Answer:
The equation of the line is:
[tex]y = -\frac{1}{2}x + 3[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines:
If two lines are perpendicular, this means that the multiplication of their slopes is -1.
Perpendicular to y=2x+7
This means that:
[tex]2m = -1[/tex]
[tex]m = -\frac{1}{2}[/tex]
So
[tex]y = -\frac{1}{2}x + b[/tex]
Passing through the point (-4,5)
This means that when [tex]x = -4, y = 5[/tex]. We use this to find b.
[tex]y = -\frac{1}{2}x + b[/tex]
[tex]5 = -\frac{1}{2}(-4) + b[/tex]
[tex]2 + b = 5[/tex]
[tex]b = 3[/tex]
The equation of the line is:
[tex]y = -\frac{1}{2}x + 3[/tex]
11/60 as a mixed number
Answer:
5 /11 is the Mixed Number.
Have a good day! :D
Step-by-step explanation:
Write the explicit formula for the
sequence below. Then, find the number
term in the sequence as listed.
140,130,120,110...
Answer:
[tex]a_n=-10n+150[/tex]
Step-by-step explanation:
This is consider a linear pattern (arithmetic pattern).
We know this because it is either going up or down by the same number each time. It's going down by 10 in this case.
So -10 is the slope of this linear pattern.
The equation for a linear pattern is:
y=mx+b
where x represents the position the term is in
and
where y represents the actual term
and
where m is the slope
So we have y=-10x+b.
(x,y)
(term position in sequence, actual term)
(1,140)
(2,130)
(3,120)
(4,110)
We can find b by using a number with it's position in the sequence (that is plug in one of your points above).
y=-10x+b
140=-10(1)+b
140=-10+b
150=b (after adding 10 on both sides)
The explicit equation for the sequence is y=-10x+150.
They probably prefer you to write: [tex]a_n=-10n+150[/tex] instead.
In the figure below, points G, H, and Jall lie on circle I.
H
Which of the following can be concluded from the figure?
Answer:
3rd option
∠JGH= 1/2∠JIH
Step-by-step explanation:
This is because of the circle theorem that states that angle at center is equal to two times the equal at circumference
Moriah studied for 3 hours to prepare for her history exam. How many minutes did she study?
Answer:
180
Step-by-step explanation:
Every hour is 60 minutes. To find the total number of minutes she studied, you would have to multiply 3 x 60.
3 x 60 = 180
Answer: 180 minutes.
Step-by-step explanation: 3 hours is equal to 60+60+60 because there is 60 minutes in 1 hour so 60+60 is 120+60=180 therefore, she studied for 180 minutes.
evimi
Simplify 6(3+4) - 5(1 + 2).
Step-by-step explanation:
6(3+4) - 5(1+2)
= 6 x 7 - 5 x 3
= 42 - 15
= 27
Step-by-step explanation:
6(3+4) - 5(1+2)
6×7 - 5×3
42 - 15 = 27
Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 14 years?
Answer:
sorry 2458946547165874%
Step-by-step explanation:
HELP PLS WUICK! GIVING OUT BRAINLIST
m∠Q =
m∠R =
m∠S =
40 POINTS!!!!!!!
9514 1404 393
Answer:
∠Q = 89°
∠R = 123°
∠S = 91°
Step-by-step explanation:
It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.
arc QRS = 2·∠P = 114°
So, ...
arc QR = arc QRS - arc RS = 114° -41° = 73°
The total of the arcs around the circle is 360°, so ...
arc PQ = 360° -arc PS -arc QRS
arc PQ = 360° -137° -114° = 109°
__
∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)
∠Q = 89°
__
∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)
∠R = 123°
__
∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)
∠S = 91°
HELP PLS!!
Write the inequality shown by the graph
Answer: y>-2/6+2
Step-by-step explanation:
We know it's greater then so we just need to find the line. Let's look at the Slope, since 0,2 is greater than -6,4 we start there. The y of 0,2 is 2 so we subtract 4 from 2 which is -2 and now we subtract -6 from 0 which is 6 so now we have -2/6 and the intercept is 2 so we now have y=mx+b which is the line in black: y=-2/6+2. But it is greater than so its y>-2/6+2
A rectangle has a base of 4 feet and a height of 30 inches.
What is the area of the rectangle? Choose the correct answer below.
A
4.5 square feet
B
10 square feet
C
46 square inches
D
120 square inches
Help Please! I ain’t understanding this :’
Answer:
The first one because the width and the length make the box of ice cream look bigger.
Step-by-step explanation:
(7-9i)(4-2i)multiply and simplify
Answer: -32-126i
Step-by-step explanation:
Acellus
A
-3
-2.
-1
B
The distance AB rounded to the
nearest tenth = [?].
Hint: d= V(x2 – x1)2 + (y2 - y1)2
Enter
haha help plz
Answer:
[tex]AB = 3.6[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Distance AB
From the graph:
[tex]A = (-2,1)[/tex]
[tex]B = (1,-1)[/tex]
The distance is:
[tex]AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]AB = \sqrt{(-2 -1)^2 + (1- -1)^2}[/tex]
[tex]AB = \sqrt{(-2 -1)^2 + (1+1)^2}[/tex]
[tex]AB = \sqrt{13}[/tex]
[tex]AB = 3.6[/tex]
Solve for the two variables in the following system of equations. 7x-8y=-12
--4x+2y=3
Answer:
x=0, y=3/2. (0, 3/2).
Step-by-step explanation:
7x-8y=-12
-4x+2y=3
----------------
7x-8y=-12
4(-4x+2y)=4(3)
-----------------------
7x-8y=-12
-16x+8y=12
----------------
-9x=0
x=0/-9
x=0
7(0)-8y=-12
0-8y=-12
8y=0-(-12)
8y=0+12
8y=12
y=12/8
simplify
y=3/2
ez one cus im lazy so give it a shot and 1st right = brainle
Answer:
d
Step-by-step explanation:
Answer:
For The Number 6 Its A
For The Number 7 The Volume is 400
8 + 6 − (8 ÷ 4) x 2 i need help
Answer:
10
Step-by-step explanation:
8 + 6 - (8 ÷ 4) × 2
8 + 6 - 2 × 2
8 + 6 - 4
14 - 4
10
the secret to football betting
Answer:
Step-by-step explanation:
Do tell, if that's what you mean. If you're asking me, I'm not sure I know!
Please help I will give you brainless fide the volume and round to the nearest tenth
Answer:
11.5 ft
Step-by-step explanation:
Take the cone formula:
V = 3.14 * 1^2 * 11/3 = 11.5 ft
PLEASE HELP!!! DUE IN 10 MIN!!!
Answer:
Option B
Step-by-step explanation:
Surface area of a triangular prism = Area of the triangular sides + Area of the rectangular sides
Area of the triangular sides = 2(Area of the triangular base)
= [tex]2[\frac{1}{2}(\text{Base})(\text{Height})][/tex]
= 10 × 12
= 120 ft²
Area of the rectangular sides = (Perimeter of the triangular side)(Height of the prism)
= (10 + 13 + 13)(15)
= 36 × 15
= 540 ft²
Surface area of the prism = 120 + 540
= 660 square feet
Option B will be the answer.
Please help I will give brainliest
Answer:
c.42
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
10+4= 14 so that is one side
14x3=42
So the answer is 42 so C
Can anyone help me with this question?
Answer:
A = 78.5
Step-by-step explanation:
to find the area of a quarter of a circle, find the area of the whole circle and divide it by 4:
A = (π[tex]r^{2}[/tex]) ÷ 4
A = (3.14 x [tex]10^{2}[/tex]) ÷ 4
A = (3.14 x 100) ÷ 4
A = 314 ÷ 4
A = 78.5
what is the surface area of the jewlery box below ?
( click on the image for the full box )
A. 146 cm
B. 292 cm
C. 336 cm
D. 672 cm
Answer:
B 292
Step-by-step explanation:
Hello There!
The first thing we want to do is find the formula for surface area of a rectangle
[tex]SA=2(wl+hl+hw)[/tex]
where w = width h = height and l = length
we are given the dimension:
h = 7
w = 8
l = 6
all we have to do is plug in
[tex]SA=2(8*7+6*7+6*8)\\8*7=56\\6*7=42\\6*8=48\\48+42+56=146\\146*2=292\\SA=292[/tex]
so we can conclude that the surface area is 292
A builder buys 28.5 acres of land to develop a new community of homes and parks.
Part 1 :
The builder plans to use 0.75 of the land for a park. How many acres will he use for the park?
Part 2 out of 2
He buys a second property that has 0.74 times as many acres as the first property. How many acres of land
are in the second property? no links please.
Answer:
Part 1: 21.375 Acres
Part 2: 15.8175 Acres
On a number line, show all values of x that have the absolute value less than 3
answer::::::::::::::::::::
Basically
Krish and Aanya gor to a restaurant for dinner. Their meals total $13.75. The tax is 5%
a. How much tax is added to the bill?
b. Aanya and Krish want to leave a 15% tip based on their bill and tax combined. How much should they leave?
Answer:
A) $6.87
B) $3.09
Step-by-step explanation:
what is the value of k if - 2/3(k - 6) = 3/2(k+6)
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: -30/13
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Find tan x in the triangle pictured above
Answer:
Hi Marie, use the reminder
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
Tan(x) = Opp / Adj
Tan(x) =32 / 24
X = arcTan(32/24)
X = 53.13°
In a local middle school, there are 20 Science teachers, 30 Social
Studies teachers and 600 students. What is the ratio between the number
of Science teachers and the number of students for this school? *
1:12.
1:30
1:35
1:40
Answer:
no of science teachers is 20
no of students is 600
ratio=20/600
=20:600
=1:30
pls give me brainliest
Last year, Jason's average in math was a 72. This year, his average is a 90. What is the percent increase in Jason's grade?
Answer:
20% increase
Step-by-step explanation:
All you have to do is divide 72 by 90n and it will give you .8, move the decimal two places to the right to give you 80 and subtract 80 from 100 to get 20
The remaining questions refer to the following situation: Suppose a certain farmer wants to find out if the average length of the green beans in her field is 4 inches. She collects a random sample of 100 beans and get a sample mean of 3.75 inches. (Suppose she knows that the population standard deviation of bean length is 0.5.) What is the population in this situation
Answer:
The population in this situation is all green beans in her field.
Step-by-step explanation:
Informally, if you take a sample of an object, the population in all of these objects.
In this question:
Sample of 100 green beans in her field. This means that the population in this situation is all green beans in her field.