Answer:
m
Step-by-step explanation:
The slope of a line is constant. This means no matter the two points on the line that you use to calculate the slope you will get the same number for the slope. Your equation is in slope-intercept form, y=mx+b where m is slope and b is y-intercept. So your equation is in that exact form with the same use of constant numbers m and b where m is slope and b is y-intercept.
So the answer is m.
However, we could use slope formula = change in y divided by change in x.
Change in y from x=2 to x=13 is [(m(13)+b)-m(2)+b)]=13m+b-2m-b=13m-2m+b-b=11m+0=11m.
Change in x is 13-2=11.
So the slope is 11m/11=m.
The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number. What is the sum of the two numbers?
Answer:
7 and 1 / 2
Step-by-step explanation:
xy = 9
( 1 / x ) = 4 ( 1 / y )
y = 4x
x ( 4x ) = 9
4x^2 = 9
x = 3 / 2
( 3 / 2 ) y = 9
y = 6
6 + ( 3 / 2 ) = 7 and 1 / 2
The two numbers are 3/2 and 6.
What are reciprocal numbers?The reciprocal of a number is this fraction flipped upside down.
Given that, The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number.
Let the numbers be a and b.
ab = 9.......(i)
1/a = 4/b
a = 4b..........(ii)
Using (i) in (ii)
4b×b = 9
b² = 9/4
b = 3/2
a×3/2 = 9
a = 6
Hence, The two numbers are 3/2 and 6.
For more references on reciprocal numbers, click;
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A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?
Answer:
9 mmStep-by-step explanation:
A triangle has a height of 6mm and an area of 27mm2. What is the length of the base of the triangle?
----
To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.
We use the inverse formula
base = 2A : height
2 * 27 : 6 = 9
------------------------
check
6 * 9 : 2 = 27
the answer is good
Line segment XZ is congruent to line segment XZ because of the:
Answer:
They are both the same line
Step-by-step explanation:
The length of a rectangular room is 20 times longer than the width . If the perimeter is 588, what are the dimensions of the room
Answer:
im a teacher sorry not giving answer only hint
explanation:
To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.
thank you
Is y= - 4x + 1 proportional
Answer:
Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph. So yes it does equal a proportional relationship.
Hope this helps :)
Answer:
Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph. So yes it does equal a proportional relationship.
Step-by-step explanation:
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Complete the blanks in the materials list to find the total cost of the plumbing fixtures. The quantity of needed items is listed you have to figure the total cost of the materials for the job.
Answer:
$3,466.12 Hope this helped.
Two sailboats started at the same location. Sailboat A traveled 5 miles west, then
turned 29° toward the north and continued for 8 miles. Sailboat B first went south
for 8 miles, then turned 51° toward the east and continued for 5 miles. Which
sailboat was farther from the starting point? Explain your reasoning.
The given question can be solved by applying the cosine rule. Therefore, Sailboat A is 12.61 miles away from the starting point. Thus it is the farthest from the starting point.
a. To determine the distance of sailboat A from the stating point.
Applying the cosine rule to the path traveled by sailboat A, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ
= [tex]5^{2}[/tex] + [tex]8^{2}[/tex] - 2(5*8) Cos (180 - 29)
= 25 + 64 -80 * -0.8746
[tex]c^{2}[/tex] = 89 + 70
[tex]c^{2}[/tex] = 159
c = [tex]\sqrt{159}[/tex]
= 12.6095
Thus, the distance of sailboat A from starting point is 12.61 miles.
b. To determine the distance of sailboat B from the stating point.
Applying the cosine rule to the path traveled by sailboat B, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ
= [tex]8^{2}[/tex] + [tex]5^{2}[/tex] - 2(5*8) Cos (180 - 51)
= 64 + 25 -80 * -0.6293
[tex]c^{2}[/tex] = 89 + 50.344
= 139.344
c = [tex]\sqrt{139.344}[/tex]
= 11.8044
c = 11.80 miles
Thus, the distance of sailboat B from starting point is 11.80 miles.
Comparing the distances of the sailboats from the starting point, sailboat A is farther from the starting point.
A sketch is attached to this answer for better reasoning.
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The triangle below models a section of the supports you might see in a construction crane.
a. What is the sum of the angle measures of the triangle? Show your work.
1. Alt interior = 60
2. angle A + angle B + 2 =180
3. x supplemental
4. Alt interior = 90
5. Supplimentary = 90
(A is already solved)
b. Check your answer to problem 3a. Show your work.
(Please answer b)
Exactly what was your answer for a
TJ wants to sell his antique 1966 Mustang. He begins to set his price by looking at ads and finds these prices: $12,000, $9,500, $7,500, $14,000, and $12,000. What is the mean, median, mode, and range price?
Answer:
Range: 6,500
The difference between the largest and the smallest number.
Mode: 12,000
The number that appears most.
Mean: 11,000
Because its the average of all numbers
Median: 9,500
The middle number
8) What are the measures of angles x, y, and z?
Step-by-step explanation:
y=55°(corresponding angles are equal)
x=55°(alternate angles are equal).
z+55°=180°
=180-55=z
z=125°
Answer:
x = y = z = 55°
Step-by-step explanation:
x = 55° (vertical angles)
y = 55° (corresponding angles)
z = 55° (corresponding with x -> z = x)
Sue has 18 3/4 cups of sugar Each pie calls for 1 1/2 cup of sugar Sue wants to break 12 pies Does she have enough sugar How much will be left over or how much more does she need
Answer:
she will have 3/4 cups left over
Step-by-step explanation:
1 1/2 times 12 is 18
Eli is following this recipe to bake bread rolls.
He uses 500 g of flour.
How much of the other ingredients does he use?
Recipe: Makes 12 bread rolls
400 g flour
6 g salt
8 g yeast
40 mL oil
360 mL water
Answer:
7.5 g salt
10g yeast
50 ML oil
450 ML water
Step-by-step explanation:
You would do 1/4 of the amount of (insert ingredient amout) added to the total (insert ingredient amount)
help needed please im stuck
Answer:
a) b^3
b) x^3
Step-by-step explanation:
It can be helpful to think of the exponent as specifying the number of times the base is a factor in the product. Of course, common factors in the numerator and denominator cancel.
a)[tex]\dfrac{b^7}{b^4}=\dfrac{b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b}{b\cdot b\cdot b\cdot b}=b\cdot b\cdot b=b^{7-4}=\boxed{b^3}[/tex]
__
b)[tex]\dfrac{x\cdot x^5}{x^2\cdot x}=\dfrac{x\cdot x\cdot x\cdot x\cdot x\cdot x}{x\cdot x\cdot x}=x\cdot x\cdot x=x^{6-3}=\boxed{x^3}[/tex]
what is point W( 7, -4) reflected over the x-axis
Answer:
(7, 4)
Step-by-step explanation:
In this case, where we reflect W(7, -4) over the x-axis, the x-coordinate of the reflection is the same: 7. But the -4 becomes +4 through this reflection.
Reflected point is (7, 4)
Write an equation in slope-intercept form of the line please help me
Answer:
The formula is generally represented equationally as ( y - Y1 ) = m( X - X1 ) so now let's substitute the points plotted on the graph.
it is equal to (y - 4) = m(x - 0)
and now we look for the slope
m = y2 - y1/ x2 - x1
which can be directly substituted according to every line connecting each x value to a certain y value.
Find the values of x and y, and z
Answer:
z = 15
y = 8
x = 7
Step-by-step explanation:
All of the angles added together equal 180.
4z + 4z + 4z = 180
z = 15
3y - 1 = 23 ( all sides equal each other because all angles equal each other )
y = 8
2x + 9 = 23 ( similar to how I found y )
x = 7
I hope this helps!!
The DEGREE of algebraic expression 2xy + 7 is
A) 2
B) 3
C) 7
D) xy
TY!!
Katy kept a tally of the number of emails she received each day for a week.
Monday 10
Tuesday 0
Wednesday 10
Thursday 1
Friday 0
according to the table,what was the rate of changing between Wednesday and Thursday?
Answer:
9
Step-by-step explanation:
SOMEONE PLEASE HELP‼️‼️‼️ ILL MARK BRAINLYEST PLEASE ‼️‼️
The length of the midsegment is _____ of the length of the base of the triangle.
A. 1/3
B. 1/4
C. 1/5
D. 1/2
Answer: 1/2
Step-by-step explanation:
No matter which midsegment you created, it will be one-half the length of the triangle's base (the side you did not use), and the midsegment and base will be parallel lines!
GEOMETRY Find the the area of the polygon with the given vertices.
C(1,1) D(1,4)E(4,4)F(4,1)
pls give answer
worth 100
Pls help i will give brainliest!
find the sum
(2x+6)+(4x-12)
HELp
Answer:
6x - 6
Step-by-step explanation:
(2x + 6) + (4x - 12) ← remove parenthesis
= 2x + 6 + 4x - 12 ← collect like terms
= (2x + 4x) + (6 - 12)
= 6x + (- 6)
= 6x - 6
A board is 80 inches long. How long is it in feet and inches? please help ;-;
Answer:
6 feet and 8 inches
Step-by-step explanation:
1 foot = 12 inches
Answer: 6ft & 8 inches
Step-by-step explanation: 12 inches = 1 feet
2 feet = 24
3 feet = 36
4 feet = 36
5 feet = 60
6 feet = 72
80 - 72 = 8
6ft & 8 inches
Twenty-nine lots of p=
Answer:
29p
Step-by-step explanation:
pretty simple
Answer:
29p
Step-by-step explanation:
you
take
p
multiply
by
29
and
the
answer
is
29p
Can someone help me Expand 3(z+2)
Answer: 3z+6
Step-by-step explanation:
(3) (z+2)
(3) (z)+(3) (2)
3z+6
a woman is 16 weeks pregnant with her first baby. she asks how long it will be before she feels the baby move
It will take about 1 month or 2 months for the baby to start moving since a pregnancy takes 9 months so the most logical thing is that the baby starts to move between 1 month or 2 months
33-37 odd *equations only* Help pleaseeee I didn’t even know about this until 20 mins ago
[33] x = 140° & y = 118°
The lines are parallel, sso we can tell that y will equal 118° degrees because of corresponding angles. Then for x, we can add the non-adjacent angles together, 118° + 22° = 140°
[35] x = 26° & y = 64°
x will be 180° - 90° - 64° = 26° because a triangle's angles are equal to 180° and the box represents a 90° angle. y is equal to 64° because the lines are parallel, and if we "flip" one of the triangles around we can see that y and 64° are corresponding angles. (to check, we add 26° + 64° + 90°, and it does equal 180°!)
[37] Unfortunately, in this photo I cannot see the problem.
Have a nice day! - I saw you asking for help on this, I'm sorry, I was asleep ;-;
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
A temperature of -3°F is how many degrees below the freezing
temperature of water?
Answer:
Step-by-step explanation:
6
What is the completely factored form of ? (2x - 5)(3x 1) (2x 5)(3x - 1) (2x - 1)(3x - 5) (2x 1)(3x 5).
Answer: (3x+1) (2x-5)
What is the area of this tile?
Answer:
Area: 9 in.²
Step-by-step explanation:
Area of square: side²
=> Area of Square tile: 3²
=> 9 in.²
Hoped this helped.
Answer:
9
Step-by-step explanation:
To find the area of a square, multiply both sides.
3*3=9
What expression is equivalent to tje alegbraic expression
2n-n
Possible Answers
n+2
2n+2
n²
n
3n
Answer:
n
Step-by-step explanation:
2n - n ← factor out n from each term
= n(2 - 1)
= n × 1
= n