What is the equation of the line that contains point (6, 4) and is parallel to line m?
A) y=-2x+16
B)y=2x-8
C)y=-1/2x+7
D)y=1/2x+1
PLEASE HELPPP !!
Answer:
d?.............................
which expression is equivalent to 7a-8-12a+4
Answer:
-5a-4
Step-by-step explanation:
7a-8-12a+4
7a-12a-8+4
=-5a-4
Which of the following sets of possible side lengths forms a right triangle?
11, 60, and 61
6, 12, and 13
9, 40, and 45
12, 35, and 38
Answer:
Which of the following sets of possible side lengths forms a right triangle?
11, 60, and 61✓6, 12, and 13
9, 40, and 45
12, 35, and 38
Step-by-step explanation:
[tex] \sqrt{ {11}^{2} + {60}^{2} } \\ = \sqrt{121 + 3600} \\ = \sqrt{3721} \\ = \sqrt{ {61}^{2} } \\ = 61[/tex]
11, 60 and 61 is the right answer.ASAP need help with system of equations... I'm too small brain to do it.
Answer:
(x=0, y=11)
(x=2, y=9)
Step-by-step explanation:
first equation substitution for x first.
y=11-x
plug into 2nd equation
(x+2)^2+(11-x-7)^2=20
this should lead you into a quadratics equation.
you get x=0, x=2.
do the same for y value this time, subbing in the x value
(11-y+2)^2+(y-7)^2=20
this also leads into a quad equation
solve and you get y=11, and y=9
Could someone answer and explain. Will mark the brainliest
Answer: I think you’re right??
Step-by-step explanation:
¾+(⅓÷⅙)-(-½)=( ) need help with this question
Answer:
3.25 or 3 1/4
Step-by-step explanation:
Remove the parentheses first: 3/4 + (1/3 / 1/6) - (-1/2)
1/3 / 1/6 turns into 1/3 * 6
Reduce the numbers:
3/4 + (1/3 * 6) + 1/2
cross multiplication, 6 divided by 3 = 2.
So the new equation is 3/4 + 2 + 1/2
Then you calculate.
3/4 + 2 + 1/2 = 13/4
13/4 reduced is 3 1/4 or 3.25
3(t-2)
Expand equation
Answer:
[tex]3(t - 3) \\ 3t - 9[/tex]
this is your answer
calculate a²b+a³b/a²b²
Step-by-step explanation:
a³+a²b+ab²+a³b+a²b²-a²b-ab²-b³-a²b²+ab³ = 2/3 ... plus 3Y is equal to 11 find the point where it presented by the equation cuts Y and X axis.
1 answer
Three out of nineteen students will ride in a car instead of a van. How many ways can those three students be
chosen? Use the following formula.
n!
r
C(n, r) = r!(n-1)!
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
[tex]y = x +2[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine the equation
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (-3,-1)[/tex]
[tex](x_2,y_2) = (1,3)[/tex]
So, we have:
[tex]m = \frac{3 - (-1)}{1 - (-3)}[/tex]
[tex]m = \frac{3 +1}{1 +3}[/tex]
[tex]m = \frac{4}{4}[/tex]
[tex]m =1[/tex]
The equation in slope intercept form is calculated using
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 1(x - (-3)) -1[/tex]
[tex]y = 1(x +3) -1[/tex]
[tex]y = x +3 -1[/tex]
[tex]y = x +2[/tex]
Plz help me with the problem
Answer:Step-by-step explanation:
Just tell me the problem
(+12) + (-13) =
Cuánto es y porque, operación completa.
Answer:
-1
Step-by-step explanation:
12 + -13 = -1
Sara has 2 pounds of chicken. She uses 5 ounces of chicken while cooking. How can you determine the mass of chicken that she has left?
Answer: 27 ounces of chicken.
Step-by-step explanation:
Sara has 2 pounds of chicken.
She uses 5 ounces of chicken.
So now, she has:
(2 pounds - 5 ounces ) of chicken.
To perform this subtraction, we first need to write bot quantities in the same units.
First, we know that:
1 pound = 16 ounces.
Then we can rewrite 2 pounds, this is equal to 2 times 16 ounces.
2 pounds = 2*16 ounces = 32 ounces.
Then initially she has 32 ounces, and she uses 5 ounces.
Now she has:
(32 ounces - 5 ounces) = 27 ounces of chicken
Given the following sets, find the set .
U{1, 2, 3, . . ., 7}
A{1, 3, 4, 5}
B{2, 3, 5}
C{1, 2, 3, 4, 6}
a+1.6=2.1
Can someone help me with this and can you also do the work to it that would be nice (:
Answer:
its 0.5
Step-by-step explanation:
just subtract 2.1 and 1.6
usebthe elimination method to solve the following system of equations
4x+y=13
5x-y=5
Answer:
x = -2, y = 21
Step-by-step explanation:
Let 4x + y = 13 to be equation1 {eqn1}
and let 5x - y = 5 to be equation2 {eqn2}
Using elimination method, you would try to make sure a particular unknown has the same value in both equation 1 and 2. This would make it easy for you to subtract one equation from the other.
Notice how the value of y is the same in both equations. That's a good sign.
But the signs aren't the same. Meaning y in eqn1 has a value of +1, and y in eqn2 has a value of -1. We need to make them similar.
So, we multiply the value of y in eqn1 by all the terms in eqn2. And, do pretty much the same thing by multiplying the value of y in eqn2 by all the terms in eqn1.
You would have:
-1 * (4x + y = 13)
+1 * (5x - y = 5)
This would result in;
-4x - y = -13 (eqn3)
5x - y = 5 (eqn4)
So, just subtract eqn3 from 4
You would have;
(5x - -4x) + (-y -- y) = (-13 - 5)
9x + 0 = -18
x = -18/9 = -2
and to find y;
just substitute the value of x into any of the 4 equations. let's try equation 1
Therefore;
4(-2) + y = 13
-8 + y = 13
y = 13 + 8 = 21
4x-6+x+6. But if the x was 8 what would it add up to
Answer:
40
Step-by-step explanation:
Your challenge is to create a cylindrical can that minimizes the cost of materials but must hold 100 cubic inches. The top and bottom of the can cost $0.014 per square inch, while the sides cost only $0.007 per square inch. Show how you did it too?
Answer:
[tex]Radius = 1.997\ in[/tex] and [tex]Height = 7.987\ in[/tex]
[tex]Cost = \$1.05[/tex]
Step-by-step explanation:
Given
[tex]Volume = 100in^3[/tex]
[tex]Cost =\$0.014[/tex] -- Top and Bottom
[tex]Cost =\$0.007[/tex] --- Sides
Required
What dimension of the cylinder minimizes the cost
The volume (V) of a cylinder is:
[tex]V = \pi r^2h[/tex]
Substitute 100 for V
[tex]100 = \pi r^2h[/tex]
Make h the subject
[tex]h = \frac{100 }{\pi r^2}[/tex]
The surface area (A) of a cylinder is:
[tex]A = 2\pi r^2 + 2\pi rh[/tex]
Where
[tex]Top\ and\ bottom = 2\pi r^2[/tex]
[tex]Sides = 2\pi rh[/tex]
So, the cost of the surface area is:
[tex]C = 2\pi r^2 * 0.014+ 2\pi rh * 0.007[/tex]
[tex]C = 2\pi r(r * 0.014+ h * 0.007)[/tex]
[tex]C = 2\pi r(0.014r+ 0.007h)[/tex]
Substitute [tex]h = \frac{100 }{\pi r^2}[/tex]
[tex]C = 2\pi r(0.014r+ 0.007*\frac{100 }{\pi r^2})[/tex]
[tex]C = 2\pi r(0.014r+ \frac{0.007*100 }{\pi r^2})[/tex]
[tex]C = 2\pi r(0.014r+ \frac{0.7}{\pi r^2})[/tex]
[tex]C = 2\pi (0.014r^2+ \frac{0.7}{\pi r})[/tex]
Open bracket
[tex]C = 2\pi *0.014r^2+ 2\pi *\frac{0.7}{\pi r}[/tex]
[tex]C = 0.028\pi *r^2+ \frac{2\pi *0.7}{\pi r}[/tex]
[tex]C = 0.028\pi *r^2+ \frac{2 *0.7}{r}[/tex]
[tex]C = 0.028\pi *r^2+ \frac{1.4}{r}[/tex]
[tex]C = 0.028\pi r^2+ \frac{1.4}{r}[/tex]
To minimize, we differentiate C w.r.t r and set the result to 0
[tex]C' = 0.056\pi r - \frac{1.4}{r^2}[/tex]
Set to 0
[tex]0 = 0.056\pi r - \frac{1.4}{r^2}[/tex]
Collect Like Terms
[tex]0.056\pi r = \frac{1.4}{r^2}[/tex]
Cross Multiply
[tex]0.056\pi r *r^2= 1.4[/tex]
[tex]0.056\pi r^3= 1.4[/tex]
Make [tex]r^3[/tex] the subject
[tex]r^3= \frac{1.4}{0.056\pi }[/tex]
[tex]r^3= \frac{1.4}{0.056 * 3.14}[/tex]
[tex]r^3= \frac{1.4}{0.17584}[/tex]
[tex]r^3= 7.96178343949[/tex]
Take cube roots of both sides
[tex]r= \sqrt[3]{7.96178343949}[/tex]
[tex]r= 1.997[/tex]
Recall that:
[tex]h = \frac{100 }{\pi r^2}[/tex]
[tex]h = \frac{100 }{3.14 * 1.997^2}[/tex]
[tex]h = \frac{100 }{12.52}[/tex]
[tex]h = 7.987[/tex]
Hence, the dimensions that minimizes the cost are:
[tex]Radius = 1.997\ in[/tex] and [tex]Height = 7.987\ in[/tex]
To calculate the cost, we have:
[tex]C = 2\pi r(0.014r+ 0.007h)[/tex]
[tex]C = 2* 3.14 * 1.997 * (0.014*1.997+ 0.007*7.987)[/tex]
[tex]Cost = \$1.05[/tex]
On a treasure map, a X is placed at point (9, -7). if the pirates are currently on point (9,3), how many units away are they?
Answer:
They are 10 units away from the treasure
Step-by-step explanation:
Notice that the points (9, -7) and (9, 3) are both located at the same x-value (9) while their y-values are in one case 3 units above the x-axis, and in the other 7 units BELOW the x-axis. Therefore thy differ by 3 - (-7) units , which totals 10 units.
2. The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.36, the analogous probability for the second signal is 0.54, and the probability that he must stop at at least one of the two signals is 0.65. What is the probability that he must stop at exactly one signal?
Answer:
0.30
Step-by-step explanation:
Probability of stopping at first signal = 0.36 ;
P(stop 1) = P(x) = 0.36
Probability of stopping at second signal = 0.54;
P(stop 2) = P(y) = 0.54
Probability of stopping at atleast one of the two signals:
P(x U y) = 0.6
Stopping at both signals :
P(xny) = p(x) + p(y) - p(xUy)
P(xny) = 0.36 + 0.54 - 0.6
P(xny) = 0.3
Stopping at x but not y
P(x n y') = P(x) - P(xny) = 0.36 - 0.3 = 0.06
Stopping at y but not x
P(y n x') = P(y) - P(xny) = 0.54 - 0.3 = 0.24
Probability of stopping at exactly 1 signal :
P(x n y') or P(y n x') = 0.06 + 0.24 = 0.30
Can someone help me please
Answer:
90,56,7867,45,89,45,24,67
a boat travels upstream for 108 miles in 4 hours, and returns in 3 hours traveling downstream in a river. What is the rate of the boat in still water, and what is the rate in the current?
Answer:
Rate in still water = 27 mph
Rate in the current =36 mph
Step-by-step explanation:
The rate is the speed the boat use to travel in the water
The distance travelled upstream = 108 miles
The time taken to travel upstream = 4 hours
The rate in still water /upstream = 108/4 = 27 mph
The rate in the current /downstream = 108/3 =36 mph
After four rounds, 74 teams are eliminated from a robotics competition. There are 18 teams remaining. Write and solve an equation to find the number of teams t that started the competition.
Find a linear equation whose graph is the straight line with the given property.
Through (0.5, -2.25) and (1, -5.25)
Answer:
Step-by-step explanation:
-5.25+2.25 - 3
1-0.5 = 0.5
=-6 =m
y=-6x
This question has 2 parts. Please explain everything you did in order to answer the second question!
Answer:
41.8 unitsStep-by-step explanation:
Property of the kite: diagonals are perpendicular
PQ = PS = √10²+6² = √136 = 11.7 roundedRS = RQ = √6²+7²= √85 = 9.2 roundedPerimeter is the sum of the side lengths:
P = 2*(11.7 + 9.2) = 41.82x+5 = 11
What is x in this equation
Answer:
x=3
Step-by-step explanation:
Subtract 5 from both sides:
2x=6
Divide both sides by 2:
x=3
Answer:
3
Step-by-step explanation:
2x+5=11
subtract 5 from both sides of the equation
2x=6Then divide by two to both sides of the equation
x=3What is the solution to the equation? a+5 2/3=9
Answer:
a = 3.333... (3 repeating) or 3 1/3
Step-by-step explanation:
Solve for a by simplifying both sides of the equation, then isolating the variable.
Help me out! Answer? Anyone??
Answer: C and D.
Step-by-step explanation: The pictures show the work. So sorry about the delay -- my computer wasn't letting me type formulas, so I hand-wrote. If you have questions, let me know and I'd be happy to clarify, and if the pictures are sideways, use the rotate button at the top right.
Given that line AD ll to line EH, find the measure of
Answer:
x=7.5
Step-by-step explanation:
Since AD II EH, ∠CBD=∠BFH (alternate angles)
2x+60=10x
8x=60
x=7.5
Answer:
x = 7.5
each angle measures 75°
Step-by-step explanation:
the two angles are corresponding, meaning they are equal
10x = 2x + 60
8x = 60
x = 7.5
How many phone numbers (without area codes) are possible? The first digit cannot be 0 or 1.
Answer:
Step-by-step explanation:
For the first digit, there are 8 numbers to choose from (2, 3, ..., 9).
For each remaining digits, there are 10 numbers to choose from (0, 1, ..., 9).
Choose 6 of them. Repetition is allowed, and order matters.
There are 10⁶ possible choices.
There are 8×10⁶ possible phone numbers.