The slope of a line parallel to the line x + 5y = 9 is; Choice B: -1/5
Slope of a lineThe slope of parallel lines from line geometry are equal.
The given parallel line equation is; x + 5y = 9:
Hence, it follows that the two lines have equal slopes.
By rewriting the equation to take the slope-intercept form of straight lines, it follows that;
y = (-1/5)x + 9On this note, the slope of the parallel lines is; -1/5
Read more on slope of a line;
https://brainly.com/question/3493733
How do we calculate using the column method
[tex] 274561 + 367238[/tex]
Answer:
641799
Step-by-step explanation:
274561
+367238
641799
Please answer thankssss
[tex]\frac{7.5*10^{12} }{2.5*10^{4} } =\frac{7.5}{2.5} *\frac{10^{12} }{10^{4} } = 3 * 10^{12 - 4} = 3*10^8[/tex]
Hope that helps!
[tex]3 \times 10^8[/tex]
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Explanation:
Divide 7.5 over 2.5 to get 3
Dividing the other terms means we subtract the exponents using this rule
[tex]\frac{a^b}{a^c} = a^{b-c}[/tex]
So,
[tex]\frac{10^{12}}{10^4} = 10^{12-4} = 10^8[/tex]
Overall,
[tex]\frac{7.5 \times 10^{12}}{2.5 \times 10^4} = 3 \times 10^8[/tex] which points to choice C
If you wanted to expand this out, then 3.0 becomes 300,000,000 = 300 million after moving the decimal point 8 spots to the right.
Write an equation for the line in slope-intercept form.
Answer:
y= -2x +3
Step-by-step explanation:
What is the slope-intercept form?• It is when the equation of a line is written as y= mx +c, where m is the gradient (or slope) and c is the y- intercept.
How can we find the equation of a line?• Two things are needed in order to find the equation of a line, namely
GradientA pair of coordinates (or a point in which the line passes through)Do note that in the case where the gradient of the line is not stated in the question, it can be obtained using the gradient formula as long as you have two pairs of coordinates. In the formula shown below, (x₁, y₁) is the first pair of coordinates while (x₂, y₂) is the second pair of coordinates.
[tex]\boxed{gradient=\frac{y_1 -y_2}{x_1 -x_2} }[/tex]
Working to question:Firstly, let's work out the gradient of the line! In order to do so, we need to identify 2 pairs of coordinates so that we can plug them into the gradient formula.
2 points identified: (0, 3) and (1, 1)
Using the gradient formula,
gradient
[tex]=\frac{3-1}{0-1}[/tex]
[tex]=\frac{2}{-1}[/tex]
= -2
Substitute the value of the gradient into the equation:
y= -2x +c
c is the y-intercept, which is the y-value in which the line cuts through the y-axis (i.e. occurs at x= 0). Since we have already identified the y-intercept, (0, 3), as one of our points, we can substitute the y-coordinate value into c.
y= -2x +3
In the case where the y-intercept cannot be identified from the graph, you can substitute a pair of coordinates in which the line passes through into the equation after the value of m has been substituted. After solving for c, substitute its value back into the equation and you will arrive at your answer.
y= -2x +c
When x= 1, y= 1,
1= -2(1) +c
1= -2 +c
c= 1 +2
c= 3
Thus, the equation of the line is y= -2x +3.
How many of the scores from the group that studied in question eight are in one mean absolute deviation of the mean? Which scores are within one mean absolute deviation of the mean. Studied: 87 100 94 79 92 100 95 83 89 99 100 91 89 95 100 93 96 83. Did not study: 82 72 45 91 58 83 65 87 90 77 73 89.
Answer:
93
Step-by-step explanation:
Add all of the numbers and divide them by the number of numbers there are.
Hope this helped ·ω·
The volume of a rectangular prism is 125 cm³
. If the width of the prism is multiplied by a scale factor of 2, what is the volume of the new prism?
PLEASE HELP
Answer:
HE HE HE HA HE HE HE HAHEHEHEHEHEHEHHE
Solve the equation using the quadratic formula. 262 – 3b+85=-5
Answer:
b= 352/3
or b= 117.33
Step-by-step explanation:
262-3x+85=-5
-3x+(262+85)=-5
simplify the arithmetic
-3x+347=-5
Group all constants on the right side of the equation
-3x+347=-5
Subtract from both sides:
-3x+347-347=-5-347
Simplify the arithmetic:
-3x=-5-347
-3x=-352
isolate the x
-3x=-352
Divide both sides by -3
-3x/-3}=-352/-3}
Cancel out the negatives
3x/3}=-352/-3
Simplify the fraction
x= -352/-3
Cancel out the negatives
x=352/3
i need help whats 100 plus 20
Answer: 120
Step-by-step explanation:
100 + 20 = 120. that's it
Find the co-interior angle measurements for the measured angle.
?
Answer:
86°
Step-by-step explanation:
As we know that when a transversal intersects two parallel line , then the sum of co-interior angles is 180° . Hence here one of the two co-interior angles is 94° and we are are interested in finding the second one . So , let the unknown angle be x , then ;
[tex]\implies \rm x + 94^\circ = 180^\circ [/tex]
Subtract 94° from both sides,
[tex]\implies \rm x = 180^\circ -94^\circ[/tex]
Simplify,
[tex]\implies \rm \underline{\underline{x = 86^\circ}}[/tex]
Hence the required answer is 86°
Which relationships describe angles 1 and 2?
Answer:
angles one and two are supplementary angles and adjacent angles
Step-by-step explanation:
Definitions:
Supplementary angles: two angles that add to 180 deg
Adjacent angles: two angles that have a common side and a common vertex (corner point) and don't overlap
complementary angles: two angles that add up to 90 deg
vertical angles: two angles that are directly opposite from each other, formed by intersecting lines
100 points The length of a hall is 20 m and it area 100 sq .m. Find the breadth of the hall
Answer:
Here,L=20m , a=109sq.m
let,breadth be x
we have a=l×b
or,100=20×x
or,100/20=x
or,5=x
hence,the breadth of the hall is 5m.answer
Answer:
5m²
Step-by-step explanation:
To find the breadth of a rectangle (the hallwa) simply Divide the area by the length
So . .
100m² ÷ 20 = 5m²
State if each triangle is a right triangle.
Answer:
Yes.
Step-by-step explanation:
To find if a triangle is a right triangle or not, we use the Pythagorean theorem. The Pythagorean theorem states that [tex]a^{2} + b^{2} = c^{2}[/tex].
a and b are the triangle legs. The c is the hypotenuse of the triangle.
Now, to find if a triangle is a right triangle, we plug in 9 for a and b and 9root2 for c.
[tex]9^{2} + 9^{2} = (9\sqrt{2})^{2}[/tex]
81 + 81 = 81 * 2
162 = 162
So the given triangle, is indeed a right triangle.
Compare Select <,> or =.
10 qt ? 43
Answer:
<
Step-by-step explanation:
< because 10 is lower than 43
Also, can you please tell me 43 what quantity? like qt, or ml?
My gratitude attitude - THANKS!
-The dimensions of a rectangular garden were 2 m by 4 m. Each dimension was
Increased by the same amount. The garden then had an area of 48 m2. Find the
dimensions of the new garden. (Hint: let x be the amount of increase.)
Answer: 4 m
Step-by-step explanation:
Let the amount each dimension was increased by be x.
Now we can set up a equation.
(2+x)(4+x) = 48
8 + 2x + 4x + x^2 = 48
x^2 + 6x - 40 = 0.
We can factor the left side of the equation.
(x+10)(x-4) = 0.
Therefore, x equals either -10 or 4. Since you can't increase a dimension by a negative amount, x must equal to 4.
Answer:The new garden is 7m by 8m.
Step-by-step explanation:The dimensions of a rectangular garden were 4 m by 5 m. Each dimension was increased by the same amount. The garden then had an area of 56 m^2. Find the dimensions of the new garden.
Your welcome, mind pressing the golden crown down below it would help me out alot . and if u have any other questions or homework that u need to be answered u can message me
What is the mean of the data set: {24, 31, 12, 38, 12, 15 }
A) 12
B) 22
C) 24
D) 23.5
Answer:
22
Step-by-step explanation:
mean = sum of all data/n.o of data
= 24+31+12+38+12+15/6
= 22
A right triangle has side lengths 9, 40, and 41 as shown below.
Use these lengths to find cosX, sinX, and tan X.
Answer:
cos(X) = 40/41, sin(X) = 9/41, tan(X) = 9/40
Step-by-step explanation:
Know the acronym SOHCAHTOA: Sine is the Opposite side divided by the Hypotenuse, Cosine is the Adjacent side divided by the Hypotenuse, and Tangent is the Opposite side divided by the Adjacent side.
Factor completely 4xy − 7x 20y − 35. (x 5)(4y − 7) (x − 5)(4y 7) (x − 5)(4y − 7) (x 5)(4y 7).
Answer:
A)
Step-by-step explanation:
Given expression:
To factor the given expression completely.
Solution:
In order to factor the expression, we will factor in pairs.
We will factor the G.C.F of the terms in the pairs.
G.C.F. of and can be given as:
Thus, G.C.F. =
G.C.F. of and can be given as:
Thus, G.C.F. =
The expression after factoring the G.C.F. pairs is given as:
Taking G.C.F. of the whole expression as is a common term.
The expression is completely factored.
Step-by-step explanation:
Answer:
A. Got it right on my test
Step-by-step explanation:
Complete the following statements.
Provided that line AB and line CD are parallel, DNM and BME are congruent because they are .
Answer:
Step-by-step explanation:
because interior angles are equal with parallel lines
PLEASE HELP!! A triangle has a height of 3 meters and an area of 9 square meters. Is there a unique triangle represented by these measurements?
Answer:
No
Step-by-step explanation:
Since the height is 3, the base much is equal to 6 because when you use the triangle area formula you get (3*6)/2 which is = 9. This also doesn't contain any uniqueness in a triangle.
Donna's car indicates that she is averaging 29.8 miles per gallon of gasoline. The GPS shows that she is 208.6 miles from her destination. How many gallons of gasoline will she use to get to her destination if she maintains the same speed?
Answer:
30.6
Step-by-step explanation:
First you will Subtract 208.6 to 29.8 gallons then you'll get your answer but your still need to divide the numbers you got when you subtracted to the miles from her destination then there's your answer
50 POINTS BEST ANSWER
What you should do is to collect like terms, which are all the figures that has a coefficient like 8x, 7x, 6x. they all have x in them
so try doing the same for the 2 questions
Pls mark brainliest
help please. What is the measure of angle A ?
Answer:
Identify the smaller acute angle associated with the reflex angle. A reflex angle has more than 180 degrees but fewer than 360.
Draw a vertical line connecting the rays of the acute angle. ...
Measure the rise and the run of the acute angle. ...
Divide rise by run to find the slope of the acute angle. ...
Step-by-step explanation:
Maria receives a commission of 11. 5% for each pair of shoes she sells. She earned $207 in commission last week. What was the dollar amount of shoes she sold?.
Answer:
1,800
Step-by-step explanation:
Divide 207 by .115
This gives you the dollar amount of shoes sold.
I NEED TO SUMBIT THIS RN HELP
Answer:
77 degrees
Step-by-step explanation:
A triangle is 180 degrees
Step 1. 180-26=154
Step 2. 154/2=77 (Since both angles are x, it means they are both congruent, so you can assume that both angles are 77)
x=77
a. The measure of LKM is 35º, the measure of KLM is 72.5° and the measure of KLM is unknown.
b. The equation 35 + 72.5 + x = 180 can be used to find the measure of KLM.
c. The measure of ZKLM is 35º.
Correct the false statement:
Answer:
Step-by-step explanation:
B. True
A. Is a bit ambiguous. KLM technically speaking, I suppose, is sort of true, but KLM can be found. Enter true.
C. is False
35 + 72.5 + x = 180 Combine the terms on the left
107.5 +x = 180 Subtract 107.5 from both sides.
107.5 107.5
x = 72.5
Annual sales for a company are $155,000 and increases at a rate of 8% per year for 9 years.
y=?
y = 155000 (1+.08)⁹ ⇒ 309,845.72
Solve this n get pts :)
what angle is this? please help
Answer:
Adjacent angles
Step-by-step explanation:
I can't see answer choice D in the photo provided, but the answer would be adjacent due to that fact that angles a and b are right next to each other, without forming a 90 or 180 degree angle.
Answer:
the answer is a
Step-by-step explanation:
all of the lines are vertical
A shipping crate in the shape of a cube with edge lengths of 9 inches. Find the surface area of the box
235litre in cubic cm
the one who will first give answer marks as brainliest
What is the average speed of a car that travels 440 km in 15.4 hours?
A car travels 440km in 15.4 hours -> In 1 hour, the car travel 1/(15.4) the distance.
So in an hour, the car travel : 440 x 1/(15.4) = 28.5714285714... (round to 29)
So, the average speed of the car is approximately 29 km/h
