This means that everything in between those numbers is correct
Equation of line that passes through points (6,-1) and is parallel to the line 5x+6y=6?
Answer:
[tex]y + 1 = -\frac{5}{6}(x-6)[/tex]
or
[tex]y = -\frac{5}{6}x +4[/tex]
Step-by-step explanation:
Parallel lines are lines which have the same slope. To write the equation of the line parallel, find the slope of the equation 5x + 6y = 6 through conversion into slope intercept form.
5x + 6y = 6 becomes y = -5/6x + 1. The slope is -5/6.
Substitute\ m =-5/6 and the point (6,-1) into the slope intercept form.
[tex]y-y_1=m(x-x_1)\\y --1 = -\frac{5}{6}(x - 6)\\y + 1 = -\frac{5}{6}(x-6)[/tex]
Convert the equation to slope intercept form by applying the distributive property.
[tex]y + 1 = -\frac{5}{6}(x-6)\\y + 1 = -\frac{5}{6}x +5\\y = -\frac{5}{6}x +5-1\\y = -\frac{5}{6}x +4[/tex]
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 21 + 2w = 16, where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?
formula perimeter of a rectangle
= l + l + w + w
=2l + 2w
Perimeter of rectangle
21 + 2w = 16
as you know 21 is 2l,
one length
2l = 21
l =21/2
l = 10.5
Answer
10.5 inches
Answer:
[tex]l=8-w[/tex]
Step-by-step explanation:
We have been given that the perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is [tex]2l+2w=16[/tex], where [tex]l[/tex] represents the length of the rectangle and w represents the width of the rectangle.
Let us solve for [tex]l[/tex].
Factor out 2:
[tex]2(l+w)=16[/tex]
Divide both sides by 2:
[tex]\frac{2(l+w)}{2}=\frac{16}{2}[/tex]
[tex]l+w=8[/tex]
Subtract w from both sides:
[tex]l+w-w=8-w[/tex]
[tex]l=8-w[/tex]
Therefore, the expression [tex]8-w[/tex] represents length of rectangle.
Order from least to greatest.
7/9. 10/9. 0.62
Please help thanks
.62, 7/9,10/9 the easyiest way to do this is by putting it in decimal form or just look 7/9 is more then .62 and 10/9 is a mixed number
Answer:
0.62, 7/9, 10/9
Step-by-step explanation:
First you want to convert the fractions to decimals.
10/9 = 1.110
7/9 = 0.778
0.62 = 0.62
then you order them from least to greatest.
0.62, 7/9, 10/9
Select the domain and range of F. F = {(x, y ) | x + y = 10}. Domain: {10} Range: {10} Set F is not a function and does not contain a domain or range Domain: All Real Numbers Range: All Real Numbers
Answer:
Domain: All Real Numbers
Range: All Real Numbers
Step-by-step explanation:
F is
F = {(x, y ) | x + y = 10}
(x,y) is the ordered pair
x + y = 10 is the expression
We can rearrange it
y = 10 - x
And then we can plot it using a graphing calculator. See attached image
By looking at the plot and examining the expression, we can see that there are no restrictions over x or y.
This means that the domain and range are all real numbers
Domain: All Real Numbers
Range: All Real Numbers
F is a function because it is a relation that associates each element x to a single element y.
*EASY* Will mark brainest!!
Question: Determine whether the pair of lines is parallel, perpendicular or neither.
x-8y=-5
y=8x-1
perpendicular! the slope of one is 1/8 while the slope of another is 8/1
Step-by-step explanation:
To solve the first equation:
x-8y=-5
-8y=-x-5
y=1/8x-5
A point on this line would be (8, -6) and (16, -3)
A point on the second line would be (1, 7) or (2, 15)
These lines are neither parallel or perpendicular.
A cathedral has a large, circular stained-glass window. A visitor measures the window and calculates that it has a circumference of 25.12 yards. What is the window's area?
Use 3.14 for .
The area of the circular stained-glass window is 50.24 square yards.
Explanation:To find the area of the circular stained-glass window, we need to use the formula for the area of a circle: A = πr². Since we know the circumference of the window is 25.12 yards, we can use the formula C = 2πr to solve for the radius. Dividing both sides of the equation by 2π, we get r = C/(2π) = 25.12/(2 × 3.14) = 3.9996 yards. Now we can substitute this value of r into the formula for the area to find the window's area: A = 3.14 × (3.9996)² = 50.24 square yards.
Learn more about Area of a circle here:
https://brainly.com/question/28642423
#SPJ3
On a piece of paper graph y+2<1/4x-1. Then determine which answer choice matches the graph you drew.
Answer:
It graph A I'm here to help not give the wrong answer.Trust me ik how it feels
The answer choice which matches the graph we drew is Option (A)
Concept of inequality and coordinate axes -In mathematics, inequality is a statement of an order relationship that can be greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
Coordinate axes is the graph of the X and Y axis . A straight line can be plot in the coordinate axes plane by identifying its slope and the value of its y-intercept.
How to determine the graph which satisfies the inequality and the straight line given in the question ?Given equation of straight line is y + 2 < 1/4x - 1
We solve the inequality in standard form of equation of straight line,
y < 1/4x - 3 , where slope is 1/4 and y-intercept is 3 when comparing with y = mx + c.
From the four graphs given in the Option, each and every graph has a slope of 1/4 and a y-intercept of -3 .
In Option (A) the portion indicating in the graph is the region which is less than -3 . Also from the equation, y < 1/4x - 3 we can see that the variation of the curve will always be less than -3 and it will also be a straight line and not a dotted line.
So the graph of Option(A) satisfies the straight line and inequality.
To learn more about Inequality in equation of straight line, refer -
https://brainly.com/question/25969846
#SPJ2
Find the area of the figure at the right.
Answer:
64
Step-by-step explanation:
To find the area of the figure, split it into two shapes - a trapezoid and a rectangle.
The area of the trapezoid is found using A = 1/2 (a+b)h. Substitute a = 6, b = 4 and h = 8.
A = 1/2(6+4)(8) = 1/2(10)(8) = 40
The area of a rectangle is found using A = b*h. Substitute b = 6 and h = 4.
A = 6*4 = 24
Together the area adds to 40 + 24 = 64
Mike has a storage box that is 3 feet long, 2 feet wide, and 1 foot deep. How many 1-foot cubes can the box hold?
Answer:
I think the answer is 6.
Step-by-step explanation:
Since the box is 1 foot deep and the cubes are 1 foot, they must sit side by side instead of being stacked up. Therefore you multiply length by width 2x3 and you get 6.
find the zero's of the function please help will mark brainliest whoever answer is helpful please help me
Answer:
x = -5
x=1
Step-by-step explanation:
f(x) = 1/3 (x+5) (x-1)
We want to find the zero's so set f(x) = 0
0 = 1/3 (x+5) (x-1)
Using the zero product property
x+5 = 0 x-1 =0
x+5-5 = 0-5 x-1+1 = 0+1
x = -5 x=1
Answer:
x = -5, 1
Step-by-step explanation:
first you want to set both parenthesised equations to zero --
x + 5 = 0 x - 1 = 0
then just solve the one step equations--
x + 5 = 0 x - 1 = 0
-5 -5 +1 +1
x = -5 x = 1
and you can leave the 1/3 alone (it actually has nothing to do with the zero product property)
hope this helps!!
(Triple points, Brainliest offered) How many ways can you draw 20 cards from a deck of cards?
Answer:
About 12.6 trillion ways!
Step-by-step explanation:
See the attached photo
What is the area of the figure?
A. 180 square inches
B. 220 square inches
c. 48 square inches
D. 96 square inches
Answer:
Step-by-step explanation:
AMSWER is A .180
There are 14 apples in a basket. 6 of these are green. The rest of them are red.
(a) what is the ratio of all apples in the basket to red apples?
(b) what is the ratio of red apples to green apples?
(a) ; 14:8
(b) ; 8:6
Answer:
a = 14:8
b = 8:6
Step-by-step explanation:
----
One way to rename 5 3/10 is 4 8/10 .
Answer:
that answer is false
Step-by-step explanation:
What fraction is less than 3/4
A fraction lesser than 3/4 is 1/2
What is a fraction?A fraction a part of a whole number can be written in a way such that the upper part is the numerator and the lower part is the denominator and these two are separated by a division line.
From the information given;
The fraction 3/4 can be written as [tex]\mathbf{\dfrac{3}{4}}[/tex], in decimal value, it is 0.75.
A fraction lesser than 3/4 can be 1/2 because the decimal value of 1/2 is 0.5.
Learn more about fractions here:
https://brainly.com/question/78672
Fractions less than 3/4 have a numerator to a denominator ratio that equals a number less than 0.75. Examples of such fractions are 1/2 and 2/3.
Explanation:To determine which fraction is less than 3/4, it's important to remember that a fraction represents a division: the numerator (upper number) divided by the denominator (lower number). Fractions that are less than 3/4 have a ratio of the numerator to the denominator that results in a number less than 0.75, which is the decimal equivalent of 3/4.
For example, the fraction 1/2 is less than 3/4, because 1 divided by 2 equals 0.5, and 0.5 is less than 0.75. Similarly, the fraction 2/3 is less than 3/4, because 2 divided by 3 equals approximately 0.67, and 0.67 is again less than 0.75. Knowing the division values, even approximately, can help you quickly figure out if a fraction is less than or greater than another one.
Learn more about Fractions here:https://brainly.com/question/33564650
#SPJ3
PLEASE HELL I WILL GIVE BRAINLIEST I GOT POINTS PLEASE IK BEGGING U
Answer:
28800
Step-by-step explanation:
mutply 9 times 12 times 15 time 20
Please give me the answer
Answer:
The answer is isosceles , obtuse.
Step-by-step explanation:
I say this because if you look at the shape of the triangle, isosceles are longest on the bottom and make it look stretched, and the top is obtuse because it is over a 90 degree angle
Answer:
Step-by-step explanation: It is an isosceles triangle and it is obtuse. So the answer would be the second one.
if the Leaning Tower of Pisa has a height of 55 meters, radius of 8 meters, what is the volume?
Answer:
3520
Step-by-step explanation:
V(cylinder) = PR(squared)H
8 squared is 64pi
times 55 is 3520
Answer:
11058 m³
Step-by-step explanation:
This is a slanted cylinder. The volume is V = (area of base) (height), just as in the case of upright cylinders.
Here, V = πr²·h. Subbing the givens,
V = π(8 m)²·(55 m) = 11058 m³ is the volume of this building. I have rounded this result off to the nearest 1 m³.
PLEASE HELP ME!!!!!!!!!!! PLZ
Answer:
1/16
Step-by-step explanation:
1/2 divided by 8= 0.0625
There is not much that can be done to figure out how to write 0.0625 as a fraction, except to literally use what the decimal portion of your number, the .0625, means.
Since there are 4 digits in 0625, the very last digit is the "10000th" decimal place.
So we can just say that .0625 is the same as 0625/10000.
The fraction is not reduced to lowest terms. We can reduce this fraction to lowest
terms by dividing both the numerator and denominator by 625.
Why divide by 625? 625 is the Greatest Common Divisor (GCD)
or Greatest Common Factor (GCF) of the numbers 625 and 10000.
So, this fraction reduced to lowest terms is
So your final answer is: 1/16
1. 1/2 divided by 8
2.
1
——
2x8
3 equals 2x8=?
=1/?
4.
1/2 divided by that number ( the sum of 2x8) equals your answer!
Your welcome if you get it wrong so soory. Hope everything goes good!
What is the decimal representation of seven hundredths
given triangle abc ~ triangle def. what is the value of x?
if triangles are similar then corresponding internal angles are equal
=》 x = 180-(50+60) = 70degrees
The measure of angle x is the same as the measure of angle c which is,
x = 70°
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know triangles that are similar to each other have equal measures of corresponding angles.
Given, ΔABC ≈ ΔEDF,
Therefore, m∠B = m∠E = 50° and m∠D = m∠A = 60.
So, The measure of angle x is,
x = 180 - 50 - 60. (sum of interior angles equals 180°)
x = 180 - 110.
x = 70°.
learn more about triangles here :
https://brainly.com/question/2773823
#SPJ5
the hardware store where you work charges .80 cents including tax for a pound of nails. a customer purchases 5 3/4 pounds of nails. how much should you charge the customer for nails?
Answer:
$4.60
Step-by-step explanation:
The customer will pay $0.80 per pound. They are buying 5 and 3/4 pounds of nails, so they will pay..
$0.80(5) + $0.80(3/4) for the nails...now simplify...
$4.00 + $0.60 = $4.60
Answer:
You charge 4.6 cents the customer for nails.
Step-by-step explanation:
Given :The hardware store where you work charges .80 cents including tax for a pound of nails.
To Find : A customer purchases [tex]5\frac{3}{4}[/tex] pounds of nails. how much should you charge the customer for nails?
Solution:
Cost of 1 pound of nails including tax = 0.80 cents
Cost of [tex]5\frac{3}{4}[/tex] pounds of nails:
=[tex]0.80 \times 5\frac{3}{4}[/tex]
=[tex]0.80 \times \frac{23}{4}[/tex]
=[tex]4.6[/tex]
Hence you charge 4.6 cents the customer for nails.
how do u convert 1/4 into a percent
First divide 1/4=0.25 and then multiply 0.25 bu 100% so the result is 25%
For the dumonitor remember that 4 x 25 is 100.
Our Multiple is 100.
So that means we need to multiply 1 and 4 by 25.
1×25 = 25 so our top number is 25.
4x25 is 100 which would be our bottom number.
We end up with 25/100.
That as a percent would be [tex]\fbox{25percent}[/tex] / 25%
Your feedback is important so I can improve answers. Please let me know how I did and what I did wrong (if so) by rating me with the stars below if you're on computer. If you are on mobile you can reply to help me out!
⬇ Note that it isn't needed. Have an amazing day!
How do I do questions 8-10?
Answer:
see explanation
Step-by-step explanation:
Divide the coordinates of the dilation by the original coordinates
(8)
[tex]\frac{6}{9}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{2}{3}[/tex]
(9)
[tex]\frac{12}{10}[/tex] = [tex]\frac{-8}{-15}[/tex] = [tex]\frac{6}{5}[/tex]
(10)
[tex]\frac{-9}{-1}[/tex] = 9
Nicole reads 24 pages during a 30 minute independent reading period.At this rate how many pages would she read in 45 minutes
Answer:
36 pages
Step-by-step explanation:
divide 24 by 30=0.8 and multiply 0.8x45.
Answer:
36
Step-by-step explanation:
which type of line of symmetry does the figure have ? vertical horizontal diagonal none
Answer:
vertical
Step-by-step explanation:
you can flip it and it be the same.
The type of line of symmetry that the figure has is none.
What is a line of symmetry?It is a line, when drawn through a figure, the figure can be folded along the line of symmetry and both sides would coincide.
We can find the line of symmetry of the given figure as follows:The given figure is a parallelogram.
It does not have a vertical line of symmetry, because when we fold the figure, both sides of the figure won't coincide.
It does not have a horizontal line of symmetry, because when we fold the figure, both sides of the figure won't coincide.
It does not have a diagonal line of symmetry, because when we fold the figure, both sides of the figure won't coincide.
Therefore, the given figure has no lines of symmetry. The correct answer is option D.
Learn more about lines of symmetry here: https://brainly.com/question/109377
#SPJ2
What is the equation of the new function
Answer:
The answer is (A) ⇒ G(x) = 7(-x)³
Step-by-step explanation:
* In transformation:
- Reflecting across the y-axis means change the sign of x-coordinate
- Stretch vertically means multiply f(x) by constant k, where k > 1
∵ F(x) = x³
- At first we reflect it across the y-axis
∴ We must change the sign of x to -x
∴ F(x) = (-x)³
- At second we stretch it vertically by constant 7
∴ We multiply F(x) by 7
∴ F(x) = 7(-x)³
∴ The answer is (A) ⇒ G(x) = 7(-x)³
In the graph the red is F(x) , the blue is G(x)
And archaeologist fines 30 fossils in South Dakota and Wyoming. 40% of the fossils were in South Dakota. How many fossils were found in Wyoming?
Answer:
It is 12. 12 fossils were found in Wyoming.
Step-by-step explanation:
i have a math problem im confused on don't mind the pencil
Answer: 261.5 in²
Step-by-step explanation:
Separate the image into three shapes:
Top (Trapezoid)Middle (Rectangle)Bottom (Rectangle)Top (Trapezoid):
[tex]A=\dfrac{b_1+b_2}{2}\cdot h\\\\\\.\ =\dfrac{9+(4+6+4)}{2}\cdot 5\\\\\\.\ =\dfrac{23}{2}\cdot 5\\\\\\.\ =\dfrac{115}{2}\\\\\\.\ =\boxed{57.5}[/tex]
Middle (Rectangle):
[tex]A=L\times w\\.\ =6\times 10\\.\ =\boxed{60}[/tex]
Bottom (Rectangle):
[tex]A=L\times w\\.\ =18\times 8\\.\ =\boxed{144}[/tex]
[tex]Area_{\ image}=Area_{\ Top}+Area_{\ Middle}+Area_{\ Bottom}\\.\qquad\qquad=57.5+60+144\\.\qquad\qquad=\large{261.5}[/tex]
Solve for x.
x2 + 4x - 21 = 0
A.
-3, -7
B.
-3, 7
C.
3, -7
D.
3, 7
Answer:
C. 3, -7
Step-by-step explanation:
x^2 +4x-21 =0
Factor
What 2 numbers multiply to -21 and add to 4
7*-3 = -21
7-3 = 4
(x+7) (x-3) =0
Using the zero product property
x+7 =0 x-3=0
x+7-7=0-7 x-3+3=0+3
x = -7 x=3
Answer:
C. 3, -7Step-by-step explanation:
[tex]x^2+4x-21=0\\\\x^2+7x-3x-21=0\\\\x(x+7)-3(x+7)=0\\\\(x+7)(x-3)=0\iff x+7=0\ \vee\ x-3=0\\\\x+7=0\qquad\text{subtract 7 from both sides}\\x=-7\\\\x-3=0\qquad\text{add 3 to both sides}\\x=3[/tex]