Answer:
The answer is option 1.
Step-by-step explanation:
You have to use Distributive Laws,
[tex]a(b + c) = ab + ac[/tex]
So for this question :
[tex](6r - 1)( - 8r - 3)[/tex]
[tex] = 6r( - 8r) + 6r( - 3) - 1( - 8r) - 1( - 3)[/tex]
[tex] = - 48 {r}^{2} - 18r + 8r + 3[/tex]
[tex] = - 48 {r}^{2} - 10r + 3[/tex]
The product of the expression is (6r - 1) (-8r - 3) is negative 48 r squared minus 10 r + 3.
What is an algebraic expression?Algebraic expression is a mathematical equation in which one or both sides is an algebraic expression, such as 2x + 7y = 3.
According to this question, the following expression is given:
(6r - 1) (-8r - 3)
6r × -8r = -48r²- 1 × -8r = 8r6r × -3 = -18r-1 × -3 = 3Therefore, the product of the expression is -48r² -10r + 3
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Which is not an equation of the line going through (3,-6) and (1,2)?
O A. y-2 = -4(x - 1)
O B. y=-4x + 6
O C. y+ 6 = -4(x-3)
O D. y-1 = -4(x-2)
Answer:
B
Step-by-step explanation:
☺
Can someone help me with this?
The right answer is 40
please see the attached picture for full solution
Hope it helps
Ray has 3 gallons of maple syrup. He
fills nine 1-quart bottles with syrup and
gives them away. How many quarts of
maple syrup does Ray have left?
(1 gallon = 4 quarts)
Answer:
3 quarts
Step-by-step explanation:
Kiwi and Corn got into an argument over if 1.75 was a reasonable estimate for 6. Do you think 1.75 was a reasonable estimate for 6? Why or why not?
Answer:
No, it is not.
Step-by-step explanation:
comparing the two given values, 1.75 and 6, estimating 1.75 for 6 is not reasonable. This is due to the fact that converting 1.75 to the nearest whole number gives 2 which is far away from 6. Since,
6 - 2 = 4
So, estimating 1.75 for 6 would involve a large value of error. Which make it unreasonable. It would have been more reasonable to estimate 1.75 for 2.
84 is 30% of what number?
2.8
25.2
280
2520
The right answer is 280
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
84 is 30% of 280
Step-by-step explanation:
Write and solve this equation: 84 = 0.30n, where n is the unknown number.
Then n = 84 / 0.30 = 280
84 is 30% of 280
Find the value of x.
Answer:
x=root 70
Step-by-step explanation:
We have three triangles in this picture. The big triangle and 2 small triangles. They are all similar triangles.
Thus, because they are similar we have (7+3)/x=x/7
That gives us 10/x=x/7.
Cross products gives us x^2=70, so x=root 70
6. At a toy shop, 45 toys were sold in September. A bonus will be given to workers if they can increase sales by 40% in October. How many toys must the sales team sell in October to receive the bonus?
Answer:
63 toys.
Step-by-step explanation:
45 increased 40 percent
45(1.4)
63
63-45=18
The toy shop needs to sell 18 more toys in october, for a total of 63 toys.
Mr. Hammar is painting his house. He uses a 16 foot extension ladder to reach the top peak of the house. The ladder is positioned 5 feet away from the house. How far up the house does the ladder reach? Round your answer to the nearest tenth.
Step-by-step explanation:
For every 4 feet that the ladder rises, the bottom of the ladder should be 1 foot away from the wall. If you are going to climb onto a roof, the ladder should extend 3 feet higher than the roof. Also, the upper and lower sections of an extension ladder should overlap to provide stability
Point R has coordinates (-5, -7) and point T has coordinates (3,-3).
Which point is located 1/4 of the distance from point R to point T?
Enter x-coordinate of the point here
and they
coordinate of the point here
Answer:
(-3,-6)
x-coordinate = -3
(I think)
Step-by-step explanation:
The pictures show my explanation.
Hope this makes sense! I hope this helps! Have a great day! :)
PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!
A line has *fill in blank* but no *fill in blank*.
Answer:
A line has length, but no width or height
Step-by-step explanation:
I know this is easy but can someone answer this ?
Answer: 57.15°F
Step-by-step explanation: If I'm reading this correctly the tempature was 62.4°F at 6:00 PM. By 8:00 PM it dropped by 5.25°F....therefore...all we have to do is...
62.4°F - 5.25°F = 57.15°F
The tempature is 57.15°F at 8 PM, I hope this helps!
AB is a segment with one endpoint A(-7,9) and midpoint M(8,1). Can
you find the coordinates of the other endpoint B?
Enter the x-coordinate of the other endpoint here
Enter the x-coordinate of the other endpoint here
Answer:
x-coordinate of the other endpoint: 23
y-coordinate of the other endpoint: -7
Step-by-step explanation:
To find the x-coordinate of the other endpoint, we need to find the run between the known endpoint and the midpoint
run: xM - xA = 8 - (-7) = 15
where xM and xA are the x-coordinates of M and A respectively.
The run between the other endpoint and the midpoint must be the same as before:
x - 8 = 15
x = 15 + 8
x = 23
To find the y-coordinate of the other endpoint, we need to find the rise between the known endpoint and the midpoint
rise: yM - yA1 = - 9 = -8
where yM and yA are the y-coordinates of M and A respectively.
The rise between the other endpoint and the midpoint must be the same as before:
y - 1 = -8
y = -8 +1
y = -7
Please help me with this
Answer:
it 8
Step-by-step explanation:
4^3 is 64
2^3 is 8
64/8 is 8
what is the difference for -22 - (-26)
Answer:
4
Step-by-step explanation:
Consider a circle whose equation is x2 + y2 + 4x - 6y - 36 = 0. Which statements are true? Check all that appl"
To begin converting the equation to standard form, subtract 36 from both sides.
mu To complete the square for the x terms, add 4 to both sides.
Answer:
To complete the square for the x terms, add 4 to both sides.To convert the given equation of the circle to standard form we should do as follows.
1. Add 36 to both sides of the equation.[tex]x^{2} +y^{2}+4x-6y-36+36=36\\ x^{2} +y^{2}+4x-6y=36[/tex]
2. We order the terms according to their variables.[tex]x^{2} +4x +y^{2}-6y=36[/tex]
3. Divide the linear term by 2, then elevate it to the square power.[tex]x^{2} +4x + (\frac{4}{2} )^{2} +y^{2} -6y+(\frac{6}{2} )^{2} =36[/tex]
4. Solve operations, and add the same units to the other side of the equation.[tex]x^{2} +4x+4+y^{2} -6y+9=36+4+9\\[/tex]
5. Now, we sum costant terms, and factor both trinomials.[tex](x+2)^{2} +(y-3)^{2} =49[/tex]
As you can observe, the circle has center at (-2,3) and it has a radius of 7 units.
Notice that the second choice is correct, because we added 4 units to both sides to complete the square for the x terms.
Is (0, 4) a solution to the equation y = x?
Answer:
No
Step-by-step explanation:
Plug x=0 and y=4 into y=x
4 doesn't equal 0
Two sides of a parallelogram are in the ratio 5:4. If the perimeter is 54cm , the length of the larger side is -
9
11
12
15
Answer:
15 cm
Step-by-step explanation:
If we have two sides of a parallelogram in the ratio 5:4, then the other two sides must also be in the same ratio.
If the perimeter is 54, we can create the following equation regarding the length of each side
[tex]5x+4x+5x+4x=54\\\\18x=54\\\\x=3[/tex]
As our value for x is 3, and we know that the value for the larger side is 5x, we can simply plug in x to get the length of the larger side
[tex]5x\\\\5(3)\\\\15[/tex]
WILL GIVE BRAINIEST! Triangle ABC is isosceles with AB = BC. If AC = 20 and {ABC} = 240, then find the perimeter of triangle ABC.
Answer:
72
Step-by-step explanation:
Since the triangle's area is 240, the base * height must equal 480 because for the area of a triangle it is half of that. Since you know that the base AC = 20, find out what you can multiply by 20 to get 480. This gives you a result of 24. Now that the height is found divide the triangle into two right triangles. Now Just use the pythagorean theorem to find the legs of the triangles. AB = BC = 26. 26 + 26 + 20 = 72 which is the perimeter.
The Perimeter of triangle ABC is 72 unit
What is isosceles triangle ?Isosceles triangles are those triangles that have at least two sides of equal measure. We know that triangles are three-sided enclosed polygons and they are classified as equilateral, isosceles, and scalene, based on the length of their sides. In this article, we will learn about the definition of an isosceles triangle and its properties.
We have
AC = 20 unit
Area of triangle {ABC} = 240 unit square
AB = BC
draw the altitude to AC, let’s call it BD (Construction)
Now,
we know the area of triangle = 1/2 × AC × BD
240 = 1/2 × 20 × BD
BD = 240 × 2/20
BD = 24 unit
AD=CD (Altitude to base of isosceles triangle)
2AD=AC
2AD=20
AD=10 (Parts-Whole Postulate, substitution)
in ∠ABC using Pythagorean theorem
[tex]AD^{2}[/tex] + [tex]BD^{2}[/tex] = [tex]AB^{2}[/tex]
[tex]AB^{2}[/tex] = [tex]10^{2}[/tex] + [tex]24^{2}[/tex]
AB = [tex]\sqrt{100 + 576}[/tex]
AB = [tex]\sqrt{676}[/tex]
AB=26
AB=BC=26 (Definition of Isosceles Triangle)
AC = 20
Perimeter of triangle ABC = AB+BC+AC (definition of Perimeter)
Perimeter of triangle ABC = 26 + 26 +20
Perimeter of triangle ABC = 72 unit
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Mouse population is 25,000 and is decreasing at a rate of 20% per year what is the population of mice after 3 years
Answer:
10,000
Step-by-step explanation:
3 years x 20% = 60%
60% of 25000 is 15000
25000 -15000 = 10,000
Given: Angle1 and Angle2 are complements,
Angle2 and Angle3 are complements, and mAngle1 = 35°.
Prove: mAngle3 = 35°
4 lines extend from a point and form 3 angles. The angles are labeled 1, 2, 3 from left to right.
Complete the missing parts of the paragraph proof.
By the , we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of angles. Then, using the property, the measure of angle 3 is degrees.
Answer:
Step-by-step explanation:
complementary angles =90 degrees
Angle 2+ angle 1 = 90 degrees
Angle 1 =35 degrees
Angle 2 = 90-35 = 45 degrees
Angle 2 + angle 3 = 90
Angle 3= 90-45 = 35 degrees ( proved)
I hope this help
Answer:
Given: Angle1 and Angle2 are complements,
Angle2 and Angle3 are complements, and mAngle1 = 35°.
Prove: mAngle3 = 35°
4 lines extend from a point and form 3 angles. The angles are labeled 1, 2, 3 from left to right.
Complete the missing parts of the paragraph proof.
By the
✔ congruent complements theorem
, we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of
✔ congruent
angles. Then, using the
property
✔?
, the measure of angle 3 is
✔ 35
degrees.
Step-by-step explanation:
30. The box-and-whisker plot shows the average temperatures in Tucson, Arizona in December. (1 point)
Which statement about the temperatures in Tucson must be true?
About half of the days in December had average temperatures above 60 degrees.
About half of the days in December had average temperatures between 52 and 60 degrees.
The coldest day in December was 52 degrees.
The hottest day in December was 65 degrees.
Answer:
About half of the days in December has average tempetare between 52 and 60 degrees
(SEE THE ATTACHMENT)
Step-by-step explanation:
See the box-and-whisker plot.
Median = 58
1st quartile (which is the median of all value below 58) = 52
2nd quartile (which is the median of all value above 58) = 60
From 1st quartile to median = Almost quarter of the values
From median to 2nd quartile = Almost quarter of the values
From 1st quatile to 2nd quartile = Almost half of the values
So
1st statement is wrong
2nd statement is correct
3rd statement is wrong (Coldest day was 49 degrees)
4rth statement is wrong (Hottest day was 68 degrees)
Peter rides a bike along a triangular path in the neighborhood park. The sides of the path measure 3.36 miles, 4.18 miles, and 5.61 miles. How far does Peter ride? 10.75 miles miles 12.35 miles 13.15 miles
a triangular path in the neighborhood park. The
sides of the path measure 3.36 miles, 4.18 miles, and 5.61 miles. How far
does Peter ride?
Answer:
The distance that Peter rides is:
13.15 miles.Step-by-step explanation:
To identify the miles that Peter rides, you must imagine the triangle with measures: 3.36 miles, 4.18 miles, and 5.61 miles. How you can suppose, Peter regularly rides exactly by each side of the triangle mentioned, then you must find the perimeter of the triangle to identify the miles that Peter rides, remember that the perimeter of an irregular triangle is:
Perimeter of a triangle = side + side + sideIf you replace the formula, you obtain:
Perimeter of a triangle = 3.36 miles + 4.18 miles + 5.61 miles Perimeter of a triangle = 13.15 miles
Question 1
In this hanger, the weight of the triangle is x and the weight of the square is y.
a. Write an equation using x and y to represent the hanger.
B. If x is 6, what is y ?
Answer:
a. -3x = -2y
When x=6, y=9
Step-by-step explanation:
From the hanger, There are two sides
If x=triangle and y=square
First side has 1 triangle and 3 squares
It can be represented by
x+3y
Second side has 4 triangles and 1 square
It can be represented by
4x+y
Equate the first and second side
x+3y=4x+y
Collect like terms
x+3y-4x-y=0
-3x+2y=0
-3x=-2y
Find y when x=6
-3(6)=-2y
-18=-2y
Divide both sides by -2
-18/-2=-2y/-2
9=y
y=9
The value of y when x = 6 is 9
Given that the weight of the triangle is x and the weight of the square is y.
For the hanger at the left, the resulting equation will be:
x + 3y (1 triangle and 3 square)
For the right-hand side
4x + y (4 triangles and 1 square)
Equating both expressions
x + 3y = 4x + y
x - 4x = -2y
-3x = -2y
3x = 2y
If x = 6, hence;
3(6) = 2y
2y = 18
y = 9
Hence the value of y when x = 6 is 9
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How are the following three expressions different from each other, if indeed they are? do not just state the value of each but explain what may be the same or different. Be as specific as you can be in your response.
1.(-2)^2
2.-2^2
3. -(2)^2
Answer:
Below.
Step-by-step explanation:
Number is different to the other 2. Its value is +4 because negative 2 squared = + 4.
The other 2 have negative values and -2 = -(2) so they have the same value, -4.
If the two angles are complementary, find the measure of each of angle.
Answer:
Step-by-step explanation:
If two angles are complementary, the sum of measures of two angles is 90
Using this, you can find the angles
Answer:
Two Angles (A and B) are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. This is:
A + B = 180
so
A=180 - B or
B=180-A
Examples:
• 60° and 30° are complementary angles.
• 5° and 85° are complementary angles.
Seven plus five times a
number is greater than or
equal to negative nine.
Answer:
The number -1 will give you more than -9
Step-by-step explanation:
5+7= 12 x -1= -12 more than -9
hope this helps!
The solution to the inequality will be x ≥ ( -16 / 5 ).
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given inequality is Seven plus five times a number is greater than or
equal to negative nine.
The inequality will be solved as below:-
7 + 5x ≥ -9
5x ≥ -16
x ≥ -16 / 5
Therefore, the solution to the inequality will be x ≥ ( -16 / 5 ).
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equation of the line that passes through (2, -1) and has a slope of
-5
please need help I will be MARKING as BRIANILIST. thank you so much.
81 m+27 t
[tex]solution \\ 9(9m + 3t) \\ = 9 \times 9m + 9 \times 3t \\ = 81m + 27t[/tex]
hope it helps..
Good luck on your assignment...
Help ASAp will give brainliest!!!!!!!
Answer:
x = 51
Step-by-step explanation:
2x + 4 + x + 23 = 180
3x + 27 = 180
3x = 153
x = 51
Answer:
Step-by-step explanation:
Because the lines are intersecting they are equal to 180. Therefore...
(x+23) + (2x+4) = 180
3x + 27 = 180
3x = 153
x = 51
can someone pls help
Answer:
3.6
Step-by-step explanation:
sine theta=3.2/5.1
theta=sine^-1(3.2/5.1)
theta=38.86230987
sine 38.86230987=x/5.7
x=sine 38.86230987(5.7)
x=3.576470588
Rounded to the nearest tenth is 3.6