Answer:
y = 2x - 5
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, then
y = 2x + c ← is the partial equation
To find c substitute (4, 3) into the partial equation
3 = 8 + c ⇒ c = 3 - 8 = - 5
y = 2x - 5 ← equation of line
The vertices of parallelogram DEFG are E(-1,4) F(5,6) and G (8,0). Find the coordinates of D
Answer:
The coordinates of D are (2,-2)
Step-by-step explanation:
The coordinates of point D are (2,-2)
The coordinates of the parallelogram are given as:
E(-1,4), F(5,6) and G (8,0)
For the coordinates to represent a parallelogram, the following must be true
[tex]x_D - x_E = x_G - x_F[/tex]
[tex]y_D - y_E = y_G - y_F[/tex]
So, the equations become
[tex]x_D -(-1) =8-5[/tex] and
[tex]y_D -4 =0-6[/tex]
Solve for x and y in the above equations
[tex]x_D -(-1) =8-5[/tex]
[tex]x_D +1 = 3[/tex]
[tex]x_D = 3-1[/tex]
[tex]x_D = 2[/tex]
[tex]y_D -4 =0-6[/tex]
[tex]y_D - 4 = -6[/tex]
[tex]y_D = 4-6[/tex]
[tex]y_D =-2[/tex]
Hence, the coordinates of point D are (2,-2)
Read more about parallelograms at:
https://brainly.com/question/11874218
Factorise these expressions
a.
[tex] {x}^{2} + 20x + 19[/tex]
b.
[tex] {z}^{2} - 2z + 1[/tex]
c.
[tex]9(x - 1) - 3x[/tex]
Answer:
a. (x+19)(x+1)
b. (z-1)(z-1)
c. 3(2x-3)
Step-by-step explanation:
a. x^2+20x+19
(x+19)(x+1)
b. z^2-2z+1
(z-1)(z-1)
c. 9(x-1)-3x
9x-9-3x
6x-9
3(2x-3)
Plssss someoneee helppp MEE withhh thissss PLEASEEEE
Answer:
I think it is 5x+2y=41
Step-by-step explanation:
Which function is best represented by this graph?
Answer:
J
Step-by-step explanation:
The y-intercept is 3, and the slope is -1/2
Answer: G
the formula is y= mx+c
y -intercept (c) is what number it passes on the y-axis which is 3
to find gradient you need to form a triangle of any choice using the line so I did 4 across and 2 down , you put that into a fraction 2/4 which is 2 and I've done it upside down so it will be -2
x-4(3-2x) =3(3x+4) is this many soultions no solutions
4. The black triangle was transformed to
make the gray triangle. Which represents
the transformation?
A (x, y) + (x + 3, y + 3)
B (x, y) → (3x, 3y)
C (x,y) → (x-2, y-2)
Helpp mee (10 points)
Researchers study the population of bass in a lake. The researchers catch, tag, and release 50 bass into the lake. During a fishing tournament the following week, competitors catch and release 525 bass, 15 of which had been previously tagged by the researchers.
What is the best estimate for the number of bass in the lake?
Answer: B.
Step-by-step explanation: 550 bass
Rosa deposits $5000 in a savings account that gets compounded interest annually at a rate of 8%. If she leaves her money in the account for 2 years, how much will she have at the end of that time?
Answer:
$5318
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
I = 2650 × 0.04 × 3 = 318
I = $ 318.00
The simple interest accumulated
on a principal of $ 2,650.00
at a rate of 4% per year
for 3 years is $ 318.00.
Must show work!
Write each percent as a fraction and as a decimal?
37%
Answer:
37% = 0.37 = 37/100
Step-by-step explanation:
hope this helps :)
The student council at Eleanor Roosevelt High School is taking a survey of student opinions on this year's homecoming theme. To decide who to survey, the council creates a master alphabetized list of names from every student in the school, then selects every 20th student from the list. Will the results of this survey be valid? Why or why not?
yes, because a random sample is taken from all of the student body
yes, because the survey will include all of the seniors
no, because the survey will include freshman
no, because the survey will not include members of the faculty
Answer:
no, because the survey will not include members of the faculty
Which of the following edges is parallel to AB?
DT
BC
QR
BR
Answer:
QR
Step-by-step explanation:
Other than all opposite pairs of sides are parallel, all other segments intersect at a point.
Answer:
QR
Step-by-step explanation:
QR is parallel to AB because it is going in the same direction as QR is, and the other answer choices are incorrect.
What is the area??? I don't understand I have tried so hard.
Answer:
should be 45.6
Step-by-step explanation:
please help 15 points
Answer:
1. Given
2. Corresponding Angles Theorem
3. ∠NPO ≅ ∠MQN (or something similar)
4. AA Similarity Theorem
Step-by-step explanation:
1. Line MQ || Line OP is the given statement.
2. ∠QNM on the left triangle corresponds to ∠PNO on the second triangle.
3. These two angles are cut by a transversal (Line MP), and thus are congruent.
4. ∠MQN and ∠NMQ are congruent to ∠NOP and ∠NPO respectively, so the triangles are similar.
(3) need help plz Asap
Answer:
brainlist plzz
Step-by-step explanation:
D....................................
The width of a rectangle is the length minus 3 units. The area of the rectangle is 40 units. What is the width, in unit, of the rectangle?
Answer: The width is 5
Step-by-step explanation:
The equation is x*(x-3)=40 solviing for x which is 8 but since width is x-3 then 8-3=5
What value of y makes this true?
25 - y = 15
a. 10
b. 8
c. 11
d. 9
Answer:
A. 10
Step-by-step explanation:
y = 10
Im the best mathmatician at my whole college so you can trust me
Plz help !!!!!!!! Already
Answer:
15 and 105
Step-by-step explanation:
well this should be simple
if a small car averages 29 miles MORE, and it averages 44, the. just take 44 - 29.. which is 15.
Well if he has to go 240 miles, and he’s drove 135, just take 240 - 135 = y
240 - 135 = 105
y = 105
1) obeserve os numeros e diga:
-15, +6, -1, 0, +54, +12, -93, -8, +23, -72, +72
a) quais os numeros inteiros negativos?
b)quais os numeros inteiros postivos?
I need help please (brainllest)
Answer:
Plant A: y=x+4
Plant B: y=1/3x+6
Answer:
Plant A: 1x + 4 = y; Plant B: 1/3x + 6 = y
Step-by-step explanation:
s=2πcx+3πc^2 solve for x
Answer:
x = (s - 3πc^2) / 2πc.
Step-by-step explanation:
s = 2πcx + 3πc^2
2πcx = s - 3πc^2
x = (s - 3πc^2) / 2πc.
A helicopter landing pad has a length of 80 ft and a width of 50 ft. A safety zone of uniform width, which is not to be entered during landing, surrounds the landing pad. The landing pad and safety zone together have a combined area of 10800 ft2, what is the uniform width (safety zone) around the landing pad?
Step-by-step explanation:
Let w be the uniform width of the safety zone.
We have combined area = 10,800ft².
=> Combined area = Length * Width
= (80 + 2w)(50 + 2w)ft².
Therefore (80 + 2w)(50 + 2w) = 10,800.
=> 4,000 + 260w + 4w² = 10,800
=> 4w² + 260w - 6,800 = 0
=> w² + 65w - 1,700 = 0
=> (w - 20)(w + 85) = 0
=> w = 20 or w = -85
(w = -85 is rejected as width must be positive)
Hence the uniform width is 20ft.
Chase needs 3 quarts of pineapple juice for the punch he is making. How many pints does he need to buy?
Answer:
6 pints
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
plzzz help me im trustin yall
Answer:
B
Step-by-step explanation:
(8x + 8)(x + 3) = [tex]8x^{2} +24x+8x+24[/tex] = [tex]8x^{2} +32x+24[/tex].
Describe the lines in the figure below identify the figure
Answer:
The lines are congruent, the figure is a parallelogram.
Answer:
The figure shown is a parallelogram.
The lines on the sides are parallel
And the line on the top and the line on the bottom are parallel
Step-by-step explanation:
HELP PLEASE PLEASE ILL GIVE BRAINLY
Answer:
the first one 24r+200=500
Michael buys some items at a grocery store.
4 boxes of cereal at $3.45 per box
1
-1 pounds of oranges at $3.98 per pound
2 gallons of fruit juice at $4.35 per gallon
solve the equation for all values of x by completing the square
[tex] {x}^{2} - 35 = - 2x[/tex]
Answer:
x=5 x= -7
Step-by-step explanation:
8x- 2 =54
helppp ? ??
what is 25.15/179.30 simplified as a fraction please help i suck at math
ill mark you brainliest
Answer:
503
------
3586
Step-by-step explanation:
that's as small as I can get it