Answer:
y - 6 = 1/4(x - 4).
Step-by-step explanation:
The slope m = (7-6)/(8-4) = 1/4
y - y1 = m(x - x1)
Using the point (4, 6)
y - 6 = 1/4(x - 4) (answer)
The equation of line passes through the points (4, 6) and (8, 7) will be;
⇒ y = 1/4x + 5
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (4, 6) and (8, 7).
Now,
Since, The equation of line passes through the points (4, 6) and (8, 7) .
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (7 - 6) / (8 - 4)
m = 1 / 4
m = 1/4
Thus, The equation of line with slope 1/4 is,
⇒ y - 6 = 1/4 (x - 4)
⇒ 4 (y - 6) = x - 4
⇒ 4y - 24 = x - 4
⇒ 4y = x - 4 + 24
⇒ 4y = x + 20
⇒ y = 1/4x + 5
Therefore, The equation of line passes through the points (4, 6) and
(8, 7) will be;
⇒ y = 1/4x + 5
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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In a square of side length s, what is the length of a diagonal?
Answer:
[tex]s\sqrt{2}[/tex]
Step-by-step explanation:
This would be the diagonal because the formula for diagonals in a square would be [tex]a\sqrt{2}[/tex], where a is the side length.
If one ream of bond paper costs (3x -4) pesos. How many reams can you buy for ( 6x4 -17x3 +24x2- 34x + 24) pesos?
Answer:
1 ream = (3x - 4) pesos
Price of n reams = (6x^4-17x^3+24x^2 34x+24) pesos
Solution:(pic1)
number of reams 3x-4
By using synthetic division,
3x-4=0
3x=4
x=4/3
6 -17 24 -34 24 | 4/3
8-12 16-24
6 -9 12-18 0
Final equation is:(pic2)
help, please i cant do this
============================================================
Explanation:
Use the pythagorean theorem to tie together the three sides of the right triangle.
[tex]a = x-3 = \text{horizontal leg}\\b = x+5 = \text{vertical leg}\\c = 9 = \text{hypotenuse}[/tex]
[tex]a^2 + b^2 = c^2\\(x-3)^2 + (x+5)^2 = 9^2\\x^2-6x+9 + x^2+10x+25 = 81\\2x^2+4x+34 = 81\\2x^2+4x+34-81=0\\2x^2+4x-47=0\\[/tex]
From here, we use the quadratic formula to solve for x.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(4)\pm\sqrt{(4)^2-4(2)(-47)}}{2(2)}\\\\x = \frac{-4\pm\sqrt{392}}{4}\\\\x \approx \frac{-4\pm19.79898987}{4}\\\\x \approx \frac{-4+19.79898987}{4} \ \text{ or } \ x \approx \frac{-4-19.79898987}{4}\\\\x \approx \frac{15.79898987}{4} \ \text{ or } \ x \approx \frac{-23.79898987}{4}\\\\x \approx 3.94974747 \ \text{ or } \ x \approx -5.94974745\\\\[/tex]
We'll ignore the negative x value because it makes the sides x+5 and x-3 to be negative numbers. Negative side lengths make no sense.
The only practical solution is roughly x = 3.94974747; rounding to 3 sig figs leads to the final answer of x = 3.95
In this case, 3 sig figs means that we're rounding to 2 decimal places.
[tex]\sqrt{250} * 810[/tex]
Someone help me pls!
You can buy 3 apples at Quick Mart for $1.17. You can buy five of the same apples at Shop & Save for $2.40
How much will you save per apple if you buy them at the cheaper store?
Answer:
$0.09 or 9 cents
Step-by-step explanation:
1.17/3=0.39
2.4/5=0.48
0.48-0.39=0.09
Answer:
Well you can divide them by each
1.17/3 which is 0.39 (quick mart)
2.4/5 Which is 0.48 (stop and save)
39 cent is what you pay at the cheaper store
9 cents is what you would save
-also you go to bay academy?
I haven’t seen Jupiter ed in so long hahah
LCM of 4/6 and 4/8????
Answer:
24 is the LCM of 4,6,8. I think thats what your looking for.
Hope this helps!
Step-by-step explanation:
Emily spends $28 on food. This amount of 4/9 of her allowance, what is Emily’s allowance?
please help with explanation !
Answer:
$63
Step-by-step explanation:
so we want to find 9/9 of her allowance, which is 100%
we could use a proportion:
let 'a' = full allowance
[tex]\frac{28}{1}[/tex] ÷ [tex]\frac{4}{9}[/tex] = [tex]\frac{a}{1}[/tex] ÷ [tex]\frac{9}{9}[/tex]
when we divide fractions we multiply by the reciprocal to get:
28 x 9/4 = a
a = 252/4
a = 63
Describe the following
Answer:
yes it's a function, but not a relation.
Step-by-step explanation:
Because it is a polynomial function
y=-3x+2
A line goes through the point (-3,1) and is perpendicular to the line above,
answer the following:
a. what is the equation of the line that goes through these points in Slope-Intercept Form.
b. What is the x-intercept?
c. What is the y-intercept?
Answer:
a. y= 1/3 x + 2
b. x= -6
c. y=2
Step-by-step explanation:
a. y= mx+ cthe points are (-3,1)
the gradient is 1/3 as it is perpendicular
therefore substituting:1= 1/3 (-3) +c
1= -1 +c
c= 1+1
=2
So, y= 1 x + 2
3
b.
x-intercept is when y=0
so substituting 0 in the equation
here: 0=1/3x + 2
1/3 x = -2
x = -6
c.
y-intercept is when x=0
y=1/3 (0) +2
y=2
Which of these are prime numbers 5,6,9,13,18
Answer:
5 and 13
Step-by-step explanation:
Answer:
13
is the answer
Hope it help u
The weights of 2-pound bags of Best Dog Food are approximately normally distributed with a given mean Mu and standard deviation Sigma. According to the Empirical Rule, what percentage of the bags will have weights within 3 standard deviations of the mean? 47. 5% 68% 95% 99. 7%.
About 2% of the population has a particular genetic mutation. 400 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 400.
Answer:
200
Step-by-step explanation:
So it'll be 400 ÷ 2 = 200 , and a way to to check your way would be 200 x 2 = 400
Lindsay got her hair cut. The cost of a haircut
is $16. If she wants to tip her hairstylist 20%,
how much should she leave for the tip?
what is the center and radius of
[tex]x {}^{2} + y {}^{2} - 2x + y - 1 = 0[/tex]
[tex] = circle \: \: with \: \: the \: \: radius \: \: r = \frac{3}{2} \: \: and \: \: the \: \: center \: \: (1, - \frac{1}{2} )[/tex]
see the attachment
hope it helpsIf the simple interest on $1000 for 2 years is $100, then what is the interest rate?
Answer:
R = 450%/year
Equation:
r = (1/t)(A/P - 1)
Converting r decimal to R a percentage
R = 4.5 * 100 = 450%/year
A beach ball has a radius of 3 inches calculate volume
Answer:
113.1 in.³
Step-by-step explanation:
V = (4/3)πr³
V = (4/3) × 3.14159 × (3 in.)³
V = 113.1 in.³
(04.04)
Which graph represents a linear function? (4 points)
Group of answer choices
A coordinate plane is shown with a line passing through the x-axis at negative 2 and the y-axis at negative 6.
A coordinate plane is shown with a curved line that starts in the bottom left area of the graph, passing through the point -1 comma -5, curving to pass through the y-axis at 2.5, then curving up again to pass through the point 1 comma 5
A coordinate plane is shown with a parabola graphed in an upward U shape. The bottom of the parabola touches the y-axis at -10 and curves upward on both sides
A coordinate plane is shown with a wavy line that sits on the x-axis and moves across the graph in even up and down waves.
A linear function is one of the most simplest form of functions. As the name "linear" indicates, a linear function is simply a line, more precisely a straight line.
So it is in the form of f(x) = ax + b.
Lets now check the possible answers : (second answer :) "a curved line", not correct.
(third answer:) "a parabola", this is not a straight line, so not correct.
(fourth answer:) "a wavy line", not a straight line, so not correct.
The only correct answer is the first one : a line passing through the x axis at negative 2 and the y axis at negative 6.
Is - 1/2 equivalent to 1/-2
YES
- 1/2 is equivalent to 1/-2
The detailed answer is in the image attached.
Hope it helps you.....
Please mark as Brainlliest!!!
what is 5 taken away from the product of 4 and a number.
Answer:
3
Step-by-step explanation:
Not sure, but let's take 32 to be the answer
4(5+x)=32
4×5= 20
4×x= 4x
20-4x=32
4x=32-20
4x=12
12÷4
x=3
Answer:
4n - 5
Step-by-step explanation:
let the number be n then the product of 4 and this number is 4n
Subtract 5 from 4n gives
4n - 5
Simplify the expression.
x - 9 - 5x+7 - 2y
Answer:
add the like terms then look for a gcf to take out atleast for this one
so -9+7= -2
-5x + 1x = -4x
and -2y
we can take -2 out of all those
so our answer is -2(2x+y+1
HELP PLEASE, LOOK AT PICTURE FOR WHOLE PROBLEM.. PLEASE ANSWER QUICK I DON'T HAVE MUCH TIME LEFT TO ANSWER
Answer:
2[tex]\sqrt{8}[/tex]
Step-by-step explanation:
According to Euclidian theorem :
h^2 = 4*8
h^2 = 32 find the root for both sides
h = 2[tex]\sqrt{8}[/tex]
Find the perimeter. Simplify your answer.
what are complementry angles
Answer:
either of two angles whose sum is 90°
Hello there! :)
Complementary angles are angles that add up to 90 degrees.
Example:
34 and 56 are complementary angles.
Hope this helps!
~Just a gloomy teen
#CarryOnLearning
[tex]SilentNature \\:([/tex]
140 grams of almonds cost $3.5. Mechael needs almonds for the dish she is preparing. How much she has to pay for 500 grams of almonds cost?
Answer:
$12.5
Step-by-step explanation:
140 divided by 7 is 20, since 20 is a factor of 500, it will make it easier. Since we divided the 140 grams by 7, we also have to divide the $3.5 by 7, which will get you$0.5. 20 times 25 is 500, so you will also time the $0.5 by 25 which will get you $12.5
simpify 5 cubed to the power of 6
[tex]5 cubed to the power of 6[/tex]
[tex]\displaystyle (5^3)^6 = 5^{(3 \times 6)} = 5^{18}[/tex]
Write an equation that represents this question below ...
1+1
This is pretty easy I know
Answer: 2
Step-by-step explanation: i dont even need to explain
Answer:
2
Step-by-step explanation:
one apple plus one apple gives you two apples :)
(a) 3 - 2/3÷4/3 × 7
(b) [(2/3)/(5/6)]-2/5
(c) {(-3/4) +( 1/2)}/{(2/5)-(5/2)}
Step-by-step explanation:
a. (3 - 2/3) ÷ (4/3 x 7)
= [(3 x 3) / (1 x 3) - 2/3] ÷ 28/3
= (9/3 - 2/3) ÷ 28/3
= 7/3 x 3/28
= 21/84
= (21 x 1) / (21 x 4)
= 1/4
b. 2/3 ÷ 5/6 - 2/5
= 2/3 x 6/5 - 2/5
= 12/15 - 2/5
= (3 x 4) / (3 x 5) - 2/5
= 4/5 - 2/5
= 2/5
c. (- 3/4 + 1/2) ÷ (2/5 - 5/2)
= [- 3/4 + (1 x 12) / (2 x 2)] ÷ [(2 x 2) / (5 x 2) - (5 x 5) / (2 x 5)]
= (- 3/4 + 12/4) ÷ (4/10 - 25/10)
= 9/4 ÷ (- 21/10)
= 9/4 x - 10/21
= - 90/84
= (6 x - 15) / (6 x 14)
= - 15/14.
If you have any doubt, then you can ask me in the comments.
An equilateral triangle and a rectangle have the same perimeter.
How do you find the side lengths of the equilateral triangle and the rectangle?
I think you already got the explanation part
I've just solved for 'x' in here
And to check if the answer is correct or not, you just put in this value of x and try finding the perimeter for each.
You'll get 24 units!
I'm sorry, but it wouldn't let me answer earlier XD
What is 968.1 as a fraction
I believe it is 9681/10.
Answer:
the answer is 9681/10
Step-by-step explanation:
9681/10