1. Simplify 0.24 x 14.3 to 3.432.
= 3.432 ÷ 5.2
2. Simplify 3.432 ÷ 5.2 to 0.66.
= 0.66
how many dimes equal the value of 6 quarters.show you step
Answer:
the answer to this complicated problem is 25
Answer:
15 dimes
Step-by-step explanation:
6 quarters= $1.50
$1.50 divided by 10 cents= 15 dimes
Hey i need help finding the orthocenter for the following points, please show the steps you used. thanks
(-3, 0.5)
(3,3)
(2,-1)
9514 1404 393
Answer:
(81/43, -31/43) ≈ (1.884, -0.7209)
Step-by-step explanation:
The orthocenter is the intersection point of the altitudes of the triangle. Since this is not a right triangle, you need to find the equations of the altitude lines, then find where those intersect.
If we call the points A, B, C in the order given, the attached figure shows the altitude lines from B perpendicular to AC, and from C perpendicular to AB.
We can find the equation of the perpendicular line using the form ...
∆x·x +∆y·y = c
where ∆x and ∆y are the differences in coordinates between the points on the "side" and the value of constant 'c' is determined by evaluating the expression using x and y as the coordinates of the opposite vertex.
__
For line AC, we have ...
(∆x, ∆y) = C - A = (2, -1) -(-3, 0.5) = (2+3, -1-0.5) = (5, -1.5)
Then the equation of the first altitude line is ...
5x -1.5y = 6(3) -1.5(3) = 10.5
Multiplying by 2 puts this in standard form:
10x -3y = 21
__
For line AB, we have ...
(∆x, ∆y) = B - A = (3, 3) -(-3, 0.5) = (3+3, 3-0.5) = (6, 2.5)
Then the equation of the second altitude line is ...
6x +2.5y = 6(2) +2.5(-1) = 9.5
Multiplying by 2 puts this in standard form:
12x +5y = 19
__
Then the orthocenter is the solution to the system of equations ...
10x -3y -21 = 0
12x +5y -19 = 0
This set of equations can be solved a number of ways. One is the "cross-multiplication" method.
1/(10·5 -12·(-3)) = x/(-3·(-19) -5·(-21)) = y/(-21(12) -(-19)(10))
x = 162/86 = 81/43
y = -62/86 = -31/43
The orthocenter is (81/43, -31/43) ≈ (1.884, -0.7209).
_____
Additional comment
The "cross multiply method" is based on cross products when the equations are written in standard form:
ax +by +c = 0
dx +ey +g = 0
Usually, the coefficients are written in two rows of four, with the first column repeated at the end:
a b c a
d e g d
Then cross products are formed, where diagonal down is positive and diagonal up is subtracted from that:
p1 = (ae -db), p2 = (bg -ec), p3 = (cd -ga)
These give the solution to the equations when put in the form ...
1/p1 = x/p2 = y/p3 ⇒ x = p2/p1 and y = p3/p1
If you look at videos of this "cross multiply method," they will put the 1/p1 at the end of the string of equalities, and they will use the coefficients in the order starting with b instead of a. I find the arrangement here easier to remember, so less likely to get confused.
Further comment
You can, of course, find the slopes of the lines, and their opposite reciprocals, then use a point-slope form or some other method for writing the equations of the altitude lines. The solution to the equations can proceed by substitution or elimination. No doubt these methods are somewhat familiar. The method used here tries to get to the answer much more quickly with a lot less writing. (Unfortunately, it takes a bit of writing to explain it all.)
Find the value of the variable that makes the equation true 3x-11=-2x+19
Answer:
x = 6
Step-by-step explanation:
Given
3x - 11 = - 2x + 19 ( add 2x to both sides )
5x - 11 = 19 ( add 11 to both sides )
5x = 30 ( divide both sides by 5 )
x = 6
A diver swims 5.875 feet up to the surface of the water. Which number represents the diver's position in relation to the surface before swimming to the top? -5.9 feet Negative 5 and three-fourthsfeet -58 feet Negative 5 and StartFraction 7 over 8 EndFractionfeet
Answer:
Negative 5 and 7 over 8Step-by-step explanation:
do NOT listen to the other guy.Answer:
Negative 5 and 7 over 8
Step-by-step explanation:
5.875 look at this: 5 "5".87" 5" || and '5.8"7"5' 7 || over '5."8"75 8', you don't need to write the other five 5.87"5" because it is in the beginning of the number/ whole number "5".875
2^4 - 7^3 – 15^2 = 0
Answer:
False
Step-by-step explanation:
Which expression is equivalent to 4^6 ⋅ 4^−8?
A.) 1/4^2
B.) 1/4^14
C.) 4^2
D.) 4^14
(PS. Don't answer this just for the points, please put some effort into this, yes i know im the on seeking others help, but i tried i didn't understand so came here.)
Helen is typing a report and is using two different sizes of fonts, as shown below. What is the ratio of the height of a letter typed using font I to the height of a letter typed using font II?
2/9
1/3
3
9
WILL RECIEVE BRAINLIST
Answer: 2/9
Step-by-step explanation:
answer correctly please !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!
Answer:
sanaol matalino
Step-by-step explanation:
kase dehins matalino
The two triangles formed by the flagpole and the man shown below are similar.
What is the height of the flagpole?
57 feet
51 feet
8.5 feet
42.5 feet
joke 1. 2 hunters were out in the woods right while they were following fresh tracks from a big elk one of the hunters drop to the ground and his eyes roll backwards so the other hunter whips out his phone and calls the hospital "I THINK MY FRIEND IS DEAD!" he told the doctor the doctor told him " Calm down let's make sure he's dead. so there is a moment of silence the you here a big pop the hunter says "NOW WHAT!" (he shot his friend)
joke 2. I wanted to be a democrat for halloween but i could not stick my head far enough up my a/s/s to be one.
brainliest for being funny?
(7x-3) = 5
Algebra 2, solve
Answer:
8 or 8/7
Step-by-step explanation:
Having to do with quantities greater than zero A)positive B)negative C)Debt
Answer:
A)positive
Step-by-step explanation:
All quantities greater than zero will be positive, although zero itself is not considered negative or positive. Also, debt means that something would be owed. This would mean the number is negative and therefore not correct.
Solve -4b + 2 = 18.
b =
Answer:
b = -4
Step-by-step explanation:
your equation: -4b + 2 = 18
subtract 2 from both sides: -4b = 16
divide both sides by -4 to isolate the variable: b = -4
Answer:
b= -4b=18-2
=16
b=16+(-4)
=12
Find the y-intercept of the graph of the linear equation. 3/4 x + y = 10
Answer:
10
Step-by-step explanation:
slope intercept form is y=mx+b
in this case b is 10
y=-3/4x+10
A market sells blueberries for $3 per pint. The first day, the market sold a total of $35 worth of blueberries. The second day, the market sold a total of $47 worth of blueberries. And the third day, the market sold a total of $57 worth of blueberries. Estimate how many pints the market sold over the three days.
Answer:Around 50 pints
Step-by-step explanation:
$35=$40
$47=$50
$57=$60
$40+$50+$60=$150/3=50
what's the y intercept of y=x-1
Answer:
-1
Step-by-step explanation:
The formula is Y=mx+b and m is the slope while b is the y-intercept. So you plug in your numbers and i believe -1 is your y-intercept. :)
Please help me....Could you answer these 2 questions correctly?
Answer:
A
Step-by-step explanation:
for the two of them, the first answer is the answer
Answer:
#1 - First option: y + 7 = [tex]\frac{-1}{4}[/tex](x -4)
#2 - First option: y = 2x - 5
Step-by-step explanation:
#1
Given: (x1,y1) = (4,-7) and m = [tex]\frac{-1}{4}[/tex];
To find the point slope form which is
y - y1 = m(x - x1); substitute (x1,y1) and m
y - (-7) = [tex]\frac{-1}{4}[/tex](x -4)
y + 7 = [tex]\frac{-1}{4}[/tex](x -4)
#2
Given: points (x1,y1) = (0, -5) and (x2,y2)=(4,3)
To find the slope we use
m = [tex]\frac{(y2-y1)}{(x2-x1)}[/tex] = [tex]\frac{(3-(-5))}{(4-0)}[/tex] = [tex]\frac{8}{4}[/tex] = 2
Now pick a number to find b
y = mx + b
y1 = mx1 + b
-5 = 2(0) + b
b = -5
now plug into y = mx + b; which is
y = 2x - 5
Write an equation of the line that passes through the given point and is parallel to
the given line.
10. (14, 3); 2y - x - 8
Answer:
y = x - 23
Step-by-step explanation:
PLEASE HELP ME
what is the missing step in this
Answer:
Step-by-step explanation:
I can't read this well. Is it (x-y)^2+ (x^2+2+y^2)?
Answer:
Step-by-step explanation:
[tex](x - y) ^{2}[/tex] + ([tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex])
(x - y) (x - y) + ([tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex])
[tex]x^{2}[/tex] + [tex]y^{2}[/tex] - xy -xy + ([tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex])
[tex]x^{2}[/tex] + [tex]y^{2}[/tex] -2xy + ([tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex])
[tex]x^{2}[/tex] + [tex]y^{2}[/tex] -2xy + [tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]
[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + [tex]x^{2}[/tex] + [tex]y^{2}[/tex]
[tex]2x^{2}[/tex] + [tex]2y^{2}[/tex]
2([tex]x^{2}[/tex] + [tex]y^{2}[/tex] )
hope this helps!
Hurryyy Plzzz!!
A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg
F.) Not enough information.
Maura runs 5 miles in 1.25 hours.How many miles could she run in 5 hours?
I NEED HELP!!
Answer:
15
Step-by-step explanation:
WHAT IS FRICTION BETWEEN????? NEED ANSWERS ASAP
Answer:
Friction is a force between two surfaces that are sliding, or trying to slide, across each other.
Step-by-step explanation:
For example, when you try to push a book along the floor, friction makes this difficult.
Answer:
Friction is the force that opposes motion between any surfaces that are in contact. There are four types of friction: static, sliding, rolling, and fluid friction. Static, sliding, and rolling friction occur between solid surfaces. Fluid friction occurs in liquids and gases.
Step-by-step explanation:
How do I solve this equation?
Factor 1.2 out of
1.2x - 7.2
help asap
Answer: 1.2(x - 6)
Step-by-step explanation:
Because you're factoring out 1.2, you don't need to do anything with 1.2x
Divide -7.2 by 1.2 which is 6.
Put it in your factor equation.
whats the value of y in the eaquation log(1,000,000)=y
a.y=6
b.y=4
c.y=5
The answer is a. y=6 :)
Does it represent or does it not represent
Plzzzz answer quick i need this badly
Answer:
What u need
Step-by-step explanation:
Answer:
what do you need help with?
Step-by-step explanation:
16 is what percent of 96?
Answer:
15.36%
Step-by-step explanation:
BRAINLIST!!
The Kims drove 450 miles in each direction to Grandmother's house and back again. If their
car gets 25 miles per gallon and their cost for gasoline was $3.25 per gallon for the trip to
Grandmother's house, but $3.50 per gallon for the return trip, how much more money did they
spend for gasoline returning from Grandmother's house than they spent going to Grandmother's?
A) $2.25
B) $4.50
C) $6.25
D) $9.00
what are the degree &’ leading coefficient of the polynomial?
-23u^3+10-15u-23u^9
Answer:
sorry bro ion know it i just need points for my testg.
Step-by-step explanation:
Carri is trying to run a certain number of miles by the end of this month. If Carrie is 55% of the way to achieving her goal and she has already run 11 miles, how many miles is she trying to run by the end of this month
Answer:
20 miles
Step-by-step explanation:
Let
x = total number of miles she wish to run the end of this month
If Carrie is 55% of the way to achieving her goal and she has already run 11 miles
55% of her total miles = 11 miles
55% of x = 11 miles
55/100 * x = 11 miles
0.55x = 11
Divide both sides by 0.55
x = 11 / 0.55
= 20
x = 20 miles
x = total number of miles she wish to run the end of this month = 20 miles
She is trying to run 20 miles by the end of this month