 7(2) = 18
a₁ + 14 = 18 ( subtract 14 from both sides )
a₁ = 4
then
a₂₀ = 4 + (19 × 2) = 4 + 38 = 42
Instructions: Find
the measure of the indicated angle to the nearest degree.
Answers
Cos(angle) = adjacent leg/ hypotenuse
cos(angle) = 21/36
angle = arccos(21/36
Angle = 54.31
Angle = 54 degrees