Answer:
D. coincidentStep-by-step explanation:
An coincident system of equations means that it has infinite solutions, because one line is on the other one. This happens when their equation are the same, or their "parent" line is the same.
So, given equations are:
6x + 4y = 2 and 3x + 2y = 1
Observe that if we divide the first by 2, we have
[tex]\frac{6x+4y}{2} =\frac{2}{2}[/tex]
[tex]\frac{6x}{2}+\frac{4y}{2} =1[/tex]
[tex]3x+2y=1[/tex]
As you can see, using the first equation, we found that it has the same "parent" equation than the second equation. In other words, they are basically the same. This means that they represent the same line, so, the system is coincident and they have infinite solutions.
The answer is coincident :)
denny's average heart rate is 120 beats per minute what is the ratio of his heart beats per minute with heart beat per second?
Francis works and earns $3437 dollars but on a pay stub pays 42% to tax.
Answer:
Francis has $1,993.46 left of his pay stub
Step-by-step explanation:
earns $3437 dollars
42% to tax (yikes! almost half of their pay)
42% of $3437 dollars: $3437 x 0.42 = 1,443.54
Francis is paying $1,443.54 in taxes
$3437 - $1,443.54 = $1,993.46
Solve for x, please show work!
Answer:
Can you show me the question? Because the picture doesn't have enough datum
Jamal works at a sporting goods store on the weekends. Suppose last weekend he worked
12.5 hours and earned $110. How much money does Jamal earn per hour?
* Write an equation you can use to solve the problem , then find the solution
Answer:
$8.8 per hour
Step-by-step explanation:
Well, the equation is simple.
Time (hours) * Money (per hour) = Total
We know the time he worked for and the total amount he earned, so just replace in this equation and find the unknown number
12.5 * money = 110
To find the money he earns per hour we should just simply divide the total amount he earned by the hours he spent working
money = 110/12.5
money = 8.8$
You can also check it out to make sure it's correct.
If he earns 8.8$ per hour and worked for 12.5 hours how much he'll earn? Let's find out
8.8 * 12.5 =?
8.8 * 12.5 = 110, the same total amount so our solution must be correct.
Is AABC™ADEF? If so, identify the similarity postulate or theorem that
applies.
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined
Answer:
A. Similar - AA
Step-by-step explanation:
The AA similarity postulate states that two triangles are similar if they have two congruent corresponding angles.
The triangles in the picture have two corresponding congruent angles.
Similar triangles may or may not be congruent
The true statement is (a) Similar - AA
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
From the complete question, we have the following highlights about the triangles
The angles at points A and D are congruent (85 degrees)
The angles at points B and E are congruent (30 degrees)
This means that the triangles are similar.
The similarity theorem is the AA theorem i.e. Angle-Angle
Hence, the true statement is (a) Similar - AA
Read more about similar triangles at:
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mZR
R
S
10x - 8
98 °
12x + 4
Q
T
Answer:
m∠R = 72°; m∠U = 65°
Step-by-step explanation:
We know that in any quadrilateral, the total sum of the angles will always add up to 360°.
For number 26, we can use this equation to find x and m∠R:[tex]90+98+12x+4+10x-8=360\\(90+98+4-8)+(12x+10x)=360\\184+22x=360\\22x=176\\x=8[/tex]
m∠R = 10 (8) - 8 = 80 - 8 = 72°
For number 28, we can use this equation to find x and m∠U
[tex]96+88+11x+1+7x-5=360\\(96+88+1-5)+(11x+7x)=360\\180+18x=360\\18x=180\\x=10[/tex]
m∠U = 7 (10) - 5 = 70 - 5 = 65°
2. The bases of the trapezisid (x-14) cm and (x+2) cm ats medien is 30 cm long, how long is the shorter base
Answer:
22cm
Step-by-step explanation:
Formula:
MEDIAN = 1/2(B1+B2)
Solution:
30= 1/2[(x-14)+(x+2)]
x = 36 cm
B1= 36-14 = 22 cm (shorter base)
B2= 36+2 = 38 cm (longer base)
The Shorter Base is 22cm.
miguel is making chocolate cupcakes. The recipe that he is following uses 2/3 cup of sugar, and miguel needs to make 4 batches of cupcakes. If he only has 3 cups of sugar, can miguel still make all of the cupcakes?
Answer:
yes
Step-by-step explanation:
Each batch requires 2/3 c / batch
time 4 batches: 4 * 2/3 = 8/3 cups = 2 2/3 cups
he has 3 cups , so he has enough to make 4 batches
1. Find the value of x in this figure.
A) 50
B) 60
C) 40
D) 30
Answer:
x = 30
Step-by-step explanation:
x = 90 - 60 = 30
x = 30
.................................................
i need help with 7th grade math please 30 points need help ASAP + brainleist
Answer:
See below ~
Step-by-step explanation:
Circle 1
Circumference = 2πr = 2 x 3.14 x 2.5 = 5 x 3.14 = 15.7 mArea = πr² = 3.14 x (2.5)² = 3.14 x 6.25 = 19.625 m²Circle 2
Area = πr² = 3.14 x 1² = 3.14 mm²Circumference = 2πr = 2 x 3.14 x 1 = 6.28 mmAnswer:
circumference with diameter 5=15.7m
area with diameter 5=19.625m²
simplify the expression
5(m+1) -1 =
Answer:
We would distribute the 5,
5(m+1) - 1 = 5m + 5 - 1
5m + 4
Step-by-step explanation:
NEED HELP QUICKLY!!
Find the value of the trigonometric ratio. Reduce the fraction when you can. tan X 40 Z X A) C) 5 4 5 32 Y 24 B) D) 433335
Work Shown:
tan(angle) = opposite/adjacent
tan(X) = ZY/XY
tan(X) = 32/24
tan(X) = (8*4)/(8*3)
tan(X) = 4/3
Can someone please help me with this
Answer:
First step, find the missing angle (you will need this later on)
We know that the sum of all angles in a triangle equals to 180°, so
180° - 65° - 40° = 75° *that's your angle (next to the point L)
Now, identify each side (as shown in my drawing attached to this message)
The law of sines tells us that
(for example) the side opposite to L (highlighted in pink in the drawing) divided by the sine of the angle at the point L (in our case, 75°) creates a ratio that remains the same for the other sides.
So,
pink side (opposite to L)/ sin 75 (angle at L) = yellow side (opposite to J)/ sin 65 (angle at J) = blue side (opposite to K)/ sin 40 (angle at K)
*Careful, since we were not given the length of one side, you cannot find actual values for each side. Although, you can use the law of sines to logically find out which length is the longest and which one is the shortest.
*Notice that the sine of the angle relates to the length of the coloured sides
Calculate the following: sin 75, sin 40, sin 65.
Once you do that, you will realize that sin 40 = to the smallest value and that sin 75 gives you the largest value.
Thus, sin 40 < sin 65< sin 75
Which corresponds to (from smallest to largest):
blue side, yellow side, pink side
*Now, write your answer in a mathematical format (using J,L,K points)
blue = JL (explanation: it connects the two points, LJ is also a valid answer)
yellow = LK
pink= JK
ANSWER: JL, LK, JK
Step-by-step explanation:
Use the Law of Sines *because you don't have a right angle triangle.
A new website received 1700 hits within 10 hours of going live what is the maximum number of hits it might receive in 24 hours if this triend continues?
Answer:
4080 hits.
Step-by-step explanation:
By proportion that would be 1700 * 24/10
= 4080.
Find equation of the straight line that passes through the point (-1,1) and is perpendicular to 2y = 3x +2
Answer:
3y = -2x + 1
Step-by-step explanation:
Equation of given line is 2y = 3x + 2
==> y = (2/2)x + 1
Slope = 3/2
Slope of perpendicular line is negative of reciprocal of given line ie slope = -2/3
So equation of perpendicular line is of the form
y = (-2/3)x + c where c is a constant
Given that this passes thru x= -1, y =1 we can substitute these values in the above to get
1 = (-2/3)(-1) + c
This yields 1 = (2/3) + c or c = 1-2/3 = 1/3
So the equation of the perpendicular line is
y = (-2/3)x + 1/3
3y = -2x + 1
James has $150 in savings and earns an additional $50 per week, w, cutting grass. Which equation represents the total, t, in his account?
Answer:y=50x+150
Step-by-step explanation:
50x is the variable that will change the amount of money he has each week. 150 is the amount he currently has
There are 10 participants in the Olympic 100 meter sprint. If first, second, and third place get medals, how many possible outcomes of medal winners are there if Usain Bolt places first?
Answer:
56
Step-by-step explanation:
with Usain Bolt getting the the first place there is only 9 other contestants that can get the two other available medal position. When the second place is taken, there will be 8 remaining contestants for a third place therefore you do 9 multiplied by 8 to get 56 differrent combinations of contestants for the third or second place medal
In real life length can't be a?
Answer:
depends on where you look
Which system of linear equations makes the sentence true? is a system of linear equations representing intersecting lines. is a system of linear equations representing parallel lines. is a system of linear equations representing coincidental lines.
The system of the equations 3x = 5y - 22 and 12x = 20y - 11 are parallel lines. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equations are given below.
− 3x + 5y = 22 or 3x = 5y − 22 ...1
20y − 11 = 12x or 12x = 20y − 11 ...2
The system of the equations follows the condition that will be
12/3 = 20/5 ≠ 11/22
4 = 4 ≠ 1/2
This is the condition for the parallel lines or no solution.
More about the linear system link is given below.
https://brainly.com/question/20379472
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Answer:
2x + y = 4, 5y = 10x + 4
is a system of linear equations representing intersecting lines.
2x + 3y = 21, -6y = 4x + 1
is a system of linear equations representing parallel lines.
-2x + 4y = 9, 8y = 4x + 18
is a system of linear equations representing coincidental lines.
Step-by-step explanation:
Graphed them all.
please help!! Trying to catch up on my old due assignments before summer
If you’re able to, please explain how you did it
Answer:
A = 50.24 inch^2
Step-by-step explanation:
Area = πr^2
So we have r =4inch and let π = 3.14
A = 3.14 * 4^2
A = 50.24 inch^2
Find the equation of a line parallel to y - 5 = 6x - 10 that passes through the point (4, 10). (answer in slope-intercept form) A) y = 6x - 14 B) y = 6x + 14 C) y = -6x - 14 D) y = 1 6 x - 14
- - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
Find the equation of a line parallel to y-5=6x-10 that passes through (4,10)
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]
❖ If lines are parallel to each other, they have the same slope.
So the slope of the line parallel to y-5=6x-10 is 6.
Now, since we're also given the point crossed by the line, we write the equation in point-slope form:-
[tex]\sf{y-y_1=m(x-x_1)}[/tex]
Substitute 10 for y₁, 6 for m and 4 for x₁:-
[tex]\sf{y-10=6(x-4)}[/tex]
On simplification,
[tex]\sf{y-10=6x-24}[/tex]
Adding 10 to both sides results in:-
[tex]\sf{y=6x-14}[/tex]
So we conclude that Option A is correct.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
in which number does the digit 5 have a value that is 10 times as great as the value of the digit 5 in 253,829
Moving 5 one digit to the left, one number in which the value of digit 5 is 10 times as great as in 253,829 is in 538,290.
What does it mean to move a digit one position to the left?It means that the value of the digit is multiplied by 10.
Hence, moving the digit 5 one position to the left, and appending a zero at the end, generating the number 538,290, the value of digit 5 is 10 times as great as in 253,829.
More can be learned about the value of a digit at https://brainly.com/question/2041524
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Alexandra has a bag of stickers, 1/4 are red, 1/3 are black, 1/8 are green, and 1/12 are yellow. She picks a sticker without looking. What color is she MOST likely to choose?
Answer:
las negras, 1/3 es mayor
Step-by-step explanation:
Espero te sirva <3
What expression is equivalent to
27+2 x 32
Answer:
well when its simplyfied its 91
Step-by-step explanation:
27 + 64 mutipliction first
27 + 64 = 91
Add.
−4 3/8 + 8 6/7
It should be a mixed number.
Answer:
4 27/56
Step-by-step explanation:
−4 3/8 + 8 6/7
8 6/7−4 3/8
subtract whole numbers 8-4=4
combine fractions 6/7-3/8=27/56
4+27/56
=4 27/56
A solid aluminum sculpture in the shape of a rectangular prism has a mass of 129, 600 kilograms. The length of the sculpture is 6 meters, the width is 2 meters, and the height is 4 meters. What is the density of aluminum?
If the volume of the aluminum will be 48 cubic m. Then the density of the aluminum will be 2700 kg per cubic m.
What is density?Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.
The mass and density relation is given as
Density = mass/volume
A solid aluminum sculpture in the shape of a rectangular prism has a mass of 129,600 kilograms.
The length of the sculpture is 6 meters, the width is 2 meters, and the height is 4 meters.
Then the density of the aluminum will be
The volume of the aluminum brick will be
V = 6 x 2 x 4
V = 48 cubic m
Then the density will be
D = 129600/48
D = 2700 kg per cubic m
To learn more about the density refer to the link;
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how much greater is 8 x 10 to the 5 power then 8 x 10 to the -1 power
Answer:
8x10 to the 5 power is 8,000,000 and 8x10 to the -1 power is .8
Step-by-step explanation:
To solve the first problem, you multiply 8 and 10 which gives you 80. Next you move the decimal point 5 spaces to the right which gives you 8,000,000. To solve the second problem, you multiply 8 and 10 which gives you 80. Because you have a negative power you move your decimal point to the left 1 space which gives you .8
Find the area K of the triangle.
a=4, b=5, C = 25°
K=
square units
(Round to two decimal places
as
needed.)
Answer:
4.23 square units
Step-by-step explanation:
The area of the triangle is given by the formula ...
K = 1/2ab·sin(C)
__
Filling in the given values, we find the area to be ...
K = 1/2(4)(5)sin(25°) = 4.23 . . . . square units
If you vertically stretch the the exponential function f(x)=2x by a factor of 4, what is the equation of the new function?
Answer:
The answer would be fx=4(2x)
Step-by-step explanation:
have a good day!!
What is the area of triangle TUV?
Answer:[tex]5.25cm^2[/tex]
Step-by-step explanation:
The equation of finding the area of a triangle is 1/2 base x height so the base is 7 and the height is 1.5. The slant of the triangle doesn't change the area and those measurements are just there to confuse you. so just input the measurements to get:
1/2 x 7 x 1.5 = 3.5 x 1.5 = 5.25cm^2
The area = [tex]5.25 cm^2[/tex]