The line which is perpendicular to the line 4x + 3y = 21 is y = x + 1.
What are lines and their slopes?We know lines have various types of equations,
The general type is Ax + By + c = 0, and the equation of a line in
The slope-intercept form is y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
An equation of a line is given which is 4x + 3y = 21 or 3y = - 4x + 21.
So, The line has a slope(m) = - 4.
∴ The line perpendicular to this line has a slope of (1/4) as perpendicular lines have slopes that are negative reciprocals of each other and it is passing through the points (4, 2).
∴ 2 = (1/4)(4) + b.
b = 1.
∴ y = x + 1 is the line.
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Synthetic division
(3x^2 - 4 + x^3) = (x - 1)
Answer:
x³+3x²-4/×-1=x²+4x+4+0/x-1=x²+4x+4
Yosef typed a 54 word paragraph in 2/3 minute. What is his typing speed in word per minute
Solve for the missing arc measure, angle measure, or variable.
mSN = _____ degrees.
Please help! I’ll give brainliest!!
Answer:
Arc SN = 65
Step-by-step explanation:
The relationship between these three is
RPQ = 1/2 (arc SN + arc QR)
70 = 1/2 (x + 75) Multiply by 2
140 = x + 75 Subtract 75
x = 140 - 75
x = 65
A submarine is traveling level at ¯75 feet below the surface of the sea. The Captain gives orders to dive the submarine to a depth three times their current level. What is the new cruising level?
Answer:
264 {feet}
below sea level
Step-by-step explanation:
Ascending means moving towards the surface.
So the submarine is 340 feet below sea level.
The submarine ascends 76 feet.
∴
340 − 76 =
264 below sea level.
Step-by-step explanation:
(I’ll give Give Brainliest)
Answer:
C
Step-by-step explanation:
C is only right answer among a to d
Answer:C
Step-by-step explanation:
I’ve done this question before(I pretty sure),I’m sorry for no explanation.Tell me if it’s wrong. :(
lfu29
what is 3 1/5 times 1/6?
Answer:
0.53333333 or 0.54
Step-by-step explanation:
a car travels 15 miles in 15 minutes how many miles does it travel in 2 hours
Answer:
120 miles in 2 hour
Step-by-step explanation:
One hour has 4 times 15 minutes, so you need to do 15 miles x 4 and that time 2 because its 2 hours.
What is the APR on a loan with a monthly periodic rate of 1.75%
Can anyone please help
2. 64 = 2 × 2 × 2 × 2 × 2 × 2 2 |64
√64 = √2 × 2 × 2 × 2 × 2 × 2 2 |32
√64 = 2 × 2 × 2 2 |16
√64 = 2³ 2 |8
√64 = 8 2 |4
2 |2
3. No positive square root exists for -85 as it is a negative integer. The squares of a number is always positive.
4. 114 is not a perfect square. √114 = 10.677078252
5. √16 = 4
6. √105 = 10 (nearest)
7. √81 = 9
8. √14 = 4 (nearest)
9. √8 = 3 (nearest)
which expression is equivalent to square root 48x^5 if x > 0
Answer: C:4x^2 square root of 3x
Step-by-step explanation:
Just got it right on Plato
C. 4[tex]x^{2} \sqrt{3x}[/tex] is equivalent to the expression [tex]\sqrt{48x^{5} }[/tex] if x>0
What do you mean by equivalent algebraic expression?An algebraic expression may be a blend of constants, coefficients, factors, and scientific operations. An algebraic expression can comprise of a number of terms or a few. Equivalent algebraic expressions are expressions that appear different but work the same way. If two algebraic expressions are equal, then on assigning the same value to the variables the two expressions will give the same value.At least two expressions are required to check for equality and You can substitute in nearly any value for the variable when trying to determine if two expressions are equivalent.
Expression:
[tex]\sqrt{48x^{5} }[/tex] if x>0
= [tex]48^{1/2}(x^{5})^{1/2}[/tex]
= [tex]48^{1/2}x^{5/2}[/tex]
= (2×2×2×2×3[tex])^{1/2}x^{5/2}[/tex]
= 2×2×[tex]3^{1/2}[/tex]×[tex]x^{5/2}[/tex]
= 4[tex]\sqrt{3} x^{5/2}[/tex]
= [tex]4\sqrt{3}x^{2} x^{1/2}[/tex]
= [tex]4x^{2} \sqrt{3x}[/tex]
Therefore, [tex]\sqrt{48x^5}[/tex] = [tex]4x^{2} \sqrt{3x}[/tex] if x>0
Hence, 4[tex]x^{2} \sqrt{3x}[/tex] is equivalent to the expression [tex]\sqrt{48x^{5} }[/tex] if x>0
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which equation matches the table??
The answer is the third one of y = 6x.
As you substitute x = 1, you get y = 6.
You substitute x = 2, you get y = 12.
An expression is shown. 590.92 - 219.38 What is the value of the expression?
Answer:
371.54
Step-by-step explanation:
590.92 - 219.38 = 371.54
Value of the expression using the subtraction method is 371.54
What is Subtraction?Subtraction is an arithmetic operation that represents the operation of removing objects from a collection
Given expression,
590.92-219.38=371.54
Hence, the value of the expression is 371.54
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Evaluate 7x+5y+2 at x=1 and y=2 is
JI
Answer:
19
Step-by-step explanation:
7(1) + 5(2) + 2
7 + 10 + 2
19
The answer for the question is 19
1 and 2 plz help me im nice:)
Answer:
1. 13
2. 28
Step-by-step explanation:
hope this helps
URGENT HELP! VIEW PICTURE
Answer:
it 2
Step-by-step explanation:
HELPPPPPPP ASAPPPPP PLSSSS
Answer: i think A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
5m+26 when m=3 i just need a answer but u can solve
Answer:41
Step-by-step explanation:
Drag the numbers below to put them in order from least to greatest:
-19 -12 -13 9 -4 -1
3 hats and 2 scarves costs £12.
5 hats and 4 scarves costs £21.
Find the cost of a hat.
Find the cost of a scarf
Answer:
hat=£(9*9)/3*24)/3/8/9
Scarf=£1.5
Step-by-step explanation:
Let's suppose hats is the variable h
And Let's suppose scarves is the variable s
3h+2s=12
5h+4s=21
so, 3h+2s=12 which is also 2s=12-3h
so, in the equare 5h+4s=21 we can replace the 4s with 2(12-3h) Now the equation is this:
5h+24-6h=21
*Simplified*
Now 5h-6h= -1h
-1h+24=21
+1h +1h
on each side.
now the equation is(remember 1h=h): 24=h+21
I think you can do it now.
Now with the cost of the hats, we can use the first equation: 3h+2s=12
h=3
3*3=9
-9 -9
2s=3
s=1.5
3. Angles DEF and EFG are complementary angles. The measure of ZDEF can be
represented by the expression (3x + 15), and the measure of ZEFG can be represented by
the expression (8x - 2).
What is the measure, in degrees, of ZEFG?
A. 250
B. 36
C.45
D. 54
Carmen has bought 30 pounds of dog food. She feeds her dog 2/3 pounds for each meal. For how many meals will the food last?
Answer:
24/34=12/17=.7058..................
Step-by-step explanation:
How many solutions does 6x= 1 = 2x + 5 + 4x + 6 have?
A. No Solutions
B. Two solutions
C. Infinitely many solutions
D. One Solutions
Answer:
C. Infinitely many solutions
Step-by-step explanation:
Answer:
INFINITE SOLUTIONS
Step-by-step :(examples)
any value of x makes the equation true
true for all= infinite solutions
one solution= x=30
no solution= 7=0
Pls someone help idk
Answer:
first one c and the second on b
Step-by-step explanation:
I need to know if its maximum or minimum
Answer:
minimum
Step-by-step explanation:
because there's a dip
What is the distance between (4,-1) and (0,1)
Answer:
answer is in the image below
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
On Tuesday morning, the temperature is -5º F. The temperature rises 3 4 degree each hour for 6 hours before dropping 1 4 degree each hour for 3 hours. What is the temperature, in degrees Fahrenheit, after 9 hours?
Answer:
The temperature in degrees after 9 hours is -1.25 degrees Fahrenheit
Step-by-step explanation:
Here, we want to know the temperature after 9 hours
Per hour rise each hour is 3/4 degree = 0.75 degree
In 6 hours that will be 0.75 * 6 = 4.5 degrees
Or hour drop is 1/4 = 0.25 degree
In 3 hours, that will be 0.25 * 3 = 0.75 degree
Since it is a drop, we have -0.75 degree
Temperature after 9 hours will be;
-5 + 4.5 -0.75
= -5.75 + 4.5 = -1.25 degrees fahrenheit
18x + 3y = -21 !!!!!!!!!!
18x+3y=-21
slope -intercept form: y=mx+b
move 18x to the other side
sign changes from +18x to -18x
18x-18x+3y=-18x-21
3y=-18x-21
divide both sides by 3 to find slope-intercept form
3y/3=-18x/3-21/3
y=-6x-7
answer: y=-6x-7
Answer:
x= -1/6 y + -7/6
Step-by-step explanation:
A hiker cycles 9 miles in 2/3 of an hour. Make a chart and fill it in to show how far he will bike if he maintains the same pace for 2 hours, 3hours, 3.5 hours.
Answer:
2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles
Step-by-step explanation:
1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)
2.) 2 hours: 13.5 * 2 = 27 miles
3.) 3 hours: 13.5 * 3 = 40.5 miles
4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles
9 miles in 2/3 of a hour.
in 1 hour = 9 X 3/2 = 18.2 miles
In 2 hrs = 27 miles
in 3 hrs = 54.6 miles
in 3.5 hrs = 63.7 miles
In triangle ABC, the measure of angle A is 95º and the
measure of angle B is 35º. What is the measure of angle C?
A
50°
B
60°
с
140°
D
180°
Answer:
A
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°, thus
∠ A + ∠ B + ∠ C = 180°, so
95° + 35° + ∠ C = 180
130° + ∠ C = 180 ( subtract 130° from both sides )
∠ C = 50° → A
8
9
× i need help
5
8
The answer is going to be 5162.
Answer: 5/9, if I got it right.
Step-by-step explanation:
if you're talking about fractions, here is the work. I am not great at explaining.
Hope this helps!
