Answer:
The equation of the line is y = [tex]\frac{4}{3}[/tex] x + 2
Step-by-step explanation:
The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where
m is the slope of the line whose rule is [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)Let us solve the question:
∵ The line passes through the points (-3, -2) and (3, 6)
∴ x1 = -3 and x2 = 3
∴ y1 = -2 and y2 = 6
→ Use the rule of m to find it
∵ [tex]m=\frac{6-(-2)}{3-(-3)}=\frac{6+2}{3+3}=\frac{8}{6}[/tex]
→ Simplify it by dividing up and down by 2
∴ m = [tex]\frac{4}{3}[/tex]
→ Substitute its value in the form of the equation above
∴ y = [tex]\frac{4}{3}[/tex] x + b
→ To find b substitute x and y by x1 and y1
∴ -2 = [tex]\frac{4}{3}[/tex] (-3) + b
∴ -2 = -4 + b
→ Add 4 to both sides
∴ -2 + 4 = -4 + 4 + b
∴ 2 = b
→ Substitute it in the form of the equation
∴ y = [tex]\frac{4}{3}[/tex] x + 2
∴ The equation of the line is y = [tex]\frac{4}{3}[/tex] x + 2
What does it mean by "interpret its meaning"? I underlined it for you guys.
Perimeter is a measure of the distance around a figure. If each side of a triangle measures 0.75 inches, what is the perimeter of the triangle?
Answer:
The perimeter of a triangle is the sum of all its three sides.
So,
0.75+0.75+0.75 = 2.25inches
The ratio of boys to girls at a movie is 4:7. If there are 21. girls, how many boys are
at the movie?
Answer:
12
Step-by-step explanation:
7*3=21 so 4*3=12
factor the equation 25x^2+70x+49
Answer:
(5x+7)^2hope this helps
Mr. Brooks has $14.20 in his checking account, he uses
his debit card to buy four Sonic meal deals for $4.25 each. His
bank charges him a $20 overdraft fee for insufficient funds.
What is the new balance in Mr. Brooks’ checking account?
Answer:
-$22.80.
Step-by-step explanation:
The 4 meals cost 4.25 * 4 = $17 which gives him a new balance of
14.20 - 17 -20
= -$22.80.
18 lb 3 oz + 25 lb 5 oz
(Have the answer as lbs and oz not a decimal)
Answer:
43lb 8oz
Step-by-step explanation:
add 18lb and 25lb which makes 43lb
and then add the oz of 3oz and 5oz which makes 8oz
Find the sale price:
Original price of concert tickets: $123.79
Discount: 20%
Answer:
$99.03
Step-by-step explanation:
Working simultaneously, four fudge machines complete a big order in 32 hours. All the machines at the fudge factory work at the same pace. a If only half of the machines are working, in how many hours will the order be complete?
If only half the machines are working at the same rate as before, the order will be finished in 64 hours.
When the four big fridges were working simultaneously, they were able to finish the order in 32 hours.
With only half of these fridges, they will only be half as fast. This means that they will complete the order in double the time:
= 32 x 2
= 64 hours
In conclusion, the order will be completed in 64 hours.
Find out more at https://brainly.com/question/19465480.
Find the difference 3.4-(-1.5)
Answer:
4.9
Step-by-step explanation:
-×-=+
; 3.4 + 1.5=
4.9
Write and solve an equation to determine the width w
of the flag.
Sean was at batting practice. He swung 25 times but only hit the ball 15 times. Write the simplified ratio for how many times Sean swung the bat compared to how many times he hit the ball.
Answer:
25:15
Step-by-step explanation:
YOU WILL GET BRAINLIES, LIKE AND COMMENT AND 10 POINTS IF YOU CAN PLEASE HELP ME BECAUSE NO ONE IS ANSWEING!
1- A kite has a width to length ratio of 4:5. If the length is 80 cm, what is the width? *
2- Which bottle of juice is the better buy? *
$1.00 for 150 mL
$1.75 for 500 mL
$4.00 for 1000 mL
$7.25 for 2000mL
3- Maya works in a clothing store and earns a commission of 3% on all her sales. If she sells $950 worth of clothing, what is her commission? *
$285
$138.50
$30
$28.50
3- A box of pancake mix suggests using 250 mL of milk and 325 mL of pancake mix. Rita has only 225 mL of pancake mix left in the box. How much milk should she use?
100 mL
125 mL
150 mL
175 mL
4- Of the 1120 spectators at a hockey game, about 80% are home team fans. How many of the spectators are fans of the visiting team?
918
896
224
202
1. A kite has a width to length ratio of 4:5, so let the width be 4x and the length be 5x. We know that the length is 80 cm. 80 = 5x
Divide by 5.
16 = x.
Now, the width is 4x.
16 times 4 is 64.
The width is 64.
2. Find the unit rate for each juice. The unit rate is ml / dollar.
The first juice has a unit rate of 150 / 1.
The second has a unit rate of 500 / 1.75.
The third has a rate of 1000 / 4.
The fourth has a rate of 2000 / 7.25
Put all values into a calculator. (First: 150, Second: 285.714285, Third: 250, Fourth: 275.862068966)
Whichever one can buy the most ml for a dollar is the best buy.
In here, that is the SECOND rate, which is 1.75 for 500 ml.
She earns 3% commission on all her sales, so if s represents her sales, she'd earn .03s. Inhere, she sells $950 in total. That is her total sales.
So you plug $950 into the equation as s.
.03 (950) = 28.5
She earned $28.50.
Poor Maya!
3. You set it up in ratios. She needs 250 mL of milk for every 325 mL of pancake mix. 250 milk / 325 mix.
But she only has 225 mix.
So you set up 250 milk / 325 mix = M milk / 225 mix
As in all proportions, you cross multiply.
250 x 225 = 325 x M
56250 = 325M
Divide by 325 on both sides.
173.076923077 = M
She needs about 175 mL. The fourth choice.
4. There are a total of 1120 spectators, made of only home team fans and visiting team fans.
There is a total of 100% of people, and 80% are supporters of the home team, so to find the supporters of the visiting team you subtract 100% by 80%.
100 - 80 = 20.
So 20% of the spectators are supporters of visiting team. Now 20% of the total, and 20% = .20.
.20 x 1120 = 224
224 people are fans of the visiting team.
5. A 500-mL bottle of insect repellent has 22 mg of DEET, a chemical used to keep mosquitos away. The same insect repellent sells in 710-mL bottles. Which of the following proportions can be used to find the amount of DEET in the larger bottle? *
If a 500 mL bottle has 22mg of DEET, then 500ml / 22mg
So set up the equation 500 / 22 = 710 / x
Now, cross multiply.
500x = 710 times 22.
500x = 15620
Divide by 500.
x = 31.24
Other possible proportions are:
22 / x = 500 / 710
x / 22 = 710 / 500
22 / 500 = x / 710
Hope this helps and hope I get Brainliest! Lol :)
I spent half an hour explaining and typing this :(
which expression would be easier to simplify if you use the associative property to change the grouping.
Answer:
the answer is D (27 + 4.5 ) + 1.5
Hope that helps
Answer:
Amswer is A
Step-by-step explanation:
PLEASEEE HURRYYY -WILL MARK BRAINLIEST
please solve for both X and Y I will mark u BRAINLIEST if you do it fastttt
Answer:
Y=112 x=45
Step-by-step explanation:
y+68=180
so 180-68=112
y=112
y+(4x-2)+30=180
112+(4x-2)+30=180
140+4x=180
-140 to both sides
4x=180
divide by 4 to both sides
x=45
Which of these terms does not describe polygon A’B’C’D?
A. Rotation
B. Transformation
C. Reflection
D. Image
The terms that does not describe polygon A’B’C’D should be considered as the option c. reflection.
What is reflection?In terms of geometry, a reflection should be known as the flip, It should be considered as the mirror image of the shape. The image should reflect via the line that we called as the reflection line.
When it should be at reflection so each and every point in the figure should be equidistant with respect to the another figure.
hence, The terms that does not describe polygon A’B’C’D should be considered as the option c. reflection.
Learn more about polygon here: https://brainly.com/question/24452286
find the slope of a line that passes through the points -2,3 and 4,-3
Answer:
-1
Step-by-step explanation:
y1 - y2
_____
x1 - x2
6
__
-6
6÷ -6= -1
10 4 4) Maureen has spent 12 9/10hours tutoring students in math and 6 3/4 tutoring students in science, Which choice is the best estimate for how many hours Maureen has spent tutoring?
(A) 15 hours
(C) 20 hours
(B)25 hours
(D) 30 hours
Answer:
(C) 20 Hours
Step-by-step explanation:
- Heidi bought an 18 ounce bottle of Castor Oil. If each dose is ounce, how many doses are
in the bottle?
Answer:
18 doses
Step-by-step explanation:
Since it says each dose is a ounce.
Solve the inequality and complete a line graph representing the solution. In a minimum of two sentences, describe the solution and the line graph.
8 ≥ 3x + 5
Care to help please!!
Answer:
M= the slope or the gradient
B= the y-intercept
y= the output value
x= the input value
Step-by-step explanation:
Answer:
m = 2
b = 8
y = 2x+8
If f(x)=x+12 and g(x)=x−5, find f(x)⋅g(x).
A) x^2+17x−60
B) x^2−7x+60
C) x^2+7x−60
D) x^2+7x−7
Answer:
C
Step-by-step explanation:
f(x).g(x) is
(x+12).(x-5)=x^2-5x+12x-60(add like terms)
=x^2+7x-60, the answer is C
DIG DEEPER At a restaurant, when a customer buys 4 pretzels, the fifth pretzel is free. Soft pretzels cost $3.90 each. You order 12
soft pretzels. What is your mean cost per pretzel?
The mean cost is $
per pretzel.
is 16π rational or irrational
Answer:
The square root of 16 is a rational number. The square root of 16 is 4, an integer.
Answer:
it is irrational
Step-by-step explanation:
but since the digits in π (pi) never end and never recur, there are no numbers to which is can be simplified that would allow for it to be written as a fraction. Therefore it is an irrational number.Mar 14, 2017
Find the distance between the two points rounding to the nearest tenth (if necessary).
(7,-3) and (1,3)
Answer:
8.49
Step-by-step explanation:
Posted in the image due to lack of proper format.
Adrienne and Suki simplified the expression –8 – (–6). Whose answer is correct? Explain where the error was made. The image is below. * 1 point Suki's; Adrienne subtracted 6 instead of subtracting –6. Suki's; Adrienne subtracted 8 instead of subtracting –8. Adrienne's; Suki added 6 instead of subtracting –6. Adrienne's; Suki added 8 instead of subtracting 8.
Answer:
The answer is -2
Step-by-step explanation:
When you subtract a negative with a negative, you change the problem to an addition by adding the negative number to a positive. -8--6 would look like -8+6.
someone help me im gonna fail science plsfjidkl
Answer:
it is either 23 or 24 its kinda hard to tell.
Step-by-step explanation:
Answer:
15 degrees
Step-by-step explanation:
I need some help please...
Answer:
option 3: 2x²+22xy
Step-by-step explanation:
perimeter of an rectangle = 2(l+b)
= 2{(3x²+5xy)+(6xy–2x²)
= 2(x² +11xy)
= 2x²+22xy
Kayla paid $27.50 for a pair of gloves. The cost of the gloves is $8.75 more than the cost of a scarf. Which equation can be used to find the cost of the scarf?
Answer:
You can use subtraction
Step-by-step explanation:
$27.50 - $8.75 = $18.75 (cost of scarf)
-----------------------------------------------------------------------
the gloves cost 27.50 dollars and if the scarf cost 8.75 dollrs more then that means that if we subtract that extra mount we should get the price of the scarf
if $18.75 is the cost of scarf and if gloves are $8.75 more then...
$18.75 (scarf) + $8.75 (extra $) = $27.50 (gloves)
5 (x +2)= 11 can someone please tell me what X equals with an explanation i judt dont get math i thought i did but i dont
Answer:
x = .1
Step-by-step explanation:
Multiply 5 times x and 5 times 2
You end up with this: 10x + 10 = 11
Then, subtract 10 on each side so you would get 10x = 1
Finally, divide 10 into 1 to get your answer of x = .1
what is 5 and one half minus three and one third?
Answer:
1 2/3
Step-by-step explanation:
5 1/2 = 11/2 x 3 = 33/6
3 1/3 = 10/3 x 2 = 20/6
30 - 20 = 10/6 = 1 4/6 = 1 2/3
Answer: 2 1/6
Step-by-step explanation:
5 1/2 - 3 1/3
=
5 3/6 - 3 2/6
=
5 - 3 = 2
3/6 - 2/6 = 1/6
= 2 1/6