Step-by-step explanation:
eqn of line : y = mx+ c
m = slope or gradient
c = y-intercept.
Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)
[tex]m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3[/tex]
Substitute x = 1 and y = 6 into equation,
[tex]6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9[/tex]
Therefore substituting m and c value, equation of line is
[tex]y = - 3x + 9[/tex]
Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.
Answer:
1. No
2. No
3. Yes
4. Yes
Step-by-step explanation:
Any time you multiply/divide both sides with a negative the inequality will be reversed!
Answer:
c and d
Step-by-step explanation:
If point H(-6, 2) is translated 4 units up and 3 units right, what are the
coordinates of the translated image?
Answer: H(-3 , 6)
X increase is horizontal
Y increase is vertical
2+y+y+y+y+y+3 I need multiple answers plz and thanks
Answer:
5y + 5
5(y + 1)
Step-by-step explanation:
2+y+y+y+y+y+3 = 5y + 5 = 5(y + 1)
Answer:
5(1+у)
Step-by-step explanation:
2+3+у+у+у+у+у= 5+5у=5(1+у)
Which could be the measures of the interior angles of a triangle?
A. 50°, 45°, 45°
B. 60°, 60°, 60°
C. 70°, 70°, 70°
D. 80°, 55°, 25°
Answer:
B. 60°, 60°, 60°
Step-by-step explanation:
All triangle angles add up to 180
A) NOPE
50 + 45 + 45 = 140
B) YUP
60 + 60 + 60 = 180
C) NOPE
70 + 70 + 70 = 210
D) NOPE
80 + 55 + 25 = 160
the plane of a room is shown in the picture. the scale is 2 inches: 6 feet. what is the actual length of the room?
what is the actual width of the room? what is the actual area of the room?
Since 2 inches = 6 ft and length of room in the place = 7 inches,
(2x3.5) inches = 6x3.5 ft
7 inches = 21ft
Actual Length of Room = 21 ft.
Width of Room in plane = 3 inches
(2x1.5) inches = 6 x 1.5 ft
= 9 ft
Actual Length of Rook = 9 ft.
Actual Area of Room = Actual Length of Room x Actual Width of Room = 21 x 9 = 189 ft^2
Shannon wants to buy some muffins and a greeting card for her friend's party. A local grocery store sells muffins for $2.75 each and greeting cards for $2.00.
If Shannon buys 12 muffins and 1 card, how much money does she spend at the grocery store?
A. $57.00
В. $33.00
C. $35.00
D. $26.75
Answer:
$35
Step-by-step explanation:
jus trust
A cube has an edge length of 10 centimeters. What is its volume, in cubic centimeters?
Answer:
1000
Step-by-step explanation:
10 x 10 x 10 = 1000
Answer:
1000 cm³
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the edge length ) , then
V = 10³ = 1000 cm³
dandy was born 6 years before nuel.in 2000,dandy's age was 2 years more than four times the age of nuel in 1995.how old will nuel be in 2020
Answer:
nuel be 25 years old in 2020
Help! I just need someone to check if this answer is indeed correct, I believe it is, but I just would prefer having a second opinion!
Answer:
Step-by-step explanation:
Yes
Solve for y. 2(3y-7)=16
Answer:
y=5
Step-by-step explanation:
First, distribute the 2 to the 3y and -7
6y - 14 = 16
Second, add 14 to both sides.
6y = 30
Third, divide both sides by 6
y = 5
As you can see y equals 5!
I hope the explanation helped and have a great day!
Answer:
y = 5
Step-by-step explanation:
2(3y - 7) = 16
distributive property:
2(3y - 7) = 16
6y - 14 = 16
add 14 on both sides
6y - 14 + 14 = 16 + 14
6y = 30
divide both sides by 6 :
[tex]\frac{6y}{6} = \frac{30}{6}[/tex]
y = 5
to check, subtitute 5 for y
2 (3(5) - 7) = 16
2(18 - 7) = 16
30 - 14 = 16
16 = 16
For real could I get an answer!
Answer: 347.01
Step-by-step explanation:
Larger figure lxwxh= 7.5*3.95*7.5=222.1875
Smaller figure lxwxh= 8*3.95*3.95=124.82
Add 222.1875+124.82= 347.0075 rounded= 347.01
what % of 25 = 5
Please hurry
5 is what percent of 25? = 20
HELP FAST THIS 6TH GRADE MATH!
Answer:
Fraction = 1/10
Decimal = 0.1
Step-by-step explanation:
If this is 6th grade, why did you put it under high school?(Just curious)
Charlie grew 3/4 of an inch on her 7th birthday. Her twin sister Lucy grew 1/2 of an inch. How much more did charlie grow more than lucy?
Answer: 1/4
Step-by-step explanation: 3/4-1/2= 1/4
The ryan family pays 1,347 per month for rent. If their rent doesn't change, how much will they pay in dollars for rent over 30 years
Answer: 4,84,920
Step-by-step explanation:
Given
The rent per month is 1347
for a year it is 12 months
for 30 years it is [tex]30\times 12=360\ \text{months}[/tex]
Rent for 30 years it is
[tex]\Rightarrow \text{rent}=1347\times 360=484,920[/tex]
song I made wonder what yall think of it
Answer: Oop if you put that on spotify i would listen to that on repeattttttt
A comapny's stock was selling 16$ a share. A month later it was selling at 20$ a share. What is the percentage gain?
Answer: 25%
Step-by-step explanation:
Given
Initial Cost of share [tex]C.P.=16\$[/tex]
After a month, its selling price is [tex]S.P.=20\$\ \text{per share}[/tex]
The gain percentage is given by
[tex]\Rightarrow \text{Gain }\ \%=\dfrac{\text{S.P.-C.P.}}{\text{C.P.}}\times 100[/tex]
[tex]\Rightarrow \text{Gain}\ \%=\dfrac{20-16}{16}\times 100=25\%[/tex]
Y’all I need help on this question:) so if you could please help me I would appreciate it!!
Answer: [tex]\frac{1}{27}[/tex]
Step-by-step explanation:
Anything to the third power means it is multiplied by itself 3 times.
--> [tex](\frac{1}{3})^{3} =(\frac{1}{3})(\frac{1}{3})(\frac{1}{3})=\frac{1}{27}[/tex]
Penn State extension is interested in comparing the body length southern grass cicadas and citrus cicadas. The extension collected a random sample of 20 southern grass cicadas and found that they have a mean body length of 16.22 millimeters and a standard deviation of 1.34 millimeters. A separate random sample of 20 citrus cicadas resulted in a mean body length of 13.41 millimeters and a standard deviation of .73 millimeters. What is the standard error of the difference parentheses southern grass minus citrus) between the sample means
Answer:
The standard error between the sample mean is approximately 0.3412
Step-by-step explanation:
The equation for the standard error of a difference in sample mean of equal sample sizes is given as follows;
[tex]SE(\overline x_1 - \overline x_2)={\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
The given parameters are;
The number of sample of southern grass cicadas, n₁ = 20
The mean body length of the southern grass cicadas, [tex]\overline x _1[/tex] = 16.22 mm
The standard deviation, s₁ = 1.34 mm
The number of sample of citrus cicadas, n₂ = 20
The mean body length of the citrus cicadas, [tex]\overline x _2[/tex] = 13.41 mm
The standard deviation, s₂ = 0.73 mm
[tex]SE(16.22 - 13.41)={\sqrt{\dfrac{1.34^{2} }{20}+\dfrac{0.73^{2}}{20}}} \approx 0.3412[/tex]
The standard error between the sample mean, SE ≈ 0.3412
The rectangle below has an area of 70 square meters. Find the dimensions of the rectangle. (x - 11) (x - 8)
Answer:
the dimensions of the rectangle are 10 and 7.
Step-by-step explanation:
Given;
area of the rectangle, A = 70 m²
dimensions of the rectangle, = x - 11 and x - 8
The area of rectangle is calculated as;
A = L x B
70 = (x - 11)(x - 8)
70 = x² - 8x - 11x + 88
0 = x² - 8x - 11x + 88 - 70
0 = x² - 19x + 18
0 = x² - x - 18x + 18
0 = x(x - 1) -18(x - 1)
0 = (x - 18)(x - 1)
0 = x - 18 or
0 = x - 1
x = 18 or 1
The dimensions of the rectangle are calculated as;
L = 18 - 11 = 7
B = 18 - 8 = 10
Therefore, the dimensions of the rectangle are 10 and 7.
Write the series using summation notation: -1 +4-9+ 16 - 25+ ...
can somebody please solve for x and y, if you get the answers correct I'll give you extra points
Answer:
1) x = 18 2) x = 7
Step-by-step explanation:
Edit: Decided to solve the second too! :)
1)
12/16 = x/(x+6)
12x + 72 = 16x
72 = 4x
x = 18
2)
(-4 + 4x)/64 = 27/72
-288 + 288x = 1,728
288x = 2,016
x = 7
what is the Coefficient in
3x + 7
Answer:
The coefficient is 3.
Step-by-step explanation:
The coefficient is always the number next to the unknown or in this case, x
The equation of a circle is x^2 + y^2 = 56.25
Answer:
Step-by-step explanation:
General equation of circle with center at (0, 0) : x² + y² = r²
x² + y² = 56.25
x² + y² = 7.5²
Radius = 7.5 units
Center (0 , 0)
The Garcia’s bought a washing machine for $435 and a clothes dryer for $395 bath prices include tax to deliver these items the store charges $10 plus $2 per mile if the Garcia’s live 15 miles from th store what is their total bill?
Answer:
870
Step-by-step explanation:
$435 + $395 = $830
$830 + $10 = $840
$2 x 15 = $30
$840 + $30 = $870
A taxi charges $28.00 for a passenger to travel 16 kilometers.What is the unit rate for this porportional relationship?
Find 2.64 / 0.6 step by step
Answer: 4.6
Step-by-step explanation:
Can u guys please answer this question. This is extremely urgent
The cross-sections of the solids are sectors. Find the surface area, rounding your answer to 1 decimal place.
Answer:
The total surface area of the figure is approximately 10.2 m²
Step-by-step explanation:
The dimensions of the solid are;
The shape of the solid = An half cylinder
The diameter of the cylinder, D = 1.6 m
The length of the cylinder, l = 2 m
The surface area of the curved part of the solid = π × D × l ÷ 2
Therefore;
The surface area of the curved part of the solid = π × (1.6 m) × 2 m/2 ≈ 5.03 m²
The area of the curved surface, V = 5.03 m²
The area of the rectangular top, A = 1.6 m × 2 m = 3.2 m²
The area surface of the semi-circular sides of the figure = 2 × π·D²/4 ÷ 2
Therefore;
The area surface of the semi-circular sides of the figure = 2 ×π × (1.6 m)²/4 ÷ 2 ≈ 2.01 m²
The total surface area of the figure, A = 5.03 m² + 3.2 m² + 2.01 m² = 10.24 m²
The total surface area of the figure ≈ 10.2 m² (rounding to 1 decimal place)
In AABC, the measure of ZC=90°, the measure of ZA=63°, and AB = 35 feet. Find the
length of CA to the nearest tenth of a foot.
35
63°
C
A
х
jawaban:C = 45
I hope this helps
Find the missing side of this right triangle.
Answer:
13
Step-by-step explanation:
it's a 5,12,13 triangle
and we can find the sides by Pythagorean theorem:
a^2 + b^2 = root of c
25 + 144 = 169
root of 169 = 13
