Answers
Step-by-step explanation:
the slope-intercept form of a line (= linear function) is
y = ax + b
"a" is the slope of the line and represents the ratio "y coordinate change / x coordinate change" when going from one point to another on the line.
"b" is the y-intercept (the y value when x = 0; in other words, the y value where the line intercepts the y axis).
so, for the slope, let's compare 2 points. and let's pick just the first 2.
(1, 8) to (2, 11).
x changes by +1 (from 1 to 2).
y changes by +3 (from 8 to 11).
so, the slope is +3/+1 = 3/1 = 3
and our equation looks like
y = 3x + b
to get b, we use one point. I pick the first one for the smallest numbers :
8 = 3×1 + b = 3 + b
5 = b
the full line equation is therefore
y = 3x + 5
Related Questions
Round 297,433 to the nearest hundred.
Answers
Hope this helps!
Answer:
297,433 rounded to the nearest hundred would be 297,400. You can see that 33 is less than 50, so it would be rounded down to 0.
7/8 square foot in 1/4 hour
Answers
Answer:
2 1/2
Step-by-step explanation:
The unit rate for the given parameters is 3 1/2 square feet /hour.
Given that, 7/8 square feet in 1/4 hour.
We need to find the unit rate.
How to find unit rate?In a unit rate, the denominator is always 1. So, to find the unit rate, divide the denominator with the numerator in a way that the denominator becomes 1.
Now, unit rate = 7/8 ÷ 1/4
=7/8 × 4 =7/2
=3 1/2 square feet /hour
Therefore, the unit rate for the given parameters is 3 1/2 square feet /hour.
To learn more about a unit rate visit:
https://brainly.com/question/11258929.
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–8 ÷ 2 =
answer now and free r
Answers
Answer:
-4
Step-by-step explanation:
What is the value of x in the equation -6x-5x+22?
-22
-2
2
22
What is the answer
Answers
Answer:
theres no answer
Step-by-step explanation:
is there more?
Hugo began his science experiment with 22 grams of sugar crystals. During the experiment, the change in the mass of the sugar crystals was
–
6 grams.
What is the final mass of the sugar crystals?
Answers
Answer:
its actually 16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Identify the domain and range of each relation
whether the relation is a function.
1. {(3, 6), (5,7), (7.7) (8. 9)}
Answers
and the range is all the y values so 6,7,9 (don’t repeat numbers)
yes it’s a function because the x values dont repeat
Question 4 fast please
Answers
Answer:
X=-10
Step-by-step explanation:
Collinear points are points on the same line.
Use the equation of gradient to find the gradient. Then use the gradient to find X
[tex]\frac{Y2-Y1}{X2-X1}=Gradient of a slope[/tex]
[tex]\frac{2-(-4)}{3-0}=\frac{2+4}{3}=\frac{6}{3}=2[/tex]
[tex]\frac{x+4}{-3-0}=2[/tex]
Multiply both sides of the equation to get rid of the fraction.
[tex]\frac{x+4}{-3}*-3 =2*-3[/tex]
x+4=-6
x=-6-4
x=-10
I can’t.....help. I’m gay, I don’t understand math.
Answers
Answer:
i cant help i do not know answer
Answer:i-
Step-by-step explanation: good luck
can someone help me figure this out ?
Answers
Answer: AAS
Step-by-step explanation:
Lets call the intersection point between AC and DE F.
I think he meant the two triangles AFE and DFC.
We know angle A is congruent to angle D.
We also know AE is congruent to DC.
There is also a hidden piece of evidence which is AFE is congruent to DFC due to vertical angles.
We know two angles and 1 side, so we can use AAS to figure out that the two smaller triangles are congruent.
Write an expression equivalent to -4(-6m - 7).
Answers
Answer: 24m+28
Step-by-step explanation:
Distribute the negative four among the two terms.
Answer:
[tex](12*2)m+(-56/-2)[/tex]
I hope this helped :)
what is 6g-m/2 if g=4 and m=16
Answers
Answer:
I think the answer would be 16?
Step-by-step explanation:
if you plug in the given numbers that represent each letter it would be 6(4)-16/2 = 24-8= 16
Apocalyptica Corp. pays a constant $18 dividend on its stock. The company will
maintain this dividend for the next 4 years and will then cease paying dividends
forever. If the required return on this stock is 7.78 percent, what is the current share
price?
Answers
Given :
Apocalyptica Corp. pays a constant $18 dividend on its stock.
The company will maintain this dividend for the next 4 years and will then cease paying dividends forever.
To Find :
If the required return on this stock is 7.78 percent, what is the current share
price.
Solution :
Current price ( After 4 hours ) :
[tex]C.P = 18[\dfrac{1}{(1+0.10)^1}+\dfrac{1}{(1+0.10)^2}+\dfrac{1}{(1+0.10)^3}+\dfrac{1}{(1+0.10)^4}]\\\\C.P=\$57.058[/tex]
Therefore, current share price is $57.058 .
Hence, this is the required solution.
In a sports competition, Alyssa was penalized -16 points. She received the same number of penalty points in each of the 4 events. How many points was she penalized each event?
Answers
Answer:
-64
Step-by-step explanation:
multiply -16 by 4 to get the total of -64
What is an equation of the line that passes through the points (3,3) and (-2,6)
F.y=-3/5x + 24/5
G.y=-3/5x - 24/5
H.y=3/5x + 24/5
J.y=3/5x - 24/5
Answers
Answer:
F
Step-by-step explanation:
x - x1/ x2-x1= y - y1/ y2 -y1
x - 3 / -2 -3= y -3/6-3
x-3/-5=y-3/3
3(x-3)= -5(y-3)
3x-9= -5y +15
5y = -3x +24
y= -3x/5 +24/5
The curved surface area of a right circular cylinder of height14 cm is 88 cm2. Find the diameter of the base of the cylinder.
Answers
Answer:
4
Step-by-step explanation:
The formulae for Curved surface
area = πrh
Area = 88cm2
height = 14cm
radius = ?
Let π be 22/7
88 = 22/7 x r x 14
cross multiply
88 x 7 = 22 x 14 x r
616 = 308r
Divide both sides by 308
r = 2
Diameter = Radius x 2
so our radius is 2, 2 x 2 = 4
The ratio of pink rose to yellow roses in a flower arrangement is 5:3. If there are 15 yellow roses, then how many total flowers are in the arrangement?
Answers
Answer:
bat ang pogi ko hahahaha
10. Points D, E, and F are non-collinear. How many lines can be drawn that pass through F and are perpendicular
to DE ? Use a diagram to illustrate your answer.
Answers
Given:
Points D, E, and F are non-collinear.
To find:
Number of lines that pass through F and are perpendicular to DE.
Solution:
Points D, E, and F are non-collinear. It means points D, E and F are not lie on a single straight line.
We know that, the number of perpendicular lines on a line from a particular point is 1.
So, number of lines that pass through F and are perpendicular to DE is 1 as shown in the below figure.
PLease help me(: !!!!!!!!!!!!!!!!!!!!
Answers
Answer:
should be 65
Step-by-step explanation:
if not then hmu
Which inequalities are true? Check all that apply.
Answers
Answer:
1,2,3, and 5
Step-by-step explanation:
I plugged them all into a calculator
como se obtiene la raiz cuadrada de un numero?
Answers
Answer:
Multiplica el numero por si mismo.
Step-by-step explanation:
Por ejemplo, la raíz cuadrada de 3 es 9 porque 3x3=9
If the measure of angle 1=4x-3 and the measure of angle 2=3x+8, find the value of x so that the measure of angle 1 is supplementary to the measure of angle 2.
Answers
Answer:
hujikmnjhu
Step-by-step explanation:
egyiru9epojgtur9iokejrue
Write as a single exponent.
1. ( 1/10 x 1/10 x 1/10 x 1/10 )^2
2. ( 1/10 x 1/10 x 1/10 )^3
3. ( 10 x 10 x 10 )^-2
Answers
Step-by-step explanation:
1. (1/10 × 1/10 × 1/10 × 1/10)^2
(10^-4)^2
10^-8
2. (1/10 × 1/10 × 1/10)^3
(10^-3)^3
10^-6
3. (10 × 10 × 10)^-2
(10^3)^-2
10^-6
Question
Write as a single exponent.
1. ( 1/10 x 1/10 x 1/10 x 1/10 )^2
2. ( 1/10 x 1/10 x 1/10 )^3
3. ( 10 x 10 x 10 )^-2
Is this the answers? Idk I’m dumb
Answers
Answer:
Step-by-step explanation:
yes i think
What is an equation of the line that passes through the point (-6, -7) and is
perpendicular to the line 6x + 5y = 30?
Answers
Answer:
Step-by-step explanation:
Product of slope of perpendicular lines = -1
6x + 5y = 30
Write this equation in y = mx + b form
5y = -6x + 30
y = [tex]\frac{-6}{5}x+\frac{30}{5}[/tex]
[tex]y=\frac{-6}{5}x + 6[/tex]
Slope of this line m₁ = -6/5
m₁ * m₂ = -1
m₂ = -1÷m₁ = -1 * [tex]\frac{5}{-6}[/tex]
[tex]m_{2}=\frac{5}{6}[/tex] & (-6 , -7)
Equation of the required line: y - y₁ = m (x - x₁)
[tex]y - (-7) = \frac{5}{6}(x - [-6])\\\\y + 7 = \frac{5}{6}x + 6 *\frac{5}{6}\\\\y = \frac{5}{6}x +5-7\\\\y=\frac{5}{6}x-2[/tex]
A sculptor is designing her new triangular masterpiece. In her scale drawing, the shortest side of the triangular piece to be made measures The longest side of the drawing measures The longest side of the actual triangular piece to be sculpted must be long. How long will the shortest side of this piece be?
Answers
Answer:
3.71 m
Step-by-step explanation:
Here is the complete question.
A sculptor is designing her new triangular masterpiece. In her scale drawing, the shortest side of the triangular piece to be made measures 7 cm. The longest side of the drawing measures 20 cm. The longest side of the actual triangular piece to be sculpted must be 10.6 m long. How long will the shortest side of this piece be?
Solution
This is a scale drawing question.
Since scale = Scaled size/Actual size, we need to find the scale ratio of the triangle.
Now, the longest side of the drawing measures 20 cm which is equal to the scaled size and the longest side of the actual triangular piece to be sculpted is 10.6 m long which is the actual size.
So, scale = 20 cm/10.6 m
= 0.2/10.6
= 1/53.
Since in the scale drawing, the shortest side of the triangular piece to be made measures 7 cm, this is the scaled size, so the actual size of the shortest side is gotten from
scale = Scaled size/Actual size.
So,
Actual size = Scaled size/scale
= 7 cm ÷ 1/53
= 53 ×7 cm
= 371 cm
= 3.71 m
Need help with this algebra problem 15 points will give brainiest if right
Answers
Answer:
b is the lowest and d is the highest y axis
Step-by-step explanation:
Which of the following fractions have the same value as 16 ÷ (–3)? Check all that apply.
A.StartFraction 16 over negative 3 EndFraction
B.StartFraction negative 16 over negative 3 EndFraction
C. StartFraction negative 16 over 3 EndFraction
D.StartFraction 16 over 3 EndFraction
E.Negative (StartFraction 16 over 3 EndFraction)
F.Negative (StartFraction 16 over negative 3 EndFraction)
Answers
Answer:
- 8/3
Step-by-step explanation:
eh
The fractions that have the same value as 16 ÷ (–3) is StartFraction 16 over negative 3 EndFraction. Option A is correct.
As we all know that a fraction comprises of majorly the upper part which is the numerator, separated by a division line, and the lower part which is the denominator.
The given expression 16 ÷ (–3) can be represented in fraction as;
[tex]\mathbf{\dfrac{16}{-3}}[/tex]
From the given options:
A. StartFraction 16 over negative 3 EndFraction
[tex]\mathbf{\dfrac{16}{-3}}[/tex]
B. StartFraction negative 16 over negative 3 EndFraction
[tex]\mathbf{=\dfrac{-16}{-3} }[/tex]
[tex]\mathbf{=\dfrac{16}{3} }[/tex]
C. StartFraction negative 16 over 3 EndFraction
[tex]\mathbf{\dfrac{-16}{3}}[/tex]
D. StartFraction 16 over 3 EndFraction
[tex]\mathbf{\dfrac{16}{3}}[/tex]
E. Negative (StartFraction 16 over 3 EndFraction)
[tex]\mathbf{-\Big(\dfrac{16}{3}\Big)}[/tex]
[tex]\mathbf{\dfrac{-16}{-3}}[/tex]
F. Negative (StartFraction 16 over negative 3 EndFraction)
[tex]\mathbf{-\Big(\dfrac{16}{-3}\Big)}[/tex]
[tex]\mathbf{\dfrac{-16}{3}}[/tex]
Therefore, from the above explanation, we can see that only option A is correct.
Learn more about fractions here:
https://brainly.com/question/14748058?referrer=searchResults
Rewrite in simplest terms: 4(-3f-4)-9f
Answers
Answer:
-21f-16
Step-by-step explanation:
4(-3f-4)-9f
-12f-16
Find the midpoint (-4,6) (5,-9)
Answers
The midpoint would be (1/2, -3/2). Hope this helps! Please mark brainliest:)
Katarina wrote the standard form of a linear equation as 4x – 4 x minus StartFraction 2 Over 3 EndFraction y equals 8.Y = 8. Sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. What advice did Sofiya give to Katarina? Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24. Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12. Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 8. Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 4.
Answers
Answer:
Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.
Step-by-step explanation:
Katarina's equation
4x - 2/3y = 8
In order to convert Katrina's linear equation into standard form,
She should find the least common denominator
4x - 2/3y = 8
{4x(3) - 2y(1)} / 3 = 8
(12x - 2y) / 3 = 8
Multiply both sides by 3
(12x - 2y) / 3 × 3 = 8 × 3
12x - 2y = 24
Divide both sides by 2
(12x - 2y) / 2 = 24 / 2
6x - y = 12
The advice sofiya gave Katrina is to Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.
Answer:
B) Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.
Step-by-step explanation:
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