The solution of the given system of equations is (0, -4)
We will use the substitution method.
Given the system of equations:
-3x - y = 4 ............ (1)
4x + 2y = -8 ..........(2)
Add 3x to both sides of (1):
-3x - y +3x = 4 + 3x
-y = 4+3x
Multiply by (-1)
y = -(4+3x)
Substitute y = -(4+3x) into equation (2)
4x + 2y = -8
4x + 2. (-(4+3x)) = -8
4x - 8 - 6x = -8
-2x -8 = -8 (Add 8 to both sides)
-2x -8 + 8 = -8 + 8
-2x = 0
x = 0
Substitute x = 0 into:
y = -(4+3x)
y = -(4+3 . 0) = -4
The solution is (0, -4)
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What is the equation of the line that passes through the point (−4,5) and has a slope of 0?
Answer:
y = 5
Step-by-step explanation:
A line with a slope of 0 is a horizontal line parallel to the x- axis with equation
y = c ( c is the value of the y- coordinates the line passes through )
the line passes through (- 4, 5 ) with y- coordinate 5 , then
y = 5 ← equation of line
How can I solve 2z+–
4z–2z–2
Answer:
Step-by-step explanation:
=-4z-2
5. Which equation in point-slope form contains the points (6, 2) and (2, 4)?
O,
O
O
O
y-2=-2(x-6)
y-4=--(x-6)
y-4--2(x-2)
y-2---(x-6)
which number produces an irrational number when multiplied by 1/3?
A. 0.166
B. 2
C. 2/3
D. square root of -17
I think its B
Answer:
Step-by-step explanation:
Your answer is D because the number is irrational to start, and therefore will be irrational if divided by a rational number.
Perform the indicated operation.
-10 + 15
a) -25
b) 25
c) -5
d) 5
Answer: d)
-10 + 15 = 5
Answer:
D. 5
Step-by-step explanation:
-10 + 15 Can be rewritten as 15-10
15-10=5
The answer is 5.
Hope this helps!
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A bag contains 3 red marbles, 5 blue marbles and 4 green marbles. If
two marbles are drawn out of the bag, what is the exact probability
that both marbles drawn will be red?
+-
Answer:
Submit Answer
the probability of drawing 2 red marbles from the bag will be 0.0455.
Number of Red marbles = 3
Number of blue marbles = 5
Number of green marbles = 4
Total marbles = 3 + 5 + 4 = 12
Probability of drawing 2 red marbles from the bag will be:
P = 3 / 12 × 2 / 11
P = 6 / 132
P = 3 / 66
P = 1 / 22
P = 0.0455
Therefore, the probability of drawing 2 red marbles from the bag will be 0.0455.
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Use grids to find all the factor pairs for each number
All the factor pairs are given using the grids:
17 × 1 = 176 × 4 = 426 × 22 = 13237 × 1 = 3729 × 1 = 298 × 6 = 48What are factor pairs?A factor pair is defined in mathematics as a set of two factors that, when multiplied together, yield a specific product.In other words, we multiply a pair of numbers to get a product. In the multiplication statement, for example, 6 7 = 42, 6 and 7 are one of the factor pairs that give us the product 42.So,
17 × 1 = 176 × 4 = 426 × 22 = 13237 × 1 = 3729 × 1 = 298 × 6 = 48(Refer to the grids given below)
Therefore, all the factor pairs are given using the grids:
17 × 1 = 176 × 4 = 426 × 22 = 13237 × 1 = 3729 × 1 = 298 × 6 = 48Know more about factor pairs here:
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Carmen is making a strawberry drink. The recipe calls for 5 parts strawberry juice to 3 parts water. Carmen would like to make 64 fluid ounces of the strawberry drink. How many fluid ounces of strawberry juice and water does Carmen need?
----Carmen will need
__ fluid ounces of strawberry juice and
__ fluid ounces of water to make 64 fluid ounces of strawberry drink.
Answer:960
Step-by-step explanation:
David has 11 shirts to fold. Let N be the number of shirts he would have left to fold after folding F of them. Write an equation relating and 2F. Then grab your equation using the axes below
The linear equation from the given statement is the N + F+11 = 2F.
According to the statement
We have to write the linear equation.
So, For this purpose, we know that the
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
From the given information:
David has 11 shirts to fold. Let N be the number of shirts he would have left to fold after folding F of them. Write an equation relating and 2F.
Then
The number of shirts left = N
The number of the shirts which are folded = F+11
The total number of shirts = 2F
And then
The linear equation becomes :
N + F+11 = 2F
This the linear equation for the given statement.
So, The linear equation from the given statement is the N + F+11 = 2F.
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1/2-3/4 con su procedimiento por favor
Answer:
-0.25
Step-by-step explanation:
1). When beginning, you need to find the least common multiple (lcm), which would be 2.
2). Divide 3 by 2 leaving you with 1.5.
3). Then divide 1.5 by 2 leaving you with -1/4.
4). Convert -1/4 into a decimal.
5). Final answer -0.25.
Answer: -0.25
Step-by-step explanation:
[tex]\displaystyle\\\frac{1}{2}-\frac{3}{4}=\\\\ \frac{1*2}{2*2} -\frac{3}{4} =\\\\\frac{2}{4} -\frac{3}{4}=\\\\ \frac{2-3}{4} =\\\\\frac{-1}{4} =\\\\-\frac{1}{4} =\\\\-0.25[/tex]
HELP ME SOLVE PLEASEEEE
Answer: It is m<U = 60 and m<V = 120 (x = 20)
Step-by-step explanation:
1. We know that these 2 angles are supplementary, which means both adds up to 180 degrees.
2. So first, we do this:
3x + 2(m<U) = 180
2a. We do this to find m<U
3. We can also notice that 3x is m<U, so substituting m<U with 3x makes sense. 3x + 2(3x) = 180
4. We then simplify:
3x + 6x = 180
9x = 180
5. We will then divide:
x = 20
6. With the new found info, we substitute x with 20:
m<U = 3(20)
m<V = 2(3(20))
7. Doing the math, it becomes:
m<U = 60
m<V = 120
(i) You can add both up if you want to make sure, but it is correct
Round to the nearest cent 6 divided by 2.29
Answer: $0.38
Step-by-step explanation:
2.29/8=
0.38167=
0.38167=$0.38
If angle 5 is 120 degrees, find the value of <8
Answer:Answer:
The measurement of the angle is 60
Step-by-step explanation:
The two blue lines are straight and parallel lines. The sum of the angles on a straight line is 180 degrees. Angle 5 and angle 6 are on a straight line. Therefore
Angle 5 + angle 6 = 180
If angle 5 is 120 degrees, then
Angle 6 = 180 - 120 = 60 degrees.
Pls solve part e for me thanks
Using it's concept, the probability of at least 1 red face upper most is 17/18 = 0.9444 = 94.44%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For each cube, the probability of no red faces is:
Cube A: 1/6.Cube B: 3/6 = 1/2.Cube C: 4/6 = 2/3.Hence the probability of no red faces in anu cube is:
1/6 x 1/2 x 2/3 = 1/18.
Which means that the probability of at least 1 red face is given by:
1 - 1/18 = 17/18 = 0.9444 = 94.44%.
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A number 1-10 is selected at random. What is the probability of selecting an odd or a number greater than 8?
Answer:
0.6
Step-by-step explanation:
Answer: 20%
Step-by-step explanation: If you look at it like 100 then think of 20% of 100.
20% or 2.
(-7/2z+4)Z+(1/5z-15)
Answer:
I D K if this even helps at all T B H
A family pass to the amusement park costs $54. Using the Distributive Property, write an cost in dollars of 8 family passes.
Sole this algebraic expression shown in the picture below:
The value of x from the expression given is - 5
What are algebraic expressions?Algebraic expressions are expressions composed of variables, terms, factors, coefficients and constants.
They are also made up of mathematical operations such as addition, subtraction, division, multiplication, etc.
Given the expression, let's find the value of x
3(x + 1) = 2(x - 1)
Expand the bracket
3x + 3 = 2x - 2
collect like terms
3x - 2x = -2 - 3
Subtract like terms
x = - 5
Thus, the value of x from the expression given is - 5
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m = 0.15 (8.6 - s)
The amount in moles, m, of a reactant s seconds after the start of a chemical reaction is given by
the equation above. Which of the following is the best interpretation of the number 8.6 ?
The best interpretation of the number 8.6 according to the task content is; The completion time of the reaction.
What is the best interpretation of the number 8.6?It follows from the task content that the number 8.6 as given in the task content can be agreed to be the completion time of the reaction.
This follows from the fact that, at time, s = 8.6, amount in moles, m of the reactants remaining becomes, 0 in which case, the reaction is complete.
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Khloe bought snacks for her team's practice. She bought a bag of chips for $2.69 and a 15-pack of juice bottles. The total cost before tax was $39.14. How much was each bottle of juice
write the slope-intercept form of the equation of the line through the given point with the given slope.
through: (-2,-5) and slope= -3
y = -3x - 11
calculator
3/5(1/2p + 2r) + 2p
please simplify!!!
The simplified form of the algebraic expression is [tex]\frac{23}{10} p+\frac{6}{5} r[/tex] .
An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).
A good example of an algebraic expression is 3x² + 2xy + c.Any expression that can be converted into a rational fraction using the properties of the arithmetic operations is said to be rational (commutative properties and associative properties of addition and multiplication, distributive property and rules for the operations on the fractions). In other terms, a rational expression is one that can be created using only the four arithmetic operations and the variables and constants.Given expression is of the form:
[tex]\frac{3}{5} (\frac{1}{2}p+2r )+2p[/tex]
Now we will use the distributive property to expand the algebraic expression:
[tex]or, (\frac{3}{5} \times\frac{1}{2}p+\frac{3}{5} \times2r) +2p\\\\or,\frac{3}{10}p+\frac{6}{5} r+2p\\ \\or,\frac{3+20}{10} p+\frac{6}{5} r\\\\or,\frac{23}{10} p+\frac{6}{5} r[/tex]
Hence the simplified algebraic expression is [tex]\frac{23}{10} p+\frac{6}{5} r[/tex] .
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Given: triangle ABC,
Angle B=120°,
AB= 6, BC = 10
Find: The area of triangle ABC
The area of triangle ABC when Angle B=120°, AB= 6, BC = 10 is 25.980 square unit.
As per the question statement, we are supposed to find out the area of triangle ABC in which angle B=120°, AB= 6, BC = 10.
Lets find out AC for which we should know about Cosine formula
i.e., [tex]AC^{2} =AB^{2} +BC^{2} -2(AB)(BC)cos(B)\\AC^{2} =6^{2} +10^{2} -2*6*10cos120\\AC^{2}= 36+100-120*(-0.5)\\AC^{2}=196\\AC=\sqrt{196} =14[/tex]
Hence We have measures of all three sides of the triangle ABC.
Now we use the Heron's formula for calculating the area of triangle ABC.
We need semi perimeter i.e., [tex]s=\frac{AB+BC+AC}{2}[/tex]
[tex]s=\frac{30}{2} =15[/tex]
Now Area is given by,
[tex]area=\sqrt{s(s-AB)(s-BC)(s-AC)} \\area=\sqrt{15(15-6)(15-10)(15-14)} \\area=\sqrt{15*9*5*1} \\area=\sqrt{675} \\area = 25.980 unit^{2}[/tex]
Area: The space occupied by an object or a shape in square units.Cosine Formula: Uses the cosine of an angle to determine the remaining sides of the triangle.Heron's Formula: Uses the measure of the all sides of triangle to calculate the area of the triangle.To learn more about Heron's questions, click on the link given below:
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To the nearest mile, what is the total distance that he ran?
6 miles
8 miles
11 miles
25 miles
A common tangent is the point at which a line in the same plane as a circle intersects the circle.
Answer:
the angle made by that line is tangent
which expression is equivalent to squareroot 4j^4/9k^8
Answer:
It's the third choice:
2/3 j^2/k^4
Step-by-step explanation:
√ [4j^4/9k^8)]
= √(4j^4) / √9k^8
= 2j^2 / 3k^4
= 2/3 j^2/k^4
What ordered pair is a solution of the equation y = 4x?
A. (1, 3)
B. (-1, -4)
C. (-4, -1)
D. (1, -4)
write 1001 in binary form
Answer:
1111101001
Step-by-step explanation:
Binary 1001 = 9. « Previous (1000) Next (1010) ».
A group of friends watched a comedy movie marathon starring a group of comedians. The graph below shows the number of movies watched and the number of hours of sleep the friends had slept between Saturday and Sunday. Each dot represents one of the friends.
First Options:
Increased
Decreased
remained the same
Second Options:
A positive
A negative
No
Third Options:
Numbers of hours of sleep
Genre of the movies
Actors in the movies
There is no relationship between the number of movies and the number of sleep hours.
What is a relationship?It is always a thing of importance to show data by the use of a scatter plot. The scatter plot must always have two axes. The vertical (y axis ) and the horizontal (x axis). It is always common to plot the independent variable on the x axis and the dependent variable on the y axis.
The scatter plot thus represented shows how one variable is related to another. In this case, we are trying to obtain how the number of sleep hours tend to be related with the number of movies and this has been shown on the scatter plot that is shown in the question above.
It is clear from the statements in the question that the line of best fit would show that as the number of movies remained constant, the number of sleep hours decreased. This now implies that there is no relationship between the number of movies and the number of sleep hours.
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A rocket flies 10 km vertically, then 20 km at an angle of 15° to the vertical and finally 60 km at an angle of 26° to the vertical. Calculate the vertical height of the rocket at the end of the third stage.
The vertical height of the rocket at the end of the third stage is 83.2 km.
We are provided that the rocket travels first 10 km vertically up (OA), then the rocket travels for 20 km (AC) at an angle of 15° from point A.
Let rocket travels 'a' distance vertically up(AB) during this,
then, rocket travels for travels for 60 km (CD) at an angle of 26° from point C.
Let rocket travels ' b' distance vertically up (BX) during this.
So,
Total Vertical Height Covered = 10 + a + b
So, According to diagram
In ΔABC
[tex]cos \ 15[/tex]° [tex]= \frac{a}{20}[/tex]
[tex]\\a = 20 * cos 15[/tex]° = 19.32km
In ΔCDE
[tex]cos \ 26[/tex]° [tex]= \frac{b}{60}[/tex]
[tex]\\b = 60 * cos 26[/tex]° = 53.9km
Since,
Total Distance = 10 + a +b
Total Distance = 10 + 19.32 + 53.9
Total Distance = 83.2 km
Therefore, Vertical height of the rocket at the end of third stage = 83.2 km
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