Answer:
Step-by-step explanation:
Each point of intersection with the system of equations was matched.
what is a linear equation?Any equation in the form [tex]ax+by+c=0[/tex] is called a linear equation where a,b,c∈R.
In the given diagram, to find the intersection of two lines, solve the equations of two lines.
1)[tex]\left \{ {{y=-2x-3} \atop {y=2x-1}} \right.[/tex]
The solution of the given system of equations comes to be x=-1/2 and y=-2.
So they will intersect at (-1/2, -2) i.e. same as the graph.
2)[tex]\left \{ {{y=x+4} \atop {y=-x+2}} \right.[/tex]
The solution of the given system of equations comes to be x=-1 and y=3.
So they will intersect at (-1,3)
Similarly, the other two systems of equations will intersect at (-7/3,5/3) and (-1,1) respectively.
Hence, each point of intersection with the system of equations was matched.
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In ΔTUV, t = 410 cm, ∠U=27° and ∠V=78°. Find the length of v, to the nearest 10th of a centimeter.
Answer:
[tex]v \approx 415.2\,cm[/tex]
Step-by-step explanation:
The angle T is:
[tex]\angle T = 180^{\circ} - 27^{\circ} - 78^{\circ}[/tex]
[tex]\angle T = 75^{\circ}[/tex]
Now, the length of v is determine by the Law of Sines:
[tex]\frac{410\,cm}{\sin 75^{\circ}} = \frac{v}{\sin 78^{\circ}}[/tex]
[tex]v = (410\,cm)\cdot \left(\frac{\sin 78^{\circ}}{\sin 75^{\circ}} \right)[/tex]
[tex]v \approx 415.2\,cm[/tex]
A bag contains 2 red, 5 blue, and 7 yellow marbles. Find the probability of drawing a yellow or a red.
Answer:
drawing a red marble would be 2 in a 14 or 1/7 chance n drawing a yellow would be 1/2.
The probability of drawing a yellow marbles is 1/2
What is probability ?Probability means the quality or state of being probable; the extent to which something is likely to happen or be the case
We have,
Bag contains marbles
Red=2
Blue=5
Yellow=7
Total marbles in bag = 2+5+7=14
The total number of ways of selecting one marble out n(s) = 14[tex]C_{1}[/tex]
= 14 ways
Let E be the event of selecting yellow marbles
Since, the bag contains 7 yellow marbles
one yellow marble can be draw from 7 yellow n(E) =7[tex]C_{1}[/tex]
= 7 ways
We know the formula,
P(E)= n(E)/n(s)
= 7/14
= 1/2
Hence, the probability of drawing a yellow marbles is 1/2
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What is the graph of y^2/16+x^2/9=1
Answer:
is c
Step-by-step explanation:
use math way if you have any doubts
Answer:
the correct graph is graph c.
Step-by-step explanation:
i did the asignment on edg
PLEASE HELP!!!!!!!!!
WILL GIVE BRAINLIEST. Billy ordered a pizza with a crust that is 10π inches long. What is the area of the pizza?
Answer:
~31.42
Step-by-step explanation:
I multiplied 10 x pi and it gave me 31.4159265359 and I rounded up to 31.42
1. 3x + 7 = 13 (x = -2; x = 2; x = 5)
Answer: x=2
Step-by-step explanation:
I am assuming you are asking which x fits the equation. To see if x works for the equation, you would plug it in.
x=-2
3(-2)+7=13
-6+7=13
1≠13
x=2
3(2)+7=13
6+7=13
13=13
x=5
3(5)+7=13
15+7=13
22≠13
Solve the equation for y.
6 = 4x +9y
Answer:
y = (6-4x) / 9
Step-by-step explanation:
6 = 4x+9y
Subtracting 4x to both sides
6 - 4x = 9y
Now dividing both sides by 9
We'll get
(6-4x)/9 = y
OR
y = (6-4x) / 9
Answer:
y = 2/3 - 4x/9
Step-by-step explanation:
6 = 4x + 9y
you have to isolate the 9y soo, subtract 4x on both sides
6 - 4x = 9y
now, divide both sides by 9
6/9 - 4x/9 = y
simplify!
2/3 - 4x/9 = y
WILL MARK BRAINLIEST
Prism M and pyramid N have the same base area and the same height. Cylinder Pand prism Q have the same height and the same base
perimeter. Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y.
The figures_____and_____have the same volume.
1.)
Prism M
Cylinder P
Cone Z
2.)
pyramid N
Prism Q
Cylinder Y
Answer:
Answer Cone Z and Cylinder Y.
Step-by-step explanation:
The relationship between the volume of the cone and the volume of the cylinder with the same height and same base is the volume of the cone is 1/3 of the volume of the cylinder.
hope that helps love!
Surface area and volume
Please help me I need this done not a lot of work but please get it done with good credit for good rating and reward!
Answer:
1. Diameter
2. more than 1 but less than 2
3. ans: 3.14
4. ans: 3.142
5. 33.7 inches
6. a) 100.57 b) 2.36 (2 dp) c) 236.66 d) 113.14 e)20.11
f) 86.11
sara and megan wanted souvenirs when on vacation. sara bought 3 magnets and 4 picture frames for $41. megan bought 2 magnets and 5 picture frames for $39. how much does magnet cost? how much does the picture frames cost?
Answer:
idk
Step-by-step explanation:
sorry
solve: 3(x+4)= 12 + 3x
Answer:
All solutions
Step-by-step explanation:
Regardless of what x equals the answer will work
Answer:
x=2
Step-by-step explanation:
3(x+4)= 12 + 3x
x=2 12+3x
3(2+4) x=2
3x6 3x2=6
18 12+6=18
Two angles are supplementary. If the m∠A is five times the sum of the m∠B plus 7.2°, what is m∠B?
Answer:
m∠B = 24°
Step-by-step explanation:
m∠A + m∠B = 180°
m∠A = 5 ( m∠B + 7.2 )
5 ( m∠B +7.2 ) + m∠B = 180
5m∠B + 36 + m∠B = 180
6m∠B = 180 - 36
6m∠B = 144
m∠B = 24°
A glass of cold milk is sitting on the counter, warming up to room temperature. Currently, the milk is 10°C below room temperature. However, that temperature difference is shrinking by 10% every minute. What will the temperature difference be in 14 minutes?
Answer:
I think it's 8.6 or 1.4
Step-by-step explanation:
Turn 10% into a decimal form... .10
.10 x 14 = 1.4
10 - 1.4 = 8.6
Idk oof
Answer:
10.7 Celsius
Step-by-step explanation:
I did it on IXL
find the value of x
Answer:
Step-by-step explanation:
5
A rational number is the..........
of two........
while a rational expression is a......... of two.........
Answer:
A rational number is the QUOTIENT of two INTEGERS while a rational expression is a QUOTIENT of two FUNCTIONS.
Hope this helps!
:)
Answer:
quotient
integers
quotient
functions
Step-by-step explanation:
Formula to find the surface area of a triangular prism
Step-by-step explanation:
In the mensuration of a triangular prism we can find the total surface area by solving for the areas of individual shape.
The triangular prism consist of
1. three rectangular surfaces
2. two triangular surfaces.
Hence the total surface area is the sum of the areas of the rectangular surface
= [tex](l* w) +( l*w)+(l*w)\\[/tex]
and the sum of all areas of triangular surfaces
= [tex](\frac{1}{2}bh) + (\frac{1}{2}bh)[/tex]
In summary just find the area of each shape and add them together.
Amanda has 14 coins in her pocket that equal 54 cents. All the coins are nickels, n, and pennies, p. Which combination of coins
does Amanda have? Use the table to answer the question.
Answer:
The answer to this question is c
Step-by-step explanation:
10 nickels and 4 pennies
You are measuring the height of a Ferris wheel at an amusement
park. You are standing 125 feet from its base. You measure the angle
of elevation from a point on the ground to the top of the Ferris wheel
to be 51°. Estimate the height of the Ferris wheel. Round your
answer to the nearest foot.
Answer:
154 ft
Step-by-step explanation:
A right triangle is formed, where the height of the wheel (h) is one leg, the distance between you and the base of the wheel is the other leg, and the distance between you and the top of the wheel is the hypotenuse (the angle included between the last two sides is 51°)
From definition:
tan(51°) = opposite/adjacent
tan(51°) = h/125
h = tan(51°)*125
h = 154 ft
3. Find the volume of the pyramid.
7 cm
3 cm
1 cm
Answer:
7
Step-by-step explanation:
V=lwh
3=7·3·1
3=7
Which of the following equations is an example of a direct variation?
y = 3
x + 2y = 6
x = 4
y = 3.14 x
Answer:
ummm, I'm not sure but I think that it's the second or the last one.
Use right triangle ABC. The figure is for reference only and is not drawn to scale. In a 30-60-90 triangle, the shorter leg had a length of 8. What is the length of the longer leg?
Answer:
In a 30 60 90 triangle, the longer leg = shorter leg * square root (3)
longer leg = 8 * square root (3) = 8 * 1.7320508076
= 13.8564064606
Step-by-step explanation:
help me with number 3 pleaseee
Answer:
$25.65
Step-by-step explanation:
135 (19%)
$25.65
HELP ILL GIVE YOU 15 POINTS !!!!!! ill mark you as brainliest too if its right
Answer:
B.
Step-by-step explanation:
[tex]\frac{2}{5} *4=\frac{8}{5}[/tex][tex]x[/tex]
[tex]\frac{2}{5} *-8=-\frac{16}{5}[/tex]
Answer:
b
Step-by-step explanation:
PLEASE ANSWER ASAP! 48 POINTS!!
IF YOU ANSWER JUST FOR POINTS I'LL REPORT YOU!!!
Explain how solving -7y > 161 is different from solving 7y > -161.
the first choice has a negative 7 and the second choice has a negative 161 these are both negatives in different places which cause a different reaction
K is the midpoint of JL
JK 2x + 4 and
KL = 4x - 8
Find JL.
Step-by-step explanation:
If K is the midpoint of JL, then JK and KL will be congruent to each other because a midpoint divides a line into two congruent segments.
JK ≅ KL
Now, let's add in the expressions.
2x + 4 = 4x - 8
-2x + 4 = -8
-2x = -12
x = 6
So, the value of x is equal to 6. Since JK is congruent to KL, then we can plug in x for one of the equations and multiply that answer by 2 so we can find the measurement of JL.
JK = 2(6) + 4
JK = 12 + 4
JK = 16
16 * 2 = 32
So, the measurement of JL is equal to 32.
y = − 1/3 x + 2 y = x + 2
write an equivalent ratio to 2:7
Answer:
4:14
Step-by-step explanation:
I need help like frfr
Before today over . Someone help me
Answer:
The answer is 49
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST
HELPING ON OTHER OF YOUR PROBLEMS
Find three solutions for the linear equation 4x −3y = 1, and plot the solutions as points on a coordinate plane.
Answer:
(1, 1), (2, 2.333) and (3, 3.666).
Step-by-step explanation:
To find solutions for this equation, we can just choose values for x and then calculate the values of y.
So, for x = 1, we have:
4*1 - 3y = 1
3y = 3
y = 1
For x = 2, we have:
4*2 - 3y = 1
3y = 7
y = 2.333
For x = 3, we have:
4*3 - 3y = 1
3y = 11
y = 3.666
The points we need to plot is (1, 1), (2, 2.333) and (3, 3.666).
Check the image attached for the plot.
Three solutions for the linear equation are: (0, -0.333), (1,1) and (3, 3.667).
The graph is given at the end of this answer.
-----------------------------
The equation is:
[tex]4x - 3y = 1[/tex]
In slope-intercept formula, we have that:
[tex]3y = 4x - 1[/tex]
[tex]y = \frac{4}{3}x - \frac{1}{3}[/tex]
Thus, the solutions are given by the following pairs of points: [tex](x, \frac{4}{3}x - \frac{1}{3})[/tex]
-----------------------------
For x = 0, we have that [tex]y = \frac{4}{3}(0) - \frac{1}{3} = -\frac{1}{3} = -0.333[/tex], thus, one solution is (0, -0.333).
For x = 1, we have that [tex]y = \frac{4}{3}(1) - \frac{1}{3} = \frac{3}{3} = 1[/tex], thus, one solution is (1,1).
For x = 3, we have that [tex]y = \frac{4}{3}(3) - \frac{1}{3} = \frac{11}{3} = 3.667[/tex], thus, one solution is (3, 3.667).
These solutions are labeled on the graph given at the end of this answer.
A similar problem is given at https://brainly.com/question/16768849