Answer:
y -5 = x-3;
y -1 = 1/4 (x+2)
Step-by-step explanation:
Point Slope form: [tex]y-y_{1} =m(x-x_{1}[/tex] , where m is the slope, and x1,y1 is the point.
1. y -5 = 1 (x-3)
y -5 = x-3
2. y -1 = 1/4 (x--2)
y -1 = 1/4 (x+2)
6 gentlemen and 4 ladies, a committee of 5 is to be formed. In how many ways can this
So as to include at least two gentlemen?
be done
The City of Killeen utilities charges for water usage per gallon on a monthly basis as listed below.
Up to 500 gallons ($0.15/gallon)
More than 500 gallons - 1000 gallons ($0.33/gallon)
How much will Mrs Lapid pay if she uses 795 gallons in a particular month?
Answer:
$172.35
Step-by-step explanation:
The computation of the amount need to pay for 795 gallons is shown below
Up to 500 gallons it charges $0.15 per gallon
And, for more than 500 gallons till 1000 gallon, it charges $0.33 per gallon
So for 795 gallon, the total amount would be
= 500 × $0.15 - (795 - 500) × $0.33
= $75 + $97.35
= $172.35
A rectangle is 1 2/5 in. by 2 1/2 in. What is the rectangle’s perimeter?
Answer:
b. 7 4/5 in
Step-by-step explanation:
First, turn 1 2/5 and 2 1/2 into decimals which would be 1.4 and 2.5. Then, multiply 1.4 by 2 and 2.5 by 2 since you have to add up all the sides of the rectangle. Then, add the products to get the perimeter of 7.8 inches. (4/5 = 0.8).
Which shows the ratio 12:18 in simplest form?
Answer:
2:3
Step-by-step explanation:
divide both 12 and 18 by gcm, which is 6
Please help!!!!!!!! I will mark brainliest if right!!!! Explain
Answer:
They are not similar.
Step-by-step explanation:
The angles of a triangle add up to be 180°. If they were similar, the triangle angles would have to be 60°, 40°, and 80°. Because one of the angles is 81°, the triangles cannot be similar.
81° + 40° + 60° does not equal 180.
plz help with this asap
Answer:
17
Step-by-step explanation:
6+15 =21
DB = A F
CB = A F -4
CB = 21-4 = 17
PLS HELP
Identify the area of a regular hexagon with side length 17 in. rounded to the nearest tenth.
Answer:
750.8in squared
Step-by-step explanation:
The area of a regular polygon is one-half times the length of the apothem times the perimeter.
Notice that the formula combines the areas for the six triangles that fit inside the hexagon.
The perimeter is equal to the sum of the six triangle bases and the apothem is the height of each triangle.
The interior angles of the hexagon have a measure of 120°
, so the angles at the base of the triangle (and the third angle) have measure 60°
.The height forms a 30°−60°−90°
triangle, which has one leg equal to half of the hexagon side, or 8.5 in.
, and the other leg equal to 8.53–√ in
The figure shows a regular hexagon. Each angle of the hexagon measures 120 degrees. There is a triangle inside the hexagon. The base of the triangle coincides with one of the sides of the hexagon and one of the vertices of the triangle is the center of the hexagon. The length of the apothem is 8.5 times square root of 3 inches. The angles at the base of the triangle measure 60 degrees. The angle between the apothem and the side of the triangle measures 30 degrees. The apothem divides the base of the triangle into two parts. One of the parts is 8.5 inches long.
Find the perimeter of the hexagon.
P=6(17)
Simplify.
P=102in.
The formula for the area is A=12aP
. Substitute the known values and simplify.
A=12(8.53–√)(102)
=433.53–√in2
Round to the nearest tenth as 750.8 in
Therefore, the area of the regular hexagon with side length 17in.
is A≈7508. in2
.
what is 2 x (√3)/3 x (√3)/3 ?
Answer:
2/3
Step-by-step explanation:
2*√3/3*√3/3
√3/3*√3/3=1/3
2*1/3=2/3
(ONLY TWO CAPITAL LETTERS FOR EACH) ANSWER CORRECTLY !!!!!! WILL MARK BRIANLIEST !!! PLEASE HELPPP !!!!!!!!!!!!!
Answer:
OP and OR
Step-by-step explanation:
When the two segments intersect they form a 90-degree angle implying that the lines are perpendicular.
The area of a square mural is 121x^2– 66x + 9 ^2
What is the length of one side of the mural?
Answer:
(11x-6) to the power of 2
Step-by-step explanation:
what are 3 online websites I can take pictures on with, without saving to ur device , it stays on that site and its just for u
Answer:
Webca-mtoy.com webca-mera.io I only know 2
Step-by-step explanation:
Factorize the following using identities 196p²– 121p²
Answer:
75p²
Step-by-step explanation:
Given data
We are given the expression
(196p²– 121p²)
We can see the p is common in both terms
=p²(196-121)
=p²(75)
=75p²
Hence the factorized form is 75p²
I need help ASAP
Mr. Bray prepares a list of 43 US presidents, 8 of whom died in office. Then 18 of his students each select a president at random (there can be repeats) for their creative writing assignments.
What is the probability that at least one of the students select a president who died in office?
Original price of a phone: $129.99
Tax: 2%
Answer:
$132.59 is the answer
Please help me with this
Find the value of x and the measure of the angle labeled 3X"
3x
45
27
A. X-15angle measure is 274
B. X-9, angle measure is 45
C. X-15, angle measure is 45
D. x. 9; angle measure is 27
Answer:
Option D will be your answer
Step-by-step explanation:
D. x. 9; angle measure is 27
hope it helps u
PLEASE HELP ME!
In a basketball game, Beth made 16 shots. Each shot was worth either 2 points or 3 points. Beth finished with a total of 39 points for the game. Let x represent the number of 2 point shots made, and let y represent the number of 3 point shots made. Write a system of equations to model the situation.
x + y = 16
2x + 3y = 39
x + y =39
2x + 3y =16
x + 3y = 16
2x + y = 39
2x + y = 16
x + 3y = 39
Answer:
A. x+y=16; 2x+3y=39
Step-by-step explanation:
The total number of shots made is the amount of 2 points and 3 point shots made. The amount of points is the number of 2 point shots made (x) times 2 and the amount of 3 point shots made (y) times 3. So A is the answer
Answer:
Answer is 39 Hope you did well on your work
The perimeter of a pool is 116 feet. If the length of the pool is 3 times its width, what is the width of the pool?
Answer:
the width is 3
Step-by-step explanation:
4.
The number of hours h that it takes m men to assemble x machines varies directly as the number of
machines and inversely as the number of men. If four men can assemble 12 machines in four hours,
how many men are needed to assemble 36 machines in eight hours?
Answer:
5 men
Step-by-step explanation:
4m × 4h = 12
xm × 8h=36
x m = 4.5
Can anyone help me please?
Answer:
- 6
Step-by-step explanation:
The given statement implies that the slope of line formed by (5, r) is (3, -2) is -2, as they lie on the same line.
Slope(using these pts) = (y2 - y1)/(x2 - x1)
=> - 2 = (-2 - r)/(3 - 5)
=> -2 = (-2 - r)/(-2)
=> (-2)(-2) = (-2 - r)
=> 4 = -2 - r
=> r = - 2 - 4
=> r = - 6
Answer: r = -6
(5,-6) (3,-2)
In a cookie jar, 1/5 of the cookies are chocolate chip and 3/4 of the rest are peanut butter. What fraction of all the cookies is peanut butter?
Answer:
1/10
Step-by-step explanation:
Find the value of each variable that makes the equation true.
a. 2^5 x 2^3 = 2^a
b. 7^4/7^b = 7^-2
c. 8^c = 1/64
a. 2⁵ × 2^(3) = 2^(a) is a = 8.
b. 7⁴/[tex]7^b[/tex] = 7⁻² is b = 6.
c. [tex]8^c[/tex] = 1/64 is c = - 2.
What are some rules of exponents?Some common rules of exponents are
[tex]{a^b}\times{a^c} = a^{b + c}[/tex].
[tex]\frac{a^b}{a^c} = a^{b - c}[/tex]
We can only add and subtract exponents only when we have the same base.
Given,
2⁵ × 2³ = [tex]2^a[/tex].
[tex]2^{5+3}[/tex]= 2^(a).
[tex]2^8[/tex] = [tex]2^a[/tex]
a = 8.
[tex]\frac{7^4}{7^b}[/tex] = [tex]7^{-2}[/tex]
[tex]7^{4-b}[/tex] = [tex]7^{-2}[/tex].
4 - b = - 2.
- b = - 6.
b = 6.
[tex]8^c[/tex] = 1/64.
[tex]8^c[/tex] = 1/[tex]8^2[/tex].
[tex]8^c[/tex] = [tex]8^{-2}[/tex]
c = - 2.
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whats 10 times 10? also 6 times 6
Answer:
10 x 10 = 100
6 x 6 = 36
:)
Answer:
10*10=100 | 6*6=36
Step-by-step explanation:
Well, 100/10=10
36/6=6
--------------
10+10+10+10+10+10+10+10+10+10=50+50=100
6+6+6+6+6+6=18+18=36
help me please
.......
Answer:
C(t)= .10t +25
Step-by-step explanation:
A cone and a cylinder both have a diameter of four feet and a height of six feet. Determine if the statement is true by selecting Yes or No.
Answer:
yes, no, yes, no
Step-by-step explanation:
Answer:
Step-by-step explanation:
Yes, No, Yes, No. Hope this helps!
b)
9f + 101 - 12f
Simply
Answer:
-3f+101
Step-by-step explanation:
Answer:
-3f+101
Step-by-step explanation:
collect like terms first
9f-12f+101
subtract now
9-12=-3
-3f+101
the legs of a right triangle are congruent and the hypotenuse is
.
[tex]7 \sqrt{3} [/tex]
units long . find the length of each leg.
plss help me with this I'm really bad at math
Answer:
Step-by-step explanation:
Length of each leg = hypotenuse/√2
= 7√3/√2 units
= 7√6/2 units
Pedro wants to walk from the historic village to the science center. Then he will walk from the science center to the museum. If he walks at the speed of 2 7/10 how many hours will it take him?
Answer:
5 hours
Step-by-step explanation:
Speed = 2 7/ 10 miles per hour
From the chart attached :
Distance between historic village and science center : (-4 1/2, 5 1/4) to (-4 1/2, -1 3/4)
Taking the sum of the absolute value of the y coordinate :
|5 1/4| + |-1 3/4| = 5 + 1 + 1/4 + 3/4 = 7
From science center to museum :
(-4 1/2, - 1 3/4) to (2, - 1 3/4)
Taking the sum of the absolute value of the x coordinate :
|4 1/2| + |2| = 4 + 2 + 1/2 = 6 1/2
Total distance traveled = 7 + 61/2 = 13 1/2 miles
Time taken = Distance / speed
Time taken = 13 1/2 ÷ 2 7/10
Time taken = 27/2 * 10/27
Time taken = 10/2
Time taken = 5 hours
commission: 6 percent on first $10,00; 8 percent over $10,000. find the total graduated commission on $12,500
Answer:
10,000 X 6% = 600
2500 X 8% = 200
Total is 800
Step-by-step explanation:
The total graduated commission on 12500 dollars is 800 dollars.
What is percentage ?Percentage is the value per hundredth.
According to the given question upto 10000 dollars the commission is of 6%.
∴ Commission at 6% on 10000 dollars is = (6/100)×10000 dollars.
= 6×100 dollars.
= 600 dollars.
Remaining amount is (12500 - 10000) = 2500 dollars and his commission is of 8 %.
∴Commission at 8% on 2500 dollars is = (8/100)×2500 dollars.
= 8×25 dollars.
= 200 dollars.
So, the total graduated commission on 12500 dollars is (600+200) dollars.
= 800 dollars.
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Find an explicit formula for the arithmetic sequence -5, 13, 31,
49,....
Note: the first term should be b(1).
B(n)=(blank)
Answer:
b(n) = -23 + 18n
Step-by-step explanation:
NOTE - This is an arithmetic sequence, so each number is increasing by addition. If you were in a geometric sequence, however, you'd be multiplying. This means that the explicit formula for the geometric sequence you'll be learning later on will be different.
The formula for explicit formula is b(n)=b(1)+d(n-1). The variable d represents the common difference and the a is whatever number of the term you are using.
Since you have b(1), you look at what your first term is. Plug -5 into a(1).
To find your common difference, find 13-(-5). This is 18, and adding it to the others you can see that it continues.
So, plugging in what you have so far it looks like b(n) = -5 + 18(n - 1)
All we need to do now is simplify.
1. Distribute: -5 + 18n - 18
2. Add like terms: -23 + 18n
Hope this helped and made sense lol.