Answer: (1, -2)
Concept:
There are three general ways to solve the system of equations:
Elimination SubstitutionGraphingHere, we are going to use the elimination method to solve.
Solve:
Given
[tex]\left \{ {{y=-5x+3} \atop {2x-3y=8}} \right.[/tex]
Convert the first equation's arrangement to correlate with the second equation
[tex]\left \{ {{5x + y=3} \atop {2x-3y=8}} \right.[/tex]
Multiply 3 on both sides in the first equation
[tex]\left \{ {{15x + 3y=9} \atop {2x-3y=8}} \right.[/tex]
Eliminate [y] by adding the two equations
[tex]17x = 17[/tex]
Divide both sides by 17
[tex]17x / 17=17/17[/tex]
[tex]x=1[/tex]
[tex]y=-5x+3=-5(1)+3=-5+3=-2[/tex]
[tex](1, -2)[/tex]
Hope this helps!! :)
Please let me know if you have any questions
What is the square root of 1 to the second power
Answer:
1
Step-by-step explanation:
The second power and square root cancel each other (second power means squared by the way)
To divide 5472 by 81 using the shortened form of the division algorithm, what should be your first thought? Select from the drop-down menus to correctly complete the thought. "How many times does 81 divides into Choose... ?"
5
54
547
5472
Answer:
"How many times does 81 divide into 547?"
<3 and <4 are supplementary angles. Given m<3 = 56°, find m<4.
Both are supplementary angles.
[tex]\\ \rm{:}\twoheadrightarrow m<3+m<4=180[/tex]
[tex]\\ \rm{:}\twoheadrightarrow 56+x=180[/tex]
[tex]\\ \rm{:}\twoheadrightarrow x=180-56[/tex]
[tex]\\ \rm{:}\twoheadrightarrow x=124[/tex]
A library wishes to build an access ramp for wheelchairs. The main entrance of the library is 8 ft. above sidewalk level. If the architect recommends a grade (angle of elevation) of 6°, how long must the access ramp be?
Answer:
About 76.5 ft.
Step-by-step explanation:
Draw a diagram of a right triangle. The shorter leg represents the height of the main entrance of the library, which is 8 ft. The longer leg won't matter in this case. The hypotenuse is what we're trying to find, so mark it as x. We know there's a 6° angle of elevation, so the 30° angle of the triangle will be 6° in this case. Now we have to use trig. Think of Soh Cah Toa. The 6° is opposite from 8 and the hypotenuse is x. So, the equation to find x would be:
sin (6°) = 8/x
Multiply both sides by x
sin (6°) * x = 8
Divide both sides by sin (6°)
x = 8/sin (6°)
When putting it into a calculator, your answer should be 76.534, which rounds to 76.5 ft.
3(y+2)-5=22
Solution of the equation?
Answer:
[tex]3(y + 2) - 5 = 22 \\ 3(y + 2) = 27 \\ (y + 2) = 9 \\ y = 9 - 2 \\ y = 7[/tex]
Answer: 7
Step-by-step explanation:
3y+6-5=22
3y+1=22
3y=22-1
y=21/3
y=7
Calculate the volume of a warehouse that has inside dimensions of 22.4 meters by 11.3 meters by 5.2 meters.
The volume of the warehouse with the three dimensions is V = 1,316.224 cubic meters.
Given data:
To calculate the volume of the warehouse, you need to multiply its length, width, and height:
Volume = Length * Width * Height
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Given the dimensions:
Length = 22.4 meters
Width = 11.3 meters
Height = 5.2 meters
Substitute these values into the formula:
Volume = 22.4 m × 11.3 m × 5.2 m
Calculate the result:
Volume = 1,316.224 m³
So, the volume of the warehouse is approximately 1,316.224 cubic meters.
To learn more about volume of rectangle, refer:
https://brainly.com/question/25422723
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through: (1, 1), slope = 6
Write the slope-intercept form of the equation of the line through the given point with the givenslope.
Answer:
[tex]y=6x-5[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept
We're given that the slope is 6. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=6x+b[/tex]
Now, to solve for the y-intercept, plug in the point (1,1) and solve for b:
[tex]1=6(1)+b\\1=6+b\\b=-5[/tex]
Therefore, the y-intercept of the line is -5. Plug this back into [tex]y=6x+b[/tex]:
[tex]y=6x+(-5)\\y=6x-5[/tex]
I hope this helps!
IF(x)=3x+7, Find the image of 5
Answer:
f(5) = 22
Step-by-step explanation:
Substitute x = 5 into f(x) for image , that is
f(5) = 3(5) + 7 = 15 + 7 = 22
c = 8 π a b will give brainliest and 30 points
Answer:
2nd option
Step-by-step explanation:
Given
c = 8πab ( isolate a by dividing both sides by 8πb
[tex]\frac{c}{8\pi b}[/tex] = a
There are 20 identical solid hemispheres. The curved surface and the flat surface of each hemisphereare are to be painted red and yellow respectively. Find the ratio of the amount of red paint needed to the amount of yellow paint needed.
Answer:
2:1.
Step-by-step explanation:
The area of a red curved surface = 2πr^2.
The area of the yellow flat surface = πr^2.
This is the case for all the hemispheres.
Therefore the required ratio = 2πr^2 : πr^2
= 2:1.
give an example of a true statement that has a false converse?
it’s for geometry math.
There are many examples you could go with, but one is "If a shape is a square, then it is always a rectangle".
The converse has us flip the statement into "If a shape is a rectangle, then it is always a square" which is not true. Some rectangles aren't squares.
------------------------
Another example could be "If it is a dog, then it is an animal" which is always true. The flip of it is "If it's an animal, then its a dog" which is false because the animal could be a cat for instance.
Amelia drives 10 miles in 20 minutes. If she drove three hours in total at the same rate, how far did she go? subquestion - how many minutes did she drive in total
Answer:
Amelia drove 90 miles in 3 hours.
Step-by-step explanation:
she drove 10 miles in 20 minutes
we multiply this by 3, and get
30 miles in an hour ( 60 minutes)
then we multiply this by 3 and get
90 miles in 4 hours (180 minutes) :)
300 divided by 6 times to the 2nd power divided by 3.14, i need help.
Answer:
Step-by-step explanation:
300÷6x²÷3.14=2.6539278131634819533
six boys went on a camping trip . their equipment weight was138 kg if the equipment was divided equally in weight how much did each boy carry
Answer:
138 kg / 6 = 23 kg per boy
Which of the following is the equation for the line of symmetry in this figure?
IN A GIVEN FIGURE ABCD IS A SQUARE THE MEASURE OF ANGLE DBC IS
Answer:
Where is figure. Hope you understand me
Step-by-step explanation:
Please mark me brainliest thanks
How many pumps will it take to fill the giant soccer ball.
help me please urgent
Answer:
3+ x • {2x} + 5 = 858
Step-by-step explanation:
<33 hoped this helped !!!
Convert 99000 milligrams into pounds. Round your answer to the nearest hundredth.
Answer:
0.22
Step-by-step explanation:
cb-b; use b = - 3, c = - 1
Answer:
6Step-by-step explanation:
Let b= - 3, c= - 1cb - b = ?(-1)(-3) - (-3) = ?3 - (-3) = 6[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
i need help on this problem:(
Answer:
see image
Step-by-step explanation:
The hole for a support needs to be 5 feet deep. It is currently 1 foot 8
inches deep. How much deeper must the hole be? Use the conversion
factor 12 inches = 1 foot.
Answer:
60
12 inches=1 foot so 12 ×5=60
Answer:
60
Step-by-step explanation:
lol
question 17 i need help answer is -16 but don’t know how
Answer:
-16
Step-by-step explanation:
-k² -(3k-5n)+4n k=-1 , n= -2
= -(-1)² - ( 3(-1) -5(-2) )+4(-2)
= -1-(-3+10)-8
= -1-(7)-8
= -1-7-8
= -16
hi please help i’ll give brain
Answer:
The GCF is going to be 2
Step-by-step explanation:
This Is how I find the GCF of 3 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here
The prime factorization of 8, 2 × 2 × 2 = 8
The prime factorization of 18, 2 × 3 × 3 = 18
The prime factorization of 70, 2 × 5 × 7 = 70
The one and THE only common factor is 2, which is going to be the GCF
Can someone help me please?
Answer:
Associative property.
Step-by-step explanation:
[tex]assosiative \: property \\ for \: any \: nubers \: likeur \: question \: \\ didnt \: affect \: theanswer \\ thank \: you[/tex]
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP
Answer:
please help me my friend
convert 5476 to base seven
Assuming 5476 is given in base 10.
We have
5476 = 2×2401 + 674 = 2×7⁴ + 674
674 = 1×343 + 331 = 1×7³ + 331
331 = 6×49 + 37 = 6×7² + 37
37 = 5×7 + 2 = 5×7¹ + 2
2 = 2×1 = 2×7⁰
so that
5476₁₀ = 21652₇
Find the mean, median, mode, and range of the data set.
9, 3, 15, 7, 2, 4, 3
If necessary, round your answers to the nearest tenth.
Answer:
Step-by-step explanation:
Mean = Sum of data ÷ number of data set
[tex]=\dfrac{9+3+15+7+2+4+3}{7}\\\\=\dfrac{43}{7}\\\\= 6.14\\\\= 6.1[/tex]
Median:
Arrange the data in ascending order:
2 , 3 , 3 , 4 , 7 , 9 , 15
Middle term is the median of the data set
Median = 4th term = 4
Mode:
Mode is the data whose is frequency is more.
So, mode = 3
Range = Maximum - minimum
= 15 - 2
= 13
geometry #1 please will give brainliest
Step-by-step explanation:
If two lines, segments, or rays intersect at right angles, then they are perpendicular. If two angles are complementary, then their measures add up to 90 degrees. If two angles' measures add up to 90 degrees, then they are complementary. If two angles are supplementary, then their measures add up to 180 degrees.
To verify Pythagoras theorem.
Answer:
The proof of Pythagorean Theorem in mathematics is very important. In a right angle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. States that in a right triangle that, the square of a (a²) plus the square of b (b²) is equal to the square of c (c²).
