What is an equation of the line perpendicular to the one shown that passes through (-3,-4)?
Answer:
D. [tex] y = \frac{2}{3}x - 2 [/tex]
Step-by-step explanation:
To find the equation of the line that is perpendicular to the one shown on the graph, which passes through (-3, -4) we need to find the slope of the line, m, and the y-intercept, b.
The equation would be in the slope-intercept form given as y = mx + b.
The slope of the line would be the negative reciprocal of the slope of the line shown on the graph.
So, first, find the slope of the line shown in the graph using the points on the line, (0, 3) and (4, -3):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 3}{4 - 0} = \frac{-6}{4} = -\frac{3}{2} [/tex]
Since the slope of the line shown on the graph is -³/2, therefore the slope of the line that is perpendicular to the line shown would be the negative reciprocal of -³/2. Negative reciprocal of -³/2 is ⅔.
Therefore, the slope, m, of the line that is perpendicular to the line shown is ⅔.
Let's find its y-intercept using the point given, (-3, -4) that the line passes through and its slope, m = ⅔.
Substitute m = ⅔, x = -3 and y = -4 in y = mx + b, to find b.
-4 = ⅔(-3) + b
-4 = -2 + b
Add 2 to both side
-4 + 2 = b
-2 = b
b = -2
Substitute m = ⅔, and b = -2 in y = mx + b.
The equation of the line would be:
[tex] y = \frac{2}{3}x +(-2) [/tex]
[tex] y = \frac{2}{3}x - 2 [/tex]
help me out!!
what is the area of the figure to the nearest hundredth
» Avery states that the graph of g is the same as the graph of f with every
point shifted vertically. Cindy states that the graph of g is the same as the
graph of f with every point shifted horizontally.
f(x)=2x+1
g(x)=2x+3
Give an argument to support Avery’s answer
Give an argument to support Cindy’s statement
Answer:
Avery is right, because [tex]g(x) = f(x)+2[/tex].
Cindy is right, because [tex]g(x) = f(x+1)[/tex].
Step-by-step explanation:
Let [tex]f(x)[/tex] and [tex]g(x)[/tex] functions, then [tex]g(x)[/tex] is the vertical translated version of [tex]f(x)[/tex] if and only if:
[tex]g(x) = f(x)+k[/tex], [tex]\forall \,k\in \mathbb{R}[/tex]
[tex]k = g(x)-f(x)[/tex]
If we know that [tex]f(x) = 2\cdot x + 1[/tex] and [tex]g(x) = 2\cdot x + 3[/tex], then:
[tex]k = (2\cdot x + 3) - (2\cdot x +1)[/tex]
[tex]k = 2[/tex]
Then, Avery is right, because [tex]g(x) = f(x)+2[/tex].
Let [tex]f(x)[/tex] and [tex]g(x)[/tex] functions, then [tex]g(x)[/tex] is the horizontal translated version of [tex]f(x)[/tex] if and only if:
[tex]g(x) = f(x+k)[/tex], [tex]\forall \,k\in \mathbb{R}[/tex]
If we know that [tex]f(x) = 2\cdot x + 1[/tex] and [tex]g(x) = 2\cdot x + 3[/tex], then:
[tex]g(x) = 2\cdot x + 3[/tex]
[tex]g(x) = 2\cdot x + 2 + 1[/tex]
[tex]g(x) = 2\cdot (x+1)+1[/tex]
[tex]g(x) = f(x+1)[/tex]
Then, Cindy is right, because [tex]g(x) = f(x+1)[/tex].
Dimensions of a building are 654 feet by 264 feet. If 1 inch represents 64 feet, what are the dimensions of the building on the drawing?
Answer:
10.2 inches by 4.125 inches
Step-by-step explanation:
PLS GIVE BRAINLIEST
what is 9 as a decimal?
Answer:
0.09 is 9 as a decimal
i need some help please
Answer:
83100000+1010=831,000,1010
i think option 2
Step-by-step explanation:
4.62 x 108 tins of beans were sold last year.
These tins of beans cost a total of £300.3 million.
Work out the average cost per tin of beans.
Step-by-step explanation:
If that says 4.62x10⁸, then you would do
300,300,000/4.62x10⁸
where you would get 0.65
so the average cost per tin of beans is 65p
The average cost of each tin of beans = 0.602 million per tin.
Calculation of average costThe total tin of beans sold last year = 4.62 x 108+
= 498.96
The total cost of the beans sold last year = £300.3 million
If 498.96 tins = £300.3 million
1 tin of beans = £X
Make £X the subject of formula,
£X = £300.3 million/498.96
£x = 0.602 million
Therefore, the average cost of each tin of beans = 0.602 million per tin.
Learn more about cost here:
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Population density is the number of people per unit of area. The population density of a certain region is 60 people per square kilometer. If the region covers 23 square kilometers, what is the population of the region?
Answer:
1380 people
Step-by-step explanation:
60x23=1380 Hope it helps!
it takes 8 minutes for peter to make 2 laps around the go kart track. how many laps can sue complete in 24 minutes
This is your perfect answer
Write the following expression in words x+7
Answer:
The sum of 7 and x.
Step-by-step explanation:
PLS GIVE BRAINLIEST
Caroline , Colin and Sarah Share some money , Caroline gets 1/10 of the money. Colin and Sarah Share the rest in the ratio 2:7 what proportion does Colin gets?
Answer:
1/5
Step-by-step explanation:
10/10-1/10=9/10=Colin and Sarah share
2x+7x=9x=Colin and Sarah share
9x=9/10
x=1/10
Colin=2x=2/10=1/5
The ratio shows how many times one value is contained in another value.
The proportion that Caroline gets is 1/10.
The proportion that Colin gets is 2/10.
The proportion that Sarah gets is 7/10.
So,
The proportion that Colin gets is 7/10 of the money.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Let the total amount of money be 1.
Caroline:
Share = 1/10 of the money
Remaining money:
= 1 - 1/10
= 9/10
Colin and Sarah:
Share = 2:7
Colin share = 2/9 x 9/10 = 2/10
Sarah share = 7/9 x 9/10 = 7/10
The proportion that Caroline gets is 1/10.
The proportion that Colin gets is 2/10.
The proportion that Sarah gets is 7/10.
Thus,
The proportion that Colin gets is 7/10 of the money.
Learn more about ratios here:
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72.50$ markup 30% plz
Answer:
$94.25
Step-by-step explanation:
You would also have a $21.75 profit
Answer:
$94.25
Step-by-step explanation:
72.5*0.3=21.75
21.75+72.5=94.25
the diameter of a cart wheel is 26 inches. how far will it go in one rotation?
Answer:
the correct answer is 81.71 inch
Step-by-step explanation:
please mark me as the brainliest answer
Answer:
81.71 inch
Step-by-step explanation:
the diameter of the wheel is 26 inch ,so in one rotation there wheel can travel 81.71 inches.
please help me with this! this was due yesterday and i need to get it done but im stuck on this question
Answer:
60* and 30*
Step-by-step explanation:
If two angles are complementary then they will add up to be 90, or inversely, if two angles add up to be 90, then they are complementary. If you know one acute angle, you can calculate its complementary angle by subtracting 90 and the angle.
Answer:
m<qrt and m<trv because complementary angles add up to 90 degrees :)
a) Write 600 as the product of prime factors.
Give your answer in index form.
Answer:
The prime factorization of 600 is 2, 2, 2, 3, 5, and 5
Answer:
600 = 2 × 2 × 2 × 2 × 3 × 3 × 5
Step-by-step explanation:
2 |600
2 |300
2 |150
2 |75
3 |15
3 |5
5 |1
is it grabbed or grab in this sentence
Answer:
grabbed
Step-by-step explanation:
just lose the is
please answer this math question
Find the number,if 1/5 of it is 15
Answer:
The number is 75
Step-by-step explanation:
Let x be the unknown number
of means multiply and is means =
1/5 x = 15
Multiply each side by 5
5 * 1/5 x = 5*15
x = 75
Answer:
75
Step-by-step explanation:
Johanna rode
8 miles in
40 minutes on her mountain bike.
Answer:
Johnson rode her bike 5 miles
Step-by-step explanation:
Angela asked each student in her class about the height of the fence around their house. She made the histogram below to
represent the heights of each student's fence.
Height of Fence
16
14
12
10
Students
8
6
4
2
8
10
12
6
Feet
Which statement is true?
OA. The data distribution is both symmetric and skewed.
OB. The data distribution is skewed to the right.
OC. The data distribution is skewed to the left.
OD. The data distribution is symmetric.
Answer:
Angela asked each student in her class about the height of the fence around their house. She made the histogram below to
represent the heights of each student's fence.
Height of Fence
16
14
12
10
Students
8
6
4
2
8
10
12
6
Feet
Which statement is true?
OA. The data distribution is both symmetric
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Please help! Due tonight!
Answer:
D) x= square root of 89
Step-by-step explanation:
To find the missing side, use the equation a^2+b^2=c^2. You would plug 5 in for a to get 25 and 8 in for b to get 64. You would add those to get that 89 is equal to c^2 so you would get c by itself and and find that the answer is D. :)
The measures of the angles of a triangle solve for X
Answer:
x = 7
Step-by-step explanation:
Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).
Combine like terms of the angle measures.
6x + 9x = 15x
-3 + (-12) = -15
15x - 15
Because the sum of the measures of the two angles have to equal 90,
15x - 15 = 90
Add 15 from both sides.
15x = 105
Divide both sides by 15.
x = 7
To check, substitute 7 in both expressions.
6(7) - 3 = 39
9(7) - 12 = 51
39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.
I hope this helped :)
11. Choose the correct solution and graph for the inequality.
Y+1/5>1/3
Answer:
[tex]y > \frac{2}{15} [/tex]
2. The amount of your bill is $3.10. You give the cashier $5.00. Complete
the table to show how the cashier might return the change.
+
Coins Given to
Convenient Amount
Customer
Reached
The bill is $3.10.
a1 nickel
dimes
$5.00
Pls help
Step-by-step explanation:
I add the $3.10 with the $5.00 add I get $8.1 that's what I get for my answer I hope you it helps you out
Explain how to divide decimals by powers of 10. Use the problem 34.65 ÷ 103
as an example to help you explain.
So when you divide by powers of ten (ten times itself some number of times, like ten, one hundred, one thousand, etc.), the decimal moves to the left. For each power of ten, you move one place to the left. So if you divided a number by one hundred (10^2 or 10*10), you would move two places to the left.
The rule for the number pattern is to add 56
411,___,___,___
Answer: 766, 1,121, 1,476
Step-by-step explanation:
there you go hope that helped
n (blank exponent) = 1/64 when n = 1/4
Answer:
The blank exponent is 3
Step-by-step explanation:
It is given that n^x=1/64 where n=1/4
1/4^x=1/64
1/4*1/4*1/4=1/64, so x=3 works as a solution. You could use logarithms, but it makes things more difficult, especially in this case.
Luis
Ana
Javier
Precio ($)
100
140
80
Sarape
10
90
50
Aretes
4
Descuento ($)
Precio rebajado ($)
Precio ($)
Descuento ($)
Precio rebajado ($)
Precio ($)
Descuento ($)
6
Blusa
00
Precio rebajado ($)
45
63
Answer:
Espero y esto te ayude :) si me falto algo lo siento.
Step-by-step explanation:
Si se oferta un producto al 10% de descuento, esto significa que el precio final del producto será 90% del precio original. Para hallar estos datos, debemos usar una regla de tres, de la siguiente forma:
100% 90%
-------------------- → ---------------------------
Precio Original Precio con Descuento?
SARAPES
- Ana: descuento (14), precio rebajado 126
Precio rebajado = 140.90 / 100 = 126
Descuento: 140 - 126 = 14
- Javier: descuento (8), precio rebajado 72
Precio rebajado = 80.90 / 100 = 72
Descuento: 80 - 72 = 8
ARETES
- Luis: descuento (5), precio rebajado 72
Precio rebajado = 50.90 / 100 = 45
Descuento: 50 - 45 = 5
- Ana: Precio original (60) , descuento (6), precio rebajado 54
Precio original: X.0,10 = 6
X = 60
Precio rebajado: 60 - 6 = 54
- Javier: Precio original (40) , descuento (4), precio rebajado 36
Precio original: X.0,10 = 4
X = 40
Precio rebajado: 40 - 4 = 36
Which equation has the steepest parabola?
A. (x+2)2=−0.5(y+3)
B. (x−1)2=5(y+3)
C. x2=8(y−1)
D. (x+2)2=−10y
Given:
The equations of parabolas in the options.
To find:
The steepest parabola.
Solution:
We know that, if a parabola is defined as
[tex](y-k)=n(x-h)^2[/tex]
Then, the greater absolute value of n, the steeper the parabola.
It can be written as
[tex]\dfrac{1}{n}(y-k)=(x-h)^2[/tex]
[tex]p(y-k)=(x-h)^2[/tex]
where [tex]p=\dfrac{1}{n}[/tex], the smaller absolute value of p, the steeper the parabola.
Now, find the value of |p| for eac equation
For option A, [tex]|-0.5|=0.5[/tex]
For option B, [tex]|5|=5[/tex]
For option C, [tex]|8|=8[/tex]
For option D, [tex]|-10|=10[/tex]
Since, the equation is option A has smallest value of |p|, therefore, the equation [tex](x+2)^2=-0.5(y+3)[/tex] represents the steepest parabola.
Hence, the correct option is A.
factorise
x² - 7x +10