[tex]4 {}^{2} - 5 {}^{2} \times 2 {}^{3} [/tex]
[tex]16 - 25 \times 8[/tex]
[tex]16 - 200[/tex]
[tex] - 184[/tex]
Hello!
Let's evaluate this expression.
4²-5²×2³
4²=16
16-5²×2³
5²=25
16-25×2³
2³=8
16-25×8
According to PEMDAS, the next operation is multiplication (M)
16-200
Subtract:
-184
Hence, the simplified expression is equal to
[tex]\boxed{\boxed{\bold{-184}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
Make an accurate drawing of two rectangles with the same perimeter, but different areas. Indicate the dimensions of the rectangles, as well as the perimeter and the area in each figure.
find the equation of line that is parallel to another line whose equation is 8y+5x-6=0and passes through the point (8,5)
write down the equation of line perpendicular to y=7x/4+9/4 and passes through the origin
today is the deadline please help me
1. The equation of the line that is parallel to the given line and passes through the point (8,5) is y = (-5/8)x + (65/8).
2. The equation of the line that is perpendicular to the given line and passes through the origin is y = (-4/7)x.
1. To find the equation of a line that is parallel to another line with equation 8y+5x-6=0 and passes through the point (8,5), we need to follow some steps.Steps:
First, find the slope of the given line, which can be done by rearranging the given equation into slope-intercept form (y = mx + b).8y+5x-6=0⟹ 8y = -5x + 6⟹ y = (-5/8)x + 3/4So the slope of the given line is -5/8.
Second, since we need to find a line parallel to the given line, the slope of the new line will also be -5/8.
Third, use the slope (-5/8) and the given point (8,5) to find the y-intercept (b) of the new line by using the point-slope form of the equation. y - y₁ = m(x - x₁)y - 5 = (-5/8)(x - 8)y = (-5/8)x + (65/8)
Therefore, the equation of the line that is parallel to the given line and passes through the point (8,5) is y = (-5/8)x + (65/8).
2. To write down the equation of a line perpendicular to y = 7x/4+9/4 and passes through the origin, we can follow some steps.
Steps:
First, find the slope of the given line. This can be done by rearranging the given equation into slope-intercept form (y = mx + b).y = (7/4)x + 9/4So the slope of the given line is 7/4.
Second, since we need to find a line perpendicular to the given line, the slope of the new line will be the negative reciprocal of the given line's slope.
Third, use the slope (-4/7) and the point (0,0) to find the y-intercept (b) of the new line by using the point-slope form of the equation.y - y₁ = m(x - x₁)y - 0 = (-4/7)(x - 0)y = (-4/7)x
Therefore, the equation of the line that is perpendicular to the given line and passes through the origin is y = (-4/7)x.
For more such questions on perpendicular, click on:
https://brainly.com/question/1202004
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Answer:
8y +5x -80 = 0y = -4/7xStep-by-step explanation:
You want the equations of lines ...
parallel to 8y +5x -6 = 0, through point (8, 5)perpendicular to y = 7/4x +9/4, through the originParallel lineThe equation of a parallel line in general form can be written using the same coefficients, and choosing a constant that makes the equation true for the given point.
8y +5x +c = 0
8(5) +5(8) +c = 0
80 +c = 0
c = -80
The equation of the desired line is 8y +5x -80 = 0.
Perpendicular lineThe given equation is in slope-intercept form, so we can identify the slope as ...
y = mx +b = 7/4x +9/4
m = 7/4
The perpendicular line will have a slope that is the opposite reciprocal of this:
m' = -1/(7/4) = -4/7 . . . . . . slope of perpendicular line
The line through the origin will have a y-intercept of 0, so the equation in slope-intercept form is ...
y = -4/7x
__
Additional comment
The attached graph shows the given lines as dashed lines, and the requested lines as solid lines in the same color. The "must pass through" points are shown.
<95141404393>
What is 1 + 1 x 2 Whoever answers it gets brainiest
Answer:
It's equals 3
Step-by-step explanation:
1 + 1 x 2=3
Answer:
3
Step-by-step explanation:
PEMDAS --> Multiply and divide (left to right) (1 x 2 = 2)
Add and subtract (left to right) (1 + 2 = 3)
Which of the following is a right triangle?
70°
60
30*
249
459
128
90°
45°
/60°
60°
55
559
Triangle A
Triangle e
Triangle C
Triangle D
A. Triangle C
B. Triangle D
C. Triangle A
D. Triangle B
SUBMIT
Answer:
Triangle C
Step-by-step explanation:
Triangle C contains a 90° angle.
Answer:
Triangle C
Step-by-step explanation:
The right triangle has one side that is 90° the other two sides have to add up to 90° (45 + 45= 90)
If ((x) = x2+ 3x - 2, find f(-2).
f(x) = x² + 3x - 2
f(-2) = (-2)² + 3*(2) - 2 = 4 - 6 - 2 = - 4
does anybody know how to do this please help meee
Answer:
A
Step-by-step explanation: I believe it's A because It's the opposite but I'm not 100% certain, because I don't remember inverse statements.
A basket contains 4 pears, 1 pineapple, 5 bananas, 3 oranges, and 2 limes.
vin randomly selects one piece of fruit from the basket. What is the
robability that he selects an orange from the basket?
Answer:
3/15
Step-by-step explanation:
there is 15 kinds of fruit totally
4 + 1 + 5 + 3 + 2 = 5 + 5 + 3 + 2 = 10 + 3 + 2 = 13 + 2 = 15
there are 3 oranges; therefore the bility that an orange will be picked is 3 out of 15
Use the slope formula to find the slope of the line through the points (2, 10) and (-3,-6).
Answer:
3.2
Step-by-step explanation:
Your input: find the slope given two points P=(2,10) and Q=(−3,−6).
The slope of a line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by
m=y2−y1/x2−x1
We have that x1=2, y1=10, x2=−3, y2=−6.
Plug the given values into the formula for slope: m=(−6)−(10)/(−3)−(2)=−16/−5=16/5.
Answer: the slope of the line is m=16/5≈3.2.
the elevator can accommodate at most 1500 lbs.Carl is transporting boxes that weigh 15lbs each. If carl weighs 170 lbs.Write an equation that can be used to determine the most number of boxes Carl can transport using the elevator
Answer:
15x+170≤1500
Step-by-step explanation:
it is at most 1500, so less than or equal to 1500, and the 15 lbs relies on the number of boxes so 15x and carl weighs 170 so that must be added, equaling to
15x+170≤1500
I REALLY NEED HELP MY GRADES GO IN TONIGHT AND I CANT SOLVE THIS I NEED A REAL ANSWER I WILL CHECK BEFORE GIVING POINTS!!!!!!!!!!!!!!!!!
Answer:
K. 8
N. 12
A. 29
H. 5
I. -297
G. 89
T. 50
S. -7
W. 165
WHAT'S SHAKING
Answer:
K: 8
N: 12
A: 29
H: 5
I: -297
G: 89
T: 50
S: -7
W: 165
WHATS SHAKING [Answer]
Step-by-step explanation:
Please rate!!
8. Triangle JKL is located at J(4,5) K17, 1) L(1,
1). A transformation occurred and now the
triangle is located at J(-4,5) K(-7,3)
L(-1, 1). What transformation occurred?
Answer:
a bit of a room for the television and then we you too I am really sorry for the television and then we you too I love you too I will be there in about you guys see you tomorrow at 7 in the middle to buy a house in the middle of the night guys see you tomorrow at 7 in the middle of the night
What is the value of x in the equation 1/3x-2/3=-18
?
O -56
O -52
O 52
O 56
Answer:
x = -52
Step-by-step explanation:
Multiply both sides of the original equasion by 3 to get:
x - 2 = -54
Slide over the - 2 across the equal sign to get a +
x = -54 + 2
-54+2 = -52
Soo
x = -52
How do I solve it? URGANT!!!
Answer:
Step-by-step explanation:
KL = JK, so ΔJKL is an isocesles triangle, then m∠J = m∠L
KL is a tangent line, so ∠JKL = 90°,
so m∠J = 45°
The base of a triangle exceeds the height by 7 feet. If the area is 114 square feet, find the length of the base and the height of
the triangle
Answer:
Height of the triangle = 12 feet
Base of the triangle = 19 feet
Step-by-step explanation:
Let the height of the triangle be x feet
-> Base of the triangle = (x + 7) feet
[tex]A(\triangle)= 114\: ft^2[/tex]
[tex]\because A(\triangle)=\frac{1}{2}(base)(height) [/tex]
[tex]\implies 114=\frac{1}{2}(x+7)(x) [/tex]
[tex]\implies 114\times 2= x^2+7x[/tex]
[tex]\implies 228= x^2+7x[/tex]
[tex]\implies x^2+7x-228=0[/tex]
[tex]\implies x^2+19x-12x-228=0[/tex]
[tex]\implies x(x+19)-12(x+19)=0[/tex]
[tex]\implies (x+19)(x-12)=0[/tex]
[tex]\implies (x+19)=0,\:\:(x-12)=0[/tex]
[tex]\implies x =-19,\:\:x=12[/tex]
x represents the height of the triangle.
-> x can not take negative value.
[tex]\implies x\neq -19[/tex]
[tex]\implies x = 12[/tex]
[tex]\implies x +7= 12+7=19[/tex]
Thus,
Height of the triangle = 12 feet
Base of the triangle = 19 feet
Which of the following sets of numbers is a Pythagorean triple?
42, 40, 82
42, 40, 58
41, 41, 58
40, 41, 57
HELP QUICK PLEEZ
Answer:
42,40,58
Step-by-step explanation:
Which function is shown on the graph?
U
T
30
2
2
O f(x) = sino
-14
O f(x) = jcos
OS I
2
ក
O f(x) = -cos
COS
O f(x)=- sin
Answer:
Read the explanation
Step-by-step explanation:
look at the photo
B
45°
71°
E
27°
A
D
11. What is mBAC
Answer:THE ANSWER IS B MY GUY
Step-by-step explanation:
19 pints converted to gallons
Answer:
2.375
Step-by-step explanation:
Divide the volume value by 8
and you get the answer 2.375
Hope it helps
TC
have a great time
solve this to get brainiest
Answer:
1 a. commutative property of multiplication
b. distributive property of multiplication
2 x=23\12
-x = -23\12
-23\12+23\12=0
thus -(-x)+x
Answer:
See below ↓
Step-by-step explanation:
1.
a) commutative propertyb) commutative property2.
Given : x = 23/12To verify = -(-x) = x⇒ -(-(23/12)) ⇒ -1 x -1 x 23/12⇒ 1 x 23/12⇒ 23/12⇒ VerifiedIf abc is an equilateral triangle bc must be 2cm true or false?
Answer:
I would say False
1. (07.01 LC)
What is the value of x in the equation -6 + x = -1? (5 points)
-5
-7
7
5
Answer: the value of x = 5
Simplify the inequality-1 + 6(-1 -3x) > -39 - 2x.
Answer:
2 > x or x < 2
Step-by-step explanation:
-1 + 6(-1 - 3x) > -39 - 2x
-1 - 6 - 18x > -39 - 2x
-7 - 18x > -39 - 2x
32 > 16x
2 > x or x < 2
the reason that x < 2 is because of the negative sign. I solved it so that x stays positive but if you solve the equation with x on the other side like -16x > -32 then when you divide by -16 it changes to x < 2
PLEASE RATE!!! I hope this helps!!
(I have verified my answer on an online calculator)
What are the solutions to the equation 30/x=6
Answer:
the answer will be 5
Step-by-step explanation:
30/x=630=6×x 30/6 =x (where 6×5 =30 )so, x=5The sum of the digits of a two-digit number is 11. When the digits are reversed, the new number is 27 more than the original number. Find the original number. Check your answer.
The original number is 83.
The original number is 47.
The original number is 74.
The original number is 38.
Answer:
The original number is 47.
Step-by-step explanation:
A and C when reversed make a number less than the original value.
D when reversed makes 83 which is 45 more than 38, the original number.
C, when reversed, gives 74 which is 24 more than 47, the original value.
Please mark as brainliest!
Side note:
All number's digits add up to 11.
enter order pairs for
y = 2x + 7
y= 3x – 3
Answer:
(10, 27)
Step-by-step explanation:
We have to solve the given set of equations :
y = 2x + 7y = 3x - 3As both equations are equal to y, equate the RHS of both of the equations.
2x + 7 = 3x - 3x = 10The x-coordinate is 10y = 3(10) - 3 = 27The y-coordinate is 27
Writing an ordered pair
The standard form of an ordered pair is given by (x, y) where x and y are x and y coordinates respectivelyTherefore, the answer is :⇒ (10, 27)Answer:
[tex]\displaystyle [10, 27][/tex]
Step-by-step explanation:
Set each equation equivalent to each other:
[tex]\displaystyle 3x - 3 = 2x + 7 \\ \\ \frac{-10}{-1} = \frac{-x}{-1} \\ \\ \boxed{10 = x, 27 = y}[/tex]
I am joyous to assist you at any time.
A line passes through the point (3,-6) and has a slope of -4
Write an equation in point-slope form for this line
Answer:
step by step explanation
please see photo
Gloria's grandmother gave her a quilt made
up of pieces that have the following dimensions
area of the quilt piece.
bin
Thin
sin
Answer:
What?
Step-by-step explanation:
is this your whole question?
What is the value of x in the equation –2.4x = 8.4?
Answer:
x= 3.5
Step-by-step explanation:
2.4 x= 8.4
x= 8.4 /2.4
x= 3.5
Answer:
X= -3.5
Step-by-step explanation:
You are trying to find what x is, and x is being multiplied with -2.4. The easiest way to find the answer is to divide 8.4 by -2.4. This way, you will get your answer of -3.5. Because two negatives make a positive when you multiply, 8.4 is not negative.
How I solved this.
-2.4x = 8.4
8.4=total
-2.4= Needs to be multiplied with x
x=?
8.4/-2.4=-3.5
Check your work:
-2.4(-3.5)=8.4
Final answer:
x= -3.5
I hope this helps!
-No one
the ratio of the corresponding edge lengths of two similar solids is 4;9 what is the ratio of their volume ?
Answer:
Do the math
Step-by-step explanation:
If you do the math you get answer
Help help math math math math math
Answer:
A
Step-by-step explanation:
You can think about it as an equation without the inequality:
y = 5 - x OR y = -x + 5
Slope = -1
Y-intercept = 5
Graph B is a horizontal line with a slope of zero and y-intercept of 2. Graph A is the only one that fits the above parameters.
Hope this helps!
Answer:
a
Step-by-step explanation: