Answer: y = -0.5*x - 1
Step-by-step explanation:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Here we know that we have a line that passes through the points (-2, 0) and (0, -1)
Then the slope for this line is:
a = (-1 -0)/(0 - (-2)) = -1/2 = -0.5
Then our line is something like:
y = -0.5*x + b
now we know that this line passes trough the point (0, -1), this means that when x = 0, y must be equal to -1
Then we can replace these values in the equation in order to find the value of b.
-1 = -0.5*0 + b
-1 = b
Then the equation is:
y = -0.5*x - 1
factor completely
please help
16x+12y+22
A basket contains four apples, three
peaches, and four pears. You randomly
select a piece of fruit. It is an apple or a
peach. What the probability
What is the radius of the inscribed circle of HJK?
Answer:
D) 22
Step-by-step explanation:
Since it gives you two rays just set them equal and solve for X.
6x - 14 = 3x +4
+14 +14
6x = 3x + 18
-3x -3x
3x = 18
/3 /3
x = 6
Then plug x into either one of the equations
6(6) - 14
36 - 14
22
Answer:
D. 22
Step-by-step explanation:
Henry's dinner bill is $132 the sales tax of 10% he lives at it of 15% how much will I pay in tax how much does it pay in tip what is his total bill
Answer:
$165
Step-by-step explanation:
Dinner bill = $132
Sales tax = 10% of dinner bill
Tip left = 15% of dinner bill
Amount of sales tax :
10% of $132
0.1 * $132 = $13.2
Amount of tip left :
15% * $132
0.15 * $132 = $19.8
Total bill :
Dinner cost + sales tax + tip
$132 + $13.2 + $19.8
= $165
Please help!!! (Ignore the AD it’s actually supposed to be DC)
Answer:
BD = 22, DC = 11√3
Step-by-step explanation:
In triangle ABC, ∠B = 45°, ∠C = 90°. Hence:
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
∠A + 45 + 90 = 180
∠A + 135 = 180
∠A = 45°
Using sine rule to find BC:
[tex]\frac{BC}{sinA}=\frac{AB}{sinC} \\\\\frac{BC}{sin45}=\frac{11\sqrt{2} }{sin90} \\\\BC=\frac{11\sqrt{2}*sin45 }{sin90} \\BC=11[/tex]
In triangle BCD, ∠D = 30°, ∠C = 90°. Hence:
∠D + ∠B + ∠C = 180° (sum of angles in a triangle)
∠B + 30 + 90 = 180
∠B + 120 = 180
∠B = 60°
Using sine rule to find BD:
[tex]\frac{BD}{sinC}=\frac{BC}{sinD} \\\\\frac{BD}{sin90} =\frac{11}{sin30} \\\\BD=\frac{11*sin90}{sin30}\\\\BD=22[/tex]
Using sin rule to find DC:
[tex]\frac{DC}{sinB}=\frac{BC}{sinD} \\\\\frac{DC}{sin60} =\frac{11}{sin30} \\\\DC=\frac{11*sin60}{sin30}\\\\DC=11\sqrt{3}[/tex]
If two sweaters and four shirts cost $150, and four sweaters and three shirts cost $200, find the price of each shirt and each sweater.
Answer:
shirt = $20
sweater = $35
Step-by-step explanation:
This question would be solved using simultaneous equation
Let the price of sweater be represented by a
Let the price of shirt be represented by b
The following equations can be derived from the question
2a + 4b = 150 equation 1
4a + 3b = 200 equation 2
Multiply equation 1 by 2
4a + 8b = 300 equation 3
Subtract equation 2 from 3
5b = 100
divide both sides of the equation by 5
b = 20
substitute for b in equation 1
2a + 4(20) = 150
2a + 80 = 150
collect like terms
2a = 150 - 80
2a = 70
divide both sides by 2
a = 35
Price of sweater = $35
Price of shirt = $20
Answer:
What the other guy said
Step-by-step explanation:
what is the H.C.F of 7 and 13
Answer:
Step-by-step explanation:
the factors and prime factorization of 7 and 13. The biggest common factor number is the GCF number. So the greatest common factor 7 and 13 is 1.
Find the common difference for the given sequence
1.2, 1.85, 2.5, 3.15, ...
Answer:
c)0.65
Step-by-step explanation:
Answer:
0.65
Step-by-step explanation:
1.2 + 0.65 = 1.85
1.85 + 0.65 = 2.5
2.5 + 0.65 = 3.15
And so on...
CALCULATE ANGLES USING LINE AND ANGLE RELATIONSHIPS:) will mark b for right answer
Answer:
a = 62°Step-by-step explanation:
a = 360° - (243° + 55°) = 360° - 298° = 62°Question 1 of 5
A boat leaves the dock and travels 10 miles due south, then 24 miles due
west. How far is the boat from the dock?
Dock
с
10 ml
Boat
24 mi
O A. 14 mi
O B. 34 mi
OC. 676 mi
O D. 26 mi
PREVIOUS
Answer:
hypotenuse =
[tex] \sqrt{a {}^{2} } + b {}^{2} [/tex]
=
[tex] \sqrt{} 24 {}^{2} + 10 {}^{2} [/tex]
= 26mi
solve -4x^2+3x=-5 using quadratic formula
Answer:
Step-by-step explanation:
Here, we want to solve the given quadratic equation using the quadratic formula
We need to rewrite the equation in the standard form;
-4x^2 + 3x + 5 = 0
we have the value a as -4
value b as 3
C = 5
we then substitute these values into the quadratic formula as seen in the attachment
trying to help a friend
Answer:
SAS
Step-by-step explanation:
Bro it's right
Multiply (3x-5)(x+4)
Answer:
3x^2+7x-20
Step-by-step explanation:
Answer:
expand the brackets
3x^2 + 7x -20
Step-by-step explanation:
(3x-5)(x+4)
= 3x^2 + 12x - 5x + 20
= 3x^2 + 7x + 20
ABC - DEF. What sequence of transformations will move ABC onto DEF?
Please help me!!
Answer:
it should be b i think
Step-by-step explanation:
Answer:
It was C
Step-by-step explanation:
I took the test
Which would fit with B (the one being added onto)
Answer: B: b=1/2
Step-by-step explanation: 1/4+2/4=3/4
2/4=1/2 so B or b=1/2
plz mark me brainliest
How to Mark Brainliest:
look at the bottom right of an answer there should be a crown if not look if there are 2 players if yes reload the page if no wait for someone else to answer then reload. tap the crown to mark brainliest.
8.94427191 rounded to the neareast 10th
Answer:
8.9
Step-by-step explanation:
Answer:
the answer will be 8.9 if im not wrong
PLEASE HELP ILL GIVE 5 star
Answer:
it is D hope this helps
Step-by-step explanation:
Find a solution to the equation 4(x + 7) = 38
Answer:
4(x+7)=38
4x+28=38
4x=38-28
4x=10
(divide by 4)
x=2whole number 2/4
=2whole number 1/2
or x=2.5
4. Which of these is equal to sin(70°)?
a. cos(1109)
c. cos(20°)
b. cos(160)
d. cos(709)
pls help me with this. will give brainliest
Volume is measured in cubic units.
The Pyramid is cut in half, so the ratio of the volume would be 1/2^3 units which simplifies to 1/8
The ratio is 1/8
Is this relation linear? Justify your answer.
Answer:
There is no image. Please repost.
Pls help fast stuck on the last question and it’s due soon:(
I=$200,p=$1000,r=4 years
Answer:
idt this is right..... sorry if this is wrong...
Step-by-step explanation:
I = $ 8,000.00
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 200%/100 = 2 per year,
then, solving our equation
I = 1000 × 2 × 4 = 8000
I = $ 8,000.00
The simple interest accumulated
on a principal of $ 1,000.00
at a rate of 200% per year
for 4 years is $ 8,000.00.
The recursive function LaTeX: f\left(0\right)=1,\:f\left(n\right)=f\left(n-1\right)+2nf ( 0 ) = 1 , f ( n ) = f ( n − 1 ) + 2 n represents
Question:
The recursive function [tex]f(0) = 1[/tex], [tex]f(n) = f(n-1) + 2n[/tex] represents the nth term of a sequence. Determine the explicit function
Answer:
[tex]f(n) = n^2 + n+1[/tex]
Step-by-step explanation:
Given
[tex]f(0) = 1[/tex]
[tex]f(n) = f(n-1) + 2n[/tex]
Required
Write an explicit formula
Let n = 1
[tex]f(1) = f(1-1) + 2*1[/tex]
[tex]f(1) = f(0) + 2[/tex]
[tex]f(1) = 1 + 2 = 3[/tex]
Let n = 2
[tex]f(2) = f(2-1) + 2*2[/tex]
[tex]f(2) = f(1) + 4[/tex]
[tex]f(2) = 3 + 4 = 7[/tex]
Let n =3
[tex]f(3)=f(3-1) + 2 * 3[/tex]
[tex]f(3)=f(2) + 6[/tex]
[tex]f(3)=7+ 6 = 13[/tex]
Let n = 4
[tex]f(4) = f(4 - 1) + 2 * 4[/tex]
[tex]f(4) = f(3) + 8[/tex]
[tex]f(4) = 13+ 8 = 21[/tex]
So, we have:
[tex]f(1) = 3= 1 + 2 * 1=1+0*1*2*1[/tex]
[tex]f(2) = 7= 3 + 2 * 2=1+1*2+2*2[/tex]
[tex]f(3) = 13= 7 + 2 * 3= 1+2*3+2*3[/tex]
[tex]f(4) = 21 = 13 + 2 * 4= 1+3*4 +2 *4[/tex]
Following the above pattern:
[tex]f(n) = 1 + (n - 1) * n + 2 * n[/tex]
[tex]f(n) = 1 + n(n - 1) + 2n[/tex]
Open bracket
[tex]f(n) = 1 + n^2 - n + 2n[/tex]
[tex]f(n) = 1 + n^2 + n[/tex]
[tex]f(n) = n^2 + n+1[/tex]
Elena has chosen carpet that cost 4.55 Per square foot for a regular floor that measures 12 1/2‘ x 14 1/2 how many square feet of carpet is needed to cover the floor
Answer:
181 1/4 square feet
Step-by-step explanation:
The square feet of carpet is needed to cover the floor would b equal to the area of the floor
area of a rectangle = length x breadth
12 1/2‘ x 14 1/2 = 181 1/4 square feet
Which of the following options have the same value as 72% of 50
A. 72 . 5/100
B. 72 . 50
C. 72/100 . 50
D. 0.72 . 50
E. 72/100 . 100
Answer:
c and d are the correct answers
“twice the sum of a number and 6 is more than 84”
i need to write this as an inequality.
Someone please help
Step-by-step explanation:
2x + 6 > 84
2x > 78
x > 39
is the answer
The cost of a car rental is $ per day plus per mile. You are on a daily budget of $. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions. You can drive at most nothing miles per day.
Question:
The cost of a car rental is $42 per day plus 20 cents per mile. you are on a daily budget of $98. write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. use pencil and paper. find 2 other two-step inequalities with the same solutions.
Answer:
(a) The greatest distance is 280 miles
(b) [tex]30 + 0.10 m \le 58[/tex] and [tex]5 m-400 \le 1000[/tex]
Step-by-step explanation:
Given
[tex]d = \$42[/tex] ---->daily rate
[tex]m = 20\ cents[/tex] -- amount per mile
[tex]m = \$0.20[/tex] --- in dollars
[tex]Budget = \$98[/tex]
Solving (a): Inequality for the scenario
Because you are on a budget, it means that the spending can not exceed $98 (i.e. less than or equal to $98).
So, the inequality is:
[tex]42 * days + 0.20 * miles \le Budget[/tex]
Represent days with d, miles with m and substitute 98 for Budget
[tex]42d + 0.20m \le 98[/tex]
Because it is daily, then d = 1
[tex]42 * 1+ 0.20 * m \le 98[/tex]
[tex]42+ 0.20m \le 98[/tex]
Collect like terms
[tex]0.20m \le 98 - 42[/tex]
[tex]0.20m \le 56[/tex]
[tex]m \le \frac{56}{0.20}[/tex]
[tex]m \le 280[/tex]
The greatest distance is 280 miles
Solving (b): Two other inequalities with the same solution as: [tex]m \le 280[/tex]
To do this, all you need to do is to perform the same operation on both sides of the inequality.
[tex]m \le 280[/tex]
Multiply both sides by 0.10
[tex]0.10 * m \le 280 * 0.10[/tex]
[tex]0.10 m \le 28[/tex]
Add 30 to both sides
[tex]30 + 0.10 m \le 28+30[/tex]
[tex]30 + 0.10 m \le 58[/tex] --- equation (1)
Another possible equation is as follows:
[tex]m \le 280[/tex]
Multiply both sides by 5
[tex]5 * m \le 280 * 5[/tex]
[tex]5 m \le 1400[/tex]
Subtract 400 from both sides
[tex]5 m-400 \le 1400-400[/tex]
[tex]5 m-400 \le 1000[/tex] --- equation (2)
Jim Tree sells trees. The mean length of the trees purchased was 68 inches with a standard deviation of 10 inches. Jim wants to know what percent of his sales were more than 84 inches tall. He can use the standard normal distribution to help him.
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Given value:
[tex]\to X = 84\\\\\to \mu = 68\\\\\to \sigma= 10\\\\[/tex]
Using formula:
[tex]\bold{Z= \frac{X-\mu}{\sigma}}[/tex]
[tex]= \frac{84-68}{10}\\\\ = \frac{16}{10}\\\\=1.6[/tex]
Calculating the percent of the sales which is less than or equal to 84 inches:
[tex]\to P(Z \leq 1.6)=0.9452[/tex]
[tex]= 0.9452 \times 100\\\\ =94.52\% \approx 95.5\%[/tex]
Calculating the remaining value [tex]100-94.5=5.5\%[/tex] were more than 84 inches.
A golf group planned a trip to Squaw Valley, and 104 of the members signed up to go. If this is 10% of the group, how many members does the golf group have in total?
Group of answer choices
a 1040 members
b 114 members
c 110 members
d 204 members