Answer: C
Step-by-step explanation:
Given that the line -3x + y/2 = -3 passes through the points (1, 0) and (0, -6).
First rearrange the equation
-3x + y/2 = -3
Y = 2( 3x - 3 )
Y = 6x - 6 ..... (1)
Also, the slope of points (1, 0) and (0, -6). Will be
M = ( -6 - 0 )/( 0 - 1 )
M = -6/-1
M = 6
Using general linear equation
Y = MX + C
Let Y = 0 and X = 1
0 = 6(1) + C
C = -6
Substitutes C back into the equation
Y = 6x - 6 ...... (2)
The value of b that will cause the system to have infinitely many number of solutions is 6
Answer:
6
Step-by-step explanation:
-(-(-2))+(-3)(-4)(-5)
Answer:
-62
Step-by-step explanation:
Use BPEMDAS (Brackets, Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction) or use a calc.
-(2) + (12)(-5)
-2 + -60
-62
Answer:
Step-by-step explanation:
-(-(-2)) + ( -3)(-4)(-5) = -2 - (3*4*5) = -2 - 60 = -62
In multiplication, count the number of negative. If number of negative is odd, the result will have negative sign
Subtracting a number is the same as adding its additive inverse. For which elevation do we need to find the additive inverse?. What is the additive inverse of that elevation?
Help please
Answer:
Learning to subtract rational numbers by adding the additive inverse can be explained to your child as being the same as finding the opposite. This can even be described to your child as being a similar concept to one that they have worked with in the past where subtraction is the opposite of addition.
Additive inverse can be defined as adding a number with the opposite or the negative of that number to equal zero. The additive inverse of 1 is (-1), the additive inverse of 2 is (-2) and so on.
Example: 5 + (-5) = 0
In this example, (-5) is the additive inverse.
You can then take additive inverse one step when finding the additive inverse when subtracting rational numbers.
Example: 7 - 4 = 7 + (-4)
3 = 3
When finding the inverse, it is important to keep in mind that what you do to one side, you must do the opposite to another. In the example above, because you subtracted a positive four on one side, you are going to add a negative four to the other. This will make the equation equal on both sides.
Step-by-step explanation:
Yes subtracting a number is the same as adding its inverse. We have to find the additive inverse of a function like [tex]\sqrt{x} +\sqrt{y}[/tex] .
What is additive inverse?The additive inverse of a number is the number which when we add to the number results zero.
How to find additive inverse?Suppose we have to find additive inverse of 5. Let the additive inverse of 5 be x. So,
5+x=0
x=-5
So the additive inverse of 5 is -5.
Hence to find additive inverse of a positive number we have to just put a negative mark and for a negative number we have put positive mark in front of the number.
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Which rule describes the composition of
transformations that maps
ABC to A'B'C"?
Answer:
translation
Step-by-step explanation:
Solve for x.....................
Answer:
15
Step-by-step explanation:
In order to find the the value of x, first we need to calculate the length of the perpendicular dropped from the right angle to the hypotenuse of the given triangle.
Therefore, by geometric mean property, we have:
[tex]l(perpendicular) \\ = \sqrt{9 \times (25 - 9)} \\ = \sqrt{9 \times 16} \\ = \sqrt{144} \\ l(perpendicular) = 12 \: units \\ \\ Now \: by \: Pythagoras \: Theorem:\\ {x}^{2} = {9}^{2} + {12}^{2} \\ {x}^{2} = 81 + 144 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = 15[/tex]
-4/5 times (-7/6) please help
Answer:
14/15
Step-by-step explanation:
-4/5 × -7/6
Multiply numerator with numerator and denominator with denominator.
(-4×-7)/(5×6)
28/30
Simplify.
14/15
Answer:
[tex] \frac{14}{15} [/tex]
solution,
[tex] \frac{ - 4}{5} \times \frac{ - 7}{6} \\ = \frac{ - 4 \times ( - 7)}{5 \times 6} \\ = \frac{28}{30} [/tex]
divide 28 and 30 by 2 ,you will get:
[tex] \frac{14}{15} [/tex]
hope this helps..
Good luck on your assignment..
Please help, just answer this question.
Answer:
[tex] - \frac{5}{2} [/tex]Given that,
Slope of line A=2/5
We know that , slope of perpendicular line is product of slopes.
i.e. M1 • M2=-1
[tex] m1 = \frac{2}{5} \: \: [/tex]
m2=?
Now,
[tex] \frac{2}{5} \times m2 = - 1 \\ or \: m2 = - 1 \times \frac{5}{2} \\ \: m2 = - \frac{ 5}{2} [/tex]
Therefore, Slope of line B is -5/2.
Hope this helps..
Good luck on your assignment..
please solve each inequality and show you work thank you so much:)
2x – 7 > 3= ?
[tex]\frac{x}{4} +11\geq 8[/tex]= ?
[tex]-6x+7\geq 19[/tex]= ?
-10+4x>50= ?
[tex]\frac{x}{-2}[/tex]-17>-13= ?
[tex]8-2x\leq 46[/tex]= ?
[tex]-13x+1\leq -25[/tex]= ?
[tex]-7+\frac{x}{3} \ \textgreater \ -4[/tex]= ?
[tex]-9x-19\geq 17[/tex]= ?
[tex]16-x\ \textgreater \ 9[/tex]= ?
Answer:
1) [tex]\boxed{x > 5}[/tex]
2) [tex]\boxed{x \geq -12}[/tex]
3) [tex]\boxed{x \leq -2}[/tex]
4) [tex]\boxed{x > 15}[/tex]
5) [tex]\boxed{x < -8}[/tex]
6) [tex]\boxed{x \geq -19}[/tex]
7) [tex]\boxed{x \geq 2}[/tex]
8) [tex]\boxed{x > 9}[/tex]
9) [tex]\boxed{ x \leq - 4}[/tex]
10) [tex]\boxed{x < 7}[/tex]
Step-by-step explanation:
1) [tex]2x-7 > 3[/tex]
Adding 7 to both sides
=> 2x > 3+7
=> 2x > 10
Dividing both sides by 2
=> x > 5
2) [tex]\frac{x}{4} + 11 \geq 8[/tex]
Subtracting 11 to both sides
[tex]\frac{x}{4} \geq 8 -11\\\frac{x}{4}\geq -3[/tex]
Multiplying both sides by 4
x ≥ -3 * 4
x ≥ -12
3) -6x+7 ≥ 19
Subtracting 19 to both sides
=> -6x ≥ 19-7
=> -6x ≥ 12
Dividing both sides by -6
=> x ≤ -2
4) -10 + 4x > 50
Adding 10 to b.s
=> 4x > 50+10
=> 4x > 60
Dividing b.s by 4
=> x > 15
5) [tex]\frac{x}{-2} - 17 > -13[/tex]
[tex]\frac{x}{-2} - 17 > -13\\Adding \ 17 \ to \ both \ sides\\\\\frac{x}{-2} > -13+17\\\\\frac{x}{-2} > 4\\Multiplying both sides by -2[/tex]
=> x < 4*-2
=> x < -8
6) 8 - 2x ≤ 46
Subtracting 8 from b.s
=> -2x ≤ 46-8
=> -2x ≤ 38
Dividing b.s by -2
=> x ≥ -19
7) -13x+1 ≤ -25
Subtracting 1 from both sides
=> -13x ≤ -25-1
=> -13x ≤ -26
Dividing both sides by -13
=> x ≥ 2
8) [tex]-7 + \frac{x}{3} > -4[/tex]
Adding 7 to b.s
=> x/3 > -4+7
=> x/3 > 3
Multiplying 3 to b.s
=> x > 3*3
=> x > 9
9) -9x-19 ≥ 17
Adding 19 to both sides
=> -9x ≥ 17+19
=> -9x ≥ 36
Dividing both sides by -9
=> x ≤ -4
10) 16 - x > 9
Adding x to both sides
=> 16 > 9 + x
Subtracting 9 from both sides
=> 16 - 9 > x
=> 7 > x
OR
=> x < 7
NOTE: Whenever, we divide the inequality by a negative signed term, the inequality changes to its opposite.
Answers:
[tex]\boxed{x > 5}\\ \boxed{x \geq -12}\\\boxed{x \leq -2}\\\boxed{x > 15}\\\boxed{x < -8}\\\boxed{x \geq -19}\\ \boxed{x \geq 2}\\\boxed{x > 9}\\\boxed{ x \leq -4}\\ \boxed{x < 7}[/tex]
Step-by-step explanation:
2x - 7 > 3
2x > 10
x > 5
x/4 + 11 ≥ 8
x/4 ≥ -3
x ≥ -12
-6x + 7 ≥ 19
-6x ≥ 12
x ≤ -2
-10 + 4x > 50
4x > 60
x > 15
-x/2 - 17 > -13
-x/2 > 4
-x > 8
x < -8
8 - 2x ≤ 46
-2x ≤ 38
x ≥ -19
-13x + 1 ≤ -25
-13x ≤ -26
x ≥ 2
-7 + x/3 > -4
x/3 > 3
x > 9
-9x -19 ≥ 17
-9x ≥ 36
x ≤ -4
16 - x > 9
-x > -7
x < 7
An apple that was 4 meters off the ground was blown off a tree. The angle between the final position of the apple and the original
position of the apple was 35
4 m
35
Note: picture not drawn to scale
Which equation can be used to find the horizontal distance, r, that the apple was displaced?
we also need the vertical distance between the original spot and the ground to solve this,
Answer:
tan 35° = \frac{4m}{r}
Step-by-step explanation:
Tan is the length of the opposite leg over the length of the adjacent length and for angle 35 4 was the length of the opposite leg and r was the length of the adjacent leg
Question 22 on this pictured math sheet please. Have a great day!
Answer:
The required graph is shown below.
Step-by-step explanation:
The given equation is
[tex]4x-3y=12[/tex]
To draw the graph we need at least two points which satisfy the given equation.
At x=0,
[tex]4(0)-3y=12[/tex]
[tex]-3y=12[/tex]
[tex]y=\dfrac{12}{-3}[/tex]
[tex]y=-4[/tex]
At y=0,
[tex]4x-3(0)=12[/tex]
[tex]4x=12[/tex]
[tex]x=3[/tex]
So, (0,-4) and (3,0) are two solutions of the given equation. Plot these two points on the coordinate plane and connect them by a straight line.
The required graph is shown below.
George is afraid of falling off his roof, but he needs to measure to measure his roof so he can re-shingle it.
What is the measure of AB?
Answer: AB= 24 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case CB ) and a and b are the other sides.
Replacing with the values given:
CB^2 = CA^2 + AB^2
25^2 = 7^2 + x^2
Where x is the value that we are searching for..
625= 49 + x^2
625 -49 = x^2
576 = x^2
√576 = x
24 = x
So, AB= 24 ft
Feel free to ask for more if needed or if you did not understand something.
State all possible names for a figure.
A) quadrilateral, rectangle
B) parallelogram
C) quadrilateral, parallelogram, rectangle
D) parallelogram, rectangle
ANSWER QUICK
Answer:
C) quadrilateral, parallelogram, rectangle
Step-by-step explanation:
The figure has four sides, so it is a quadrilateral. The quadrilateral has four right angles and two equal (in length) opposite sides, so it is a rectangle.
All rectangles are parallelograms, because the two opposite sides of a rectangle are parallel.
Option C should be the correct answer.
Based on the shape and the available option, the possible names for a figure here is the quadrilateral, parallelogram, rectangle
What is quadrilateral?Quadrilateral is a type of shape that is closed shape and a type of polygon that has four sides, four vertices, and four angles.
Generally, a Quadrilateral is formed by joining four non-collinear points. The sum of the interior angles of quadrilaterals is always equal to 360 degrees.
In this case, the figure has four sides, so it is a quadrilateral. The quadrilateral has four right angles and two equal (in length) opposite sides, so it is a rectangle.
All rectangles are parallelograms because the two opposite sides of a rectangle are parallel.
Hence, in this case, it is concluded that the correct answer is option C. quadrilateral, parallelogram, rectangle
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I need number 5 done can someone help me please I need it done ASAP
Answer: B
Step-by-step explanation:
(4/3) x 3.14 x 3.7^3
Plug into a calculator
212.067
Brainliest would be appericiated!
Determine the area of the given rhombus. ANSWERS: 140 square units 35 square units 70 square units 17.5 square units
Answer:
17.5
Step-by-step explanation:
A = [tex]\frac{pq}{2}[/tex]
p = 7
q = 5
7 x 5 = 35
35 ÷ 2 = 17.5
Answer:
The correct answer is 70 square units I took the test and got it right! Good luck! God bless you!
Step-by-step explanation:
Suppose a cube is given.
How many different segments can be formed by connecting the vertices of the cube?
Answer:
I believe it is 12
I'm not 100% sure but if its right let me know
Sry if its not :/
Points O, A, B lie on the same line. OA = 12 cm, OB = 9 cm. Find the distance between the midpoints of segments OA and OB if point O lies on the segment AB?
Answer: 1.5cm
Step-by-step explanation:
12-9=3 because it is midpoint 3/2=1.5
The graph of function f is shown. Function g is represented by this equation g(x) = 2(2)^x. A. They have different y-intercepts but the same end behavior. B. They have same y-intercepts but different end behavior. C. They have different y-intercepts and different end behavior. D. They have the same y-intercept and the same end behavior
Answer:
G(×)=2(2)^×.Q
Step-by-step explanation:
As per the function, they have different y-intercepts and different end behavior.
To compare with function f, we need to analyze its y-intercept and end behavior. If the y-intercept and end behavior of both functions are the same, the answer would be D. However, if they differ in either the y-intercept or the end behavior, the answer would be either A, B, or C.
The functions f and g have different y-intercepts since the y-intercept of g is 2, whereas the y-intercept of f would be the value of f(0) based on its graph. Additionally, they have different end behavior since function g approaches positive infinity as x increases, while function f appears to approach a horizontal asymptote.
Answer: C. They have different y-intercepts and different end behavior.
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Pls help guys: Find the perimeter of rectangles which measure: 9m x 12.6m.and also I need help with this so: complete the table of measurements of triangles. Base. 12cm. 12cm. 30.5cm. Height. 15cm. 32cm Area. 60cm2 72cm2. 112.5cm2 122cm2 160cm2 Fill in the blanks pls and also tell me why it is. I will mark brainliest if you help me for real
Answer:
1. perim is 43.2
2. where are the blanks? dont see any
Step-by-step explanation:
WILL GIVE BRAINLIEST AND 25 POINTS! Find the value of x and y, given the following matrix equation: x= y=
Answer:
x = ±6
y = 10
Step-by-step explanation:
Solve for the top part.
x² + -4 = 32
x² = 32 + 4
x² = 36
x = √36
x = ±6
Solve for bottom part.
y + y - 4 = y + 6
2y - 4 = y + 6
2y - y = 6 + 4
1y = 10
By solving the upper part and the lower part of the matrix equation, the value of x and y are:
[tex]\mathbf{x = \pm6}\\\\\mathbf{y = 10}[/tex]
The given matrix equation can be solved by taking the upperpart to create an equation to solve for x, and also taking the lower part to create an equation to solve for y.
Thus:[tex]x^2 + (-4) = 32[/tex] (upper part)
[tex]y + y - 4 = y + 6[/tex] (lower part)
Solve each of the equation in the matrix.
Solve the upper part for x:
[tex]x^2 + (-4) = 32\\\\x^2 - 4 = 32[/tex]
Add 4 to both sides[tex]x^2 - 4 + 4 = 32 + 4\\\\x^2 = 36[/tex]
Take the square of both sides[tex]x = \sqrt{36} \\\\\mathbf{x = \pm6}[/tex]
Solve the lower part for y:
[tex]y + y - 4 = y + 6\\\\[/tex]
Add like terms[tex]y + y - 4 = y + 6\\\\2y - 4 = y + 6\\\\2y - y = 4 + 6\\\\\mathbf{y = 10}[/tex]
Thus, by solving the upper part and the lower part of the matrix equation, the value of x and y are:
[tex]\mathbf{x = \pm6}\\\\\mathbf{y = 10}[/tex]
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One of the sides of a parallelogram has a length of 5 in. Can the lengths of the diagonals be: 4 in and 3 in?
Answer:
No
Step-by-step explanation:
The Grade 8 students held a graduation dance.
Four out of 7 students attended.
There are 112 Grade 8 students.
How many students attended the dance?
**In the blank ONLY write the number, no words/sentences, for example if the
answer is 4 students are going in the blank type: 4
Answer:
64
Step-by-step explanation:
4/7
16x7= 112
4x16=64
Explain how to find the surface area of a can of fruit with a height of 80 mm and a diameter of 60 mm. Give the area in your explanation.
Answer:
[tex]S=6600\pi \text{ mm}^2[/tex]
[tex]S\approx 20724 \text{ mm}^2[/tex]
Step-by-step explanation:
A can of fruit is geometrically a cylinder.
We are talking about the surface area of a cylinder:
[tex]S=2\pi rh+2\pi r^2[/tex]
[tex]\pi \approx 3.14[/tex]
[tex]r: \text{radius}[/tex]
[tex]h: \text{height}[/tex]
Factoring, we have:
[tex]S=2\pi r (h+r)[/tex]
Calculating the surface area of the can of fruit:
[tex]S=2\pi (30) (80+30)[/tex]
[tex]S=2\pi (30) (110)[/tex]
[tex]S=6600\pi[/tex]
[tex]S\approx 20724 \text{ mm}^2[/tex]
What is the value of X in the equation..[tex]\frac{8}{5}x+5=-19[/tex]
PLS SHOW WORK!
Answer:
8/5x + 5 = -19
8/5x = -24 (Subtract 5)
x = -15 (Multiply by 5/8)
True or false? The illustration below is an example of a regular tessellation.
Answer:
B.) False
Step-by-step explanation:
A regular tessellation is a pattern made by repeating a regular polygon. But in this image, it is a demiregular tessellations. Demiregular tessellations are a set of tessellations made from 2 or more regular polygon faces.
Hope this helps you out! : )
The given illustration is not example of a regular tessellation due to overlapping of polygons which is option(B) false.
What is regular tessellation?A regular tessellation is defined as consist of a repeating pattern of one or more regular polygon. There are a few qualifications for a pattern to be a tessellation. These include:
Regular polygon cannot overlap.
Regular polygon cannot have space between them.
The patterns are created by rotating, translating, or reflecting the shapes.
Hence, the given illustration is not example of a regular tessellation due to overlapping of polygons.
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How many gallons each of 15% alcohol and 5% alcohol should be mixed to obtain 10 gal of 14% alcohol?
How many gallons of 15% alcohol should be in the mixture? _____ gal
Answer:
Step-by-step explanation:
each gallon 15% alcohol
and 5% alcohol
*is this question correct?
Answer:
Step-by-step explanation:
Let x = Gallons of 15% alcohol
y = gallons of 5% alcohol
x + y = 10 gallons
y = 10 - x
15% of x + 5% of y = 14% of 10 gallons
0.15x + 0.05y = 0.14 * 10
0.15x + 0.05 * ( 10 - x) = 1.4
0.15x + 0.05*10 - x * 0.05 = 1.4
0.15x + 0.5 - 0.05x = 1.4
Add like terms
0.10x + 0.5 = 1.4
Subtract 0.5 from both sides
0.10x = 1.4 - 0.5
0.10x = 0.9
Divide both sides by 0.10
x = 0.9/0.1
x = 9
x = 9 gallons
y = 1 gallons
Which of the following represents the factorization of
the binomial below?
25x2 - 64y2
A. (5x - 8y)(5x-8y)
B. (5x + 8y) (5x + 8y)
C. (5x - y)(x + 8y)
D. (5x - 87)(5x + 8y)
Here is a list of numbers:
2, 13, 13, 6, 10,4 16,14,20
State the median.
Answer:
Median = 13
Step-by-step explanation:
Arranging it in ascending order:
=> 2,4,6,10,13,13,14,16,20
Median is the middlemost no.
So,
=> Median = 13
Simplify the expression: 5( 2j + 3 + j) using the distributive and commutative properties and combining like terms below: (i need 2 equations)
Answer:
15j + 15, or 15(1 + j).
Step-by-step explanation:
We must do the work inside the parentheses first. We get 5( 2j + j + 3), or
5(3j + 3), and then 15j + 15, or 15(1 + j).
Answer:
5( 2j+j+3)
15j + 15
Step-by-step explanation:
5( 2j + 3 + j)
Combine like terms
5( 2j+j+3)
5( 3j + 3 )
Distribute
5*3j + 5* 3
15j + 15
[tex]g(x) = 3x - 6[/tex]and
[tex] {g}^{ - 1}(x) = \frac{x + 6}{3} [/tex]. With g(x) and
[tex] {g}^{ - 1}(x)[/tex], find
[tex] {g}^{ - 1}(g(10))[/tex]. Make sure to show your work.
Hey there! :)
Answer:
[tex]g^{-1} (g(10))=10[/tex]
Step-by-step explanation:
Begin by calculating g(10):
g(x) = 3x - 6
Substitute in 10 for x:
g(10) = 3(10) - 6
g(10) = 30-6
g(10) = 24.
Plug '24' into 'x' into [tex]g^{-1} (x)[/tex]
[tex]g^{-1} (24)=\frac{(24) + 6}{3}[/tex]
Simplify:
[tex]g^{-1} (24)=\frac{30}{3}[/tex]
[tex]g^{-1} (24)=10[/tex]
Find the Missing Side Lengths
the Leave your answers as radicals in simplest form.
Answer:
x = √3
y = 1
Step-by-step explanation:
The side x, the hypotenuse 2 and the 60 degree angle are related as follows:
x
sin 60 degrees = ----------
2
and so side x is equal to 2 sin 60 degrees, or 2( (√3)/2), or √3.
By the Pythagorean Theorem, x^2 + y^2 = 2^2, or
3 + y^2 = 4, and so
y^2 = 1
so side y has length 1
x = √3
y = 1
To convert a fraction into a decimal number, divide the denominator by the numerator. TrueFalse
oof I'm wrong he's right I thought is said do idea numerator by denominator sowwy
Answer:
false; you divide the NUMERATOR by the denominator.