This line is in slope intercept form y = mx+b
Since we can write it as y = (-5/3)x + 0
m = -5/3 is the slope
b = 0 is the y intercept
The two points (0,0) and (3,-5) are on the straight line.
What is the surface area of the stand
?
Step-by-step explanation:
first you have to add the PIC to have us answer
what is the value of x in the equation? 2/3(x+6)=-18
Answer:
C.) -33
Step-by-step explanation:
2/3 (x+6) = -18
x+6 = -27
x = -33
Answer:
B
Step-by-step explanation:
2/3*(x + 6) = -18
Multiply by 3
2(x + 6) = -18*3
2(x + 6) = -54
Remove the brackets
2x + 12 = - 54
Subtract 12 from both sides
2x+12-12 = - 54 - 12
Combine like terms
2x = -66
Divide by 2
2x/2 = -66/2
x = -33
Answer B
which graph represents the function f(x) =-lx-2l-1
It’s the second one from the right
Since there’s a - behind x it means it has to be facing down so it’s either 2 or 4
Now it’s x-2 and we know that x moves the opposite so it needs to move 2 to the right so the answer is 2
−12 ≤ 44+x
Solve for x
Answer:
[tex]x \geq -56[/tex]
Step-by-step explanation:
You can solve inequalities the same way as equations as long as whenever you multiply or divide by a negative number, or flip fractions, you change the direction of the sign.
We don't have to do that here, here is the worked solution:
[tex]-12 \leq 44 + x[/tex]
[tex]-56 \leq x[/tex]
[tex]x \geq -56[/tex]
Answer:
x ≥ -56
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Hope this helps,
Davinia.
Is the GCF (greatest common factor) of a pair of numbers ever equal to one of the numbers? Explain why or why not.
if you help me you're cool
Answer:
Yes
Step-by-step explanation:
Yes, that is possible because whenever one number is a factor of the other one, it's their greatest common factor. Here are some examples.
2 and 200
10 and 100
13 and 52
one thousand and one million
HELP ASAPPPP!!!!!!!
1. In the figure below, ABC ~ PQR. If the area of ABC is 40 cm2, what is the area of PQR? Show your work.
Answer:
[tex]90cm^2[/tex]
Step-by-step explanation:
The side length AB of triangle ABC corresponds to side length of PQ of triangle PQR.
The scale factor from ABC to PQR is [tex]k=\frac{6}{4}=1.5[/tex]
The area of triangle PQR will change by [tex]k^2=1.5^2=2.25[/tex] centimeters square.
Since we know the area of triangle ABC to be [tex]40cm^2[/tex], the area of triangle PQR [tex]=2.25\times 40=90cm^2[/tex]
Answer:
The area of the triangle PQR is 90 cm^2.
Step-by-step explanation:
We are given two triangles, ABC and PQR, which are similar to each other.
If two triangles are similar, then the ratio of their areas is the square of the ratio of their sides.
Given that area of the triangle ABC is [tex]40cm^2[/tex], we are to find the area of the triangle PQR.
Finding the scale factor [tex]k=\frac{6}{4} =1.5[/tex]
So square of this scale factor will be [tex]k^2=(1.5)^2=2.25[/tex]
Area of triangle PQR = [tex]2.25 \times 40[/tex] = 90cm^2
North Carolina has three times the population of Utah and twice the
population of Oregon. Arkansas has 1 million people fewer than Oregon.
If the total population of these four states is 27 million, how many peo-
ple live in each state?
North Carolina = 3 * Utah
North Carolina = 2 * Oregon
Arkansas = Oregon - 1,000,000
North Carolina + Utah + Oregon + Arkansas = 27,000,000
North Carolina = 3 * Utah
Utah = 1/3 * North Carolina
Utah = 1/3 * (2 * Oregon)
(2 * Oregon) + (1/3 * (2 * Oregon)) + Oregon + (Oregon - 1,000,000) = 27,000,000
2O + (1/3 * 2O) + O + O - 1,000,000 = 27,000,000
2O + 2/3O + O + O - 1,000,000 = 27,000,000
4 2/3 O - 1,000,000 = 27,000,000
4 2/3 O = 28,000,000
O = 6,008,584
NC = 2O
NC = 2(6,008,584)
NC = 12,017,167
A = O - 1,000,000
A = 6,008,584 - 1,000,000
A = 5,008,584
NC = 3U
12,017,167 = 3U
U = 4,005,722
The populations of the four states are as follows:
- Utah has a population of 4 million.
- Oregon has a population of 6 million.
- North Carolina has a population of 12 million.
- Arkansas has a population of 5 million.
Let's denote the population of Utah, Oregon, and Arkansas as U, O, and A, respectively. According to the information given:
1. North Carolina has three times the population of Utah: [tex]\( NC = 3U \).[/tex]
2. North Carolina has twice the population of Oregon: [tex]\( NC = 2O \).[/tex]
3. Arkansas has 1 million people fewer than Oregon: [tex]\( A = O - 1 \).[/tex]
4. The total population of these four states is 27 million: [tex]\( U + O + A + NC = 27 \).[/tex]
From equations (1) and (2), we can equate the populations of Utah and Oregon since both are related to the population of North Carolina:
[tex]\( 3U = 2O \) or \( O = \frac{3}{2}U \).[/tex]
Now, substitute the value of O from equation (3) into the total population equation (4):
[tex]\( U + \frac{3}{2}U + ( \frac{3}{2}U - 1 ) + 3U = 27 \).[/tex]
Combine like terms:
[tex]\( U + \frac{3}{2}U + \frac{3}{2}U - 1 + 3U = 27 \),[/tex]
[tex]\( U + 3U + 3U - 1 = 27 \),[/tex]
[tex]\( 7U - 1 = 27 \).[/tex]
Now, solve for U:
[tex]\( 7U = 27 + 1 \),[/tex]
[tex]\( 7U = 28 \),[/tex]
[tex]\( U = \frac{28}{7} \),[/tex]
[tex]\( U = 4 \)[/tex] million.
Now that we have the population of Utah, we can find the populations of the other states:
[tex]\( O = \frac{3}{2}U = \frac{3}{2} \times 4 = 6 \)[/tex] million,
[tex]\( NC = 2O = 2 \times 6 = 12 \)[/tex] million,
[tex]\( A = O - 1 = 6 - 1 = 5 \)[/tex] million.
hurry quick I will give you brainiest
An equation is shown below:
6(2x - 11) + 15 = 21
Write the steps you will use to solve the equation and explain each step.
Answer:
multiple 6 with numbers inside paranthesis:
12x - 66 + 15 = 21
add 66 fhen substrack 15 from both sides :
12x = 72 divide both sides with 12:
x = 6
Step-by-step explanation:
In his answer above he didn’t add 81 to both sides. (Somebody correct me if I’m wrong)
What is the equation of a line passing through (-3,7) and having a slip of -1/5
A.y=-5x+22
B.y=5x+33
C.y=1/5x+32/5
D.y=-1/5x+32/5
E.y=-1/5x+22
Answer:
[tex]\large\boxed{D.\ y=-\dfrac{1}{5}x+\dfrac{32}{5}}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the slope m = -1/5. Substitute:
[tex]y=-\dfrac{1}{5}x+b[/tex]
Put the coordinates of the given point (-3, 7) to the equation:
[tex]7=-\dfrac{1}{5}(-3)+b[/tex]
[tex]7=\dfrac{3}{5}+b[/tex] subtract 3/5 from both sides
[tex]6\dfrac{2}{5}=b\to b=\dfrac{6\cdot5+2}{5}=\dfrac{32}{5}[/tex]
Which quadrant is secant negative and cotangent is positive?
a)Q1
b)Q2
c)Q3
d)Q4
Answer:
c)Q3
Step-by-step explanation:
In the third quadrant, tangent and cotangent are positive while cosine and thus secant are negative. Therefore, the solution is C. Q3
8000 in scientific notation
The solution to the number 8000 in scientific notation is 8 * 10³
Expressing the number 8000 in scientific notationFrom the question, we have the following parameters that can be used in our computation:
Number = 8000
Multiply the number by 1
So, we have
Number = 8000 * 1
Express 1 as 1000/1000
So, we have the following representation
Number = 8000 * 1000/1000
Next, we have
Number = 8 * 1000
Express 1000 as 10³
So, we have
Number = 8 * 10³
Hence, the solution is 8 * 10³
Read more about scientific notation at
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Which data could be represented by the box plot shown below?
Answer:
C
Step-by-step explanation:
what is the independent variable and the dependent variable when a large 2 topping pizza, l, cost 2$ more than a medium 3 topping pizza, m,
Answer:
Although variables wouldn't really fit for this problem, if you were to graph it, the pizza types would be on the x axis and the cost would be on the y axis since the cost of the pizzas technically "depend" on the type of pizza.
You run 4 3/4 miles through a park each day. If you ran that distance 5 times last week, how many miles did you run?
A:20 3/4 miles
B:23 3/4
C:9 3/4
D:12 3/4
I need help please!!
Answer: B: 23 3/4
Step-by-step explanation:
You have to multiply 4 3/4 by 5 in order to get your answer. Turn 4 3/4 into an improper fraction which would be 19/4. Then multiply it by 5; 19/4 times 5 equals 95/4. You then divide 95 by 4 which equals 23 3/4.
Answer:
Your answer is 23 3/4
Step-by-step explanation:
A rectangle retaining wall has area of 15 square feet.The height of the wall is two feet less than its length.find the height and the length of the wall
Answer:
The wall is 3 ft high and 5 ft long.
Step-by-step explanation:
Recall: Area of the rectangular wall is A = (length)(height).
Let the height be represented by h. Then the length is represented by h + 2.
The formula A = (length)(height) then becomes A = h(h+2) = 15 ft², which, written in the standard form of a quadratic equation, is h² + 2h - 15 = 0.
Let's solve this last equation for h using completing the square:
h² + 2h - 15 = 0 becomes h² + 2h + 1 -1 - 15 = 0, or (h + 1)² = 16. Taking the square root of both sides, we get:
h + 1 = ±4, which is equivalent to h = 3 and h = -5. Discard the negative result. Then h = 3 and w = 3+2 = 5.
The wall is 3 ft high and 5 ft long. Its area is (3 ft)(5 ft) = 15 ft²
The height and the length of the rectangular wall is 3 feet and 5 feet respectively.
What is the height and the length of the wall?Area of a rectangle = 15 square feet
Length = x feet
Height = (x - 2) feet
Area of a rectangle = height × length
15 = x × (x - 2)
15 = x² - 2x
set to quadratic equation
x² - 2x - 15 = 0
x² - 5x + 3x - 15 = 0
x(x - 5) + 3(x - 5) = 0
(x + 3)(x - 5) = 0
x + 3 = 0 or x - 5 = 0
x = -3 or x = 5
The length of a rectangle cannot be negative
Therefore,
Length = x feet
= 5 feet
Height = (x - 2) feet
= 5 - 2
= 3 feet
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Please I Need help ASAP plz
The student did not solve it correctly. They forgot to add the 5 foot height to the value of x.
The correct height is 23.4 feet, I know because I added 5 to the value of x.
The mean is defined as the
A. average of a data set
B. range of the data set
C. number that shows up most often in a data set
D. middle of the data set
QUIIC PLEASE NO EXPLANATION NEEDED
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ x=-2, no explanation
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
TROLLER
There always needs to be an explanation so you understand it!
Follow this step by step.
#1. Remove all -1 on both sides.
You are left with 2(x+3)+x=0.
#2. Expand the equation.
2x+6+x=0.
#3. Simplify 2x + 6 + x to 3x + 6.
3x+6=0
#4. Subtract 6 from each side.
3x=−6.
#5. Divide both sides by 3.
x = -6/3.
#6. Simplify 6/3 to 2.
x = 2.
Therefore, you get [tex]\fbox{x = 2}[/tex].
what is 21ax + 10by - 35ay - 6bx?
Answer:
That is it's simplest form
Step-by-step explanation:
There is no coefficients that are the same
Florence has a health insurance policy with a $1,500 deductable and 4% co-pay on the next $10,000. What would most likely increase her premium?
A. increasing the co-pay to 5%
B. decreasing the co-pay to 2%
C. increasing the deductible to $2,500
D. adding fixed co-pays for doctors' visits
Which of the tollowing objects is considered to be one-dimensional because it has length but no width or height?
O A. Line segment
O B. Triangle
O C. Point
O D. Cube
Answer: A. Line segment
Step-by-step explanation:
A line is a one-dimensional geometric straight -undefined figure which has no thickness or depth . It extends infinitely in both directions.
A line segment is a part of a line having end-points on both the sides.
It has only length therefore, it is one dimensional.
Thus , the objects is considered to be one-dimensional because it has length but no width or height is a line segment.
The triangle is 2-dimensional , point has no-dimensions, and cube is 3-dimensional.
A line segment is the correct answer, as in mathematics it is considered one-dimensional because it only has length but no width or height. It extends in one direction, unlike a triangle and a cube, which have more dimensions. The point does not have length.
Explanation:In mathematics, a line segment is considered to be one-dimensional as it only possesses a property of length but no width or height. This means it only extends in one direction, often represented on a number line. In comparison, other options presented such as a triangle, point or cube have other dimensions involved. Specifically, a triangle falls in two dimensions as it has both length and width; a cube is a three-dimensional object possessing length, width, and height; and a point, though it lacks all three dimensions, is not accurate as it doesn't have length, which is the key criterion in the question.
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convert 15000 ounces to tons
Answer:
The answer is 0.42525 TONS (METRIC)
Lee drove 420 miles and used 15 gallons of gasoline. How many miles did Lee's car travel per gallon of gasoline? please help will give brainlist and worth of lot of points please help
Answer:
28 miles per gallon
Step-by-step explanation:
you divide 420 by 15 to see how many miles per gallon and
420 divided by 15= 28 (gallons)
28 miles I think I’m not sure but just divide 15 into 420 and you should get the answer.
Please help I am on a timer!!!!❤️❤️❤️❤️
Answer:
5
Step-by-step explanation:
There are 9 friends with 4 or 5 pets so, you subtract 9-4 because there are 4 friends with 2 or 3 = 5 because the question is asking how many more.
A figure is composed of two half-circles.
What is the approximate perimeter of the
figure?
14
t 14
La
14
A 110 units
C 220 units
D 248 units
B 138 units
Answer:
The answer is C, 220 units.
Plz help me with it
Answer: 5
Step-by-step explanation:
[tex]\sqrt{4x+5}-\sqrt{x-1}=\sqrt{x+4}\\\\(\sqrt{4x+5}-\sqrt{x-1})^2=(\sqrt{x+4})^2\\\\4x+5-2\sqrt{(4x+5)(x-1)}+x-1=x+4\\\\5x+4-2\sqrt{(4x+5)(x-1)}=x+4\\\\4x=2\sqrt{(4x+5)(x-1)}\\\\2x=\sqrt{(4x+5)(x-1)}\\\\(2x)^2=(\sqrt{(4x+5)(x-1)})^2\\\\4x^2=(4x+5)(x-1)\\\\4x^2=4x^2+x-5\\\\0=x-5\\\\5=x\\\\\\Check:\\\sqrt{4(5)+5}-\sqrt{(5)-1}=\sqrt{(5)+4}\\\\\sqrt{25}-\sqrt{4}=\sqrt9\\\\5-2=3\ \checkmark[/tex]
can someone please explain what is happening to rectangle A? Answer choice c says: rotate rectangle A 90 counterclockwise about the origin reflect it over the y axis and translate it 1 unit up. answer D says rotate rectangle a 90° clockwise about the origin and translated 2 units up and 6 units to the right A and B are in the pic.
C is the one you're looking for
Solve the system of equations. Y = 2x-2 y = x^2-x-6
Answer: (-1, -4) and (4, 6)
Step-by-step explanation:
The pair of solution to the equations y = 2x - 2 and y = x² - x - 6
are (4, 6) and (-1, -4).
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have two equations:
y = 2x - 2
y = x² - x - 6
Equate both equations:
2x - 2 = x² - x - 6
x² - 3x - 4 = 0
Solving using the quadratic formula:
[tex]\rm x_{1,\:2}=\dfrac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \left(-4\right)}}{2\cdot \:1}[/tex]
x = 4, -1
y = 6, -4
Thus, the pair of solution to the equations y = 2x - 2 and y = x² - x - 6
are (4, 6) and (-1, -4).
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Solve x 2 - x - 5/2 = 0 using the quadratic formula.
Answer:
your answer would be: x=1±√11 all divided by 2
Hope this helps
~QueenSupreme AKA Trinity
Answer: [tex]\bold{\dfrac{1\pm \sqrt{11}}{2}}[/tex]
Step-by-step explanation:
[tex]x^2-x-\frac{5}{2}=0\quad \text{multiply by 2 to get:}\\\\2x^2-2x-5=0\quad \rightarrow \quad a=2,\ b=-2,\ c=-5\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(2)(-5)}}{2(2)}\\\\\\.\ =\dfrac{2\pm \sqrt{40}}{2(2)}\\\\\\.\ =\dfrac{2\pm \sqrt{44}}{2(2)}\\\\\\.\ =\dfrac{2\pm 2\sqrt{11}}{2(2)}\\\\\\.\ =\boxed{\dfrac{1\pm \sqrt{11}}{2}}[/tex]
Hi So I know M∠2 + 63° (im pretty sure at least) but what does M∠3 equal?
Answer:
m<2 = 63
m<3 = 117
Step-by-step explanation:
<1 and <2 are alternate interior angles and are therefore equal. M<1 = 63 degrees, so m<2 must be the same thing.
<2 and <3 are on the same straight line.
They are supplementary.
Therefore they equal 180 degrees.
63 + m<3 = 180 Subtract 63 from both sides.
63 - 63 +m<3 = 180 - 63 Collect like terms
m<3 = 117