Part A: Estindlate the solution from the graph. -
Part B: What is the equation of each line in the system? blue line: _ and red line:
Answers
Answer:
Part A
The estimated solution of the graph is (37/29, -30/29)
Part B
The equation of the blue line is y = 0.6·x - 1.8
The equation of the red line is y = (-4/3)·x + 2/3
Step-by-step explanation:
Part A
From the given graph, we have two lines, one red and one blue line, intersecting in Quadrant IV
Given that the equation of the lines are also required, we find the solution of the graph, through the equation of the lines as follows;
The points through which the blue line passes are (-2, -3), and (3, 0)
The slope of the blue line, [tex]m_b[/tex] = (0 - (-3))/(3 - (-2)) = 0.6
Therefore, we have;
y - 0 = 0.6·(x - 3)
∴ The equation of the blue line is y = 0.6·x - 1.8
The approximate points through which the red line passes are (-1, 2) and (-2.5, 4)
The slope of the red line, [tex]m_r[/tex] = (4 - 2)/((-2.5) - (-1)) = -4/3
Therefore, we have;
y - 2 = (-4/3)·(x - (-1)) = (-4/3)·x - 4/3
∴ The equation of the red line is y = (-4/3)·x - 4/3 + 2 = (-4/3)·x + 2/3
y = (-4/3)·x + 2/3
The solution for the graph is the point where the y-values are equal
Therefore, wat the solution point, y = y, and 0.6·x - 1.8 = (-4/3)·x + 2/3
0.6·x + 4/3·x = 1.8 + 2/3
x = (1.8 + 2/3)/(0.6 + (4/3)) = 37/29 ≈ 1.28
At the solution of the graph, y = 0.6 × (37/29) - 1.8 = -30/29
Therefore, the estimated solution of the graph is (37/29, -30/29)
Part B
From the above solution of the graph, we have;
The equation of the blue line: y = 0.6·x - 1.8
The equation of the red line: y = (-4/3)·x + 2/3
Related Questions
What is the midpoint of the line segment graphed below?
A. (4,7/2)
B. (8,7/2)
c. (4,3/2)
D (8, 3/2)
Answers
Answer:
a) (4,7/2)
Step-by-step explanation:
Midpoint Formula:
[(-1+9)/2], [(2+5)/2]
(8/2, 7/2) = (4, 7/2)
A silo in the shape of a cylinder is partially filled with corn to feed cows. The corn fills 25% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12 feet in diameter and 60 feet high?
- PLEASE HELP im in the middle of an exam
Answers
Answer:
1695.6 cubic feet
Step-by-step explanation:
Given that,
The corn fills 25% of the height of the silo.
The diameter of silo, d = 12 feet
Radius, r = 6 feet
Height, h = 60 feet
The volume of the part of the silo that is filled with corn is given by :
[tex]V=25\%\ of\ \pi r^2 h\\\\=\dfrac{25}{100}\times 3.14\times 6^2\times 60\\\\V= $$1695.6\ feet^3[/tex]
So, the required volume is equal to 1695.6 cubic feet.
AHHHHH HELP IT'S TIMED!!!!!!!
I'LL MARK BRAINLIEST SO PLEASE HELP!!!!!!
Answers
Find an equation of the circle whose diameter has endpoints (6,4) and (2,-6)
Answers
Answer:
[tex](x-4)^2+(y+1)^2=29[/tex]
Step-by-step explanation:
We want to find a circle whose diameter has the endpoints (6, 4) and (2, -6).
Since this is the diameter, its midpoint will be the center of the circle. Find the midpoint:
[tex]\displaystyle M=\left(\frac{6+2}{2}, \frac{4+(-6)}2}\right)=(4, -1)[/tex]
So, the center of our circle is (4, -1).
Next, to find the radius, we can find the length of the diameter and divide it by half.
Using the distance formula, find the length of the diameter:
[tex]\begin{aligned} d&=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ &=\sqrt{(2-6)^2+(-6-4)^2}\\\\&=\sqrt{(4)^2+(-10)^2}\\\\&=\sqrt{116}\\\\&=2\sqrt{29}\end{aligned}[/tex]
So, the radius will be:
[tex]\displaystyle r=\frac{1}{2}d=\frac{1}{2}\left(2\sqrt{29}\right)=\sqrt{29}[/tex]
The equation for a circle is given by:
[tex]\displaystyle (x-h)^2+(y-k)^2=r^2[/tex]
Substitute:
[tex](x-4)^2+(y+1)^2=29[/tex]
Can someone please help me!!!
Answers
Answer:
Option C
Step-by-step explanation:
same logic as in 2D problems. if C wasn't true, then the two planes couldn't be parallel
the sum of 25 and x is 48 find x. . Solve.
Answers
Answer:
x = 23
Step-by-step explanation:
Sum of 25 and x = 48
25 + x = 48
Subtract 25 from both sides
25 - 25 cancels out
48 - 25 = 23
We would be left with x = 23
Answer:
[tex]x =23[/tex]
Step-by-step explanation:
Sum of 25 and x
[tex]25 + x[/tex]
Sum of 25 and x is 48
[tex]25 + x = 48[/tex]
Now lets simply Solve the equation
[tex]25 + x = 48 \\ x = 48 - 25 \\ x =23[/tex]
Hope this helps you.
Have a nice day!
Given right triangle ABC, what is the value of tan(A)?
Answers
The value of angle tanA in a right-angle triangle is 12/5. The correct option is C.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that the three sides of the right-angled triangle are AB = 26, BC = 24, and AC = 10.
The value of angle tanA will be calculated as:-
tanA = P / B
tanA = 24 / 10
tanA = 12 / 5
Hence, the value of angle tanA in a right-angle triangle is 12/5. The correct option is C.
To know more about Trigonometry follow
https://brainly.com/question/24349828
#SPJ1
helpppp pleaseee its hard
Answers
Answer:
Ten thousands
Step-by-step explanation:
Replace all other digits with zero
This gives 40,000
Ten thousand (10,000) has the same amount of digits
8. It is the measure of the space inside the solid figure.
b. surface area
C. circumference
d. volume
a. area
Answers
Answer:
the answer will be volume
please mark the answer as the brainlliest one
The object below is made with six identical cubes. Each cube edge is 3 inches long.
As
3 in.
What is the surface area of the object in square inches?
Answers
Answer:
306 square inches.
Step-by-step explanation:
All surfaces of the cubes are exposed to the outside except 2 ( where 2 of the cubes join).
6 separate cubes have 6 * 6 faces exposed so this object has 36 - 2 = 34 surfaces exposed.
Each face of one cube = 3*3 = 9 in^2.
Therefore the surface area = 9 * 34 = 306 in^2.
On the coordinate plane, point T is located at (0,7) and point U is located at (x,-5). The distance between points T and U is 15 units.
What are the two possible values of x?
Answers
Answer:
x = 9 or x = -9
Step-by-step explanation:
The parameters of the given points are;
The location of the point T = (0, 7)
The location of the point U = (x, -5)
Then distance between points T and U = 15 units
The distance between points A and B, 'd', given their coordinates, A(x₁, y₁) and B(x₂, y₂) is found using the following formula;
[tex]d=\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Therefore, for the given points, T(0, 7) and U(x, -5), we get;
[tex]15 = \sqrt{\left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}}[/tex]
Squaring both sides, gives;
[tex]15^2 = \left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}} = (-12)^2 + x^2[/tex]
∴ x² = 15² - (-12)² = 81 = 9²
x² = 9²
∴ x = ±√(9²) = ± 9
The possible values of x are x = 9 or x = -9
what is the measure of x
Answers
Answer:
56.25°
Step-by-step explanation:
cos x° = b/h = 15/27 = 5/9
x° = cos^(-1) (5/9) = 56.25°
A quadrilateral is a parallelogram if each____ divides a parallelogram into two____.
Answers
Answer:
diagonal, congruent triangles
Step-by-step explanation:
is my dad abusive? today he grabbed my ears so hard and they turned so red and he put his arms around my face. then he kicked me really hard to the point where I peed, he also pushed me a lot and started slapping me. he did more which I can't remember but he also smashed my phone :) this all happened within 20 minutes and I could barely breathe after that lol. this may not seem so much but it is. this is too personal ig lol and I started self-harming again bc of him yay.
Answers
Answer:
Step-by-step explanation:
OMG! Don't do that! I am so sorry this is happening to you. Look I don't know how to comfort you. IF he keeps doing this tell your mom or litterally call 911. If he did it just on that day then try confronting him on it. And ask him why he did that! Don't self-harm you deserve so much more than that! You are awesome!
(Please help!) What is the value of x?
B
(x + 5) ft 910
8 ft
more
91°
А
38°
P.
38°
13 ft
13 ft
R
X=
Answers
Answer:
x = 5.1
Step-by-step explanation.
Our first step is to find all the angles. If b = 91 degree and c is 38, a. has to be 51 because all triangles add up to 180 degree. Because we have both B and b, we can use sine law.
a/A 13/sin91 c/38
we can use b in this situation.
The legnth of a is 10.1.
So, x-5 would be 5.1
A chef got 9 bags of onions. The red onions came in bags of 6 and the yellow onions came in bags of 7. If the chef got a total of 59 onions, how many bags of each type of onion did he get?
Answers
Answer:
yellow = 5 bags
red = 4 bags
Step-by-step explanation:
two equations can be derived from the question
x + y = 9 equation 1
6x + 7y = 59 equation 2
where x = number of red onion bags
y = number of yellow onion bags
Multiply equation 1 by 6
6x + 6y = 54 equation 3
subtract equation 3 from 2
y = 5
substitute for y in equation 1
x + 5 = 9
x = 9 - 5
x = 4
Latoya has b decks of cards . Each deck has 52 cards in it , what is the expression for the total numbers of cards latoya has
Answers
Answer:
52b
Step-by-step explanation:
She has 52 cards per deck, and b decks.
This means she has 52b cards.
How this works:
For 1 deck, she has 52 cards, or 52×1 cards.
For 2 decks, she has 104 cards, or 52×1 cards.
For 5 decks, she has 260 cards, or 52×5 cards.
For 10 decks, she has 520 cards, or 52×10 cards.
Therefore, for b decks, she has 52×b, or 52b cards.
**This content involves writing algebraic expressions, which you may wish to revise. I'm always happy to help!
Find the measure of x and y
Answers
Answer:
y - 41°
x - ?
Step-by-step explanation:
use method of Z equation
Z 41° so y is 41° too
make sense
You roll a standard six sided number cube. What is the probability of rolling a prime number or a number greater than 4?
Answers
What is the explicit formula for the geometric sequence 2, 6, 18, 54, …?
Answers
Answer:
3x
Step-by-step explanation:
You multiply the pervious number with 3 to get the next number
For example 2 times 3 = 6
6 times 3 = 18
18 times 3 =54
54 times 3= 162
So on and so forth
If line a has a slope of -3 and is perpendicular to line b, what would is the slope of line b?
Answers
Answer:
Slope of line B: 1/3
Step-by-step explanation:
To find a slope perpendicular to another slope, you take its negative reciprocal.
Therefore, line B will have a slope of 1/3 because -3 -> -1/3 -> 1/3
A bag contains balls of five different colors. Two are red, three are blue, ten are white, four are green and three are black. Balls are taken from the bag without looking, and not returned. What is the smallest number of balls that should be taken from the bag to be sure that two balls of the same color have been taken? please explain with the answer
Answers
Answer:
6
Step-by-step explanation:
The worst scenario is that of a slight possibility, the first 5 balls you took are completely different color. The chance of this happening is tiny, but if you want to be sure, then you should consider about it.
But, after taking out the sixth ball, you can be sure that the ball, now right on your hand, must share a same color with at least one of the balls you took out, since there are only five colors.
What is the congruence correspondence, if any, that will prove the given triangles congruent?
Answers
Answer:
Step-by-step explanation:
In ΔFYG & ΔBUH
∠F = ∠B
FY = BU
YG = UH
ΔFYG ≅ ΔBUH { Angle Side Side congruent}
The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from a helicopter.
Find or approximate the time when the object hits the ground. Explain your method.
Answers
The approximate time when the object hits the ground will be 10 seconds.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
h(t) = (49 + 4.9t)(10 - t)
The time when the object hits the ground is calculated as,
h(t) =
(49 + 4.9t)(10 - t) = 0
If (49 + 4.9t) = 0, then the value of 't' is given as,
49 + 4.9t = 0
t = - 10
The value of time is an absolute value. Thus, this can be neglected.
If (10 - t) = 0, then the value of 't' is given as,
10 - t = 0
t = 10 seconds
The approximate time when the object hits the ground will be 10 seconds.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ3
Use the Pythagorean theorem to classify the triangle
formed by the three fences. Which is true about the
numbers 5, 12, and 13?
Answers
Answer:
they are equal
Step-by-step explanation:
The triangle with sides 5, 12, 13 is a right triangle because
a^2+b^2 = c^2
5^2+12^2 = 13^2
25+144 = 169
169 = 169
I'm using the pythagorean theorem converse.
279 students went on a field trip. Five buses were filled and 9 students traveled in cars. How many students were in each bus? PLEASEEEEE HELPPPPP ME you get 60 points i dont know if anyone cares but hey
Answers
Answer:
90 students.
Step-by-step explanation:
279-9=270, and 270 divided by 9 is 90.
PLS HELP Find the value of x.
A. 4
B. 2
C. 7
D. 14
Answers
Answer:
ANSWER IS B
Step-by-step explanation:
5x - 3 = 3x + 1
5x - 3x = 1 + 3
2x = 4
x = 4/2
x = 2
Answer:
B. 2
Step-by-step explanation:
The sides 5x - 3 and 3x + 1 are the same length, so you can put an equal sign: 5x - 3 = 3x + 1, x = 2:
5(2) - 3 = 3(2) + 1
10 - 3 = 6 + 1
7 = 7
So x is 2
+
(10x+2)
→
(9X+18) find the value of x
Answers
16
Step-by-step explanation:
10x+2=9x+18
-2 -2
10x=9x+16
-9x -9x
x=16
Hope this helps! :)
Answer:
x = 16°
Step-by-step explanation:
(10x + 2)° = (9x + 18)°
10x + 2 = 9x + 18
10x + 2 - 2 = 9x + 18 - 2
10x = 9x + 16
10x - 9x = 9x - 9x + 16
x = 16°
what is the answer to this question
Answers
Explanation: the b value is the starting point and it starts at positive 2, the graph is positive so the slope is also positive which only leaves answer choice D.
Answer:
[tex]slope = \frac{2 - ( - 1)}{0 - ( - 1)} \\ = 3 \\ y = mx + c \\ 2 = (0 \times 3) + c \\ c = 2 \\ { \boxed{y = 3x + 2}}[/tex]
Drag and drop the correct angle measures onto the diagram
Answers
Answer:
Here you go!
Hope this helps!
