Answer:
The equation in slope-intercept form through the point (4, -1) and is perpendicular to the line y = x + 2 is: y=-x+3
Step-by-step explanation:
Given equation of line is:
[tex]y = x+2[/tex]
Comparing it with the general form of equation of line in slope-intercept form
[tex]y = mx+b[/tex]
The slope of given line is 1 as the co-efficient of x in the equation is 1.
When two lines are perpendicular, the product of their slopes is -1
Let m1 be the slope of new line
Then
[tex]m.m_1 = -1\\1.m_1 = -1\\m_1 = -1[/tex]
The equation of new line perpendicular to given line will be:
[tex]y = m_1x+b[/tex]
Putting the value of m1
[tex]y = -x+b[/tex]
To find the value of b, the given point will be put into the equation
So,
[tex]-1 = -(4)+b\\-1 = -4+b\\-1+4 = b\\b = 3[/tex]
The final equation of line is: y = -x+3
Hence,
The equation in slope-intercept form through the point (4, -1) and is perpendicular to the line y = x + 2 is:
[tex]y = -x+3[/tex]
Graph:(Attached)
The graph is made using the online graphing tool "Desmos". The red line in the graph represents the line y = x+2 and the blue line represents the line (y=-x+3) perpendicular to given line
A kid traveled a distance of 9 km by bike, and then walked a distance of km.
a.Find the total distance traveled in terms of
b. If the total distance was less than 30 km, form an inequality in , and
then solve it!
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question;
A kid traveled a distance of 9 km by bike, and then walked a distance of x km.
a.Find the total distance traveled in terms of x
b. If the total distance was less than 30 km, form an inequality in x, and
then solve it!
a) Total distance = distance travelled by bike + distance walked
Total distance = 9km + xkm
Total distance = (9+x)km
b) If the total distance was less than 30 km, the inequality representing this is;
9+x < 30
Subtract 9 from both sides;
9+x-9 < 30-9
x < 21
hence the solution to the inequality is x< 21
Raul is solving -6x = 72. Find his mistake and correct it.
Answer:
x=12
Step-by-step explanation:
Write the ratios as fractions IN THEIR SIMPLEST form
44 boys to 88 girls
Answer:
2:4
Step-by-step explanation:
Solve: 4x^3+7x^2-5x-6=0
Answer:
(x-1)(x+2)(4x + 3) = 0 ]
Step-by-step explanation:
Laron is thinking about majoring in business in college because with a bachelor's degree the starting salaries are about $45,000 per year. If a master's degree will allow him to start out at about 15 percent higher, how much can he expect his starting pay to be with a master's degree?
Answer:
$6750 per year
Step-by-step explanation:
15% / 100 = 0,15
0,15 x $45,000 = $6750 he will get per year
Using the given information, match the transformed equation from a parent function of [tex]y=x^2[/tex] or [tex]y=x^3[/tex]
Question and choices below:
Step-by-step explanation:
The general form for a quadratic or cubic equation is:
y = a (x − h)ⁿ + k
If |a| is between 0 and 1, it's a vertical shrink. If |a| is greater than 1, it's a vertical stretch. If a is negative, there's a reflection over the x-axis.
h is the horizontal translation. If h is positive, there's a translation to the right. If h is negative, there's a translation to the left. (Notice the expression in the parentheses is x − h, not x + h, so if it helps, rewrite the equation.)
k is the vertical translation. If k is positive, there's a translation up. If k is negative, there's a translation down.
f(x) = (x + 1)³ − 7
f(x) = 1 (x − -1)³ + -7
a = 1, h = -1, k = -7
This is y = x³ translated 1 unit to the left and 7 units down.
g(x) = -½ (x − 2)³
g(x) = -½ (x − 2)³ + 0
a = -½, h = 2, k = 0
This is y = x³ reflected over the x-axis, vertical shrink of ½, and translated 2 units to the right.
y = -(x − 4)³ − 2
y = -1 (x − 4)³ + -2
a = -1, h = 4, k = -2
This is y³ reflected over the x-axis, translated 4 units right and 2 units down.
Please find the volume of this shape
Answer:
V = 536.8m³
Step-by-step explanation:
A = cross-sectional area
V = prism volume
V = A × length
h = perpendicular height of triangle
h² = 13² - 7²
h² = 169 - 49
h² = 120
h = 10.954...
A = ¹/₂.b.h
A = ¹/₂(14)(10.954...)
A = 76.681...
V = 76.681... × 7
V = 536.768... ⇒ 536.8m³
Jed is baking shortbread for a bake sale. The recipe calls for 1 1 4cups of flour and 1 2stick of butter. How many cups of flour will Jed need if he uses 3 sticks of butter?
Answer: [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.
Step-by-step explanation:
We assume that quantity of flour is proportional to butter.
Given : The recipe calls of [tex]1\dfrac14[/tex] cups of flour and [tex]\dfrac12[/tex] stick of butter.
Let [tex]x_1=1\dfrac14=\dfrac{5}{4}[/tex] [tex]y_1=\dfrac{1}{2}[/tex]
For [tex]y_2=3[/tex] , we will find [tex]x_2[/tex] by using formula of direct proportion: [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
[tex]\dfrac{\dfrac{5}{4}}{\dfrac12}=\dfrac{x_3}{3}\\\\\Rightarrow\ \dfrac{5}{2}=\dfrac{x_3}{3}\\\\\Rightarrow\ x_3=\dfrac{5}{2}\times3= \dfrac{15}2=7\dfrac12[/tex]
Hence, [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.
15/2 cups of flour!
someone, please help worth lots of points
The regular price of a swimsuit in the junior department of a store is $54. The store advertises an end-of-season sale at 40% off the regular price of all swimsuits. Two weeks later the store advertises a bonus sale at an additional 1/5 off the end-of-season sale price of all swimsuits. Shannon and Mary decide this is a great time to shop for swimsuits. Shannon figures that the swimsuits are now 60% off the regular price. Mary disagrees, because she figures that the total discount is actually less than 60%.
a. What is the cost of a swimsuit during the end-of-season sale? Justify your reasoning using a model.
b. What is the cost of a swimsuit during the additional 1/5-off bonus sale? How can you show this with a model?
c. Did Shannon or Mary figure the discount correctly? Use a model to explain.
answer for a b and c plzzz
Answer:
the cost of a swimsuit during the end-of-season sale is 21.6 because 40% of 54
b. 21.4
40% of 54 +(-1/5)
c. No because the 60% of 54 is 32.4
How do you write 86.2 in scientific notation?
x 10
Submit
A line contains the points (10,7) and (5,-8). Write the equation of the line.
out of 300marks a student got 207 what is the score in percent
Answer: 69%
Step-by-step explanation: 207/300 times 100 too divided by the bottom times 100
30 points-
Use the table below that shows the amount of gasoline a car
consumes for different distances driven.
Distance (mi)
2
Gasoline (gal) 0.05 0.10 0.15 0.200.25
Write an equation in function notation for the relationship
between distance and gasoline used.
Answer:
4
Step-by-step explanation:
Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20
Answer:
Step-by-step explanation:
Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation.
(5,7) y=2x+5
Answer:
y = 2(x-5) + 7
Step-by-step explanation:
ANSWER QUICK FOR BRAINLIEST!!
please i need this asap:))
Answer:4
Step-by-step explanation: please just trust me!
Factor by grouping
x^3+2x^2-9x-18
Answer:
(x+2)(x+3)(x-3)
Step-by-step explanation:
Group and factor out the greatest common factor (GCF), then combine.
Hope this helps!!
Ratios that are equivalent to 7/3
Answer:
14:6, 21:9, 28:12
Step-by-step explanation:
please help me with this
Please help:)
I’ll give brainlest
Answer:
I think its C. but if its wrong im so sorry bc im not 100% sure but if it isnt C. then try B. idrk the answer but thats what im thiking its either C or D im not 100% sure hope this helped in some kind of way i tried :/..
Step-by-step explanation:
solve for x
(-4/5)x + 2 =-26
Answer:
(-4/5)x= -26-2
(-4/5)x= -28
x= -28/1÷ -4/5
x= -28/1 ×5/-4
x= -7/5 or -1.7
Name the triangle with the following characteristics. Sides: 5 cm, 5 cm, 7 cm.
a. equilateral triangle
b. right triangle
c. isosceles triangle
d. scalene triangle
Answer:
[tex]\boxed {\boxed {\sf Isosceles \ triangle}}[/tex]
Step-by-step explanation:
An equilateral triangle has 3 equal sides and angles.
A right triangle contains one right or 90 degree angle.
An isosceles triangle has 2 equal sides and base angles.
A scalene triangle has no equal sides or angles.
The triangle given has the sides of 5 cm, 5 cm, and 7 cm.
Therefore, 2 of the sides are equal and this must be an isosceles triangle.
What is 5.790 divided by 2.3
Answer:
Step-by-step explanation:
5.790/2.3=2.5173913
Answer:
2.51739130435
Step-by-step explanation:
Area and Circumference of a circle with radius of 5 feet.
Answer:
area is 78.54 and circumference is 31.42
Step-by-step explanation:
Answer:
Area- 78.5 square feet
Circumference- 31.40
Step-by-step explanation:
Formula for Area of Circle:
Area = [tex]pi[/tex] x radius²
or
Area= pi x d
Formula for Circumference of a circle:
2 x pi x r
Radius= half the Diameter
D= diameter
R= radius
Pi= 3.14
ASAP
Can someone please helppp
Answer:
Option 4
Step-by-step explanation:
6. Just because a diet is popular does not mean it is safe and effective. True False
HELP FAST!
Not really math its PE
Answer:
true
Step-by-step explanation:
the answer is true hope this helps
Broo please help me omg
Answer:
9. -2
10. 0
Step-by-step explanation:
It is not undefined because the slope of horizontal lines are 0
Use the GCF and the Distributive Property to find the sum. Write each number as a product using the GCF as a factor, and apply the Distributive Property. nothing 34, 51
Answer:
[tex]34 + 51 = 85[/tex]
Step-by-step explanation:
Given
[tex]34 + 51[/tex]
Required
Use GCF and distributive property to determine the sum
34 can be expressed as:
[tex]34 = 2 * 17[/tex]
51 can be expressed as:
[tex]51 = 3 * 17[/tex]
So, the GCF of both numbers is 17
[tex]34 + 51[/tex] can then be expressed as:
[tex]2 * 17 + 3 * 17[/tex]
Apply Distributive Property, we have:
[tex]17(2 + 3)[/tex]
Solving further:
[tex]17 * 5[/tex]
[tex]85[/tex]
Hence:
[tex]34 + 51 = 85[/tex]
Answer:
Step-by-step explanation: no
Erla has 28 red and blue marbles. The ratio of red to blue marbles is 1:6.How many blue marbles does Erla have?
when playing the bottle toss game, people have a 12% chance of winning. someone played 25 times. about how many times will he win?