the correct answer is option a. bombinos pizza
Find an equation of the line perpendicular to the graph of 14x-7y=8 passing through the point at (-2,5)
Answer:
Equation of line perpendicular to given graph is:
[tex]y = -\frac{1}{2}x+4[/tex]
Step-by-step explanation:
Given equation of line is:
14x-7y=8
First of all, we have to convert the given equation into slope-intercept form to find the slope of the line
The slope-intercept form is:
[tex]y = mx+b[/tex]
Now
[tex]14x-7y=8\\14x-8 = 7y\\\frac{7y}{7} = \frac{14x-8}{7}\\y = \frac{14}{7}x - \frac{8}{7}\\y = 2x - \frac{8}{7}[/tex]
The co-efficient of x is 2 so the slope of given line is 2
Let m1 be the slope of line perpendicular to given line
The product of slopes of two perpendicular lines is -1
[tex]m.m_1 = -1\\2.m_1 = -1\\m_1 = -\frac{1}{2}[/tex]
The equation for line perpendicular line to given line will be:
[tex]y = m_1x+b\\y = -\frac{1}{2}x+b[/tex]
To find the value of b, putting (-2,5) in the equation
[tex]5 = -\frac{1}{2}(-2) + b\\5 = 1+b\\b = 5-1\\b = 4[/tex]
The final equation is:
[tex]y = -\frac{1}{2}x+4[/tex]
Hence,
Equation of line perpendicular to given graph is:
[tex]y = -\frac{1}{2}x+4[/tex]
It’s an inequality I need the work for it ik the answer
Answer:
Solving the inequality [tex]1<\frac{a+7}{-2}[/tex] we get the value of a: [tex]\mathbf{a<-9}[/tex]
Step-by-step explanation:
We need to solve the inequality: [tex]1<\frac{a+7}{-2}[/tex]
We need to solve the inequality, to find the value of a.
Solving the inequality:
[tex]1<\frac{a+7}{-2}[/tex]
First step is Switching both sides (the inequality will be reversed)
[tex]\frac{a+7}{-2}>1[/tex]
The next step is to multiply both sides by -2 and reverse the inequality
[tex]\frac{a+7}{-2}*-2<1*-2\\a+7<-2[/tex]
Now, subtracting 7 on both sides
[tex]a+7-7<-2-7\\a<-9[/tex]
So, solving the inequality [tex]1<\frac{a+7}{-2}[/tex] we get the value of a: [tex]\mathbf{a<-9}[/tex]
What is the range of the cluster in the scatter plot?
A: Between 4 and 8 years of experience
B: Between 6 and 12 years of experience
C: Between $10,000 and $60,000
D: Between $40,000 and $60,000
Answer:
b
Step-by-step explanation:
Hello can someone help me with this question please!
Answer: 66.10
Step-by-step explanation:
Sin^-1(32/35)
Continue each pattern with the next two numbers
-7, -9, -11,-13
Write the explicit equation for this sequence an
What would the 18th term be in this sequence?
Simplify the expression 5 to the power of 3 x 5 to the power of -5.
Answer:
5^-2
Step-by-step explanation:
5^3 * 5^-5
~Use exponent rule [ x^y * x^z = x^y+z ]
5^3+(-5)
~Simplify
5^-2
Best of Luck!
PLEASE HELP!! I’ve got a car with an internal volume of 12,000 L. If I drive my car into the river and it implodes, what will be the volume of the gas when the pressure goes from 760 mmHg to 141.82 kPa?
Answer:
V2 = 8571.43L
Step-by-step explanation:
To solve for the V2, We can use V2 = P1V1 / P2
= 1.0 atm × 12,000 L / 1.4 atm
= 12,000 L / 1.4 atm
= 8571.43 L
The local lighting company found that 2 out of every 10 lightbulbs was defective. If
there are a total of 120 bulbs in a box, how many can they predict will be defective?
Answer:
24
Step-by-step explanation:
2/10
120 ÷ 10 = 12
2 x 12 = 24
10 x 12 = 120
24/120
Answer:
24
Step-by-step explanation:
120 % 10 = 12
2 x 12 = 24
what is (12x+5)+(-10x-3)
Answer:
2+2
Step-by-step explanation:
There ya go
Can somebody help me. Will mark brainliest.
Probability.
It has been estimated that about 30% of frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked. A consumer purchases 12 frozen chickens. What is the probability that the consumer will have more than 6 contaminated chickens.
Answer: 0.0386
Step-by-step explanation:
Given: The probability hat the frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked : p= 0.30
Sample size : n = 12
Let x = Number of contaminated chickens
Here , two outcomes for any chicken (either contaminated or not) , so it follows binomial distribution.
Binomial probability formula:
[tex]P(X=x) = \ ^nC_x p^x(1-p)^{n-x}[/tex]
The probability that the consumer will have more than 6 contaminated chickens :-
[tex]P(X>6)=P(X=7)+P(X=8)+P(X=9)+P(X=10)+P(X=11)+P(X=12)\\\\=^{12}C_6(0.3)^6(0.7)^6+^{12}C_7(0.3)^7(0.7)^5+^{12}C_8(0.3)^8(0.7)^4+^{12}C_9(0.3)^9(0.7)^3+^{12}C_{10}(0.3)^{10}(0.7)^2+^{12}C_{11}(0.3)^{11}(0.7)^1+^{12}C_0(0.3)^{12}(0.7)^0[/tex]
[tex]=0.03860084306\approx0.0386[/tex] (simplified)
Hence, the required probability = 0.0386
Write an equation of the line that passes through the given point and has the given slope. (4, 2); slope 1/2
Answer:
y = 1/2x
Step-by-step explanation:
Substitute the given information into the equation y = mx + b
Your goal is to find what b is
Obviously, the point given --> (4, 2) is the x and y.
The m is the slope (1/2)
Work down below!
Solve this one step equation.
5x = 13
help please
Hellllllllllo aluachantar
Answer this I can’t seem how
What’s 2+2 then -3?
Answer:
1
Step-by-step explanation:
2+2=4
4-3=1
Marking brainlesssss!!
Answer:
A 22 inches
Step-by-step explanation:
Pls just trust me lol
you deposit $500 in an account that pays 5% annual interest compound continuously what is the balance after 3 years
Answer:
So I= p x r/100 x t
= 500 x 5/100 x 3
= 25 x 3
$75 interest
Balnce will be $575
Which number below best represents a depth of seven hundred and five-tenths meters below the ground?
A. -700 5/100
B. -700 5/10
C. 700 5/10
D. 700 5/100
2 3/8 x 3 3/4 divided by 2 2/3
Answer:
57/32
Step-by-step explanation:
171/32 divided by 2 2/3
a shop is having a sale all items are reduced by 30% work out the sale price of an item normally priced at £110
Answer:
77 us dollar
Step-by-step explanation:
because I used a calculator
Answer:
77
Step-by-step explanation:
answers for both boxes please
Express 10 : 12 as a decimal.
(Round to the nearest hundrerdth)
Answer:
pretty sure it's .833
Step-by-step explanation:
whats 43.6 rouded to the nest tenth
Answer:
43.6
Rounded to the nearest 0.1 or
the Tenths Place.
Using addition, subtraction, multiplication, division, exponents, grouping symbols, and at least one positive and negative number, make an expression equal to 10 (no repeating numbers)
Answer:
2 + 3 (1) + (10 / 5)^2 + 7 - 6 = 10
Step-by-step explanation:
2 + 3 (1) + (10 / 5)^2 + 7 - 6
= 2 + 3 + (2)^2 + 7 - 6
= 2 + 3 + 4 + 7 - 6
= 10
Over a one week period in the summer, the price of a gallon of gas increased from $2.35 to $2.82. By what percent did the price of gas increase over that week?
What is it
Answer:
$0.47
Step-by-step explanation:
2.82 - 2.35
I need some help please and thank you
Ryan drinks liters of water every of an hour at a constant rate.
How many liters of water does he drink in 3 hours?
I don’t know how to do this can someone help?
Answer:
i think its B cause 4 was the radius
Step-by-step explanation:
if the product of two number is 10 and the sum is 7 ,then the longest of the two number is
Answer:
5 units
Step-by-step explanation:
Step one:
Given data
Le the first number be x
and the second number be y
So
x*y= 10-----------------1
and
x+y= 7-----------------2
from eqn 1
x= 10/y
put x= 10/y in eqn 2
[tex]10/y+y= 7\\\\10/y= 7-y[/tex]
cross multiply we have
[tex]10=y(7-y)\\\\10=7y-y^2[/tex]
rearrange
[tex]y^2-7y+10=0[/tex]
the factors of the quadratic expression are
-5 and -2
[tex]y^2-5y-2y+10= 0\\\\y(y-5)-2(y-5) =0\\\\y-2=0\\\\y= 2\\\\y-5= 0\\\\y=5\\\\[/tex]
The longest side is 5 units
Which of the following equations have infinitely many solutions?
Answer:
A
Step-by-step explanation:
The only one with nothing else in front of the X, which means you can't divide, which means it stays the same.
The top running speed of a giraffe is 250% of the top speed of a squirrel. If a squirrel’s top running speed is 12 miles per hour, find the speed of a giraffe.
Answer:
30
Step-by-step explanation: First take the fastest speed of the squirrel, and then you multiply it by the percentage (250%). You can this by moving on decimal point to the left from the zero (250% = 2.50). Then multply the speed of the squirrel by said percentage of the girrafe,
12 x 2.5 = 30