Answers
Hope this helps!
Answer: C, -1.9
Step-by-step explanation:
Its obviously a negative, so it can't be D.
And it's a greater negative then A, so its not B.
And then A is just toooo far away.
So the answer is C
Hope this helps ;)
Related Questions
x + 4y − z = −14
5x + 6y + 3z = 4
−2x + 7y + 2z = −17
Answers
A = -120
AX = -240
X = 2
Step-by-step explanation:
∵ x + 4y - z = -14
∵ 5x + 6y + 3z = 4
∵ -2x + 7y + 2z = -17
\left[\begin{array}{ccc}1&4&-1\\5&6&3\\-2&7&2\end{array}\right]=\left[\begin{array}{ccc}-14\\4\\-17\end{array}\right]
∴ A = 1(6×2 - 3×7) + (-4)(2×5 - 3×-2) + (-1)(5×7 - 6×-2)
∴ A = 1(12 - 21) + (-4)(10 - -6) + (-1)(35 - -12)
∴ A = -9 + (-4)(16) + (-1)(47) = -9 - 64 - 47 = -120
To find X replace the column of X by the column of the answer
\left[\begin{array}{ccc}-14&4&-1\\4&6&3\\-17&7&2\end{array}\right]
∴ AX = -14(6×2 - 3×7) + (-4)(4×2 - 3×-17) + (-1)(4×7 - 6×-17)
∴ AX = -14(12 - 21) + (-4)(8 - -51) + (-1)(28 - -102)
∴ AX = 126 + (-4)(59) + (-1)(130) = 126 - 236 - 130 = -240
∴ X = AX/A = -240/-120 = 2
Answer:
A -120
Ax -240
Ay 360
Az -480
x 2
y -3
z 4
Step-by-step explanation:
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) =x2 to the number of X-
intercepts in the graph of g(x) = x2 +2. Be sure to include the transformations that occurred between the parent functio
f(x) and its image g(x).
Answers
Answer:
The function f(x) intercepts the x-axis at (0,0), thus it touches the x-axis once.The graph of the function g(x) does not intercept the x-axis at all.
Step-by-step explanation:
In this question you first form the table for values of x with corresponding values of f(x) that you will use to graph the function f(x)=x².Then do the same for the function g(x)=x²+2.Take a point from the parent function f(x) and compare it with its image in the function g(x) to identify the transformation that occurred.Graph the two equations to visually see the x-intercepts in both equations.
In the parent function f(x)=x² form a table as shown below;
x f(x)=x² coordinate to plot
-3 -3²=9 (-3,9)
-2 -2²=4 (-2,4)
-1 -1²=1 (-1,1)
0 0²=0 (0,0)
1 1²=1 (1,1)
2 2²=4 (2,4)
3 3²=9 (3,9)
Use the coordinates to plot the graph of f(x)=x² on a graph tool and see the number of x-intercept values
In the function g(x)=x²+2 also form your table for values of g(x) with corresponding values of x
x g(x)=x²+2 coordinate to plot
-3 -3²+2=9+2=11 (-3,11)
-2 -2²+2=4+2=6 (-2,6)
-1 -1²+2=1+2=3 (-1,3)
0 0²+2=2 (0,2)
1 1²+2=1+2=3 (1,3)
2 2²+2=4+2=6 (2,6)
3 3²+2=9+2=11 (3,11)
Use the coordinates to plot the graph of g(x)=x²+2 on a graph tool to determine the number of x intercept values
You can determine the transformation that occurred too, how?
Take a point on the parent function f(x) and compare it with its image in the function g(x)
Let take point (-3,9) and compare it to (-3,11).You notice x coordinate did not change but the y coordinate shifted 2 units upwards along the y-axis.To determine this dilation you subtract the coordinates of object point from that of image point.
[tex]=(\frac{0-0}{11-9}) =(\frac{0}{2} )=(0,2)[/tex]
The dilation was (0,2)
Solution
From the graphs, the function f(x), intercepts the x-axis at (0,0), thus it touches the x-axis once.The graph of the function g(x) does not intercept the x-axis at all.
Just answer please y= ?
Answers
Answer:
y = 7√2Step-by-step explanation:
It's the right isosceles triangle.
Right triangle with angles 45°, 45°, 90°. The sides are in ratio 1 : 1 : √2
(look at the picture).
Therefore
x = 7
y = 7√2
Find the area of the polygon.
Look at the picture please
A : 24.6 square units
B : 25.8 square units
C: 26.3 square units
D: 27.5 square units
Answers
Answer:
option D: 27.5 square units
Step-by-step explanation:
Divide the polygon in 6 figures
see the attached figure
Area of figure 1 (right triangle)
A1=(1/2)(3)(3)=4.5 units²
Area of figure 2 (rectangle)
A2=(1)(3)=3 units²
Area of figure 3 (rectangle)
A3=(1)(3)=3 units²
Area of figure 4 (right triangle)
A4=(1/2)(3)(3)=4.5 units²
Area of figure 5 (right triangle)
A5=(1/2)(4)(5)=10 units²
Area of figure 6 (right triangle)
A6=(1/2)(1)(5)=2.5 units²
The total area is equal to
At=A1+A2+A3+A4+A5+A6
At=4.5+3+3+4.5+10+2.5=27.5 units²
Answer:
Option D.
Step-by-step explanation:
As we know area of a triangle = [tex]\frac{1}{2}\times Base\times Height[/tex]
1. Area of ΔJKL = [tex]\frac{1}{2}\times(\text{Distance of L from base JK})\times (JK)[/tex]
= [tex]\frac{1}{2}\times (3)\times (5)[/tex]
=7.5 square units
2. Area of ΔIJL = [tex]\frac{1}{2}\times(\text{Distance of J from base IL})\times (IL)[/tex]
= [tex]\frac{1}{2}\times (3)\times (5)[/tex]
= 7.5 square units
3. Area of triangle IKL = [tex]\frac{1}{2}\times(\text{Distance of H from base IL})\times (IL)[/tex]
= [tex]\frac{1}{2}\times (5)\times (5)[/tex]
= [tex]\frac{25}{2}=12.5[/tex] square units
Now area of ΔJKL + ΔIJL + ΔIKL = 7.5 + 7.5 + 12.5
= 27.5 square units
Option D. is the answer.
If the unit selling price is $2.50 and the unit cost is
$1.00, what action is needed to maintain the gross
margin percentage when unit cost increases $0.25?
Lower the selling price.
Increase the selling price more than $0.25.
Maintain the same selling price.
Increase the selling price $0.25.
Answers
Answer:
D.
Increase by more than 0.25 dollars.
Step-by-step explanation:
What is the gross margin %?
Margin % = (2.50/1.00) * 100 = 250%
If the cost goes up 0.25 what will the selling price have to do to maintain a markup of 250%?
250% =(x/1.25) * 100%
Divide by 100%
250 / 100 = x / 1.25
2.5 = x / 1.25
Multiply both sides by 1.25
2.5 * 1.25 = x
3.125 = x
But that is really not the question. The question is, how much higher is that now than it used to be?
3.125 - 2.50 = 0.625 cents.
So you would have to increase the selling price by more than 0.25
Classify the triangle.
obtuse
equiangular
right
acute
Answers
Answer:
Acute
Step-by-step explanation:
Note the definitions:
Obtuse: At least one of the angles are greater than 90°
Equilateral: All angles are congruent & equal to 60°
Acute: All angles are less than 90°
Right: At least one angle is equal to 90°
In this case, the triangle is a D) acute, for it fits the requirement for being an acute... all angles are less than 90°.
~
Hello There!
The triangle shown in the image would be an acute triangle
An acute triangle is a triangle where all three sides are less than 90°
In the image, none of the angles shown are greater than 90° so this
is an example of an acute triangle
You have 4 3/7 grams of a substance and want to divide it into vials of 6 1/4 grams each. Estimate how many vials you can fill.
Answers
Answer:
[tex]\frac{124}{175}[/tex] vials
Step-by-step explanation:
You have [tex]4\frac{3}{7}[/tex] = [tex]\frac{31}{7}[/tex] grams of a substance.
You want to divide it into vials of [tex]6\frac{1}{4}[/tex] = [tex]\frac{25}{4}[/tex] grams each.
Number of vials you can fill is: [tex]\frac{31}{7}[/tex] ÷ [tex]\frac{25}{4}[/tex] = [tex]\frac{31}{7}[/tex] × [tex]\frac{4}{25}[/tex] = [tex]\frac{124}{175}[/tex] vials
Use the given property to complete the statement.
Addition Property of Equality
If x = 5, then x + 3 =
Answers
The Addition Property of Equality allows us to add the same amount to both sides of an equation, so if x = 5, by adding 3 to both sides, x + 3 would be 8.
Explanation:The Addition Property of Equality is a principle of mathematics that states: if you add the same amount to both sides of an equation, the equation remains balanced. So, if we take the equation x = 5, according to the Addition Property of Equality, we can add 3 to both sides of the equation. This will give us: x + 3 = 5 + 3. Therefore, x + 3 = 8.
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Teo spins the spinner 120 times. He expects to land on one particular color 30 times. What color is it?
Answers
Answer:
Red
Step-by-step explanation:
P = 30/120 = 1/4
The spinner is divided into 8 equal sections. 1/4 of 8 is 2. So we're looking for a color that appears on exactly 2 of the sections.
The color is red.
The Starbuck cinnamon chip scone has 480 calories-more calories than a 440 calorie McDonald's double cheeseburger. a. One cinnamon chip scone provides what percent of the daily recommended calorie intake of 2000 calories for an adult woman?
Answers
Answer:
46%
Step-by-step explanation:
440 + 480 = 920
2000 / 920 =46%
Answer:
One cinnamon chip scone provides 46% of the daily recommended calorie intake of 2000 calories for an adult woman.
Step-by-step explanation:
Consider the provided information.
The Starbucks cinnamon chip scone has 480 calories-more calories than a 440 calorie McDonald's double cheeseburger.
First calculate the calories in Starbucks cinnamon chip scone .
Starbucks cinnamon has 480 calories-more than a 440 calorie cheeseburger.
The calories in Starbucks cinnamon = 480+440 = 920
Now we need to find the One cinnamon chip scone provides what percent of the daily recommended calorie intake of 2000 calories for an adult woman.
Find what percentage of 2000 is 920 as shown.
[tex]\frac{920}{2000}\times 100[/tex]
[tex]\frac{920}{20}[/tex]
[tex]46\%[/tex]
Hence, One cinnamon chip scone provides 46% of the daily recommended calorie intake of 2000 calories for an adult woman.
Donna Dieter is trying to keep her lunches under 600 calories. Today, she had a peanut butter sandwich, one cup of vegetable soup, an apple, and a glass of milk. Did she stay under her goal?
Answers
Answer:
yes! total calories= 535
Step-by-step explanation:
answer:
Donna Dieter is trying to keep her lunches under 600 calories. Today she had a peanut butter sandwich, one cup of vegetable soup, an apple, and a glass of milk. Did she stay under her goal?
YES
What is the value of r in the equation? -1.5(4-r)=-12
Answers
Answer:
12
Step-by-step explanation:
We are given the following equation and we are to solve for the variable r and find its value:
[tex] - 1 . 5 ( 4 - r ) = - 1 2 [/tex]
Expanding the brackets to get:
[tex]6-1.5r=-12[/tex]
[tex]-1.5r=-12-6[/tex]
[tex] - 1 . 5 r = - 1 8 [/tex]
[tex] r = \frac { - 1 8 } { - 1 . 5 } [/tex]
r = 12
Answer:
-4
Step-by-step explanation:
-1.5 (4 - r) = -12
(4 - r) = [tex]\frac{-12}{-1.5}[/tex]
-r = [tex]\frac{12}{1.5}[/tex] - 4
r = 4 - [tex]\frac{12}{1.5}[/tex] = -4
Solve (x + 1)2 – 4(x + 1) + 2 = 0 using substitution.
u =
x
4(x +1)
x +1
(x + 1)2
Select the solution(s) of the original equation.
x = 1 + sqrt 2
x = 2 + sqrt 2
x = 3 + sqrt 2
x = 1 - sqrt 2
x = 2 - sqrt 2
x = 3 - sqrt 2
Answers
For this case we have to:
Let[tex]u = x + 1[/tex]
So:
[tex]u ^ 2-4u + 2 = 0[/tex]
We have the solution will be given by:
[tex]u = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}[/tex]
Where:
[tex]a = 1\\b = -4\\c = 2[/tex]
Substituting:
[tex]u = \frac {- (- 4) \pm \sqrt {(- 4) ^ 2-4 (1) (2)}} {2 (1)}\\u = \frac {4 \pm \sqrt {16-8}} {2}\\u = \frac {4 \pm \sqrt {8}} {2}\\u = \frac {4 \pm \sqrt {2 ^ 2 * 2}} {2}\\u = \frac {4 \pm2 \sqrt {2}} {2}[/tex]
The solutions are:
[tex]u_ {1} = \frac {4 + 2 \sqrt {2}} {2} = 2 + \sqrt {2}\\u_ {2} = \frac {4-2 \sqrt {2}} {2} = 2- \sqrt {2}[/tex]
Returning the change:
[tex]2+ \sqrt {2} = x_ {1} +1\\x_ {1} = 1 + \sqrt {2}\\2- \sqrt {2} = x_ {2} +1\\x_ {2} = 1- \sqrt {2}[/tex]
Answer:
[tex]x_ {1} = 1 + \sqrt {2}\\x_ {2} = 1- \sqrt {2}[/tex]
Answer: 1st - x = 1 + √2 & 4th- x= 1 - √2
Step-by-step explanation:
Which of the following is the solution set of the given equation? 14 + 8m = 14 - 3m - 5m ∅ {0} {all reals}
Answers
Answer:
{0}
Step-by-step explanation:
14 + 8m = 14 - 3m - 5m
Combine like terms
14 + 8m = 14 - 8m
Add 8m to each side
14 +8m +8m = 14 -8m +8m
14 +16m = 14
Subtract 14 from each side
14-14 +16m = 14-14
16m = 0
Divide by 16
16m/16 = 0/16
m = 0
Answer:
{0}
Step-by-step explanation:
The given equation is
[tex]14+8m=14-3m-5m[/tex]
We need to find the solution set of given equation.
Combine like terms on the right side of the given equation.
[tex]14+8m=14+(-3m-5m)[/tex]
[tex]14+8m=14+(-8m)[/tex]
[tex]14+8m=14-8m[/tex]
Add 8m on both sides.
[tex]14+8m+8m=14-8m+8m[/tex]
[tex]14+16m=14[/tex]
Subtract 14 from both sides.
[tex]14+16m-14=14-14[/tex]
[tex]16m=0[/tex]
Divide both sides by 16.
[tex]m=\frac{0}{16}[/tex]
[tex]m=0[/tex]
Therefore, the solution set is {0}.
A solid right pyramid has a square base. The length of the base edge is4 cm and the height of the pyramid is 3 cm period what is the volume of the pyramid?
Answers
Answer:
The volume of this pyramid is 16 cm³.
Step-by-step explanation:
The volume [tex]V[/tex] of a solid pyramid can be given as:
[tex]\displaystyle V = \frac{1}{3} \cdot b \cdot h[/tex],
where
[tex]b[/tex] is the area of the base of the pyramid, and[tex]h[/tex] is the height of the pyramid.Here's how to solve this problem with calculus without using the previous formula.
Imaging cutting the square-base pyramid in half, horizontally. Each horizontal cross-section will be a square. The lengths of these squares' sides range from 0 cm to 3 cm. This length will be also be proportional to the vertical distance from the vertice of the pyramid.
Refer to the sketch attached. Let the vertical distance from the vertice be [tex]x[/tex] cm.
At the vertice of this pyramid, [tex]x = 0[/tex] and the length of a side of the square is also [tex]0[/tex].At the base of this pyramid, [tex]x = 3[/tex] and the length of a side of the square is [tex]4[/tex] cm.As a result, the length of a side of the square will be
[tex]\displaystyle \frac{x}{3}\times 4 = \frac{4}{3}x[/tex].
The area of the square will be
[tex]\displaystyle \left(\frac{4}{3}x\right)^{2} = \frac{16}{9}x^{2}[/tex].
Integrate the area of the horizontal cross-section with respect to [tex]x[/tex]
from the top of the pyramid, where [tex]x = 0[/tex],to the base, where [tex]x = 3[/tex].[tex]\displaystyle \begin{aligned}\int_{0}^{3}{\frac{16}{9}x^{2}\cdot dx} &= \frac{16}{9}\int_{0}^{3}{x^{2}\cdot dx}\\ &= \frac{16}{9}\cdot \left(\frac{1}{3}\int_{0}^{3}{3x^{2}\cdot dx}\right) & \text{Set up the integrand for power rule}\\ &= \left.\frac{16}{9}\times \frac{1}{3}\cdot x^{3}\right|^{3}_{0}\\ &= \frac{16}{27}\times 3^{3} \\ &= 16\end{aligned}[/tex].
In other words, the volume of this pyramid is 16 cubic centimeters.
Answer:
16cm3
Step-by-step explanation:
Help pleazzzzzzzzzzzz
Answers
Find the ratio of the known sides 10 and 12
12/10 = 1.2
The larger kite is 1.2 times the size of the smaller kite.
Multiply 7 by 1.2:
x - 7 * 1.2
x = 8.4
What is the measure of the angle formed by Main Street and Park Street?
35°
45°
90°
55°
Answers
Answer:
90-35=55
Hope this helps! <3
A triangle has an area of 369.25 square inches. The height of the triangle is 42.2 inches. What is the length of the base of the triangle?
Answers
Step-by-step explanation:
[tex]1 \div 2 \times base \times height = area[/tex]
[tex]1 \div 2 \times x \times 42.2 = \ 369.25 \[/tex]
[tex]x = 369.25 \div 21.1[/tex]
[tex] = 17.5[/tex]
Answer:
Base = 17.5 inches.
Step-by-step explanation:
Given : A triangle has an area of 369.25 square inches. The height of the triangle is 42.2 inches.
To find : What is the length of the base of the triangle.
Solution : We have given
Area of triangle = 369.25 square inches.
Height = 42.2 inches.
Area of triangle = [tex]\frac{1}{2}*base*height[/tex].
Plugging the values.
369.25 = [tex]\frac{1}{2}*base*42.2[/tex].
On multiplying both sides by 2
369.25 * 2 = base * 42.2
738.5 = base * 42.2
On dividing both sides by 42.2
Base = 17.5 inches.
Therefore, Base = 17.5 inches.
I want to say it’s 18in.. but I just wanna make sure
Answers
Answer:
you are correct
Step-by-step explanation:
area = 6 × 3 = 18 in²
Answer:
Yes!You got it correct!
Step-by-step explanation:
Good job!
What is the constant of proportionality in the equation y = 2 x?
Answers
Answer:
2
Step-by-step explanation:
2 is the constant of proportionality in the equation y = 2x . When two variables are directly proportional to each others . Where k is called the constant of proportionality . Thus in the question x and y are proportional variables
What is variability?
Answers
Answer:
Variability is when there is no consistency.
Step-by-step explanation:
Variation in data can be due to various factors. Variability can also be called the spread of data.
Standard deviation is a measure of variability as standard deviation measures the spread of data.
!!
If (-4,32) and (7,-45) are two anchor points on the trend line, then find the equation of the line.
Answers
-45-32/7- (-4)=. -77/11 divide by 11
The slope is -7
Using the slope to find Y-Intercept:
You can use any points but since you’re given two use the easiest one to solve such as (-4,32)
Y=-7x
32=-7(-4)
32=28 subtract 28 from both sides
-28=4
Equation is y=-7x+4
the equation of the trend line is y = -7x + 4.
To find the equation of the trend line using two points, we need to determine the slope (m) and the y-intercept (b) of the line. The slope is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the given points.
For the points (-4, 32) and (7, -45), the slope would be:
m = (-45 - 32) / (7 - (-4))
m = (-77) / (11)
m = -7
Now, we use the slope and one point to find the y-intercept using the point-slope form of the equation of a line, y - y1 = m(x - x1), and then we convert it to the slope-intercept form, y = mx + b.
Using point (-4, 32), the equation becomes:
32 = -7(-4) + b
32 = 28 + b
b = 32 - 28
b = 4
So, the equation of the trend line is y = -7x + 4.
What is the value of (3/10)^3
Answers
Answer:
27/1000
Step-by-step explanation:
To solve this, you would distribute the power 3 to the numerator and denomerator. 3^3 is 27 and 10^3 is 1000. So you get 27/1000
Answer:
the value is 27/1000 in other words the answer to your question is B
The graph of f(x) was vertically translated down by a value of k to get the function g(x) = 5x + k. What is the value of k? A -7 B -6 C 5 D 7
Answers
Answer:
[tex]{\boxed{\text{A. }\math{k = -7}}[/tex]
Step-by-step explanation:
The general rule for vertical translation of a function ƒ(x) ⟶ ƒ(x) + k .
A positive value of k means that the graph is shifted up by k units.
The graph of ƒ(x) was shifted from (0, 1) to (0, -6).
[tex]\text{The graph was shifted down by seven units, so }{\boxed{\mathbf{k = -7}}[/tex]
The value of k is -7.
What is vertical translation of a function?Vertical translation refers to the up or down movement of the graph of a function.
Here, the shape of the function remains the same.
It is also known as the movement/shifting of the graph along the y-axis.
In vertical translation, each point on the graph moves k units vertically and the graph is said to translated k units vertically.
The general rule for vertical translation of a function,
f(x)= g(x) + k .
here, the graph is shifted up by k units.
As, seen from the graph of g(x) is shifted from point (0, 1) to (0, -6).
Hence, the graph is shifted by -7 units.
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PLEASE HELP PLEASE
How many nickels and dimes are in $2.40 if there are two times more nickels than dimes?
A) 12 nickels and 6 dimes
B) 6 nickels and 12 dimes
C) 24 nickels and 12 dimes
D) 12 nickels and 24 dimes
Answers
The problem is solved by calculating that there are 24 nickels and 12 dimes to make a total of $2.40, given that there are twice as many nickels as dimes.
Explanation:The subject of this question is Mathematics, specifically dealing with simple money-based equations. In the problem you're presented with, you've been asked to figure out the number of nickels and dimes that make up $2.40, given that there are twice as many nickels as there are dimes.
First, we can start by understanding the value of each coin. A nickel is worth $0.05, and a dime is worth $0.10. With the condition expressed in the problem, let's express the number of dimes as x, thus the number of nickels would then be 2x.
Because of their respective values, the total value of the dimes would be 0.10x and the total value of the nickels would be 0.05 × 2x or 0.10x. Adding both together, we'd have 0.10x + 0.10x = 0.20x, which we know equals $2.40 from the problem. Solving the equation 0.20x = 2.40 gives us x = 12. That's your number of dimes. The nickels would be 2 × 12 = 24. So, the answer to your problem would be 24 nickels and 12 dimes.
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if g(x) = x^2 - 4 find g (5) A. 6 B. 14 C. 21 D. 29
Answers
5^2-4=21
Explanation
Answer:
C. 21
Step-by-step explanation:
g(x) = x² - 4
Give: x = 5
Plug in 5 for x in the equation:
g(5) = 5² - 4
Simplify. Remember to follow PEMDAS. First, solve the exponent, then subtract:
g(5) = (5 * 5) - 4
g(5) = 25 - 4
g(5) = 21
C. 21 is your answer.
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Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.?
Answers
Answer:
It's an acute angled triangle.
Step-by-step explanation:
15^2 = 225
12^2 = 144
10^2 = 100
Adding:
10^2 + 12^2 = 244.
So as 15^2 < 12^2 + 10^2 this is an acute angled triangle.
The triangle with given sides of 10 inch , 12 inch and 15 inch is an acute angled triangle.
The length of three sides of a triangle are given
Length of first side = 10 inch
Length of second side = 12 inch
Length of third side = 15 inch
here we can observe that the third side is the longest side for the given triangle
Let us check whether the given triangle satisfies the Pythagorean theorem
For a right angled Pythagorean theorem is given by equation (1)
[tex]\rm H^2 = P^2 + B^2 .........(1)\\where \\H = Hypotenuse\\P = Perpendicular\\B = Base\\[/tex]
From the given data we can conclude that
[tex]\rm 15 ^2 = 225 \\10^2 = 100\\12^2 = 144 \\15^2 \neq 10^2 +12^2 \\\\Since\; 225\neq 244[/tex]
The given triangle does not satisfies the Pythagorean theorem and hence it is not a right angled triangle
also [tex]225< 244[/tex]
So we can conclude that it is an acute angled triangle.
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A line passes through the point (-6,2) and has a slope of -5/2 ,Write an equation in pint slope form for this line
Answers
Answer:
see explanation
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = - [tex]\frac{5}{2}[/tex] and (a, b) = (- 6, 2), so
y - 2 = - [tex]\frac{5}{2}[/tex] (x - (- 6)), that is
y - 2 = - [tex]\frac{5}{2}[/tex] (x + 6) ← in point- slope form
An equation in point slope form for this line y - 2 = -5/2 (x + 6) .
What is slope?The point slope form of a straight line in geometry is used to represent the equation of a straight line using its slope 'm' and a point(x, y) that lies on the given line.
equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Now, m = - 5/2
and (a, b) = (- 6, 2)
So, the equation of line be
y-2= -5/2 (x+6)
Hence,
y - 2 = -5/2 (x + 6) in point- slope form.
Learn more about point- slope form here:
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A hotel is in the shape of a square pyramid. Each side of the base is 183 meters long and the height is 110 meters. What is the hotel's volume?
Answers
Check the picture below.
[tex]\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\ \cline{1-1} B=\stackrel{183\times 183}{33489}\\ h=110 \end{cases}\implies V=\cfrac{1}{3}(33489)(110)\implies V=1227930[/tex]
Answer:
V =1127930 m^3
Step-by-step explanation:
The volume is
V = 1/3 B h
where B is the area of the base
B = area of the square
B = 183*183 since it is a square
B = 33489
V = 1/3 *(33489) * 110
V =1127930 m^3
Which point could be on the line that is parallel to line KL and passes through point M?
(-10,0)
(-6,2)
(0,-6)
(8,-10)
Answers
Answer:
(8,-10)
Step-by-step explanation:
step 1
Find the slope of line KL
K(-6,8),L(6,0)
m=(0-8)/(6+6)
m=-8/12=-2/3
step 2
Find the slope of the line that is parallel to KL
we know that
If two lines are parallel , then their slopes are the same
therefore
The slope of the parallel line to KL is m=-2/3
step 3
Find the equation of the line parallel to KL that pass through the point M
M(-4,-2)
The equation of the line into point slope form is equal to
y-y1=m(x-x1)
substitute
y+2=-(2/3)(x+4)
step 4
Verify the points
we know that
If the point lie on the line, then the point must satisfy the equation of the line
case a) (-10,0)
substitute the value of x and the value of y in the equation and then compare the result
-10+2=-(2/3)(0+4)
-8=-8/3 -----> is not true
therefore
The point is not on the line
case b) (-6,2)
substitute the value of x and the value of y in the equation and then compare the result
2+2=-(2/3)(-6+4)
4=4/3 -----> is not true
therefore
The point is not on the line
case c) (0,-6)
substitute the value of x and the value of y in the equation and then compare the result
-6+2=-(2/3)(0+4)
-4=-8/3 -----> is not true
therefore
The point is not on the line
case d) (8,-10)
substitute the value of x and the value of y in the equation and then compare the result
-10+2=-(2/3)(8+4)
-8=-8 -----> is true
therefore
The point is on the line