Answer:
[tex]c = 2\sqrt{5[/tex]
Step-by-step explanation:
Given
[tex]a = 2[/tex]
[tex]b = 4[/tex]
c = hypotenuse
Required
Find c
Using Pythagoras theorem, we have:
[tex]c^2 = a^2 + b^2[/tex]
Substitute values for a and b
[tex]c^2 = 2^2 + 4^2[/tex]
[tex]c^2 = 4 + 16[/tex]
[tex]c^2 = 20[/tex]
Take square roots of both sides:
[tex]c = \sqrt{20[/tex]
Express 20 as 4 * 5
[tex]c = \sqrt{4 * 5[/tex]
Split surd
[tex]c = \sqrt{4} * \sqrt{5[/tex]
Take square root of 4
[tex]c = 2 * \sqrt{5[/tex]
[tex]c = 2\sqrt{5[/tex]
Ken gets injured and has to slow the pace he walks. The equation for his new plan is y = -200x +2400 where y is the number of calories left to burn and x is the hours Ken walks. When will ken have 600 calories left to burn.
Answer:
x=9
Step-by-step explanation:
600=-200x + 2400
-2400
-200x = -1800
x = 9
How can you multiply positive and negative fractions?
Step-by-step explanation:
When you multiply a fraction by another fraction or a fraction by a whole number, the rules of fractions dictate the form of the answer. If at least one of the values is negative, you also use the rules for positive and negative signs to determine if the result is positive or negative.
A horticulturist wants to improve the soil quality in a garden by adding 120 pounds of nitrogen and 54 pounds of potassium. A pack of organic fertilizer contains 2 pounds of nitrogen and 3 pounds of potassium, and a pack of inorganic fertilizer contains 6 pounds of nitrogen and 2 pounds of potassium. How many packs of each type of fertilizer does the horticulturalist need to use? (Hint Write an equation for the total amount of nitrogen (120 pounds) obtained by adding the packs of both the fertilizers and another equation for the total amount of potassium (54 pounds) obtained by adding the packs of both the fertilizers.)
A organic fertilizer: 24 packs; inorganic fertilizer: 12 packs
B. organic fertilizer: 14 packs; inorganic fertilizer: 6 packs
C organic fertilizer: 15 packs; inorganic fertilizer: 8 packs
D. organic fertilizer: 9 packs; inorganic fertilizer: 17 packs
Е. organic fertilizer: 6 packs; inorganic fertilizer: 18 packs
x and y are the packs of organic and inorganic fertilizer, respectively.
pounds of nitrogen added = 2x + 6y = 120
pounds of potassium added = 3x + 2y = 54
eliminate the y terms. subtract the first equation from 3 times the second equation.
9x + 6y = 162
-2x - 6y = -120
------------------
7x = 42
x = 6
y = 18
find the slope of the line that would be parallel to the given original line 3x+y=10
Select the locations on the number line to plot the points 9/2 and −7/2.
Answer:To plot these points on the number line, you should label the long lines on the number line as such starting from the left (-5-already there, -4,-3,-2,-1,0,1,2,3,4,5-already there).
Now take each number and convert the improper fraction into a mixed number. 9/2 = 4 1/2 and -7/2 = -3 1/2.
4 1/2 would plotted on the line exactly in between the 4 and 5.
-3 1/2 would be plotted on the line exactly halfway between -3 and -4.
You will draw a dot to show each of these positions on a number line.
Step-by-step explanation:
hope it helps
Dec 18, 11:45:23 AM
Angle A and Angle Bare complementary angles. If m angle A = (4x – 28)° and m
Angle B= (x - 2)°, then find the measure of angle A.
Submit Answer
Answer:
Answer: 68*
Step-by-step explanation: In pic
A linear sequence starts
250 246 242
Which term is the first to have a negative value?
Step-by-step explanation:
250 - 246 = 4
246 - 242 = 4
Since 250 is 2(mod 4), the negative value term is -2.
please help i will give Brainliest
7.4 = -t/8.5
t = ?
Answer:
-62.9
Step-by-step explanation:
7.4= [tex]\frac{-t}{8.5}[/tex]
8.5 (7.4)=-t
62.9=-t
t=-62.9
I’ll mark you brainlist help
This is the answer
y = -4x - 2
Work: The line crosses the y-axis at -2 making this the y-intercept. To find the slope, you need to take two points from the graph (you already have (0,-2) from the intercept) and put them in the equation:
y(sub 2) - y(sub 1) all over x (sub 2) over x (sub 1). Sub 1 and two just means the order of the points. so if you took the points (-1,2) and (0,-2), the equation would look like:
(-2-2)/(0-(-1)). This gives you -4/1 which is equal to -4. So now you have your y intercept (-2) and your slope (-4) so you put it into slope - intercept form:
y=mx + b where m is slope and b is y-intercept
Answer:
The answer to your question is -4x -2
Step-by-step explanation:
Hope I helped have a wonderful day! Plz dollow me! ;) Happy Holidays!!! Bye!/
Which of these processes are chemical reactions? Select ALL correct answers
boiling an egg
crushing spices
vegetables rotting
chopping vegetables
dew forming
Answer:
boiling en egg
veg rotting
dew forming
Step-by-step explanation:
just remember
rotting is ALWAYS a chem reaction
Answer:
boiling an egg and vegetables rotting
What is the slope of this line?
Points on this line include (1,3) (2,6) and (3,9). Number only. Just write the slope in simplest form.
please help!! I NEED IT VERY BADLY
Answer:
3/4
Step-by-step explanation:
tan A =opposite/adjacent = 6/8 =3/4
Hope this helps
Have a good day
3. If you look at the number of soldiers that died during the battle, which was
approximately 612 using the graph above, and the fact that the battle lasted only 15
minutes, how many people died per minute?
Answer:
Approximately 10 died every minute with a remainder of 12
Step-by-step explanation:
I divided 60 seconds by 612 because 60 seconds is one minute and i got 10 remainder 12
Graph the line with the equation y=-1/2x+1
Step-by-step explanation:
it depends how far you want to take the equation
Help MEE!! what is the answer please
Answer:
v=12500-2500h
Step-by-step explanation:
Ok so to create this equation all you need to do is look at what information is given. You start with 12500 gallons of water so we know our equation is going to have 12500 in it.
So far our equation would look like this v=12500
The next information we are given is that it is decreasing by 2500 every hour so we know that we are going to be subtracting 2500 based on how many hours have went by so our equation would then look like this.
v=12500-2500h
we can check this by plugging in some numbers to see if it works. So at Zero hours we should still be at 12500
v=12500-2500(0)
v=12500
Ok so we know that it works for zero, but we should check at least one more number. We know that after 3 hours we would of lost 7500 gallons of water so it should equal 12500-7500=5000 gallons. Lets check this in our equation
v=12500-2500(3)
v=12500-7500
v=5000 Gallons
Help please i dont get thiss
Answer:
4/6
Step-by-step explanation:
just keep in multiplying the fraction upp and down
It took the Hendersons 6 1/4 hours to
travel 325 miles.
At this rate, how many miles could they
travel in one hour?
Answer:
52 miles
Step-by-step explanation:
They drive 325 miles in 6 1/4 hours. Convert 6 1/4 to 6.25 and divide. 325/6.25= 52 mph
Find the value of x (Round to the nearest tenth) **Hint: Find the length
of the dotted line first***
Helppp!!!!!!!
Answer:
Length equal 12
Step-by-step explanation:
16^2+b^2=20^2
256+b^2=400 (subtract 256 on both sides)
b^2=144 (square root)
b=12
Please help on these
Answer:
x should be 11
Step-by-step explanation:
What we know:
The angles shown are 13x + 12, and 2x + 3
The two angles are complementary, which means they equal 180 degrees.
(13x + 12) + (2x + 3) = 180
15x + 15 = 180
15x = 180 - 15
15x = 165
x = 11
please help!! question in picture
Jodi bought a new sofa for $1,430, including finance charge. She made down payment of $130 and paid off the balance in 18 months at $80 per month. Find the amount of the finance charge.
Derek needs 2 gallons water to mix a sport drink , but he only has a 1 cup measuring cup.
Answer:
He can fill up his fill up his measuring cup 8 times that is pretty simple
Step-by-step example
4 cups is in one gallon
Luis uses 1.6 liters of gasoline each hour he spends mowing lawns. How much gas does he use in 5.8 hours?
can someone please help me? I'm really not a fan of the subject math, and I'm currently struggling and my math grade isn't good at the moment AND grade book closes next week friday :(
Answer:
9.28 liters
Step-by-step explanation:
The unit rate is 1.6 liters per hour.
You multiply it by the number of hours
1.6 x 5.8 = 9.28
Answer:
9.28.
Step-by-step explanation:
We're trying to find out how much gas Luis uses in 5.8 hours. It states that Luis uses 1.6 liters of gasoline EACH HOUR. So, we just multiply 1.6 and 5.8.
write the equation of the horizontal line that goes through (-5,7)
Answer:
The equation would be y=7
Point A is located at the coordinates (-2, 4). Are the x- and y-coordinates
positive or negative?
Answer: positive
Step-by-step explanation: because the bigger number is always going to be the answer
A new cell phone costs $625. Its sale price is $500. What's the percent of decrease?
Answer:
20 percent
Step-by-step explanation:
I need points!!!
500/625 = the percent of original
100 - percent of original = answer
What algebraic expression will I put for the drawing above?
Bunny works as a furniture salesperson and earns a base salary of $400 per week plus 5.5%n commission on sales. What was bunny's weekly gross salary if her total sales was $3300
Answer:
4x67€hus de tus nos cos
SOMEONE HELP!!!! Garrett must inspect a bridge that goes over a river. He begins 18 feet above water level to inspect the lighting, descends 32 feet to inspect the base of the bridge underwater, then descends another 4 feet to check on the concrete anchoring the base. Which best represents Garrett’s position with respect to the water level?
–54 feet
–30 feet
–18 feet
–10 feet
Answer:
-18 feet
Step-by-step explanation:
18-32-4
18-36= -18
Answer:
–18 feet
Step-by-step explanation:
Given: Garrett begins 18 feet above water level to inspect the lighting, descends 32 feet to inspect the base of the bridge underwater, then descends another 4 feet to check on the concrete anchoring the base.
I need help with my homework this is hard pls help thx!
z=m-x solve for x
Answer:
x = m - z
Step-by-step explanation:
z = m - x add x to both sides
z + x = m - x + x
z + x = m subtract z from both sides
z - z + x = m - z
x = m - z
Answer:
-z + m = x
Step-by-step explanation:
z = m-x
subtract the m from both sides
z-m = -x
you can't have a negative x so multiply everything by -1
-1(z-m = -x)
-z + m = x