Answer: y = -2x + 8
Step-by-step explanation:
gradient = change in y/ change in x = 8/-4 = -2
y = -2x + c
substitute values in
8 = 0 + c
c = 8
y = -2x + 8
The graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8
How to find the equation of a lineThe line is the distance between two points. The equation of a line in slope-intercept form is y = mx + b
m is the slopeb is the y-interceptFind the slopeSlope = -8/4
Slope = -2
Determine the y-intercept
Since the y-intercept is the point where the line cross the y-axis, hence b = 8.
FInd the required equation
y = -2x + 8
Hence if the graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8
Learn more on equation of a line here: https://brainly.com/question/18831322
Hello can you please help me with this question
Answer:
A
Step-by-step explanation:
...
Write 110% as a mixed number in simplest form.
110% = $$
Answer:
50
Step-by-step explanation:
Answer the following.
1 Bharat borrows a certain sum of money at
5% pa. If he pays 2000 as simple interest
at the end of the first year, find the sum he
borrowed
Answer:
40000
Step-by-step explanation:
Simple interest (I) is calculated as
I = [tex]\frac{PRT}{100}[/tex]
P is the amount borrowed , R is the interest and T the time in years
Here I = 2000 , R = 5 and T = 1 with P to be found , then
2000 = [tex]\frac{P(5)(1)}{100}[/tex] ( multiply both sides by 100 )
5P = 200000 ( divide both sides by 5 )
P = 40000
Answer:
The sum (Principal) is Rs.4000.
Step-by-step explanation:
Given :
Simple interest = Rs.2000Time = 5% per annum Time = 1 yearTo Find :
PrincipleUsing Formula :
[tex]\star\small{\underline{ \boxed{\sf{\red{S.I = \dfrac{P \times R \times T}{100}}}}}}[/tex]
S.I = Simple Interest P = Principle R = Rate T = TimeSolution :
Substituting all the given values in the formula to find the Simple Interest :
[tex]{\dashrightarrow{\small{\sf{S.I = \dfrac{P \times R \times T}{100}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{P \times 5 \times 1}{100}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{P \times 5}{100}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{5P}{100}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{P = 2000 \times \dfrac{100}{5}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{P = 2000 \times \cancel{\dfrac{100}{5}}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{P = 2000 \times 20}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{P =Rs.40000}}}}[/tex]
[tex]\star\small{\underline{ \boxed{\sf{\red{P = Rs.40000}}}}}[/tex]
Hence, the sum Bharat borrowed is Rs.40000.
[tex] \rule{190}1[/tex]
im having a mental breakdown can someone please just do this for me
Answer:
it only changes the magnitude.
for any general a let f(x) be =a|x| , a>0
so for any x say ±3 your function will throw out a×3.
The equation y=1/8xrelates proportional quantities x and y. What is the value of x when y is 6?
Answer:
48
Step-by-step explanation:
6 = 1/8x
x = 48
1
A line has a slope of -2 and a y-intercept of -2.
What is the x-intercept of the line?
A -4
B -1
C 1
D 4
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 and c = - 2 , then
y = - 2x - 2 ← is the equation of the line
To find the x- intercept let y = 0 in the equation and solve for x , that is
- 2x - 2 = 0 ( add 2 to both sides )
- 2x = 2 ( divide both sides by - 2 )
x = - 1
The x- intercept is - 1 → B
Please help
The question is in the picture
Answer:
A
Step-by-step explanation:
90/2 = 45
45/2 = 22.5
please help again forgot everything
Answer:
a
Step-by-step explanation:
to find a proportion they must equal each other
8/4 in its simplest form is just 2
to make r/3 = 2 r must be 6
6/3 is 2
Help me solve these
Answer:
hello you need to tell me the equation not the worksheet
Step-by-step explanation:
Which of the following is a reason to establish a good credit history?
4/7 + 21/30 x ((21 x 4) + (23 x 8)) = n
need in simplest form
if a = 3y + 4z and b = z - 2y, then what is the value of a + b?
Answer:
y + 5z
Step-by-step explanation:
Hope this helps!
need helpppppp plz .
Answer:
A) x=10
Step-by-step explanation:
All the angles in a triangle will add to equal 180°.
Knowing this, we can set up an equation.
(8x+5) + (5x-1) + (4x+6)= 180°
In order to solve, we must first combine like terms. (These can be found on the left side of the equation).
8x+5x+4x= 17x
5+ (-1) + 6= 10
We can now rewrite our equation as follows:
17x+10=180°
Subtract 10 from both sides.
17x+10=180°
- 10 -10
17x=170°
Divide by 17 on both sides.
17x=170°
---- -----
17 17
x= 10°
The answer is x=10°.
Which graph represents a function???
Answer:
C
Step-by-step explanation:
C is the only graph that passes the vertical line test.
Answer:
c
Step-by-step explanation:
The line doesn't cross eachother
point:(-5,1); slope: -
4
write in point-slope form:
Answer:
y-1=-4(x+5)
Step-by-step explanation:
y-y1=m(x-x1)
y-1=-4(x-(-5))
y-1=-4(x+5)
Answer: y - 1 = -4(x + 5)
Step-by-step explanation:
The point-slope formula is y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]) where m is the slope and ( [tex]x_1[/tex], [tex]y_1[/tex]) is a point on the graph.
Using the formula, we will plug in our known values to write our equation.
y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex])
y - (1) = (-4)(x - (-5))
y - 1 = -4(x + 5)
However, in the picture the slope is [tex]\frac{1}{4}[/tex], so we would write it as;
y - 1 = [tex]\frac{1}{4}[/tex](x + 5)
graph 56x- 19= -8y + 5
Answer/Step-by-step explanation:
Solve
Before we begin graphing, we have to solve the equation. You cannot just graph the equation as it is now. Let us simplify it:
[tex]56x-19=-8y+5[/tex]
[tex]56x-19+19=-8y+5+19[/tex] [tex]\mathrm{Add\:}19\mathrm{\:to\:both\:sides}[/tex]
[tex]56x=-8y+24[/tex]
[tex]\frac{56x}{56}=-\frac{8y}{56}+\frac{24}{56}[/tex] [tex]\mathrm{Divide\:both\:sides\:by\:}56[/tex]
[tex]\frac{56x}{56}=-\frac{8y}{56}+\frac{24}{56}[/tex][tex]\frac{56x}{56} = x\: (\mathrm{or}\: 1)[/tex][tex]-\frac{8y}{56}+\frac{24}{56}[/tex][tex]\frac{-8y+24}{56}[/tex][tex]\mathrm{Factor\:-8y+24}\\\mathrm{Rewrite\:as}\\=-8y+8\cdot \:3\\\mathrm{Factor\:out\:the\:common\:term\:8}\\=8\left(-y+3\right)\\\\=\frac{8\left(-y+3\right)}{56}\\\mathrm{Cancel\:the\:common\:factor:}\:8\\=\frac{-y+3}{7}[/tex][tex]\bold{x=\frac{-y+3}{7}}[/tex]
Graph
Now, we can graph. Graph the line using the slope and y-intercept, or two points.
[tex]\mathrm{Slope}: -7\\y-\mathrm{intercept}: (0,3)[/tex]
[tex]x\\0\\1[/tex] [tex]y\\3\\-4[/tex]
Solve by whatever method you would prefer. (Leave answers as improper fractions) 3x+2y=-10 2x-5y=3 (Show your work (Brainliest)
Answer:
y = -29/19 and x = -44/19
Step-by-step explanation:
3x + 2y = -10 multiply by -2 ⇔ -6x - 4y = 20
2x - 5y = 3 multiply by 3 ⇔ 6x - 15y = 9
Add the two equation -19y = 29
y = -29/19
Use equation one and solve for x
3x + 2(-29/19) = -10
3x - 58/19 = -10
3x = -10 + 58/19
3x = -190/19 + 58/19
3x = (-190 + 58)/19
3x = -132/19
x = - 132/ 19 ÷3 [tex]\frac{-132}{19} (\frac{1}{3} ) = \frac{-44}{19}[/tex]
x = -44/19
ABC and XYZ are similar triangles with right angles at B and Y. AC=13 cm,
BC=5 cm. Find AB and XZ. (No links pls...)
Answer:
See belowStep-by-step explanation:
Since B is the right angle, AC is the opposite side - hypotenuse.
Use Pythagorean and find the missing side, AB:
[tex]AB = \sqrt{AC^2-BC^2} = \sqrt{13^2-5^2} =\sqrt{144} =12cm[/tex]There is no info given to link the triangles ABC and XYZ and hence can't provide solution to any dimension of XYZ.
If the scale factor was given as k, then XZ would be:
XZ = k*BC = 5khow old are you android phone is not
Answer:
I am 14 years old
Step-by-step explanation:
PLSSSS HELPPPP ASAPPPP. REWARDING BRAINLIEST. PLS SHOW WORK
3. What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and show your work.
Answer: B = 90°; C = 60°
Step-by-step explanation:
B is obviously 90° because of the right angle quadrant.
Since it is a right triangle and A is already 30°, just subtract 30 from 90.
90 - 30 = 60
Thus, C is 60°.
Correct me if I am incorrect.
What is the value of i 20+1?
1
–1
–i
i
Answer:
2
Step-by-step explanation:
i^2 = -1
i^4 = 1
i^20 repeats the cycle 5 times, making i^20 = 1
Answer:
the answer is D) i
Step-by-step explanation: i got it wrong to the bozo who said 1 and it says the answer is i
I want help its urgent!!!
(iv), (v), (vi) Questions
Solution:
iv) Given equation: [tex]x^{2} - y^{2} - 4x - 2y + 3[/tex]
Since we are given two variables, we need to split the original expression into two quadratic expressions as
[tex]x^{2} - 4x + 4 - y^{2} - 2y - 1[/tex]
Factoring x first:
[tex]x^{2} - 4x + 4 =[/tex] [tex]x^{2} - 2x - 2x + 4[/tex]
= [tex]x (x - 2) - 2 (x-2)[/tex]
= [tex](x-2)(x-2)[/tex]
[tex]= (x-2)^{2}[/tex]
Factoring y now:
[tex]-y^{2} - 2y - 1 = -1(y^{2} + 2y + 1)[/tex]
= [tex]-1(y^{2} + y + y + 1)[/tex]
= [tex]-1[ y(y+1) + 1(y+1)][/tex]
= [tex]-1 [(y+1)(y+1)][/tex]
= [tex](y+1)(-y-1)[/tex]
Therefore, the original expression becomes
[tex](x-2)^{2}+(y+1)(-y-1)\\or \\(x-2)(x-2) + (y+1)(-y-1)[/tex]
which value of the variable m satisfies the equation 20 = -2(4m - 5)
Answer:
m = - 1.25
Step-by-step explanation:
20 = - 2(4m - 5) ← divide both sides by - 2
- 10 = 4m - 5 ( add 5 to both sides )
- 5 = 4m ( divide both sides by 4 )
- [tex]\frac{5}{4}[/tex] = m , that is
m = - 1.25
What is a good estimate for 380% of 20
Answer:
380 divided by 20 is your answer
Step-by-step explanation:
Answer:
The answer is 76. The estimation would be 80.
Step-by-step explanation:
identify the transformation performed on the figure below
A) Translation
hope this helps!
Answer:
translation
Step-by-step explanation:
this is a translation because every point of the shape remain in the same position as it is moved.
36 ÷ ____ = 9 15 points
Answer:
36 ÷ __4__ = 9
Step-by-step explanation:
36/9 = 4, so
36 ÷ __4__ = 9
what is xt8=-3 plz help
Molly has biweekly gross earnings of $839. 52. By claiming 1 more withholding allowance, Molly would have $16 more in her take home pay. How many withholding allowances does Molly currently claim? a. 1 b. 2 c. 3 d. 4.
Molly currently claims 2 withholding allowances which can be determined by using rules of allowance.
Given that,Molly has biweekly gross earnings of $839. 52.
By claiming 1 more withholding allowance,
Molly would have $16 more in her take-home pay.
We have to determine,How many withholding allowances does Molly currently claim?
According to the question,Molly has biweekly gross earnings of $839. 52.
By claiming 1 more withholding allowance,
Molly would have $16 more in her take-home pay.
The withholding allowance is used by a person to pay less amount of tax on his or her income to the government.
Molly has biweekly gross earnings of $839. 52.
By claiming 1 more withholding allowance,
Molly would have $16 more in her take-home pay.
Therefore,
It is given that Molly has taken 1 more withholding allowance to pay tax less by the amount of $16.
So he must have possessed at least 1 allowance previously and added 1 more.
So, the minimum number of allowance possessed by Molly = 2
Hence, Molly currently claims 2 withholding allowances.
For more details about Income Tax refer to the link given below.
https://brainly.com/question/1708567
7/8 in lowest terms ?
Answer:
7/8 simplified to lowest terms is 7/8.
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 7 and 8 is 1
Divide both the numerator and denominator by the GCD
7 ÷ 1
8 ÷ 1
Reduced fraction:
7
8
Therefore, 7/8 simplified to lowest terms is 7/8.
The scatter plot shows the number of minutes since several celebrities have posted a photo compared to the number of likes the photo has received. If a celebrity posted a photo 6.5 minutes ago, which is the best prediction of the number of likes it has received?
Answer:
is there a photo of a scatter plot?
Step-by-step explanation: