Answer:
No the lines are not perpendicular
Step-by-step explanation:
Slopes are not perpendicular reciprocals
Using the slope formula, find the slope of the line through the given points.
(12,0) and (4, -2)
Answer:
1/4
Step-by-step explanation:
We know :-
m = (y2 - y1)/x2 - x1Substitute ,
m = ( 0 -(-2)) / ( 12-4) m = 2/8 m = 1/4The length of a rectangle is 3 times as long as the width. If the perimeter of the rectangle is 1000 meters what are the side lengths?
Answer:
Width = 125 m
Length = 375 m.
Step-by-step explanation:
If the width = w then length l = 3w.
Perimeter = 2(w + l)
= 2(w + 3w)
2(w + 3w) = 1000
2 * 4w = 1000
w = 1000/8 = 125m
l = 3*125 = 375.
Step-by-step explanation:
width = x
length= 3x
perimeter of triangle =2( l + b)
1000 = 2( 3x + x )
1000÷ 2 = 4x
500=4x
x= 500÷ 4 = 125
width = 125
length = 125×3= 375
recheck by filling value
width= x = 125
length = 3x =375
perimeter = 2( l+ b)
= 2(375 + 125)
= 2× 500 = 1000
hence proved
hope it helps : )
I WILL GIVE BRAINLESS) Math Journal Write a word problem that involves a proportional relationship and needs more than one step to solve. Show how to solve the problem. 1
Answer:
565.48 sq. in.
Step-by-step explanation:
Given the Slant height and radius, we are asked to find the lateral area of the cone.
Lateral area of the cone is given by
where, 'r' is the radius of the cone.
and 'l' is its slant height.
From the figure, we see that the slant height of the cone, l = 15 in
Also, the radius of the cone, r = 12 in.
Therefore,
= 565. 48 sq. in. which is the required answer.
Answer:
A proportional relationship is written as:
y = k*x
where k is the constant of proportionality.
A general word problem that represents one of these relationships can be:
If each burger costs $1.50, what would be the cost of buying x burgers?
The cost of x burgers will be x times $1.50, so if we define y as the total price, we will have the relation:
y = $1.50*x
Which is a proportional relationship where the constant of proportionality is $1,50
Can someone maybe help me on number 6 and 7?
Given the following equation in point-slope form. Identify the slope and the point.
y - 5 = 3/4 (x+ 3)
M =
Answer:
point = (-3, 5)
slope = 3/4
Step-by-step explanation:
The formula for point slope is:
y - y1 = m (x - x1)
point (x1, y1)
slope m
So with your equation:
y - 5 = 3/4 (x+ 3)
point = (-3, 5)
slope = 3/4
Answer: M=0,75
Step-by-step explanation:
We have a linear function y=mx+bwhere m is slope ; by intercept Let's bring the functions to the standard form[tex]\displaystyle y-5 =\frac{3}{4} \cdot (x+3) \\\\ y=\frac{3x+9}{4} +5 \\\\ y=0,75x+2,25+5 \\\\ y=0,75x+7,25 \\\\ y=\boldsymbol {0,75}x+7,25 \\\\ \rm Then : \\\\ M=0,75[/tex]Please answer correctly nobody ever answers my questions im upset :C
Answer:
The measure of angle S is 60°
Step-by-step explanation:
This is an equilateral triangle, which means that all sides and all angles are equal. Hence, in order for all the angles to equal 180°, they each have to equal 60°
can anyone say me the answer from 4 d
Answer:
(a² + b² + 3ab)(a² + b² - 3ab)
Step-by-step explanation:
a⁴ - 7a²b² + b⁴
= (a⁴ + 2a²b² + b⁴) - 9a²b²
= (a²+b²)² - (3ab)²
= (a² + b² + 3ab)(a² + b² - 3ab)
The half-life of Carbon-14 is 5730 years. Suppose a fossil is found with 50% of Carbon-14 as compared to a living sample. How old is the fossil?
A) 5730 years
B) 57 years
C) 5728 years
D) 572 years
Answer:
The answer is A.
Step-by-step explanation:
Because it takes 5730 years for half of a sample of carbon-14 atoms to decay. It says that 50% of the carbon atoms have decayed so that means that 5730 years have elapsed for that fossil.
Hope this helps!
When x^3 + kx^2 − 4x + 2 is divided by x + 2 the remainder is 26, find k.
Answer:
k = 6
Step-by-step explanation:
Which number is a constant in the algebraic expression?
Negative x squared minus 6 y + 13 x + 7
Negative 6
Negative 1
7
13
Answer:
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
-x^2 -6y+13x+7
The constant is the term with no variable attached to it
7 is the constant
Kent has already saved $150 and he plans to save $20 every week. Proportional or Non-proportional
Answer:
this problem is Non-proportional
Step-by-step explanation:
hope this helps
f (x) = x +11. Find the inverse of f(x).
O A. f-1(2) = x3 + 11
O B. f-'(x) = (x + 11)3
O c. f-1(x) = 23 – 11
O D. f-1(x) = (2x – 11)3
Answer:
y = x - 11
Step-by-step explanation:
f (x) = x + 11
y = x + 11
x = y + 11
x - 11 = y
A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence of three actions. Each action consists of either pressing one of the buttons or pressing a pair of them simultaneously.
There are several ways the door can be locked, these ways illustrate combination.
There are 3375 possible combinations
From the question, we have:
[tex]\mathbf{n = 5}[/tex] --- the number of digits
[tex]\mathbf{r = 3}[/tex] ---- the number of actions
Each of the three actions can either be:
Pressing one buttonPressing a pair of buttonsThe number of ways of pressing a button is:
[tex]\mathbf{n_1 = ^5C_1}[/tex]
Apply combination formula
[tex]\mathbf{n_1 = \frac{5!}{(5-1)!1!}}[/tex]
[tex]\mathbf{n_1 = \frac{5!}{4!1!}}[/tex]
[tex]\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}[/tex]
[tex]\mathbf{n_1 = 5}[/tex]
The number of ways of pressing a pair is:
[tex]\mathbf{n_2 = ^5C_2}[/tex]
Apply combination formula
[tex]\mathbf{n_2 = \frac{5!}{(5-2)!2!}}[/tex]
[tex]\mathbf{n_2 = \frac{5!}{3!2!}}[/tex]
[tex]\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}[/tex]
[tex]\mathbf{n_2 = 10}[/tex]
So, the number of ways of performing one action is:
[tex]\mathbf{n =n_1 + n_2}[/tex]
[tex]\mathbf{n =5 + 10}[/tex]
[tex]\mathbf{n =15}[/tex]
For the three actions, the number of ways is:
[tex]\mathbf{Action = n^3}[/tex]
[tex]\mathbf{Action = 15^3}[/tex]
[tex]\mathbf{Action = 3375}[/tex]
Hence, there are 3375 possible combinations
Read more about permutation and combination at:
https://brainly.com/question/4546043
a line has a slope of 6 and an x-intercept of 7
write the equation for the line slope-intercept form
Answer:
y = 6x - 42
Step-by-step explanation:
Point (7,0)
y-intercept = 0 - (6)(7) = -42
Tara can type 180 words in 4 minutes at this rate how many words can she type in 10 minutes
Answer:
450 words at a rate of 45 word per minute
Step-by-step explanation:
180 divided by 4 equals 45
times 10 equals 450
Answer:
450 words in 10 minutes
Step-by-step explanation:
To set this up you need to put it like this:
[tex]\frac{180}{4} =\frac{x}{10}[/tex]
From here, you need to cross multiply, which will get you to: 180(10) = 4x
Multiply 180 and 10: 1,800
The equation will now be: 1,800 = 4x
Now, divide both sides by 4: 450 = x
what is the answer for this please help
Answer:
7/10
Step-by-step explanation:
At a local fitness, members pay a $6 membership fee and $3 for each aerobics class. Nonmembers pay $4 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the same?
Answer:
4 classes
Step-by-step explanation:
1. Write an equation for the cost for both members and nonmembers, in which x is the number of aerobics classes.
Cost = 3x + 6 for members
Cost = 4x for nonmembers
2. Set the equations to equal each other and solve.
3x + 6 = 4x
-3x -3x
6 = x
3. Check your answer
4*6 = 24
(3*6) + 6 = 24
For 4 aerobics classes, the cost for members and nonmembers is the same.
can i get help for number 3???!?! please!!
Answer:
1.) 40 degrees
2.) 75 degrees
3.) 105 degrees
4.) 140 degrees
Step-by-step explanation:
Straight lines are = 180 degrees. Each of the angles you must solve have a given exterior angle. All you have to do is subtract the exterior angle from 180 to find the interior angle
1.) angle = 180-140
2.) angle = 180-105
3.) angle = 180-75
4.) angle = 180-40
Answer:
Measure of angle 1 is: 40 degrees
Measure of angle 2 is: 75 degrees
Measure of angle 3 is: 105 degrees
Measure of angle 4 is: 140 degrees
Step-by-step explanation:
Each of these angles is supplementary, meaning it adds up to 180 degrees,Thus, we can just subtract the measurement given from 180 to get our angle's measurement :)
PLSSS HLEPP ME OUTT ITS URGENTTTT
Answer:
you got the answer right there
Step-by-step explanation:
Answer:
-14/25
Step-by-step explanation:
7x +2 / 2 - 5x = -2 / 5
First you can cross multiply (shown in the picture):
Next, expand the brackets:
5(7x + 2) = -2(2 - 5x) → 35x + 10 = -4 + 10x
Now, simplify:
35x + 10 = -4 + 10x → 35x - 10x = -4 - 10 → 25x = -14 → x = -14/25
Hope this helps!
Im not sure how to do this
Answer:
see explanation
Step-by-step explanation:
Since the figures are similar then then corresponding sides are in proportion , that is
[tex]\frac{NP}{ST}[/tex] = [tex]\frac{NM}{SR}[/tex] , substitute values
[tex]\frac{x}{25}[/tex] = [tex]\frac{18}{30}[/tex] ( cross- multiply )
30x = 450 ( divide both sides by 30 )
x = 15
Similarly
[tex]\frac{UT}{QP}[/tex] = [tex]\frac{NM}{SR}[/tex] , that is
[tex]\frac{y}{15}[/tex] = [tex]\frac{18}{30}[/tex] ( cross- multiply )
30y = 270 ( divide both sides by 30 )
y = 9
The similarity ratio is the ratio of corresponding sides , that is
[tex]\frac{NM}{SR}[/tex] = [tex]\frac{18}{30}[/tex] = [tex]\frac{3}{5}[/tex]
SRUT is [tex]\frac{3}{5}[/tex] of NMQP
Quick I need Helpppp!!
Triangle EFT is congruent to triangle JKL. What is KL, in units
Answer:
KL = 6 units.
Step-by-step explanation:
Congruent means the same or similar.
Hope this helps!
how many solutions can a quadratic have
a.0 solution
b.1 solution
c.2 solutions
d.3 solutions
Simplify the expression to a + bi form:
(1 – 8i) + (8 + 6i)
Someone help me please
Step-by-step explanation:
Q6
answer A, as x² is the regular parabolic curve up. and x²-3 just shifts this curve down by 3 units. and that is what we need, as the extreme point of the curve is a bit below the x-axis, and therefore has a negative y value.
Q7
answer C, as this curve is the complete opposite of the curve in Q6.
it is the regular parabolic curve but down. that means -x².
but the extreme point is a bit above the x-axis (and has therefore a positive y value). -x²+3 shifts the parabolic curve up by 3 units.
Q8
answer A again. the functional values are only positive (the whole curve is above the x-axis). so, C and D are therefore wrong.
and between A and B we need to remember, that a negative exponent means 1/...
in case of B 1/(2^x).
and that would mean for large positive x we would get very small values for y.
but we see the opposite. for large x we also get large y.
so, it is 2^x (answer A).
I really need some help
Answer:
y-2=2(x-12)
the alternative is
y+3=2(x-2)
Step-by-step explanation:
1/x^12 times x^2 please help i need to hurry with this
Answer:
x= 3, -4
Step-by-step explanation:
BIG BRAIN
can someone help me do 62
Answer:
a^2 = -2a
a= -2
b=18/a
b=18/ -2
b= -9
If the f(x)=2x-1 and g(x)=x^2-1 find what the g(f(a-1)) is
Answer:
GOOD LUCK ON YOUR TEST YOU WILL DO GOOD
Step-by-step explanation:
A bakery sells ,medium and large pies. The ratio small:medium:large is 3:5:2 .What fraction of the pies are large ?
What is the circumference of this circle?
A.
3π
B.
(
3π
⁄
4
)
C.
4π
D.
(
3π
⁄
2
)
E.
None of the above
Answer:
the circumference of circle is 2 πr