Answer:
y = - [tex]\frac{1}{3}[/tex] x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 3 ← is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] , then
y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
To find c substitute (- 3, - 1) into the partial equation
- 1 = 1 + c ⇒ c = - 1 - 1 = - 2
y = - [tex]\frac{1}{3}[/tex] x - 2 ← equation of perpendicular line
Expand and simplify 4(2x-1)+3(2+5)
Answer:
8x + 17
Step-by-step explanation:
4(2x- 1) + 3(2 + 5)
=4*2x - 4*1 + 3*7
=8x - 4 +21
=8x + 17
Which measure of center best represents the data?
8,8,7,8,8,8,1,8,8
Answer:
8
Step-by-step explanation:
The median is 8 since 8 is the most common number
Hi! can someone help?
Answer:
129
Step-by-step explanation:
[tex]\frac{5^{4} }{5} +4[/tex]
[tex]\frac{625 }{5} +4[/tex]
[tex]125 +4[/tex]
129
Representa en notación científica 0.00000345
Answer:
3.45×10^-6
Step-by-step explanation:
Crea el decimal usando los últimos 3 números: 3.45
Multiplica por 10 a la negativa potencia del número de ceros: 10^-6
What is the value of y
Find the fraction of Chandler's comic book collection that is made
up of both Arachna-Man and Wonderdog comics. Explain how
you found
your answer.
rationalising factor of 5 +root 7
Answer:
Therefore, lowest rationalizing factor is ( 7 + √7 ).
Step-by-step explanation:
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100%sure
Answer:
5 - [tex]\sqrt{7}[/tex]
Step-by-step explanation:
To rationalise the factor multiply by the conjugate factor
The conjugate of 5 + [tex]\sqrt{7}[/tex] is 5 - [tex]\sqrt{7}[/tex] , then
(5 + [tex]\sqrt{7}[/tex] )(5 - [tex]\sqrt{7}[/tex] ) ← expand using FOIL
= 5² - ([tex]\sqrt{7}[/tex] )²
= 25 - 7
= 18
A cone-shaped section is cut out of a cubic block of wood as shown. What is the volume of wood left after the cone is removed? Round to the nearest tenth.
12cm
12cm
12cm
Answers:
A. 371.5 in^3
B. 452.2 in^3
C. 1275.6 in^3
D. 1728.0 in^3
Answer:
Its A
Step-by-step explanation:
Its A
Jo had $5 more than Nate and together
they had $43. How much did Nate have?
Answer:
$14
Step-by-step explanation:
Let Joe have $x
Then Nate would have $(x-5)
They both have $(x + (x-5) which is equal to $43
$(x + x -5) = $43
$2x - $5 = $43
$2x = $(43 - 5)
$2x = $38
Divide both sides by $2
x = 19 (Joe has $19)
:. Nate has $(19 - 5) = $14.
Nate have 24 dollars.
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
Suppose that Jo has x dollars of amount, and
Nate has y dollars of the amount
Given that Jo had $5 more than Nate and together they had $43
x + 5 = y ,
x + y = 43,
Substitute the value of y in the equation x + y = 43,
x + 5 + x = 43
2x = 43 - 5
2x = 38
Divide both sides by 2
x = 19
Now substitute the value of y = 19 in the equation x = y +5,
So, y = 19 + 5
y = 24
Hence, Nate have 24 dollars.
Learn more about equation here:
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At the beginning of the year, Samantha deposits $1000 into a savings account that pays 2.5% interest. She does not deposit money into or withdraw money from
the account for 1 year.
What is the interest rate expressed as a decimal?
Answer:
0,025
Step-by-step explanation:
simply devide by 100,2,5% is out of 100%
Draw the graph of y = 2x + 1
Hoped that I helped you :)
Answer:
Step-by-step explanation:
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answer:
i think it is A
Step-by-step explanation:
Answer:
its A between -9 and -10
Step-by-step explanation:
Sarah uses 3/4 pound of blueberries to make 2/3 cup of jam. How many pounds of blueberries does she need to make one cup of jam
Answer:
1/12
Step-by-step explanation:
i belive this is the answer
what is 0.00051 convert in standard form
The answer is:
5.1 x [tex]10^-4[/tex]
a)
2(x + 3) = x-4
Can someone help me pls...??
Answer: -10 :))))
i hope this helps
How to do these questions step by step
Answer:
Only for question 1
Step-by-step explanation:
The answer is
When numbers with indices are being multiplied together, the indices act as if its being added together whereas if you multiply the indices together then it would multiply them all
Sophie and Simon are peeling a pile of potatoes for lunch in the cafeteria. Sophie can peel all the potatoes by herself in 45 minutes, while it would take Simon 30 minutes to do the job working alone. If Sophie and Simon work together to peel the potatoes, how long will it take them?
A table showing Rate in part per minute, Time in minutes, and Part of Potatoes Peeled. The first row shows Simon and has StartFraction 1 Over 30 EndFraction, t, and t times StartFraction 1 Over 30 EndFraction. The second row shows Sophie, and has StartFraction 1 Over 45 EndFraction, t, and t times StartFraction 1 Over 45 EndFraction.
15 minutes
18 minutes
38 minutes
75 minutes
Answer:
the answer is 38 minutes
Answer:
18
Step-by-step explanation:
Pls help I would APPRECIATE IT
On Saturday, the fruit and juice bar was selling 20 glasses of fruit punch an hour. By 7 p.m., they had sold 180 glasses. If their goal was to sell more than 240 glasses of fruit punch, find the number of hours, h, they must stay open past 7 p.m. to make their goal.
======================================================
Explanation:
h = number of hours past 7 pm
20h = the number of glasses sold after h hours
20h+180 = adding on the 180 glasses already sold
20h+180 > 240 is the inequality to set up
Let's solve for h
------------------
20h+180 > 240
20h > 240-180
20h > 60
h > 60/20
h > 3
They must remain open more than 3 hours past 7 pm in order to sell more than 240 glasses of juice.
The earliest that they can close is 11 pm (since 4+7 = 11).
--------------------
If h = 3, then
20h+180 = 20*3 + 180 = 240
meaning that they haven't reached their goal of getting over 240
So they have to stay open that extra hour to get past 240.
The shortest side of an isosceles triangle is labeled, in inches, in the triangle below. The two longer sides are 6 inches longer than the shortest side. The perimeter of the triangle is 33 inches.
Complete question is;
The shortest side of an isosceles triangle is 2x - 3 inches long. the longer sides are 6 inches longer than the shortest side. the perimeter of the triangle is 33 inches. what is the length of each side of the longer sides of the triangle.
Answer:
Shortest side = 7 inches
Side 2 = 13 inches
Side 3 = 13 inches
Step-by-step explanation:
We are told that;
Triangle is isosceles
The shortest side is 2x - 3 inches
The other 2 sides which are equal because it's an isosceles triangle are both 6 inches longer than the shortest side. Thus;
Side 2 = side 3 = 2x - 3 + 6 = 2x + 3
Since perimeter = 33 and sum of all 3 sides is the perimeter. Thus;
(2x - 3) + 2x + 3 + 2x + 3 = 33
6x + 3 = 33
6x = 33 - 3
6x = 30
x = 30/6
x = 5
Thus;
Shortest side = 2(5) - 3 = 7
Other 2 sides are each; 2(5) + 3 = 13
Pls help me I don’t understand this!!!!
Answer: D
Step-by-step explanation:
D The angle agacent to arc ML is half the degree. Your answer is 118
Answer:
D
Step-by-step explanation:
angle J is a circumference angle that insists on arc ML. the measure the angle of this arc is double of it
59 * 2 = 118 degrees
simplify 16^x+1 +20(4^2x)/2^x-3 8^x+2
the answer is in the attachment
Hope it helps
wats the answer of 3/4 of 7/15
Answer:
3/4 × 7/15 =7/20
just multiplication
What property was used in step 1 to arrive at step 2?
Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.
distributive property
addition property of equality
subtraction property of equality
division property of equality
Answer:
distribute property
Step-by-step explanation:
5 is distributed into the parentheses.
5 × x = 5x
5 × (-7) = -35
5x - 35 = 55
Hope that helps.
The property used in step 1 to arrive at step 2 is the Distributive property, the correct option is A.
What is a Product?Product is the output of the mathematical operation Multiplication.
The Step 1: 5 (x minus 7) = 55.
Step 2: 5 x minus 35 = 55
In step 2 Distributive property is used to solve the expression.
According to Distributive property
The sum of multiplying a number by the addend of two numbers will the same result when each number which is being added is multiplied individually and then added.
a ( b+c) = a*b + a*c
5 (x -7) = 55.
5x - 35 = 55
Therefore, the distributive property is used.
To know more about Distributive Property
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can someone please help
Answer:
Concurrent as my perception
pls help me solve pls show how you got the answer
Given:
The figure of a circle O.
To find:
The value of x.
Solution:
First, label some points on the given figure as shown below.
In triangle BOC,
[tex]OB=OC[/tex] (Radii of same circle)
It means [tex]\Delta BOC[/tex] is an isosceles triangle and the base angles of an isosceles triangles are congruent. So,
[tex]\angle OBC\cong \angle OCB[/tex]
[tex]m\angle OBC=m\angle OCB[/tex]
[tex]75^\circ=m\angle OCB[/tex]
In triangle [tex]\Delta BOC[/tex],
[tex]m\angle BOC+m\angle OBC+m\angle OCB=180^\circ[/tex] (Angle sum property)
[tex]m\angle BOC+75^\circ+75^\circ=180^\circ[/tex]
[tex]m\angle BOC+150^\circ=180^\circ[/tex]
[tex]m\angle BOC=180^\circ-150^\circ[/tex]
[tex]m\angle BOC=30^\circ[/tex]
Now,
[tex]m\angle BOC=m\angle BOC+m\angle COD[/tex]
[tex]m\angle BOC=30^\circ+94^\circ[/tex]
[tex]m\angle BOC=124^\circ[/tex]
Using the central angle theorem, we get
[tex]m\angle BAD=\dfrac{1}{2}\times m\angle BOD[/tex]
[tex]x=\dfrac{1}{2}\times 124^\circ[/tex]
[tex]x=62^\circ[/tex]
Therefore, the correct option is B.
100 points
This system of inequalities models the scenario:
2x + y ≤ 8
x + y ≥ 4
Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set.
Answer:
Solution set include (1,5), (1,4)
Step-by-step explanation:
To solve, you would have to graph both lines, and shade, the sections that are applicable. For Example is if it tells you the 2x+y is less than or equal to 8, you would shade it.
The Solution set would be anything in the overlapping area between both line's shades.
PLEASE help !! someone who knows fr ! pls
Answer:
It is the first option
Step-by-step explanation:
A florist arranges some orchids in bouquets of 20 and some roses in bouquets of 10. She sells each orchid bouquet for $25 and each rose bouquet for $30. She earns a total of $390. If she sells four times as many orchid bouquets as rose bouquets, how many flowers does she sell altogether?
Answer:
270 flowers total she sell Together.
Step-by-step explanation:
According to the Question,
Given, A florist arranges some orchids in bouquets of 20 and some roses in bouquets of 10.Let, x = number of orchid bunches & y = number of rose bunches.
Now, She sells each orchid bouquet for $25 and each rose bouquet for $30. She earns a total of $390Therefore, 25x + 30y = 390 ⇒⇒ Equation 1
she sells 4 times as many orchid bunches as rose bunches,
Therefore, x = 4y ⇒⇒ Equation 2
Put The Value Of Equation 2 in Equation 1, We get25 × (4y) + 30y = 390
100y + 30y = 390
130y = 390 ⇔ y = 390 / 130 ⇒ 3
if y = 3, then x = 4y must be equal to x= 12.
Thus, she sold 12 orchid bunches and 3 rose bunches.
Verify, 25x + 30y = 390 ⇔ 12 × 25 + 3 × 30 = 390 (All okay)Now, Each orchid bunch contains 20 flowers and each rose bunch contains 10 flowers.
12 × 20 + 3 × 10 = 240 + 30 ⇔ 270 flowers total she sell Together.Using the graph as your guide, complete the following statement.
The discriminant of the function is A. zero
B. negative
C. positive
Answer:
Step-by-step explanation:
The discriminant tells you where the graph of the parabola goes through the x-axis, if at all. If the discriminant is negative there are no real zeros and the parabola does not cross or touch the x-axis; if the discriminant is positive the parabola will go through the x axis in 2 places; if the discriminant is 0 the parabola will touch the x-axis in 1 place. Our discriminant is 0 since the parabola only touches the x-axis but does not go through.
