The equations representing the lines, y=x+5 and 2y-2x=10, have the same slope, therefore the lines are parallel.
Recall:
Two lines that are parallel will have the same slope value.Two lines that are perpendicular to each other will have slopes that are negative reciprocal of each other.Equation representing a line in slope-intercept form is: y = mx + b, where m is the slope.Given:
y = x + 5
2y - 2x = 10
The slope of y = x + 5 is 1.
Rewrite 2y - 2x = 10 in slope-intercept form to determine its slope.
2y - 2x = 10
2y = 2x + 10
Divide both sides by 2y = x + 5
Thus, the slope of y = x + 5 (2y - 2x = 10) is also 1.
The equations representing the lines, y=x+5 and 2y-2x=10, have the same slope, therefore the lines are parallel.
Learn more about slope of parallel lines on:
https://brainly.com/question/10790818
How many solutions does this equation have?
–2b − 9 = –b
Answer:
b= -3
b=3/2=1.500
Step-by-step explanation:
step 1 . b • (2b + 3) - 9 = 0
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is 3 .
-18 + 1 = -17
-9 + 2 = -7
-6 + 3 = -3
-3 + 6 = 3
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 6
2b2 - 3b + 6b - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
b • (2b-3)
Add up the last 2 terms, pulling out common factors :
3 • (2b-3)
Step-5 : Add up the four terms of step 4 :
(b+3) • (2b-3)
One oval weighs how much
Answer:
5.5
Step-by-step explanation:
11 divided by 2 is 5.5
Find the value of 3a^2+2b, If a=3 and b = 4.
An explanation would be great.
Answer:
=35
Step-by-step explanation:
3(3) ^2 + 2(4)
= 3(9) + 8
= 35
Where you see a, substitute with 3 and where you see b, substitute with 4
Just follow the steps above.
[tex]\\ \sf\Rrightarrow 3a^2+2b[/tex]
[tex]\\ \sf\Rrightarrow 3(3)^2+2(4)[/tex]
[tex]\\ \sf\Rrightarrow 3(9)+8[/tex]
[tex]\\ \sf\Rrightarrow 27+8[/tex]
[tex]\\ \sf\Rrightarrow 35[/tex]
Which pairs of figures are congruent? Which pairs are similar?
Answer: Look at the explanation
Step-by-step explanation: To understand what figures are congruent and what figures are similar, you need to understand what the terms mean.
Congruent figures have the same shape and size.
Similar figures have the same shape but different size.
The 1st figure is not congruent but it is similar.
2nd figure is congruent and similar which are rectangles. Wheather the figure is rotated or reflected, it is still congruent and similar.
3rd figure is both, congruent and similar which are both triangles.
4th figure is neither. There is a circle and an elipse, which are both round but different shapes.
By knowing the terms congruent and similar, you should have no problem in identifying geometric shapes and sizes.
Hope this helps. Happy learning!
Solve the inequality: 4(2x-11) is less than equal to -12 + 2(x-4) No "files" please and also need an explanation
[tex]4(2x-11) \leq -12 +2(x-4)\\\\\implies 8x - 44 \leq -12 + 2x -8\\\\\implies 8x -44 \leq 2x -20\\\\\implies 4x - 22 \leq x - 10~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 2}]\\\\\implies 4x -22 +22 \leq x -10 +22~~~~~~;[\text{Adding 22 to both sides}]\\\\\implies 4x \leq x+12\\\\\implies 4x -x \leq x+12-x~~~~~~~~~~~~~~~~;[\text{Subtracting x from both sides}]\\\\\implies 3x \leq 12\\\\\implies x \leq 4 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 3}][/tex]
[tex]\text{Interval solution,} ~(-\infty, 4][/tex]
Luke cut down a tree that was 27.6 feet tall. Then he cut the tree into 6 equal pieces to take it away. What is the length of each piece?
Answer:
4.6 feet (explanation of division)
Answer:
The length of each piece is 4.6 feet
Step-by-step explanation:
H.C.F of 378 and 567 and 252
Answer:
Their highest common factor is the number 9
work out m and c for the line: 5x-3y+4=0
Answer:
[tex]m = \frac{5}{3}[/tex]
[tex]b = \frac{4}{3}[/tex]
Step-by-step explanation:
The question requires you to rearrange the equation into the form:
y = mx + c
Which is the straight line equation, meaning rearrange for y:
Add 3y to both sides of the equation:
5x - 3y + 4 = 0
5x - 3y + 4 + 3y = 0 + 3y
5x + 4 = 3y
Divide both sides of the equation to isolate y:
[tex]\frac{5x}{3} + \frac{4}{3} = \frac{3y}{3}[/tex]
[tex]y = \frac{5}{3}x + \frac{4}{3}[/tex]
This means that [tex]m = \frac{5}{3}[/tex] and [tex]b = \frac{4}{3}[/tex].
Hope this helps!
Answer:
m = 5/3 and c = 4/3.
Step-by-step explanation:
5x - 3y + 4 = 0
-3y = -5x - 4
y = (-5/-3)x - 4/-3
y = 5/3 x + 4/3
y = mx + c
So m = 5/3 and c = 4/3
3a + 5b - 4a + 2b = *
7a
23ab
a + b
-a + 7b
Answer:
-a + 7b
Step-by-step explanation:
This problem is asking you to simplify the equation.
In order to do this, we will combine like terms (like terms are terms that share the same variable and/or exponent).
So we will combine 3a and -4a to get -1a or just -a, and now we'll combine 5b and 2b to get 7b.
So all together we have -a + 7b.
Hope this helps you :)
[tex]\\ \sf\Rrightarrow 3a+5b-4a+2b[/tex]
[tex]\\ \sf\Rrightarrow 3a-4a+5b+2b[/tex]
[tex]\\ \sf\Rrightarrow (3-4)a+(5+2)b[/tex]
[tex]\\ \sf\Rrightarrow -a+7b[/tex]
[tex]\\ \sf\Rrightarrow 7b-a[/tex]
find the zeros of the function f(x) = (x+3)^2-4=0
Answer:
[tex]x=-1[/tex] and [tex]x=-5[/tex]
Step-by-step explanation:
[tex]f(x)=(x+3)^2-4[/tex]
[tex]0=(x+3)^2-4[/tex]
[tex]0=(x^2+6x+9)-4[/tex]
[tex]0=x^2+6x+5[/tex]
[tex]0=(x+1)(x+5)[/tex]
[tex]x=-1[/tex] and [tex]x=-5[/tex]
Answer:
[tex]x=-1,\:x=-5[/tex]
Step-by-step explanation:
Solve the equation:
[tex]f(x)=\left(x+3\right)^2-4=0[/tex]
[tex]\left(x+3\right)^2-4=0[/tex]
[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]
[tex]\left(x+3\right)^2-4+4=0+4[/tex]
[tex]\left(x+3\right)^2=4[/tex]
[tex]x+3=\sqrt{4}:x=-1[/tex]
[tex]x+3=\sqrt{2^2}[/tex]
[tex]x+3=2[/tex]
[tex]x+3-3=2-3[/tex]
[tex]x=-1[/tex]
[tex]x+3=-\sqrt{4}:x=-5[/tex]
[tex]x+3=-\sqrt{4}[/tex]
[tex]x+3=-2[/tex]
[tex]x+3-3=-2-3[/tex]
[tex]x=-5[/tex]
Now, look at the points plotted on the graph:
Yao bought 3 feet of blue ribbon and
24 inches of red ribbon. The ribbon costs
$2.00 per foot. What is the total cost of
the ribbon?
Answer:
It would've costed $8 to buy these ribbons.
Step-by-step explanation:
Given:
3 feet of blue ribbon = 36 inches of blue ribbons2 feet of red ribbon = 24 inches of red ribbons\1 foot of ribbon = $2(3 + 2) x 2 = Total cost
=> (5) x 2
= $10
Therefore, it would've costed $10 to buy these ribbons.
Hoped this helped.
In a certain poultry farm,on average every 8 chickens lay 144 eggs per week.In five weeks the chickens laid 2880 eggs.How many chickens are in the farm? A.18. B.32. C.160. D576
Answer:
C
Step-by-step explanation:
Identify this sequence: 5, 15, 45, 135, …
Geometric
Arithmetic
Neither
Plz actually answer cuz i need the answer for that grade upgrade
Answer:
The answer is I think the opened circled -> but I'm not 100% sure
Step-by-step explanation:
Which of the following choice completes the diagram?
A. Credit card companies
B. Issuer banks
C. Banks
D. All of the choices
Answer:
D. All if the choices , credit cars , banks and issuer banks
At a salad bar, the cost per ounce is
$
0.85
, and the container costs
$
0.25
. Which function represents the total cost of a salad weighing
w
ounces, and what is the total cost,
C
, of a salad weighing
8
ounces?
Answer:
0.85 × 9.412=8.0002 nearest so 0.25 × 9.421= 2.35525
Step-by-step explanation:
1)
If X= ( 8° - 7n - 1 : n € N )
And
Y = ( 49 ( n - 1 ) : n € N ) then ??
Notes :-
•Don't spam
•Need Genuine Answer
•Don't give copied answer from web .
Answer:
[tex]to \: know \: the \: answer \: [/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
Hope this helps you XD ✌️Carry on learning !!what is the answer to Lora read 1/8 of a comic book in 2 days she read the same number of pages everyday what part of the book does she read in a week? and how to show the work
Answer:
7/16 of book
Step-by-step explanation:
1/8 book in 2 days means Lora reads 1/16 book every day
In 1 week (7 days), Lora reads 7 x 1/16 = 7/16
how many cubes each of 2 cm length can be kept inside of a cube of 6 CM length
Answer:
Hence 27 cubes can be obtained.
Step-by-step explanation:
Volume occupied by one cube of side 2cm = 2*2*2 = 8cm^3
Volume of cube of side 6cm = 216cm^3
Number of cubes of side 2cm which would fit in a cube of side 6cm = 216/8 = 27 cubes
HELP!!!!!!!!!!!!!!!!!!!!
Answer:
y = -1/2x+4
Step-by-step explanation:
y = 2x-1
This equation is in slope intercept form y = mx+b where m is the slope
m=2
A line perpendicular will have a slope that is the negative reciprocal
m = -1/2
Using the slope intercept form
y = mx+b
y = -1/2x+b
and the point given (2,3)
3 = -1/2(2)+b
3 = -1+b
4 =b
y = -1/2x+4 is the equation of a line that is perpendicular to the original line and contains (2,3)
(-8, -7); y = - 3x + 2
write an equation for The Line in slope Intercept form
Answer:
y=-3x^2+2x+201
Step-by-step explanation:
The function f(x) is graphed below. Determine whether the degree of the function is
even or odd and whether the function itself is even or odd.
Answer:
even
Step-by-step explanation:
the picture i need help with this answer. the problem is in the picture
Answer:
Step-by-step explanation:
Rachel baked a pie with an area of 94.985 square inches. She gave away a slice of pie with an area of 13.56 square inches. Find the central angle measure of the slice. Numerical answer round to the nearest degree.
It is 103.68 degrees :)
What is the surface area? 10 mm
7 mm
4 mm
Answer:
Perhaps 270 mm^2, if it is a box.
Step-by-step explanation:
What shape is this? A box?
If a box:
There are 6 faces:
1. 2 ends: 7mm x 4mm = 28 mm^2/end
2. 2 sides: 10mm x 7mm = 70 mm^2/side
3. top and bottom: 10mm x 4 mm = 40 mm^2/each
====
Totals:
1. 56 mm^2
2. 140 mm^2
3. 80 mm^2
Total 270 mm^2
pls pls pls help!! will mark brainliest
I need the answers and explanation to a b c and d
Answer:
B I THINK
Step-by-step explanation:
The tickets for a dozen children to enter the amusement park cost $330. What was the price per ticket?
Answer:
27.5
Step-by-step explanation:
Write the equation through (2,5) parallel to the line through (8,0) and (0,8)
Answer:
y = -x + 7
Step-by-step explanation:
As we move from (8, 0) to (0, 8), we see x decreasing by 8 ('rise') and y increasing by 8 ('run'). Thus, the slope of this line is m = rise/run = 8/(-8) = -1.
Starting from y = mx + b and substituting 8 for x, 0 for y and -1 for m, we get:
0 = -1(8) + b, or b = 8
Then the equation of the line through the two given points is y = -x + 8. Any line parallel to this one has the same slope: m = -1.
Repeat the above work to find the y-intercept of the line parallel to y = -x + 8 that goes through (2, 5):
5 = -2 + b, or b = 7
Then the desired line (final answer) is y = -x + 7
What is 3/7 + 4/18 estimated
Answer:
41/63
Step-by-step explanation:
41/63 can't be simplified
Answer:
3/7+4/18=41/63
Step-by-step explanation:
3/7=3x18/7x18=53/126
4/18=4x7/18x7=28/126
54/126+28)126=54+28/126=82/126
82/126
simplify
41/63