Find the equation of the line parallel to y = 2/3x-7
passing through A(6,-1).
Answer:
y = 2/3x - 5
Step-by-step explanation:
If two lines are parallel, they have the same slope. This means the line we are looking for has a slope of 2/3. Since we are also given a point, we can start by writing the equation in point-slope form which is represented by
[tex]y-y_{1} =m(x-x_{1} )[/tex]
Where m is the slope and (x1, y1) is a point. We have both, so we can substitute the values and simplify:
y + 1 = 2/3 (x - 6)
y + 1 = 2/3x - 4
y = 2/3x - 5
which of the following statement is true?
FInd WY Given: Giving brainly.
Answers:
x = 2WY = 28===========================================================
Explanation:
The tickmarks show that WZ and XY are the same length. The arrows show that WX is parallel to ZY. This is an isosceles trapezoid.
For any isosceles trapezoid like this, the diagonals are the same length. We can prove it using the SAS congruence theorem.
So,
WY = XZ
15x-2 = 9x+10
15x-9x = 10+2
6x = 12
x = 12/6
x = 2 .... first answer
Use that value of x to find the length of each diagonal.
WY = 15*x - 2 = 15*2-2 = 30-2 = 28 .... second answerXZ = 9x+10 = 9*2+10 = 18+10 = 28Both diagonals are 28 units long, which helps confirm we have the right x value.
I will mark you brainliest if you solve this
show your working as well
4) (4x2– x – 7) + (2x3+ 6x2– 11)
5)(2x3– x + 4) + (5x2– 6x – 5)
6)(3x2+ 2x + 1) – (x2– 3x + 4)
7)(2x2– 3x + 7) – (5x2+ 3x + 6)
Answer:
4) 2x3 + 10x2−x−18
5) 2x3+5x2−7x−1
6) 2x2+5x−3
7) −3x2−6x+1
Step-by-step explanation:
4) (4x2 - x - 7) + (2x3+ 6x2– 11)
Combine Like Terms:
=4x2+−x+−7+2x3+6x2+−11
=(2x3)+(4x2+6x2)+(−x)+(−7+−11)
=2x3+10x2+−x+−18
5) (2x3– x + 4) + (5x2– 6x – 5)
Combine Like Terms:
=2x3+−x+4+5x2+−6x+−5
=(2x3)+(5x2)+(−x+−6x)+(4+−5)
=2x3+5x2+−7x+−1
6) (3x2+ 2x + 1) – (x2– 3x + 4)
Distribute the Negative Sign:
=3x2+2x+1+−1(x2−3x+4)
=3x2+2x+1+−1x2+−1(−3x)+(−1)(4)
=3x2+2x+1+−x2+3x+−4
Combine Like Terms:
=3x2+2x+1+−x2+3x+−4
=(3x2+−x2)+(2x+3x)+(1+−4)
=2x2+5x+−3
7)(2x2– 3x + 7) – (5x2+ 3x + 6)
Combine Like Terms:
= (2x2 −5x2 )+(−3x−3x)+(7−6)
What is 2y+5 = 3y+2 ?
2y + 5 = 3y + 2
=> 5 - 2 = 3y - 2y
= 3 = y
Answer:
y = 3
Step-by-step explanation:
2y + 5 = 3y + 2
2y - 3y + 5 = 3y - 3 y + 2 [ subtract both sides by 3y ]
- y + 5 = 0 + 2 [ 3y - 3y = 0 ]
- y + 5 - 5 = 2 - 5 [ subtract by 5 on both sides ]
- y + 0 = - 3 [ -5 + 5 = 0 ]
- y = - 3
y = 3 [ divide by - 1 on both sides ]
Solve for O pls and thank you
Answer:
a) 67.4°
Step-by-step explanation:
since this is a right triangle you can use the sine trigonometric ratio of opposite/hypotenuse
sin⁻¹(Ф) = 12/13 which equals 67.4°
Does anybody know it part 2
Answer:
x = 33
Step-by-step explanation:
(x + 13) + (4x + 2) = 180
x + 13 + 4x + 2 = 180
5x + 15 = 180
5x = 180 - 15
5x = 165
x = 165/5
x = 33
Check:
(x + 13) + (4x + 2) = 180
(33 + 13) + 4(33) + 2 = 180
46 + 132 + 2 = 180
46 + 134 = 180
Why was Elmo's Report Card All Wet?
Answer:
why was it ♂️
All of his grades were down below c level
hehe
=)
The manager of a home store is buying lawn
chairs to sell at his store. Each pack of chairs
contains 10 chairs. The manager will sell each
chair at a markup of 20% of the wholesale
cost, plus a $2.50 stocking fee.
Answer:
5$
Step-by-step explanation:
PLEASE HELP I'M SORRY FOR A LOT OF QUESTIONS but I need help
Answer:
Hello! answer: 268 square meters
Step-by-step explanation:
To find the total surface area you find the area of each face then add them up so...
10 × 3 = 30
10 × 3 = 30
8 × 3 = 24
8 × 3 = 24
10 × 8 = 80
10 × 8 = 80
Now that I found the area for each face I will just add them up so...
30 + 30 + 24 + 24 + 80 + 80 = 268 therefore the area is 268 square meters Hope that helps!
[tex] \large\mathrm {\boxed{ \boxed{268 \: \: m {}^{2} }}}[/tex]
Solution :The above pieces will form a cuboid, having dimensions :
[tex] \mathrm{\longrightarrow length = 10 \: m}[/tex]
[tex] \mathrm{\longrightarrow width = 8 \: m}[/tex]
[tex] \mathrm{\longrightarrow height = 3 \: m}[/tex]
We know that Surface area of Cuboid is :
[tex] \large \longmapsto \mathrm{{2(lw + wh + lh)}}[/tex]
Let's solve,
[tex]\longrightarrow2[(10 \times 8) + (8 \times 3) + (10 \times 3)][/tex]
[tex]\longrightarrow2[80 + 24 + 30][/tex]
[tex]\longrightarrow2 \times 134[/tex]
[tex]\longrightarrow268 \: m {}^{2} [/tex]
[tex] \circ { \underline{ \boxed{ \sf{ \color{green}{ \mathfrak{hope \: \: it \: \: helps \: \: you.....}}}}}}∘[/tex]
One integer is 10 more than another, Their sum is 4. What are the 2 integers? PLEASE HELP!
Answer:
The two integers are : -3 , 7
Step-by-step explanation:
Let the integers be x and y
Given one of the integer is 10 more than the other, Let x = y + 10 -----(1)
Also Given sum of integers . x + y = 4 ----------- (2)
Substitute ( 1 ) in (2)
x + y = 4
(y + 10) + y = 4
y + 10 + y = 4
2y + 10 = 4
2y = 4 - 10
2y = -6
y = -3
Substitute y = -3 in ( 1 ) : x = - 3 + 10 = 7
Answer this for me thanks
Answer:
The value of x is 15 inch.
Step-by-step explanation:
Area, A = 81 square inch
Perimeter, P = 48 inch
let the side is y.
[tex]y^2 = 81\\\\y = 9 inch[/tex]
Let the other side is d.
P = 4 d = 48
d = 12 inch
the length x is given by
[tex]x^2 = 9^2 + 12^2\\\\x^2 =81 + 144 = 225\\\\x = 15 inch[/tex]
So, x = 15 inch.
Need help with this question
Helpppp does anyone know
======================================================
Explanation:
We can apply the remote interior angle theorem. Some math books or teachers may refer to this as the "exterior angle theorem". They're the same idea just with different names.
According to that theorem, the interior angles x and 53 add up to the exterior angle 158
x+53 = 158
x = 158-53
x = 105
This theorem only works if neither interior angle is adjacent to the exterior angle. Hence the "remote" part.
----------
If you wanted a slightly longer approach, then let y be the missing angle that isn't marked in the diagram. Angle y is adjacent to the 158 degree angle.
We can find y by noting how 158 and y are supplementary
158+y = 180
y = 180-158
y = 22
Then we use the fact that adding three angles of any triangle always gets us 180 degrees
x+y+53 = 180
x+22+53 = 180
x+75 = 180
x = 180-75
x = 105
Effectively, this example helps reinforce why the remote interior angle theorem is true.
Franklin races bikes. In his city, there are 44 lengths of race tracks. The chart shows the race tracks and each track's length in miles. Race Track Length in Miles A \frac{1}{4} 4 1 B \frac{3}{2} 2 3 C 1\frac{3}{4}1 4 3 D \frac{4}{4} 4 4 Frankin races 33 laps in the same lane. The total distance he races is more than 4\frac{1}{2}4 2 1 miles. Which track does Franklin race on?
Answer:
51
Step-by-step explanation:
51 is elaginlent to 44 and 33 12 garde things
Help
Will
Give BRIANLIST
Answer:
area of the figure=length×width
=6(X+6)
=6x+36 sq feet
answer is the second option
Answer:
B is the answer. This gives us the equation 6(x+6), where we multiply 6 by both values inside the equation. 6x + 36 is the answer. Happy learning!
Happy learning!
--Applepi101
which function is nonlinear
Answer:
C, y=2x(x-4)
Step-by-step explanation:
All the other equations can be graphed as lines, but C is the only one that is a parabola (a curve).
Plz answer this question
Answer:
3,16,729
Step-by-step explanation:
Keelie has a triangular-shaped card. The lengths of its sides are 4.4 cm, 5.5 cm, and 6.6 cm. Is the card a right triangle?
Answer:
No
Step-by-step explanation:
We can use the Pytaghorean theorem to verify it
4.4^2 + 5.5^2 = 6.6^2
19.36 + 30.25 = 43.56
49.61 = 43.56 (false)
A company that makes hair-care products had 7,000 people try a new shampoo. Of the 7,000 people, 28 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer: 0.4%
Step-by-step explanation:
First, a porportion needs to be set up.
part/whole = percent/100
28/7,000 = x/100
Second, cross multiply.
2800=7,000x
x=0.4
Please help me, Please
Answer:
7th graders in the school
Step-by-step explanation:
if she wants to know what 7th graders like, ask 7th graders since no one els would know as good as 7th graders themselves
Answer:
A.7th graders in the school
Step-by-step explanation:
Because she specifically wants to find the favorite activity of 7th grade students she should sample only 7th grade students to get the best and most accurate results.
1. Explain how to find the area of a complex figure. Draw an example to help illustrate
your understanding. Please help!
Answer:
Refer to the attached file
Hope it helps..
islah sold a shirt at sh 2000 making a loss of 9%, how much did islah paid for the shirt ?
Answer:
2,197.8
Step-by-step explanation:
The population P (in thousands) of a certain city from 2000 through 2014 can be modeled by P = 160.4ekt, where t represents the year, with t = 0 corresponding to 2000. In 2007, the population of the city was about 162,075. Find the k value
Answer:
The k value is [tex]k = 0.0015[/tex]
Step-by-step explanation:
Population:
The population P(in thousands), of the city, in t years after 2000, is given by the following equation:
[tex]P(t) = 160.4e^{kt}[/tex]
In 2007, the population of the city was about 162,075.
This means that [tex]P(7) = 162.075[/tex], that is, when [tex]t = 7, P(t) = 162.075[/tex]
Find the k value
[tex]P(t) = 160.4e^{kt}[/tex]
[tex]162.075 = 160.4e^{7k}[/tex]
[tex]e^{7k} = \frac{162.075}{160.4}[/tex]
[tex]\ln{e^{7k}} = \ln{\frac{162.075}{160.4}}[/tex]
[tex]7k = \ln{\frac{162.075}{160.4}}[/tex]
[tex]k = \frac{\ln{\frac{162.075}{160.4}}}{7}[/tex]
[tex]k = 0.0015[/tex]
The k value is [tex]k = 0.0015[/tex]
Which is the x-intercept of f(x) = log6(2x) – 1?
Answer:
Hope this helps!
Please mark brainliest!
x-intercept(s):
(1/log(36),0)
y-intercept(s):
(0,−1)
Figure VWYX is a kite.
3
(18x-2)
V
Y
(12x+2)
х
Answer:
18X-2+12X+2=360-180
30X=180
X=6
The value of the variable x is 6, in the given rhombus.
What are the properties of the rhombus?A quadrilateral having the following characteristics is called a rhombus:
The lengths of the four sides are equal.Parallel sides are situated next to one another.Angles that are opposite each other are equal (i.e., they have the same measure).The diagonals form a right angle split across one another.Each diagonal is the same length.From the properties of a rhombus,
The sum of all angles is 360°.
Thus, in the given case,
18x-2+12x+2+ 90° +90° = 360°
18x- 2 + 12x +2 = 180°
30x = 180
x = 6
Therefore, the value of the x is 6.
Learn more about Rhombus here:
https://brainly.com/question/27870968
#SPJ5
PLEASE HELP! NO SPAMMING! SHOW WORK!
The ratio of the dimensions of the model to the dimensions of the Great Pyramid is about 1 to 38. The surface area of the real pyramid is about how many times the surface area of the model.
Dimensions: a pyramid with a square base.
base sides: 6m
height: 4m
========================================================
Explanation:
Consider a square on paper that is 3 inches by 3 inches. It's area would be 3*3 = 9 square inches.
The ratio 1 to 38 means that 1 inch on paper corresponds to 38 inches in real life (assuming the "1 to 38" doesn't have any verbal units attached to it; if so, then refer to the note below). So a 3 by 3 square corresponds to a 114 by 114 square because 3*38 = 114.
The area of the second larger square is 114*114 = 12,996 square inches.
Now divide the two areas: (12,996)/(9) = 1444
It's probably not entirely obvious, but through a bit of playing around with various numbers, you should find that 38^2 = 1444. It's not a coincidence that this happens. The linear scale factor is 38 which means the area scale factor is 38^2 = 1444.
In short, the larger square in real life has area that is 1444 times that of its scaled down counterpart.
Or put another way:
large area = 1444*(small area)
------------------
Side note: This all assumes that the numbers in "1 to 38" are both the same unit. If we had a mixed ratio of units like "1 inch to 38 feet", then the answer would be different. You would need to convert from feet to inches, and then follow the steps above to get a different answer.
Find the equation of a line with slope - 5 passing through the point A(-3, 6).
Answer:
y=5x-9
Step-by-step explanation:
-5(-3)+b=6
15+b=6
B=-9
Aina builds a cube model out of manila cards. If the volume of the constructed cube is (2+3p) ³ cm³, find the total surface area of the cube in terms of p.
HELPPPP
Given:
The volume of a cube = [tex](2+3p)^3\ \text{cm}^3[/tex]
To find:
The total surface area of the cube in terms of p.
Solution:
Volume of a cube is:
[tex]V=a^3[/tex] ...(i)
Where, a is the side length.
It is given that,
[tex]V=(2+3p)^3\ \text{cm}^3[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=2+3p\text{ cm}[/tex]
Now, the total surface area of a cube is:
[tex]A=6a^2[/tex]
Where, a is the side length.
Putting [tex]a=2+3p[/tex], we get
[tex]A=6(2+3p)^2[/tex]
Therefore, the total surface area of the cube in terms of p is [tex]6(2+3p)^2\ \text{cm}^2[/tex].
Complete the table for the given rule.
Rule: y=x+3
Answer:
1
5
2
Step-by-step explanation:
4-3=1
8-3=5
5-3=2
Hope this helps! :)