Answer:
Step-by-step explanation:
Product of slope of perpendicular lines = -1
6x + 5y = 30
Write this equation in y = mx + b form
5y = -6x + 30
y = [tex]\frac{-6}{5}x+\frac{30}{5}[/tex]
[tex]y=\frac{-6}{5}x + 6[/tex]
Slope of this line m₁ = -6/5
m₁ * m₂ = -1
m₂ = -1÷m₁ = -1 * [tex]\frac{5}{-6}[/tex]
[tex]m_{2}=\frac{5}{6}[/tex] & (-6 , -7)
Equation of the required line: y - y₁ = m (x - x₁)
[tex]y - (-7) = \frac{5}{6}(x - [-6])\\\\y + 7 = \frac{5}{6}x + 6 *\frac{5}{6}\\\\y = \frac{5}{6}x +5-7\\\\y=\frac{5}{6}x-2[/tex]
Naoko is building a small art shed in the backyard. She created a blueprint of the floor plan with a scale of 1⁄4 in. To 1 ft. According to the blueprint, the art space has dimensions of 2 1/2 in. By 1 in. What are the dimensions of her art shed in feet?
Answer: 10 feet by 4feet
Step-by-step explanation:
From the question, we are informed that Naoko is building a small art shed in the backyard and that she created a blueprint of the floor plan with a scale of 1⁄4 in. to 1 ft. This means that 1 inch will be to 4 feet.
Since the art space has dimensions of 2 1/2 in. by 1 in. This will be:
= (2 1/2 × 4) by (1 × 4)
= 10 feet by 4 feet
The dimensions of her art shed in feet are 10 feet by 4 feet.
What is the smallest number that can be added to 1923 to make the answer divisible by 9?
Answer:
3
Step-by-step explanation:
1926/9=214
1923+3=1926
Help and you get Brainliest plz!!!!!!!!
Find the intersection point for the following linear functions.
f(x) = 2x + 3
g(x) = -4x − 27
Are these two triangles congruent why or why not!!!!!!!!!???????? WORTH 24 POINTS AND I WILL GIVE YOU BRAINIEST!!!!!!1111
Answer:
not congruent
Step-by-step explanation:
These two triangles are not congruent because for two shapes to be congruent to each other, both needs to have same shape and size and clearly, we can see in this figure that both triangles although are the same shape, are different sizes so therefore these two triangles are not congruent. For example, the height of triangle ADE is 4 whereas the height of triangle CBA is 2.
Ediths bird feedercontains 4 1/2 pounds of birdseed and decreases by 3/4 pound each day Do you los Verdes peter contains 4 1/2 pounds of birdseed and decreases by 3/4 pound each dayJune's birdfeeder contains 3 pounds of birdseed and decreases by 1/4 pound each day if need a person as remove seeds from the birdfeeder how many days will it take for Edith and Junes birdfeeders to contain the same amount of bird seed
Answer:
It will take 3 days for their bird feeders to contain the same amount of bird seed
Step-by-step explanation:
Let the number of days it will take their bird feeder to contain the amount of bird seed be x
For Edith, the amount of birdseeds that will be left after x days will be;
4 1/2 - 3/4(x)
= 9/2 - 3x/4
For June, the amount of birdseeds that will remain after x days will be;
3 - 1/4(x)
= 3 - x/4
Since after x days, the amount of birdseeds will be equal;
Mathematically;
9/2 - 3x/4 = 3 - x/4
Let’s work with decimals to make things easier;
4.5 - 0.75x = 3 - 0.25x
4.5 -3 = -0.25x + 0.75x
1.5 = 0.5x
x = 1.5/0.5
x = 3
2x + 5 =12
What is x
Answer:
7/2
Step-by-step explanation:
2x=12-5....collectible like terms
2x=7
x=7/2...dividing both side by 2
Answer:
soln
we know that,
2x + 5 = 12
or, 2x = 12 - 5
or, 2x = 7
or, x = 7/2
x=7/2
FREE BRAINLIEST
Write the inequality that matches the situation. The sum of twice a number and 5 is at most 15.
Answer:
See Below
Step-by-step explanation:
Ok, so you got:
The sum of twice a number and 5 is at most 15
Sum means we are going to add two things together, soo . .
___+___
Is at most means we are going to have:
___+___≤ ___
Twice a number and 5= 2x(a variable) + 5
(I'm going to use a as my variable, use whichever you like or are given)
2a + 5 ≤ __
Which will result in being greater than or equal to 15
So, your final equation would be:
2a + 5 ≤ 15
1) When is a relation a function? What are some
ways to tell if a relation is a function?
Answer:
How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!
Step-by-step explanation:
what does x equal in 4(x-4)<16+2x
Answer:
x<16
Step-by-step explanation:
The grades on a history midterm at Gardner Bullis are roughly symmetric with μ = 69 μ=69mu, equals, 69 and σ = 3.5 σ=3.5sigma, equals, 3, point, 5. Ishaan scored 65 6565 on the exam. Find the z-score for Ishaan's exam grade. Round to two decimal places.
Answer:
-1.14
Step-by-step explanation:
The given information in statement is
mean=μ=69
standard deviation=σ=3.5
Let X be the Ishaan's exam score
X=65
The Z score can be computed as
[tex]z=\frac{x-mean}{standard deviation}[/tex]
[tex]z=\frac{65-69}{3.5}[/tex]
z=-1.1429
z=-1.14 (rounded to two decimal places).
Thus, the computed z-score for Ishaan's exam grade is -1.14.
Answer:
-2.67
Step-by-step explanation:
khan academy
Find the slope -16x=-6-2y
At a basketball game, 21% were supporting the visiting team. If total number of people attending the game was 1300, how many people were supporters of the home team?
Answer:
1300x0.21= 273 people
1300-273= 1027 people are supporters of the home team
Step-by-step explanation:
Answer:
1027
Step-by-step explanation:
21% 1300=273
1300-273=1027
What is the approximate distance between points (-7,2) and (11,-5)?
The approximate distance between points (-7,2) and (11,-5) is
=√[11-(-7)]²+[(-5-2)]²
=√(18)²+(-7)²
=√324+49
=√373
Will Mark Brainliest if show work. FAST!! PLSS? 6x-4=4x-20 Solve for X
Answer:
x= -8
collect like term than divide both sides
6x-4x = -20+4
2x= -20+4
2x=-16
x= -8
Answer:
x = -8Step-by-step explanation:
6x-4=4x-20 Solve for X
6x-4x = -20+4
2x = -16
x = -8
proof
6(-8) - 4 = 4(-8) - 20
-52=-52
A 32-cup container of disinfectant costs $19.20. What is the price per quart?
There are 120 Calories in a 34-cup serving of cereal. How many Calories are there in 6 cups of cereal
Answer: 960 calories in 6 cups of cereal
Step-by-step explanation:
Answer:
960 calories ✌️✌️.. . ..All sweaters at a store are on sale at a 20% discount. What would be the sale price of a sweater regularly priced $402 State what strategy and tool you will use to answer the question, explain your choice, and then find the answer.
Answer:
A sweater was on sale at 40% off the regular price
Step-by-step explanation:
Three consecutive integers have a sum of -21. Which equation can be used to find the value of the three numbers?
X+X+ X=-21
LS
X+ 2x + 3x = -21
O x+(x+1)+(x+2) = -21
Ox+(x+2)+(x+4)=-21
Mark this and return
Save and Exit
Next
Submit
Answer: x + (x + 1) + (x + 2) = -21
Step-by-step explanation:
Please can someone help with this question ASAP
Answer:
yes
Step-by-step explanation:
three is a factor of 12 because you can multiply it by 4 and you get 12 (a factor is a number you can multiply by another to give you a product)
Fitness For cardiovascular exercise, you do a combination of walking and running
for 60 minutes. During the 60 minutes, you end up running twice as much as
walking. Let x represent the number of minutes you ran and y represent the
number of minutes you walked. How many minutes did you run and how many
did you walk?
Answer:
You walked for 20 minutes and ran for 40 minutes
Step-by-step explanation:
System of Equations
Let x = the number of minutes you ran
y = the number of minutes you walked
Walking and running takes a total of 60 minutes, thus:
[tex]x+y=60\qquad\qquad [1][/tex]
Running time is twice as much as walking time, thus:
[tex]x=2y\qquad\qquad [2][/tex]
Solve the system by substitution. Taking x from [2] and substitute in [1]:
2y+y=60
Simplifying:
3y=60
Solving:
y=60/3=20
Calculate x from [2]:
x=2*20=40
You walked for 20 minutes and ran for 40 minutes
In a class full of men and women, 4/9 of the class are women. What is the ratio of men to women in its simplest form?
Answer:
5:4
Step-by-step explanation:
Since 4/9 of the people are women, that leaves 5/9 as men.
Which rational number is between -2 and -3
Answer:
There are infinite numbers between -2 and -3
Step-by-step explanation:
First off these numbers:
-2.1 or this number as any equivilant fraction.
-2.2 or this number as any equivilant fraction
-2.3 or this number as any equivilant fraction
-2.4 or this number as any equivilant fraction
-2.5 or this number as any equivilant fraction
-2.6 or this number as any equivilant fraction
-2.7 or this number as any equivilant fraction
-2.8 or this number as any equivilant fraction
-2.9 or this number as any equivilant fraction
any numbers that are reepeating like : -2.3333333333.....
and any numbers that end and don't go on forever without a single repeating number. -2.485485485485485485485485..... is not rationally repeating. -2.444444444444 is rational.
Write it as a verbal expression 27-2x
A side of the triangle below has been extended to form an exterior angle of 118°. Find the value of x.
Answer:
62 degrees
Step-by-step explanation:
the total angle of a straight line like this hypotenuse would be 180. So it's 180-118=62
Solve for x. (Type in the number ONLY)
Quick algebra question 15 points and will mark brainliest if correct
Answer:
I belive it would be c
Step-by-step explanation:
because if you read the question it says the lowest point altho they are equale it still makes sence to put c
simplify 6/2√3+√6 + √6/√3+√2 -4√3/√6-√2
[tex]\frac{6}{2\sqrt{3}} + \sqrt{6} + \sqrt{6}\sqrt{3} + \sqrt{2} - \frac{4\sqrt{3}}{\sqrt{6}} - \sqrt{2}\\\frac{3}{\sqrt{3}} + \sqrt{6} + \sqrt{18} + \sqrt{2} - \frac{4\sqrt{3}\sqrt{6}}{\sqrt{6}\sqrt{6}} - \sqrt{2}\\\frac{3\sqrt{3}}{\sqrt{3}\sqrt{3}} + \sqrt{6} + \sqrt{18} + \sqrt{2} - \frac{4\sqrt{18}}{6} - \sqrt{2}\\\frac{3\sqrt{3}}{3} + \sqrt{6} + \sqrt{18} + \sqrt{2} - \frac{2\sqrt{18}}{3} - \sqrt{2}\\\sqrt{3} + \sqrt{6} + \sqrt{3^2 \cdot 2} + \sqrt{2} - \frac{2\sqrt{3^2 \cdot 2}}{3} - \sqrt{2}\\[/tex]
[tex]\sqrt{3} + \sqrt{6} + 3\sqrt{2} + \sqrt{2} - \frac{2 \cdot 3\sqrt{2}}{3} - \sqrt{2}\\\sqrt{3} + \sqrt{6} + 3\sqrt{2} + \sqrt{2} - \frac{6\sqrt{2}}{3} - \sqrt{2}\\\sqrt{3} + \sqrt{6} + 3\sqrt{2} + \sqrt{2} - 2\sqrt{2} - \sqrt{2}\\\sqrt{3} + \sqrt{6} + \sqrt{2}[/tex]
What is the justification for each step in the solution of the equation 2/3x-1/3=2(x+2)
Answer:
-13/4
Step-by-step explanation:
Evaluate f(x)=x+6 when x=−2,0, and 5.
f(−2)=
f(0)=
f(5)=
thank you
Answer:
f(-2) = 4
f(0) = 6
f(5) = 11
Step-by-step explanation:
You just need to plug in the different values of x into the equation
f(x)=x+6
When x = -2, then f(-2) = -2 + 6 = 4
When x = 0, then f(0) = 0 + 6 = 6
When x = 5, then f(5) = 5 + 6 = 11
f(5) = 11 , f(0) = 6 , f(-2) = 4
Given expression:
f(x) = x + 6
Find:
f(−2), f(0), f(5)
Computation:
f(x) = x + 6
When x = -2
f(-2) = -2 + 6
f(-2) = 4
When x = 0
f(0) = 0 + 6
f(0) = 6
When x = 5
f(5) = 5 + 6
f(5) = 11
Learn more:
https://brainly.com/question/1667837?referrer=searchResults
Regular exercise can help a person lower their resting heart rate. Suppose an individual's resting heart rate, in beats per minute, is modeled by the function f(x) = –0.1x 3 + 0.6x 2 + 85 after x weeks of regular exercise. How many weeks of exercise are necessary to lower the individual's resting heart rate below 70 beats per minute?
Answer:
pienso que el ejercicio no debería de regularse por nada si no por tu condición física ama lo que miras en el espejo diariamente pero promete a esa persona que se puede ver mejor. y cuando lo haces con amor a ti mismo y también a tu pareja por qué no te vas a sentir espectacular.
Answer:
9 weeks
Step-by-step explanation:
edge