The equation of the line perpendicular to y = -2x + 8 is y = 1/2x + 8.
A line is perpendicular to another line if their slopes are negative reciprocals of each other. The slope of the line y = -2x + 8 is -2, so the slope of a line perpendicular to it would be 1/2.
Of the above choices, only line (C) has a slope of 1/2. Therefore, the equation of the line perpendicular to y = -2x + 8 is y = 1/2x + b, where b is the y-intercept.
To find the value of b, we can substitute a point on the line y = -2x + 8 into the equation y = 1/2x + b. For example, the point (0, 8) lies on the line y = -2x + 8. Substituting this point into the equation y = 1/2x + b, we get:
8 = 1/2 * 0 + b
b = 8
Therefore, the equation of the line perpendicular to y = -2x + 8 is y = 1/2x + 8.
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6/4 as a whole number or a mixed nimber
Answer: 1 2/6 which needs to be simplify which is 1 1/3.
We can see here that 6/4 as a mixed number is = 1 (1/2).
What is mixed number?A mixed number is a representation of a number that includes both a whole number and a fraction. It consists of an integer part and a fractional part. The integer part represents a whole number, while the fractional part represents a proper fraction.
To express 6/4 as a mixed number, you divide the numerator (6) by the denominator (4) and express the remainder as a fraction with the same denominator. In this case, 6 divided by 4 is 1 with a remainder of 2. So, 6/4 can be written as the mixed number 1 (2/4), which can be simplified to 1 (1/2).
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Type the correct answer in each box. Use numerals instead of words.
The domain of this function is {-12, -6, 3, 15}.
Complete the table based on the given domain.
At x = –6, y = 11
At x = 3, y = 5
At x = 15, y = –3
At x = –12, y = 15
Solution:
The function is [tex]y=-\frac{2}{3} x+7[/tex].
The domain of the function is {–12, –6, 3, 15}.
Substitute x = –6 in the function to find y.
[tex]$y=-\frac{2}{3} (-6)+7[/tex]
y = 4 + 7
y = 11
Substitute y = 5 in the function to find x.
[tex]$5=-\frac{2}{3} x+7[/tex]
Subtract 7 from both sides, we get
[tex]$-2=-\frac{2}{3} x[/tex]
Multiply by [tex]-\frac{3}{2}[/tex] on both sides, we get
x = 3
Substitute x = 15 in the function to find y.
[tex]$y=-\frac{2}{3} (15)+7[/tex]
y = –10 + 7
y = –3
Substitute y = 15 in the function to find x.
[tex]$15=-\frac{2}{3} x+7[/tex]
Subtract 7 from both sides, we get
[tex]$8=-\frac{2}{3} x[/tex]
Multiply by [tex]-\frac{3}{2}[/tex] on both sides, we get
x = –12
At x = –6, y = 11
At x = 3, y = 5
At x = 15, y = –3
At x = –12, y = 15
Five times the sum of a number and 6 equals 3
Answer:
5x+6=3
Step-by-step explanation:
"A number" is a variable.
"Sum" is addition.
"Equals 3" is =3.
"and six" relates to "sum".
So when you put these together it would be 5x+6=3
Order these numbers from greatest to least: -4 , 1/4 , 0 , 4 , -3 1/2 , 7/4 , 5/4
Answer:-4, -3 1/2, 0, 1/4, 5/4, 7/4, 4
Step-by-step explanation: please give brainliest and thankyou
The scale on a map is 1 cm for every 600 km. If Seattle and Maine are 10 cm apart on the map, then approximately how far apart are they really?
Answer: 6000 km
Step-by-step explanation:
600 x 10
6000
When multiplying by 10 you add a zero to the end.
Answer:
6,000
Step-by-step explanation:
I think I'm not sure but if for every 1cm=600km then you multiple
1cm=600km
10cm=6,000km
Which graph represents a linear function?
2 A town park has two biking trails. Marsh Trail is 5 miles long, Woodland Trail is
25 miles long. How much longer is Marsh Trail than Woodland Trail?
A. 31
c. 733
D. 2 ²
Answer:
By 20 miles
It should be 20, since you are seeing how much apart is from Trail Marsh and Trail Woodland. Subtract 5 from 25, and you get 20
How can you use a point on the graph of f –1(x) = 9x to determine a point on the graph of f(x) = log9x?
Answer:
Switch the x- and y-coordinates
Step-by-step explanation:
Which of the following statements is true? The value π is a rational number. The number 0 is a natural number. The number is an integer. The number -5 is a real number.?
Answer:
Actually, the other answer the other person put was incorrect.
Step-by-step explanation:
The reason for this being that the correct answer is actually "-5 is a real number". Most all numbers are real numbers, if you haven't gotten into complex numbers yet
Hope this helps even if it's really late, just know that the other answer somebody else put is incorrect.
Answer:
The number -5 is a real number.
Step-by-step explanation:
I need the answer quick
-1 1/3 -> -1.3
Decimal Form: −1.3
Convert the fraction to a decimal by dividing the numerator by the denominator.
1/6 -> 0.16
Decimal Form: 0.16
KNOWLEDGE CHECK!!!ALEKKSSSS
Answer:
2,5
Step-by-step explanation:
Add three
If the side of square is 1/5 inches. Then what is the area of the square?
Answer:
1/25
Step-by-step explanation:
1/5*1/5=1/25
because lenght times width equals area
a number decreased by 7 is less than 4
Answer:
one example is 10
Step-by-step explanation:
10 - 7 = 3
3 < 4
Answer:
I believe it can be any number above 4
Step-by-step explanation:
because any number above 4 minus 7 is a number under 4
Find the slope between the
following points:
(11,-16) and (17,-9)
Answer:
m= [-16- (-9)]/(11-17)= (-16+9)/-6= -7/-6
the slope=7/6
Step-by-step explanation:
the slope is difference between y/ difference between x
Find an equation for the line with the given properties. Express your answer using either the general form or the slope intercept form of the equation of a line. parallel tot he line x=16; containing the point (-3,3)
Answer:
Step-by-step explanation:
Which expression is equivalent to (4+3i)^2+(6-I)^2
Answer:
[tex]\large\boxed{(4+3i)^2+(6-i)^2=42+12i}[/tex]
Step-by-step explanation:
[tex](4+3i)^2+(6-i)^2\qquad\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2\\\\=4^2+2(4)(3i)+(3i)^2+6^2-2(6)(i)+i^2\\\\=16+24i+9i^2+36-12i+i^2\qquad i=\sqrt{-1}\to i^2=-1\\\\=16+24i+9(-1)+36-12i+(-1)\\\\=16+24i-9+36-12i-1\qquad\text{combine like terms}\\\\=(16-9+36-1)+(24i-12i)\\\\=42+12i[/tex]
Rashad is paid time-and-a-half for any overtime he works weekly. He worked 10 hours overtime last week and earned $120. What is his regular hourly pay?
Answer:
$12 hourly
Step-by-step explanation:
120 ÷ 10 = 12
Emanuel is planting trees along a new city sidewalk. He plants the same number of trees on each city block. After 3 blocks, he has planted 15 trees. After 5 blocks, he has planted 25 trees. At what rate is Emanuel planting trees?
Answer:
Every 1 Block he is planting 5 tree's.
Step-by-step explanation:
There are multiple ways you can do it but the easiest I prefer is just to divided The Tree's by the Blocks.
Ex: 6 Blocks is 30 trees, Divide 30 by 6 and you get 5 for every block.
Emanuel is planting trees at a rate of 5 trees per block. This is determined by dividing the total number of trees by the total number of blocks planted.
Explanation:Emanuel is planting trees at a consistent rate. To find this rate, we can set up a simple ratio.
He planted 15 trees in 3 blocks, which simplifies to 5 trees per block. This can be confirmed by looking at the second part of the problem. After 5 blocks, he had planted 25 trees. If we divide the total number of trees by the total number of blocks (25 trees / 5 blocks), we also get 5 trees per block.
Therefore, the rate at which Emanuel is planting trees is 5 trees per block.
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What is the area of the rectagle 12 ft 4 ft
12 times 4 equals 48ft
The probability of getting a 4- bedroom home with a open porch based off the table.
what number will make 3/4 x 7/8 = 7/8 x true?
Answer:
3/4
Step-by-step explanation:you divide both sides by 7/8, so x=3/4.
Answer:
3/4
Step-by-step explanation:
Given
3/4 x 7/8
Multiply through
21/32
Divide by 7
3/4
Choose the constant that could be multiplied by each equation to create a system of equivalent equations with opposite terms.
2x + 3y = 1
5x + 2y = 8
The first equation can be multiplied by 5 and the second equation by 2.
The first equation can be multiplied by –5 and the second equation by –2.
The first equation can be multiplied by –5 and the second equation by 2.
Answer:
I think it's the third one. Because it will make both equation's x a opposite value (one is positive and one is negative).
Step-by-step explanation:
Because 2x+3y=1*5= 10x+15y=5 and then 5x+2y=8*-2 = -10x+4y=-16 both equations will cancel the Xs out and then you can solve for Y.
Answer:
The 3rd one
Step-by-step explanation:
Identify the center and radius of each.
Step-by-step explanation:
The general equation of a circle with centre (h,k) and radius r
(x-h)²+(y-k)²=r²
Here, (x+5)²+(y-13)²= 10
=>{x-(-5)}²+(y-13)²=(√10)²
center: ( -5,13)
radius: √10
option C
the center of the circle is at (5, 5). what is the circumference? PLZ HELP!!
Answer:
Can I know the units to this and what does the (5,5) represent? Like it's a dot on a coordinate plane or something else?
Step-by-step explanation:
10. The physician ordered 3.75 mg of Warfarin sodium. Available are Warfarin 7.5 mg scored
tablets. How many tablets will you give?
help me pls I've been waiting for an hour to get an answer I'm willing to sacrifice my points ...
Deidre goes out for lunch and realizes that she only has $10 with her. If she wants to leave a 20% tip and knows she will have to pay 5% tax on her lunch, what is the most expensive lunch she can order?
Answer:
I think it's probably 8$ Edit: 7.5$ i did the math wrong
Evaluate the expression?????
Answer: 15.6
Step-by-step explanation:
20% of a is 11, what is a
75% of b is 12, what is b
80% of c is 20, what is c
200% of d is 18, what is d
Answer:
20% of a is 11, what is a
a =55
75% of b is 12, what is b
b = 16
80% of c is 20, what is c
c = 25
200% of d is 18, what is d
d = 9
Step-by-step explanation:
20% of a is 11, what is a
20a = 1100
a =55
75% of b is 12, what is b
75b = 1200
b = 16
80% of c is 20, what is c
80c = 2000
c = 25
200% of d is 18, what is d
200d = 1800
d = 9
Solve for x in the diagram below
Answer:
[tex]x=6^o[/tex]
Step-by-step explanation:
we know that
[tex]5x^o+(x+54)^o=90^o[/tex] -----> by complementary angles
solve for x
[tex]6x=90-54\\6x=36\\x=6^o[/tex]
The length of rectangle is 7.1 cm and breadth 2.5 cm what is the area of rectangle
Step-by-step explanation:
[tex]Area \: of \: rectangle \\ = lenght \times breadth \\ = 7.1 \times 2.5 \\ = 17.75 \: {cm}^{2} \\ [/tex]