Answer:
[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]
Step-by-step explanation:
The point-slope form of an equation for a line is y = mx + b (m is the slope; b is the y-intercept).
First, find the slope using the two given points.
[tex]m=\frac{y_2 - y_1}{x_2-x_1}=\frac{3-0}{4-(-5)}=\frac{3}{9}=\frac{1}{3}[/tex]
At this stage, you know the slope and need to find the y-intercept. Plug in one of the points (either one) into the equation. Let's use (-5, 0).
[tex]y=\frac{1}{3}x+b\\0=\frac{1}{3}(-5)+b\\0=-\frac{5}{3}+b\\\frac{5}{3}=b[/tex]
The equation for the line is [tex]y=\frac{1}{3}x+\frac{5}{3}[/tex].
You can check for errors by putting in the point you didn't use...
Check to make sure the point (4, 3) satisfies the equation.
[tex]3=\frac{1}{3}(4)+\frac{5}{3}\\3=\frac{4}{3}+\frac{5}{3}\\3=\frac{9}{3}[/tex] True!
2. A football is kicked in the air and its height, in metres, is given by the function h(t)=−4.9t^2+19.6t+1 , where t is measured in seconds.
a) determine the time it took to reach the maximum height
b) determine the maximum height of the ball
Answer:
27
Step-by-step explanation:
Chi is planning to put a path of paving stones through her flower garden. The flower garden is a square with sides of 15 feet. How many feet long will the path be? Round your answer to one decimal place.
[(15×2)+(15×2)]=60=6.0
PLEASE HELPPP ASAPP!!
Combine and simplify the following radical expression.
After demonstrating the procedure by algebraic means, the expression [tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] is equivalent to [tex]6\cdot \sqrt[3]{24}[/tex].
In this question we proceed to simplify [tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] by algebraic means into a single radical expression when possible, whose procedure is shown below and explained by appropriate definitions and theorems:
[tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] Given. [tex](2\cdot 3) \cdot (\sqrt[3]{12} \cdot \sqrt[3]{2} )[/tex] Commutative property/ Associative property. [tex]6\cdot \sqrt[3]{24}[/tex] Definition of cubic root/[tex]\sqrt[n]{a} = \sqrt[n]{b}[/tex]/ResultAfter demonstrating the procedure by algebraic means, the expression [tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] is equivalent to [tex]6\cdot \sqrt[3]{24}[/tex].
To learn more on radical expressions, we kindly invite to check this verified question: https://brainly.com/question/1810591
An average 1-year-old baby boy weighs around 9.6 kilograms. Convert this
weight into ounces.
Answer:
338.63 ounces
Step-by-step explanation:
1=35.274
35.274 times 9.6 is 338.6304
How many servings are there in an 8-pound roast, if the suggested
serving is 2/3 pound?
half of the sum of six and three then divided by 7
Answer:
45/70
Step-by-step explanation:
easy though thats it
Able Johnson wants to buy a whole life policy with a face value of $250,000. He is 40 years old, and the premium fee for his age is $19.50 per
$1,000 unit of face value. What is his annual premium?
Answer:
19.65 cnets
Step-by-step explanation:
tom measured his frisbee from the center to the outside and found it to be 6 inches what is the approximate circumference of tom frisbee
Answer: 37.68 inches
A frisbee is round so its a circle. And the formula of circumference of a circle is 2πr (r = 6 inches and π = 3.14)
So, 2πr = 2 * 3.14 * 6
2πr = 37.68 inches
are the fractions 4/5 and 8/12 equality
Answer:
NO because 5 doesn't have any factors of 12 but only 4 has a factor of 8. So 4/5 would be greater but no they would not be equal
Step-by-step explanation:
Does anyone have the answers to Basic derivative rules: table on khan academy?
Answer:
The following table lists the value of functions ggg and hhh, and of their derivatives, g'g
′
g, prime and h'h
′
h, prime, for x=3x=3x, equals, 3.
xxx g(x)g(x)g, left parenthesis, x, right parenthesis h(x)h(x)h, left parenthesis, x, right parenthesis g'(x)g
′
(x)g, prime, left parenthesis, x, right parenthesis h'(x)h
′
(x)h, prime, left parenthesis, x, right parenthesis
333 ~~9 9space, space, 9 ~~~0 0space, space, space, 0 -15−15minus, 15 ~~~6 6space, space, space, 6
Let function GGG be defined as G(x)=2g(x)-h(x)+8G(x)=2g(x)−h(x)+8G, left parenthesis, x, right parenthesis, equals, 2, g, left parenthesis, x, right parenthesis, minus, h, left parenthesis, x, right parenthesis, plus, 8.
G'(3)=G
′
(3)=G, prime, left parenthesis, 3, right parenthesis, equals
Step-by-step explanation:
The point (5, -3) is a solution to which system?
A.
y = x - 8
2x + y = 7
B.
y = x + 5
y = x - 3
C.
y = x - 5
y = x + 3
D.
y = x - 8
-2x + y = 7
Answer:
A
Step-by-step explanation:
Did the test
You have a Right Triangle with side lengths of 9ft and 12ft; solve for its perimeter and area.
Step-by-step explanation:
of course, we have to use Pythagoras.
c² = a² + b²
c is the Hypotenuse = the side opposite of the 90° angle.
and here is the problem : are 9 and 12 the legs. or is one of them the Hypotenuse ?
I don't know from the description.
let's see what we get one way or the other :
assumption : the known sides are the "legs".
c² = 9² + 12² = 81 + 144 = 225
c = 15 ft
that is a nice number. so, it looks like that was the intention.
just to be sure, here also the other options :
9² = 12² + side²
81 = 144 + side² that makes side² negative, so, not valid.
12² = 9² + side²
144 = 81 + side²
63 = side²
side = sqrt(63) this is not a nice round number, so, we go with the first option.
therefore, the 3 sides are
9 ft, 12 ft, 15 ft
perimeter = 9+12+15 = 36 ft
area = baseline×height/2
since this is a right-angled triangle, the "legs" with the enclosed 90° angle serve as baseline and height.
area = 9×12/2 = 9×6 = 54 ft²
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 8 liters of natural oil for every 5 liters of synthetic oil.
In order to make 1196 liters of Petrolyn oil, how many liters of natural oil are needed?
Answer:
it would need 40 liters of natural oil
8x5=40
Answer as soon as possible I’ll give 5 stars!!!
Answer:
B
Step-by-step explanation:
2 times x is 2x
2*8=16
its B
Hey there!
2(x + 8)
DISTRIBUTE 2 WITHIN THE PARENTHESES
= 2(x) + 2(8)
= 2x + 16
Therefore, your answer should be: 2x + 16
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
It took Corinne 3 hours to do 12 pages of homework. How many pages of homework did she do per hour?
Answer: Check explanation.
Step-by-step explanation: If Corinne did 12 pages in 3 hours, then for each hour we have 12 by 3. We get 4, which means that every 1 hour she does 4 pages of homework. Hope this helped!
I’m confused with this question I need helppp please
It's the first one
I hope this help :)
Answer:
B. I and II
More Information:Function :
A special relationship where each input has a single output.
2. A bakery makes muffins and cookies. Muffins are sold 18 to a box and cookies are sold 25 to a bag. They do not sell individual muffins or cookies. (a) On Saturday, the bakery made 1020 muffins. How many full boxes did the bakery use for the muffins they plan to sell on Saturday? Show your work. (b) On Monday, the bakery made 2820 cookies. How many full bags did the bakery use for the cookies they plan to sell on Monday? Show your work. (c) Look at your work from Part (a) and (b). What do the remainders represent in each problem?
11. Select the proper order from least to greatest for 2/3, 7/6, 1/8, 9/10.
O A.1/8, 2/3, 9/10, 7/6
O B.2/3, 9/10, 7/6, 1/8
O C.7/6,9/10, 2/3, 1/8
O D. 1/8, 9/10, 7/6, 2/3
Step-by-step explanation:
Option A is the correct answer
Answer:
A is correct
Step-by-step explanation:
[tex]\frac{1}{8}[/tex] is 0.125
[tex]\frac{2}{3}[/tex] is 0.667
[tex]\frac{9}{10}[/tex] is 0.9
[tex]\frac{7}{6}[/tex] is 1.167
which from this you can see that A represents the order from smallest to largest
Ignore the blue circles but please help solve! PLSS
Answer:
y = 47, -25 , 15 , -33 -9
Step-by-step explanation:
You have to plug the x variables into your equation, then solve for y.
Brainliest would be appreciated! :-)
The ordered pair (-3,9) is in the _______ Quadrant
Answer:
It would be located in the second quadrant
Step-by-step explanation:
The reason for this is because the x is a negative and the y is positive.
whats 3-6h if h = -1
Answer:
9
Step-by-step explanation:
First, you input -1
6(-1)=-6
3-(-6) is the same as 3+6
The answer is 9
whats -3u + 5 if u=2
Answer:
-1
Step-by-step explanation:
-3(2) = -6 + 5 = -1
Answer:
-1
Step-by-step explanation:
-3u + 5 =?
when u=2
= -3(2) + 5
= -6 + 5
= -1
Write the missing numbers to find 154÷11
Answer:
14
Step-by-step explanation:
154/11 = 14
(✿◡‿◡) HAPPY HOLIDAYS!!! <3
please help me ill mark as brainliest and its worth 50
Answer:
C [tex] \dfrac{9a^{12}}{b^3} [/tex]
Step-by-step explanation:
54/6 = 9
a^8 / a^-4 = a^{8 - (-4)} = a^12
b^2 / b^5 = b^-3 = 1/b^3
Answer: C [tex] \dfrac{9a^{12}}{b^3} [/tex]
Answer:
Option C
Step-by-step explanation:
[tex] \sf \dfrac{54 {a}^{8} {b}^{2} }{6 {a}^{ - 4} {b}^{5} } [/tex]
We know that
[tex] \sf \: \frac{ {a}^{m} }{a {}^{n} } = a {}^{m - n} [/tex]
[tex] \sf 9 \dfrac{a {}^{8} {b}^{2} }{ {a}^{ - 4} {b}^{5} } [/tex]
[tex] \sf \: 9 \dfrac{ {a}^{8 - ( - 4)} b {}^{(2 - 5)} }{1} [/tex]
[tex] \sf \: 9 \dfrac{ {a}^{12}b {}^{ - 3} }{1} [/tex]
[tex] \sf \: \dfrac{9 {a}^{12} }{ {b}^{3} } [/tex]
The sequence, 20, 27, 34, 41, 48... represents the number of NEED HELP ASAPPPPP!!!strawberries Sandy picked from her garden
last week, starting with the first day of the week.
(a) What is the recursive formula for the sequence?
(b) What is the explicit formula for the sequence?
(c) How many strawberries will Sandy pick on the tenth day?
Answer:
Either (c) or (a), (B also looks like a good answer, but I'd go for c)
Step-by-step explanation:
If I'm inincorrect, I apologize!
Emma runs 12 miles in 5 hours. How many miles can Emma run per hour?
Answer:
2.4 miles per hour
Explanation:
Since you ran 12 miles in 5 hours, you have to divide 12 by 5 to get the total amount of miles for 1 hour.
write an expression that shows 9 less than the product of 11 and 3.5
try this for answer (11×3.5)-9=x
Number 8 Please!!!!!
Thank You!!!
Answer:
x = 2 + 5i√2 / 6 and x = 2 - 5i√2 / 6
Step-by-step explanation:
If this isn't right, I'm sorry. Also, you can put x = 2 ± 5i√2 /6 to make it shorter and not have two answers. Hope this helps :)
After the math contest, Basil noticed that there were four extra-large pizzas that were left untouched. In addition, another three slices of pizza were uneaten. If there were a total of 51 slices of pizza left, how many slices does an extra-large pizza have
s = number of slices for a large pizza
so if "s" is the number of slices in 1 large pizza, the total for 1 pizza will just be 1s, for two pizzas will be 2s and so on, so for 4 pizzas the total will just be 4s.
we also know there were an extra 3 slices, and we also know that whatever 4s is plus 3 will give us the total of 51 slices of pizza.
[tex]4s + 3 = 51\implies 4s = 48\implies s = \cfrac{48}{4}\implies \boxed{s = 12}[/tex]
Cost 500 charge 25 per unit
Answer:
20 units
Step-by-step explanation:
Because it is 25 per unit, and 500, you can do 500/25=20
