Draw graph of straight lines to find approximate solution to these simultaneous equations . y = 3x + 7 and 2y + x = 2
Answers
Answer:
(-1.714, 1.857)
Step-by-step explanation:
Here, we want to find the approximate solution to the system of linear equations
We start by plotting the graph of the lines
We have the plot as shown below;
the red line represents the first equation while the blue line represents the second equation
We have the solution as the point at which the two lines meet
The solution to this is;
(-1.714, 1.857)
Related Questions
I’m studying and I have trouble with this problem and I need an explanation. Please help me! Thank you
Answers
Answer:
Step-by-step explanation:
Im going to assume they want x+108.
You have 2 expressions sitting on a line, so when added to each other they must = 180
So add and set up an equality
x+108+x+78=180
Combine like terms
2x+186=180
Solve
2x+186=180
-180 -180
2x+6=0
-6 -6
2x=-6
________
2
x=-3
Substitute X for -3
-3+108=
105.
For which of the equations below is x = 2 a solution?
A 2 + x = 2
B x - 7 = 5
C 3x = 6
Answers
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A= x=0
B= x=12
C= x=2
Please solve these geometry questions.
Answers
Answer: I don't know how to do the first question but I think I did the 2nd question correctly I believe we learned this in 7th grade. I am a freshman so if it is wrong I am sorry anyways the answers for #2 are
A: 34 for JK
B: 15 for MN
and C: 30 for JL
Perimeter: is 79.
This was fun to do lol ik it wasn't much but better than nothing.
Step-by-step explanation:
7. Maria quiere agrandar la foto de su
graduación de manera proporcional de
tal manera que su área sea 16 veces la
de la original. Si la que se muestra a
continuación tiene las medidas de la
foto original, ¿cuál será el perimetro de
la nueva foto?
6
24
960
450
240
76
Answers
Answer:
the perimeter is 960
Step-by-step explanation:
The computation of the perimeter is shown below;
If we assume
= (24 × 2) + (6 × 2)
= 48 + 12
= 60
And, the area is 16 times to that of original So
= 60 × 16
Hence, the perimeter is 960
can someone help solve? will give brainliest
Answers
Answer:
Step-by-step explanation:
Your answer
About all the sides are equal so we can say (10x + 44) side's triagle is twice than another triangle
So, 10x + 44 = 2( 8x - 23)
..... 10x +44 = 16x -46
...... X = 15
Mark it as Brainlist answer. Follow me.
Is 16x2 - 16x + 4 a perfect square?
Answers
Answer:
Yes
Step-by-step explanation:
Use the completing the square method:
16(x^2-x)+4
=16((x-1/2)^2 - (1/2)^2)+4
=16((x-1/2)^2 - 1/4)+4
=16((x-1/2)^2) - 16/4 + 4
=16(x-1/2)^2
=4^2(x-1/2)^2
The product of two square is itself a square.
What is the sum of k° + i°?
Answers
Answer:
we have:
k + 70° = 180°
=> k = 110°
u can see that i = 180°
=> k + i = 110° + 180° = 290°
Step-by-step explanation:
Kareem and Lena each open a savings account today. Kareem opened his account starting amount of $370, and he's going to put a $95 per month. Lena opened her account with the starting amount of $850, and she's going to put in $35 per month. let x be the number of months after today.
a- for each amount write an expression for the amount of money in the account after x months
b-write an equation to show into accounts would have the same amount of money
Answers
Answer:
D= It is the total number of data points in the data set, which is also the sum of the row totals or the column totals.
Step-by-step explanation:
calculate the middle number between 1.5 and 7.1
Answers
Answer:
4.3
Step-by-step explanation:
Add the numbers and divide by 2 , finding the average, that is
middle number = [tex]\frac{1.5+7.1}{2}[/tex] = [tex]\frac{8.6}{2}[/tex] = 4.3
Answer:
4.3 is the answer
Step-by-step explanation:
(1.5 + 7.1 ) ÷ 2 = 4.3
I need help with this
Answers
THE ANSWER IS NOT B
If you can’t see the picture plz zoom in.
The box plots show Theo's math scores and language arts scores.
About 50% of Theo's scores are in which range for each subject?
60 to 85 for math: 60 to 80 for language arts
55 to 90 for math: 50 to 90 for language arts
55 to 60 for math: 50 to 60 for language arts
85 to 90 for math 80 to 90 for language arts
Answers
Answer:
B
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through the given points. 0,4 4,2
Answers
First, find the slope: m = Δy/Δx = (2-4)/(4-0) = -0.5
The "intercept" in the slope-intercept form of a line is the y-intercept. And at the y-intercept, x = 0. Conveniently, one of our points has an x = 0, i.e., the point (0,4). So, our equation would be y = -0.5x + 4.
If you wanted to double-check, you could use the point (4,2) to find the point-slope equation of the line and see if it matches up with the slope-intercept form above. Given a slope of -0.5 and a point (4,2), our point-slope equation would be y - 2 = -0.5(x - 4). If we expand this, we get y - 2 = -0.5x + 2. Solving for y, we obtain y = -0.5x + 4.
Thus, y = -0.5x + 4 would be our equation.
Rafael was asked to construct a square inscribed in a circle. He drew a circle and
a diameter of the circle. Describe how to complete his construction. Then, complete
the construction.
Answers
Answer:
here you go
Step-by-step explanation:
help pls
. ________.
Answers
Answer:
#8) x = 12
Step-by-step explanation:
vertical angles are congruent
5x + 10 = 70
5x = 60
x = 12
At the World Cup, 25% of the teams are from South American countries. If there are 40 teams in the World Cup, how many are from South American countries? Construct a double number line if needed.
Answers
Answer:
10
Step-by-step explanation:
100% = 40 teams
1% = 40 ÷ 100 = 0.40
25% = 0.40 x 25 = 10
Answer:
10
Step-by-step explanation:
100%/4=25%
40/4=10
You have to divide 100% by 4 because 25 goes into 100 four times.
What ever you do on the bottom or top you to do it top or bottom.
So 40 divide by 4 is 10.
Then you have you answer.
farmer johnson is planting a garden in the park. he has a square garden bed that is 21 feet long. He divides the bed into squares for vegetables. The squares are 3 by 3 feet long.How many different vegetable squares could he have?
Answers
Answer:
3
Step-by-step explanation:
3x3=9
21/9= 3
what's x - y (x = 5, y = -5)
Answers
Answer:
10
Step-by-step explanation:
x - y = 5 - -5
= 5 + 5
= 10
Answer: 10
Step-by-step explanation:
5-(-5) is addition. 5+5=10
.A 15 m ladder rests against a wall at an angle of 60° with the ground. How far is the
foot of the ladde from the wall?
Answers
9514 1404 393
Answer:
7.5 m
Step-by-step explanation:
The cosine relation applies.
Cos = Adjacent/Hypotenuse
cos(60°) = (distance to wall)/(15 m)
distance to wall = (15 m)cos(60°) = (15 m)(1/2) = 7.5 m
The foot of the ladder is 7.5 m from the wall.
Consider an equilateral triangle that is small enough to fit in your pocket. Now consider an equilateral triangle that is big enough to fill a movie screen! What must be true about the measure of each of the interior angles for these two triangles? Does the size of a triangle influence its angle measures? What about other polygons?
Answers
Answer:
Step-by-step explanation:
First Question: Equilateral triangles all have the same interior angles. 60 degrees. Size does not make the angles bigger. It makes the sides bigger.
Second Question: No the size does not influence the size of the interior angle.
Third Question: That's true for all polygons. Size is not affect the interior angle size.
PLS HELPP! :)
What is the radius with a circumference of 122 in?
Answers
Answer:
this is the answer r≈19.42in
because you radius with a circumference of 122in
and that's your answer
Step-by-step explanation:
hope it works
What is a improper fraction and a mixed multiplication
Answers
Answer:
Step-by-step explanation:
An improper fraction is a fraction that the numerator is greater than the denominator. As for a mixed fraction, that is a whole number with a fraction next to it.
at a school 111 students play at least one sport this is 30% of the students at the school how many students are at the school
Answers
Mark as Branliest if you like the answer and want to be ansewered frequently within no time
Using the triangle in the diagram, what would be the coordinate of A' if reflected over the line x=2 ? *
(0, 3)
(0, -3)
(4, -3)
(-4, 3)
Answers
Greg studied for 12 minutes. This is 40% of the time he wants to study today. How many more minutes does Greg need to study today?
Answers
Answer:
18 More Minutes
Step-by-step explanation:
Hi,
I think I can help.
What I would first do here is try to find the value of 10% relative to the 12 minutes. If we find what 10% is we can multiply that to get 100% to find the total amount of minutes he wants to study. We can then subtract the time already studied to find our answer.
To do this we want to take the 40% we have and find 10. We can do 40/4 to find this since 40 divided by 4 is actually 10.
But if we do this we also have to do with to the number it is relating to / representing. Which is 12. (12 minutes = 40%)
So we can do :
40 / 4
=
10%
Also
12 / 4
=
3
So with this we can conclude that 10% of his total time is 3 minutes.
Now lets multiply this by 10 to get the 100% we are looking for so we can get the total amount of time he spent studying.
So :
10% x 10
=
100%
3 x 10
=
30 minutes
So his total time is 30 minutes of studying, but we have to find how many more minutes after his 12.
We can now simply take the total time and take off the time spent already to find this answer :
30 - 12
=
18 minutes
That is your answer, he needs to study 18 more minutes.
I hope this helps!
If you have any questions or concerns please comment or message me! :)
12. We use rule/law #2 of logarithms to condense log 2 - log 5.
True
O False
Answers
Answer:
log (2/5)
Step-by-step explanation:
The rule/law you have in mind is as follows: log a - log b = log (a/b).
Thus, your log 2 - log 5 = log (2/5).
I need help!!! PLEASE HELP ME
Answers
Answer: y=8
Step-by-step explanation:
A right triangle is labeled with the hypotenuse 12m and an acute angle 23 degree
. Which of the following equations could be used to find the side length of one of the legs of the triangle.
A) sin. 23=12/x
B)cos =12/x
c)sin 23 =x/12
D) tan 23=x/12
Answers
Answer:
sin23= x/12
sin23(12)=x
0.391(12)=x
x=4.7 or 5
Problem: A pole is being held up with a 10 meter rope. The cable is making a 42° of elevation from the ground to
the top of the pole. What is the distance from the base of the pole to the base of the rope ? Round your answer
to the nearest tenth of a meter.
Answers
Answer:
x = 7.4
Step-by-step explanation:
cos(42°) = x/10 or distance from bases / rope length
Using the calculator find the value of cos(42°):
cos(42°) = 0.74 = x/10
Find x using the value of cos(42°):
x/10 = 0.74
x = 7.4
% of 75 is 25
% of 4 is 7
% of 15 is 6
Answers
x * 75 = 25 x = 33.3%
x * 4 = 7 x = 175%
x * 15 = 6 x = 40%
Find y when x = -3 for the following equation: y = 6x + 8 PLS HELP ASAP
Answers
Answer:
y= -10
Step-by-step explanation:
y=6(-3)+8
y=-18+8
y= -10