Solve graphically: 2x - y = 7 and x - 2y = 5.
Answers
Answer:
(3, - 1)
Step-by-step explanation:
We want to solve the system of equations:
2*x - y = 7
x - 2*y = 5
graphically.
To do it, we need to graph both lines, it will be easier if we rewrite both lines in a more general way, like in the slope-intercept form:
y = -7 + 2*x
y = -(5/2) + x/2
Now, a solution of the system is a point (x, y) such that the point is a solution to both equations, then, when we graph the lines, as that point belongs to both equations, we should see that both lines pass through that point.
Then to find the solution of the system, we just need to graph the lines and find the point where the lines intersect.
Below, you can see a graph of the lines, and is easy to see that the lines do intersect at the point (3, - 1)
Related Questions
In the diagram below of triangle OPQ, R is the midpoint of OQ and S is
the midpoint of PQ. If RS = 18 – 4x, and OP = -9 + 7x, what is the
measure of OP?
R
S
O
Answers
Answer:
Measurement of OP = 12
Step-by-step explanation:
Given:
R is mid point of OQ
S is mid point of PQ
RS = 18 – 4x
OP = -9 + 7x
Find:
Measurement of OP
Computation:
R is mid point of OQ and S is mid point of PQ;
By using mid point theorem
[1/2][OP] = RS
So,
[1/2][-9 + 7x] = [18 - 4x]
[-9 + 7x] = 2[18 - 4x]
-9 + 7x = 36 - 8x
7x + 8x = 36 + 9
15x = 45
x = 45 / 15
x = 3
So,
OP = -9 + 7x
OP = -9 + 7(3)
Measurement of OP = 12
What is the y'intercept of the line given by the equation y = 5x + 16? !!!!
Answers
Answer:
16
Step-by-step explanation:
Y=Mx+b where m is the slope and b is the y intercept
y=5x+16 where 5 is the slope and 16 is the y intercept.
What is Median?
I'm not going to be online for 3 weeks. No need to worry about me, okay :) <3 <3
Answers
Answer:
See below
Step-by-step explanation:
The median is the middlemost term in a numerically ordered data set.
For example, if I had for my data set {2,2,3,5,6,7,8} then 5 would be the median because it's the middlemost term.
Pleaseeeeeeeee helppppp someone pleaseeeeeee I’m begging uuuuuuuuuuuu
Answers
Answer:
x=6
ABC= 135 degrees
Step-by-step explanation:
ABE and CBD are congruent angles (don't remember the theorem)
therefore
3x+27=45
solve for x
x=6
ABC and CBD are supplementary (meaning they add to 180)
Answer:
6
Step-by-step explanation:
Find the value of x that makes ABCD a parallelogram.
D
с
X + 40°
70°
70°
X + 40°
А
B
O A. x = 40°
B. x = 50°
O c. x = 70°
O D. x = 30°
HELPPP MEEE PLSSS ASAPPPP !!!!!
Answers
Consecutive angles are supplementary (add to 180)
70+ x + 40 = 180
110 + x = 180
X = 70
The value of x that makes ABCD a parallelogram is C. x = 70°.
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Given that ABCD is a parallelogram.
We know that opposite angles of a parallelogram are equal.
It is already given.
Also, adjacent angles of a parallelogram is equal to 180°.
So,
x + 40 + 70 = 180
x + 110 = 180
x = 180 - 110
x = 70
Hence the correct option is C. x = 70°.
To learn more about Parallelograms, click here :
https://brainly.com/question/11220936
#SPJ7
5) In the figure, triangle ABC is a right triangle at B. If CD = 15, find BC to the nearest tenth.
Answers
Answer:
BC ≈ 4.0
Step-by-step explanation:
∠ DCA = 180° - 70° = 110° ( adjacent angles )
∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle
∠ DAC = 180° - 140° = 40°
Using the Sine rule in Δ ACD to find common side AC
[tex]\frac{AC}{sin30}[/tex] = [tex]\frac{15}{sin40}[/tex] ( cross- multiply )
AC × sin40° = 15 × sin30° ( divide both sides by sin40° )
AC = [tex]\frac{15sin30}{sin40}[/tex] ≈ 11.668
Using the cosine ratio in right triangle ABC
cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{11.668}[/tex] ( multiply both sides by 11.668 )
11.668 × cos70° = BC , then
BC ≈ 4.0 ( to the nearest tenth )
please help i have an exam next week and im really stuck on this
Answers
Answer:
Area = 96 square cm
Step-by-step explanation:
Area of the figure = (2 x Area of triangles) + Area of square
[tex]Area \ of \ triangle = \frac{1}{2} \times base \ height = \frac{1}{2} \times 8\times 4 = 16cm^2\\\\Area \ of \ square = side \times side = 8 \times 8 = 64cm^2[/tex]
Therefore, [tex]Area \ of \ the\ figure = (2 \times 16) + 64 = 32 + 64 = 96cm^2[/tex]
Either enter an exact answer in terms of π or use 3.14, for π and enter your answer as a decimal?
Answers
Answer:
56.54
Step-by-step explanation:
Circumference of a circle = 2πr
However, this is a semicircle
Curved circumference of the semicircle = πr
Diametrical length = 2r
Therefore, circumference of a semi circle is πr + 2r
Circumference of a semicircle = πr + 2r
r = 11
Circumference of a semicircle = πr + 2r
= (3.14 * 11) + (2 * 11)
= 34.54 + 22
= 56.54
. Formula of the area of a trapezoid is:
Answers
Answer:
Step-by-step explanation:
A=(b1+b2)h/2
what is
√117^2
Please help schools almost over and i need major help
Answers
Answer:
117
Step-by-step explanation:
Step-by-step explanation:
please mark me as brainlest
Step-by-step explanation:
please mark me as brainlest
HELLPPPP!!!!!!
A new company selling sports equipment sold 2,835 helmets in their second year of operation. This is 225% of the number of helmets they sold in their first year.
How many helmets did the company sell in their first year?
Answers
Answer:
1,260 helmets
Step-by-step explanation:
100/225 × 2,835 = 1,260
a five-question quiz is taken in which the first and second questions have four answer choices the third and fourth questions have three answer choices and the last question has five answer choices a student randomly marks an answer for each question, what is the expected number of questions he will answer correctly
Answers
Answer:
1.37
Step-by-step explanation:
1
Which statement describes the linear graph
Answers
Answer:
B.
Step-by-step explanation:
Donna buys a roast that weighs 5.6 pounds and costs $2.25 a pound. Find the amount she pays.
Answers
Answer:
Donna will have to pay $12.60 for the roast
Step-by-step explanation:
I found this by doing 5.6 × 2.25 and that equals 12.6
pls mark me brainliest
Solve for x. Round to the nearest tenth of a degree, if necessary.
K
J
17
28
21-0
Submit Answer
Answer: 0
Answers
Answer:
52.6°
Step-by-step explanation:
cos(theta)= adj/hyp
hyp=28
adj=17
Which of the following best describes the situation below?
The number of miles a car can run depends on the gallons of gasoline in the
tank.
Answers
Answer:
Step-by-step explanation:
What is the circumference of the circle below? (Round your answer to the
nearest tenth.)
11 cm
A. 34.6 cm
B. 17.3 cm
C. 69.1 cm
D. 138.2 cm
HELPPP
Answers
Answer:
C. 69.1
Step-by-step explanation:
Circumference formual = 2pi r
2 × 3.14 × 11
69.1cm
The circumference of the circle is 69.1 cm.
What is circumference?The circumference of a circle refers to the measure of its boundary. If we open a circle and measure the boundary just like we measure a straight line.
Given that a circle with radius 11 cm, we need to find the circumference of the circle,
Circumference = π × 2 × radius
= 3.14 × 2 × 11
= 69.1 cm
Hence, the circumference of the circle is 69.1 cm.
Learn more about circumference, click;
https://brainly.com/question/28757341
#SPJ7
For some integer q, Every odd integer is of the form
(a) q (b) q+1 (c) 2q (d) 2q+1
Answers
Answer:
Every Odd Integer is of the form 2q+1
Take 5 as our test odd Number
2(5) + 1 = 11.
This works and Nothing else will from the set of Options.
SO OPTION D IS LEGIT!
What aspects of distance learning do you hope to keep when we return to classes full time?
Answers
GI = 6, HI = 8, DT = 12, what is IE?
a.12
b.16
c.8
d.4
Answers
Answer:
Option D
Step-by-step explanation:
By the property of intersecting chords,
If two chords are intersecting at a point inside a circle, product of lengths of the line segments on each chord is equal.
DI × EI = HI × GI
12 × EI = 8 × 6
EI = [tex]\frac{48}{12}[/tex]
EI = 4
Therefore, Option D is the correct option.
Please solve, f(x) = mx + b
Answers
Answer:
[tex]m = \frac{4 - 3}{3 - 6} \\ m = \frac{1}{ - 3} \\ f(x) = \frac{ - 1}{3} x + 5
Just help me please don’t ignore me
Answers
Answer:
See https://brainly.com/question/23882263 for A and B parts of the first questiond)
[tex]HF = \sqrt{EH^2+EF^2} = \sqrt{2^2+3^2} = \sqrt{13}[/tex]#2
[tex]d = \sqrt{2^2+5^2} = \sqrt{4+25} = \sqrt{29}[/tex]#3
Diagonals are perpendicular. Side length of the rhombus:
[tex]a = \sqrt{(8/2)^2+(6/2)^2} = \sqrt{4^2+3^2} = \sqrt{25} = 5[/tex]Perimeter:
P = 4a = 4(5) = 20please solve and find the value of x.
Answers
Answer:
28
Step-by-step explanation:
Diagonals of a rectangle are congruent and bisects each other. So, using this property and By exterior angle theorem:
2x° = 56°
2x = 56
x = 56/2
x = 28
Answer: x=28
Step-by-step explanation:
A line has to be 180 degrees
You have 56, so 180-55=124 degrees
Angles are parallel because of the two double curve line.
Now you have that one triangle with the angle of 124degrees and x degrees and the third angle is unknown.
You know that a triangle is 180 degrees
So 180-124=56 degrees
So the unknown angle and the x angle together have to equal 56 degrees.
Since both angles are the same all you do is 56/2.
Now x= 28degrees
PLEASE HELP ID APPRECIATE IT
Answers
Answer:
94281 km +- 1 km
572.2 km +- 0.1 km
Simplify this expression.
(2+3)65-7
Answers
Answer:
Make me Brainliest
Step-by-step explanation:
=5*65-7
=325-7
=318
What is the slope of the line that passes through the points (6, -5) and (6, —8)?
Write your answer in simplest form.
Answers
Answer:
(y2 -y1) / (x2 - x1)
Step-by-step explanation:
use that formula. The answer should be -3/0 which doesn't make sense. Are you sure you have your x values correct? Since in that case it would be a straight line and the equation for that would be x = 6 since it is a straight line up with no y intercept.
Hope that helped
Answer:
Undefined
Step-by-step explanation:
GIVEN :-
A line passes through two points , and their coordinates are given below :-
(x₁ , y₁) = (6 , -5)(x₂ , y₂) = (6 , -8)TO FIND :-
Slope of the lineFORMULAE TO KNOW BEFORE SOLVING :-
Lets say there's a line passing through (x₁ , y₁) & (x₂ , y₂).
[tex]=> Slope \: of \: the \: line = \frac{Rise}{Run} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
SOLUTION :-
According to the question ,
[tex]=> Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-8 -(-5)}{6 - 6} = \frac{-8 + 5}{0} = \frac{-3}{0}[/tex] = undefined (∵ Anything divided by 0 is undefined.)
simply the complex numbers: (2 + 5i)(1 – 3i)
Answers
Answer:
17 just multiply the like dot product of vectors
1. The angle θ lies in Quadrant I.
sinθ=2/5
What is cosθ?
√−21/5
−2/5
√21/5
2/5
Answers
Answer:
2/5.......................
Help plz..And No links!! I repeat No links!!
Answers
Answer:
Step-by-step explanation:
36/16=90/r(since they are similar use this ratio)
do cross multiplication
16*90=36*r
1440=36r
1440/36=r
40=r
Answer:
[tex] \frac{36}{16} = \frac{90}{x} \\ x = 40 \: mm[/tex]
Which angles are supplementary to∠4? Select all that apply.
Answers
9514 1404 393
Answer:
B, D, E
Step-by-step explanation:
All of the acute angles are congruent to each other. All of the obtuse angles are supplementary to them and are also congruent to each other. Angles 2, 3, 6, 7 are supplementary to angle 4. The ones on the list of choices are ...
∠2, ∠6, ∠7