what is the point-slop of a line with slope 3/2 that contains the point (-1,2)?
O A. y 2 = 3/2(x-1)
O B. y+2 = 3/2(x-1)
O C. y-2 = 3/2(x + 1)
O D. y + 2 = 3/2(x + 1)
Answer:
The answer is option C.Step-by-step explanation:
Equation of a line is y = mx + c
where m is the slope
c is the y intercept
Equation of the line using point ( -1 , 2) and slope 3/2 is
y - 2 = 3/2(x + 1)Hope this helps you
Find the value of this expression if x = 3.
x2 + 3
Express your answer as a fraction or integer.
Enter the correct answer.
Answer:
9
Step-by-step explanation:
x2 + 3
(3)2 + 3
6 + 3
9
Answer:
12.
Step-by-step explanation:
x = 3; x^2 + 3.
(3)^2 + 3 = 3 * 3 + 3 = 9 + 3 = 12
Hope this helps!
A same side interior angle of two parallel lines is 20° less than the other same side interior angle. Find the measures of these two angles.
Answer:
80º and 100º
Step-by-step explanation:
The Price of a machine depreciates at the rate of ₹1500 per year. If it was bought for ₹15,800, what will be its price after 5 years?
Answer:
5th year= 9800
Step-by-step explanation:
1st year=15800
2nd=14300
3rd=12800
4th=11300
5th=9800
Frank is detoxing and is wanting to drink one gallon of water a day. There are 128 ounces in a gallon. Frank has already drank four 16 ounce cups of water. First, how many ounces of water has Frank drank and second how many more ounces of water does Frank have to drink?
Answer:
frank drank 0.125us gallons= 16 ounces, he has 0.875 us gallons= 112 ounces
Step-by-step explanation:
since 16 oz (which frank drank) = 0.125 gal, 1 gal - 0.125 = 0.875 gal which = 112 oz
Complete the table of values for y = 3x - 2
Table
x: -1, 0, 1, 2
y:
Answer:
y= -5
y= -2
y= 1
y= 4
Step-by-step explanation:
plug in the values of x into the equation
The values of 'y' for the given values of [tex]x = - 1, 0, 1, 2[/tex] are [tex]- 5, - 2, 1, 4[/tex] respectively.
What is a linear equation?A linear equation is an equation that has one or multiple variables with the degree of the polynomial is 1.
The given linear equation is
[tex]y = 3x - 2[/tex]
The given values of [tex]x = - 1, 0, 1, 2[/tex].
For [tex]x = - 1, y = 3(- 1) - 2 = - 5[/tex]
For [tex]x = 0, y = 3(0) - 2 = - 2[/tex]
For [tex]x = 1, y = 3( 1) - 2 = 1[/tex]
For [tex]x = 2, y = 3(2) - 2 = 4[/tex]
Therefore, the table will be:
x y
- 1 - 5
0 - 2
1 1
2 4
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Need hep with this question
Answer:
V= -2000t + 20000
Step-by-step explanation:
Let m be the slope of our function :
m=(20000-16000)/(0-2)= -2000so our function is V= -2000t + b b is the intitial price so b = 20000then : V= -2000t + 20000Let's check :
take the second year : V= -2000*2 +20000 = 16000 that's true !Please answer it now in two minutes
Answer:
52
Step-by-step explanation:
the total is 180
so u add 61 and 67 which gives u 128
so u subtract 180 and 128 which gives u 52
hope this helps
Answer:the answer is 52
Step-by-step explanation:
First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.
HELP ASAP!!!!
A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the
new rectangle are true? Check all that apply.
The dimensions of the new rectangle will be 10 cm by 12 cm.
The dimensions of the new rectangle will be 40 cm by 48 cm.
The new perimeter will be 4 times the original perimeter.
The new perimeter will be 16 times the original perimeter.
The new area will be 4 times the original area.
The new area will be 16 times the original area.
The new perimeter will be 44 cm.
The new area will be 30 square cm
Answer:
A, C, E, G
Step-by-step explanation:
A rectangle has a fixed area of 24 cm². Complete these sentence: The length and width of the rectangle are ________ proportional and can be written in symbols as ________
Answer:
Step-by-step explanation:
The rectangle's are is 24cm²
Let x be the lenght and y be the width x*y = 24 ⇒ x=24/y so the width and lenght of a triangle are inversly proprtional and can be written in symbols as x∝ 1/ysomeone help me asap please
Step-by-step explanation:
1, vertical- axis intercept is the water at the beginning
3, she should have included the y-intercept and x-intercept of the linear function
mo
1.
[tex] \frac{5}{10} \div \frac{3}{2} [/tex]
Answer:
The answer is 1/3.
Step-by-step explanation:
This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.
(08.01, 8.02 MC)
An expression is shown below:
4x3 - 20x2 +36x - 180
Part A: Rewrite the expression so that the GCF is factored completely. (4 points)
Part B: Rewrite the expression completely factored. Show the steps of your work. (6
points)
(10 points)
Answer:
4(x^3 -5x^2 +9x -45)4(x -5)(x^2 +9) = 4(x -5)(x -3i)(x +3i)Step-by-step explanation:
A) We observe that each coefficient is divisible by 4. The GCF of the terms is 4.
4x^3 - 20x^2 +36x - 180 = 4(x^3 -5x^2 +9x -45)
__
B) We further observe that the coefficients of each pair are in the ratio 1:-5, so we can factor pairwise:
= 4(x^2(x -5) +9(x -5)) = 4(x^2 +9)(x -5) . . . . factored completely in reals
The quadratic factor x^2+9 can be factored further if complex numbers are used:
= 4(x -3i)(x +3i)(x -5) . . . . factored completely in complex numbers
_____
Comment on the quadratic factor
The term x^2 +9 can be considered to be the difference of squares:
x^2 +9 = x^2 -(-9)
= x^2 -(3i)^2
= (x -3i)(x +3i)
What is the equation of the line that passes through (4,3) and (2, -1)?
Answer:
y = 2x - 5
Step-by-step explanation:
Step 1: Find slope m
m = (-1 - 3)/(2 - 4)
m = -4/-2
m = 2
y = 2x + b
Step 2: Find b
-1 = 2(2) + b
-1 = 4 + b
b = -5
Step 3: Rewrite equation
y = 2x - 5
The endpoints of the directed line segment AB are A(−7, 4) and B(8, 9). Find the coordinates of point P along AB¯¯¯¯¯¯¯¯ so that the ratio of AP to PB is 2 to 3.
Answer:
The coordinates of point P along the segment AB is (-1, 6).
Step-by-step explanation:
It is known that ratio of AP to PB is:
[tex]\frac{AP}{PB} = \frac{2}{3}[/tex]
Or vectorially speaking:
[tex]\overrightarrow{AP} = \frac{2}{3}\overrightarrow{PB}[/tex]
The vector that represents the segment AB is:
[tex]\overrightarrow{AB} = \vec B -\vec A[/tex]
If [tex]\vec A = (-7,4)[/tex] and [tex]\vec B = (8,9)[/tex], then:
[tex]\overrightarrow{AB} = (8,9)-(-7,4)[/tex]
[tex]\overrightarrow {AB} = (8+7,9-4)[/tex]
[tex]\overrightarrow{AB} = (15,5)[/tex]
But [tex]\overrightarrow{AB} = \overrightarrow{AP} + \overrightarrow{PB}[/tex], then:
[tex]\overrightarrow{AB} = \frac{2}{3}\overrightarrow{PB} +\overrightarrow{PB}[/tex]
[tex]\overrightarrow{AB} = \frac{5}{3}\overrightarrow{PB}[/tex]
[tex]\overrightarrow{PB} = \frac{3}{5}\overrightarrow{AB}[/tex]
[tex]\overrightarrow{PB} = \frac{3}{5}(15,5)[/tex]
[tex]\overrightarrow{PB} = \left(9, 3\right)[/tex]
The location of [tex]\vec P[/tex] is derived of this formula:
[tex]\overrightarrow{PB} = \vec B - \vec P[/tex]
[tex]\vec P = \vec B - \overrightarrow{PB}[/tex]
If [tex]\vec B = (8,9)[/tex] and [tex]\overrightarrow{PB} = \left(9, 3\right)[/tex], then:
[tex]\vec P = (8,9) - (9,3)[/tex]
[tex]\vec P = (8-9,9-3)[/tex]
[tex]\vec P = (-1, 6)[/tex]
The coordinates of point P along the segment AB is (-1, 6).
Eva is working out the area of a triangle . The base is 7.8 and the length of one side is 6.3 cm. I multiply and then divide by two. What mistake has eva made?
Answer:
Eva used a side dimension instead of the height.
Step-by-step explanation:
The base needs to be multiplied by the height, then the result needs to be divided by 2. Eva's mistake is using a side dimension instead of the height. Her approach only works for a right triangle.
Eva multiplied the base by the side height, not the actual height.
Step-by-step explanation:
The area of a triangle is b×h×½, or b×h÷2. Eva multiplied the length times one side, as it says in the problem. The actual height of the triangle we don't know, but we know that Eva multiplied the base, 7.8 cm, by the wrong height.
Hope this helps! (Plz give me brainliest, it will help me achieve my next rank.)
Clare says’ this classroom is 11 m long in metres longer than a year so if I measure the length of the classroom I will get less than 11 yards .do u agree with Clare
Answer:
No I don't agree with Clare.
You will get more than 11 yards
Step-by-step explanation:
What is the value of this expression when t = -12?
-3|t − 8| + 1.5
Answer:
61.5
Step-by-step explanation:
-3 (t-8)+1.5
-3 (-12-8)+1.5
-3 (-20)+1.5
60+1.5= 61.5
The value of expression will be;
⇒ - 58.5
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ - 3 | t - 8 | + 1.5
And, The value of t = - 12
Now,
The expression is,
⇒ - 3 | t - 8 | + 1.5
Put t = - 12, we get;
⇒ - 3 | - 12 - 8 | + 1.5
⇒ - 3 | - 20 | + 1.5
⇒ - 3 × 20 + 1.5
⇒ - 60 + 1.5
⇒ - 58.5
Thus, The value of expression will be;
⇒ - 58.5
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Question 1: A certain county has 1,000 farms. Corn is grown on 100 of these farms but on none of the others. In order to estimate the total farm acreage of corn for the country, two plans are proposed. Plan I: a) Sample 20 farms at random. b) Estimate the mean acreage of corn per farm in a confidence interval. c) Multiply both ends of the interval by 1,000 to get an interval estimate of the total. Plan II: a) Identify the 100 corn-growing farms. b) Sample 20 corn-growing farms at random. c) Estimate the mean acreage of corn for corn-growing farms in a confidence interval. d) Multiply both ends of the interval by 100 to get an interval estimate of the total. On the basis of the information given, which of the following is the better method for estimating the total farm acreage of corn for the county? *
Answer:
Plan II
Step-by-step explanation:
A certain county has 1,000 farms.
Corn is grown on 100 of these farms but on none of the others.
Since corn is grown on only 100 of these farms, the population of interest is the 100 farms on which corn is grown.
Therefore, a better method for estimating the total farm acreage of corn for the county is Plan II.
a) Identify the 100 corn-growing farms.
b) Sample 20 corn-growing farms at random.
c) Estimate the mean acreage of corn for corn-growing farms in a confidence interval.
d) Multiply both ends of the interval by 100 to get an interval estimate of the total.
Please help me find the answer ASAP
The vertex of the graph of y = -4(x + 3)2 + 2 is ( , )
Answer:
Step-by-step explanation:
This quadratic is of the form
[tex]y=-a(x-h)^2+k[/tex] where h and k are the coordinates of the vertex. Notice that inside the parenthesis it very specifically follows the format (x - h)². That means that if you have something like what we have here, ( x + 3)^2, it was originally (x - (-3))^2, and the value for h is -3. k is much simpler to determine. Our 2 at the end is a +2, so the k is 2. The vertex then is (-3, 2).
Solve the Triangle if possible
A.) c=46°32',a=56.2 m,c=22.1 m
B.) a=200 m,A=32.76°,C=21.97°
Find the area of the triangle
C.) B=42°,a=7.2 ft,c=3.4 ft
Answer:
Step-by-step explanation:
A )
a / sinA = c / sinC
sinA = a sinC / c
= 56.2 sin 46.32 / 22.1
= 1.84
The value of sin value of an angle can not be more than 1 so the triangle is not possible .
B )
B = 180 - ( 32.76 + 21.97 )
B = 125.27
a / sin A = c / sin C
200 / sin 32.76 = c / sin21.97
c = 74.82 / .5411
= 138.27 m
b / sin B = a / sin A
b / sin 125.27 = 200 / sin 32.76
b = 163.28 / .5411
= 301.75 m
C )
Area of triangle = 1/2 ac sinB
= .5 x 7.2 x 3.4 x sin 42
= 8.19 sq ft .
Sabrina is in charge of ordering t-shirts for the Freshman council to sell at school. She has to decide whether to order the shirts from Custom T-shirts or Fancy T-shirts. Custom T-shirts charges a one-time $15 set up fee and $8 per shirt ordered. Fancy T-shirts charges a one-time $60 set up fee and $5 per shirt ordered.
a. Find the cost of ordering 3 shirts for each company.
b. Write and solve an equation that gives the number of t-shirts for which the two companies will charge the same amount
Answer:
(a)The cost of ordering 3 Custom T-shirts is $39.
The cost of ordering 3 Fancy T-shirts is $75
(b)15 T-Shirts
Step-by-step explanation:
(a)Let n be the number of T-Shirts ordered
Custom T-shirts charges a one-time $15 set up fee and $8 per shirt ordered.
Cost, C=15+8n
Therefore, the cost of ordering 3 Custom T-shirts
= 15+8(3)
=15+24
=$39
Fancy T-shirts charges a one-time $60 set up fee and $5 per shirt ordered
Cost, C=60+5n
Therefore, the cost of ordering 3 Fancy T-shirts
= 60+5(3)
=60+15
=$75
(b)We are to determine the number, n at which the costs, C will be equal.
If C=60+5n and C=15+8n are equal, then:
60+5n=15+8n
8n-5n=60-15
3n=45
n=15
Therefore, the cost of both T-shirts will be equal when 15 T-shirts are ordered.
Solve the question given below
Answer:
x = 3.9
Step-by-step explanation:
x/1.5 = 2.6
Multiply both sides by 1.5
x/1.5 × 1.5 = 2.6 × 1.5
x = 3.9
Answer: 3.9
Step-by-step explanation:
x= 1.5 x 2.6 x= 3.9The sum of five consecutive positive integers is 2020. Find the largest of these numbers.
Answer:
406
Step-by-step explanation:
Five consecutive positive integers = x, (x+1), (x+2), (x+3), (x+4)
x + (x+1) + (x+2) + (x+3) + (x+4) = 2020
5x + 10 = 2020
5x = 2020-10
5x = 2010
x = 2010÷5
x = 402
The largest of the number is = x+4
x+4 = 402 + 4 = 406
Solve the system of equations by subsitution.
b = 4a +2
12a - 3b = -6
Answer:
infinite solution
Step-by-step explanation:
hello
we substitute b = 4a + 2 in the second expression
12a -3*(4a+2) = -6
<=> 12a -12a -6 = -6
<=> -6 = -6
which is always true
so there is infinite solution
hope this helps
Im on a time limit please help i will give brainliest!
Answer:
C
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 19 and h = 16 , thus
A = 0.5 × 19 × 16 = 152 yd² → C
please help i will give out brainliest
Answer:
B
Step-by-step explanation:
(a) Complete the table by substituting the values of x into y = x² - 4x
x | - 1 0 1 2 3 4 5
y | 5 0 - 3 - 4 - 3 0 5
Considering ordered pairs from the table
(0, 0 )
The only graph that passes through the origin is graph B
Graph B also goes through all the given points in the table
What are the answers for each?
Answer:
7% of 33= 2.1
2% of 640= 12.8
15% of 470=70.5
7/9 of 51= 119/3
.52 of 62= 32.24
Answer:
1) 2.31
2) 12.8
3) 72
4) 44.625
5) 32.24
Step-by-step explanation:
7% of a number is simply 0.07*the number.
7/8 is just .875*the number
Hope it helps <3
HELP?? A water tower is 52 feet tall and casts a shadow 78 feet long, while a child casts a shadow 6 feet long. How tall is the child?
Answer:
Step-by-step explanation:
take a right triangle ABC...
right angled at B...
let AB be the height of the water tank...=52feet
AC hypotanuse...
BC is the length of the shadow..=78feet
tan thete=Opp/adj=AB/BC=52/78------eq1
tan theta in both cases remain the same,
hence,
take a right triangle PQR...
right angled at Q...
let PQ be the height of the water tank...
PR hypotanuse...
QR is the length of the shadow...=6feet
tan theta=52/78 (from 1)
tan thete=Opp/adj=PQ/QR = PQ/6-----eq2
hence, from 1, 2
52/78=PQ/6....
52x 6/78=PQ
52/13=PQ
Hence,4m=PQ=height of the boy...
Thank you, Hope this helps you dear friend,,,,