The lines kx + 2y = -7 and y = 2x - 5 are perpendicular to each other. Find the value of k.

Answers

Answer 1
k=1
A perpendicular line will have a slope that is the negative reciprocal of the slope of the original line, so we need m=-1/2
kx+2y=-7
Subtract kx from both sides.
2y=-kx-7
Divide both sides by 2.
y=-1/2x-7/2
Answer 2

Answer:

k=1

Step-by-step explanation:

1. find the negative reciprocal of the slope of y=2x-5 because that is the slope perpendicular to it.

m=2 ; negative reciprocal is 1/-2

2. isolate y in the first equation

y= kx/-2 + 7/-2

3. the only value for k that would make their slopes the same would be 1


Related Questions

what number will make 3/4 x 7/8 = 7/8 x true?

Answers

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

If the side of square is 1/5 inches. Then what is the area of the square?​

Answers

Answer:

1/25

Step-by-step explanation:

1/5*1/5=1/25

because lenght times width equals area

10. The physician ordered 3.75 mg of Warfarin sodium. Available are Warfarin 7.5 mg scored
tablets. How many tablets will you give?​

Answers

3.75 Because 7.5-3.75 equals that

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​

Answers

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

I need the answer quick

Answers

-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

Find the slope between the
following points:
(11,-16) and (17,-9)

Answers

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

Solve for x in the diagram below

Answers

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]

How far up will a 15 meters ladder reach, if the foot of the later must be 9 meters from the base of the wall

Answers

Answer:

12

It is a common Right triangle side - 9-12-15. its the same as a 3-4-5 triangle

Answer: 12

Step-by-step explanation:

15 is the hypotenuse (c), and 9 is one side (a)

a^2+b^2=c^2

1. Find Values of Squared Numbers: 81+b^2=225

2. Subtract 81 from 225: b^2=144

3. Find the square root of each side: b=12

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?

Answers

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

Order these numbers from greatest to least: -4 , 1/4 , 0 , 4 , -3 1/2 , 7/4 , 5/4

Answers

Answer:-4, -3 1/2, 0, 1/4, 5/4, 7/4, 4

Step-by-step explanation: please give brainliest and thankyou

6/4 as a whole number or a mixed nimber

Answers

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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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

Answers

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

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.

Answers

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:

Which expression is equivalent to (4+3i)^2+(6-I)^2

Answers

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]

Evaluate the expression?????

Answers

so the answer is 15.6

Answer: 15.6

Step-by-step explanation:

Apply the distributive property to factor out the greatest common factor.
250-150x =

Answers

Answer:

[tex]50(5 - 3x)[/tex]

Step-by-step explanation:

The given expresion is

[tex]250 - 150x[/tex]

The greatest common factor is 50.

We rewrite using the distributive property to get;

[tex]50 \times 5- 50 \times 3x[/tex]We collect the highest common factor to obtain:

[tex]50(5 - 3x)[/tex]

Therefore when we factor out the greatest common factor from the given expresion we get;

[tex]50(5 - 3x)[/tex]

Final answer:

To apply the distributive property and factor out the greatest common factor from the expression 250-150x, we need to find the largest number that evenly divides into both numbers. In this case, the greatest common factor is 50, so the expression can be rewritten as 50(5 - 3x).

Explanation:

To factor out the greatest common factor from the expression 250-150x, we need to find the largest number that evenly divides into both 250 and 150. In this case, the greatest common factor is 50. We can rewrite the expression as 50(5 - 3x).

Learn more about Distributive Property here:

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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?

Answers

Answer:

$12 hourly

Step-by-step explanation:

120 ÷ 10 = 12

a number decreased by 7 is less than 4

Answers

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

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?

Answers

Answer:

I think it's probably 8$ Edit: 7.5$ i did the math wrong

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)

Answers

Answer:

Step-by-step explanation:

Identify the center and radius of each.

Answers

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

Five times the sum of a number and 6 equals 3

Answers

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

5(x+6)=3.
You need the sum first. So the number and 6 need to go in the parenthesis. Then put the 5 outside of the parentheses like the question asks. It says five times the sum so after the sum you need to multiply by 5.

please help with geometric mean!!

Answers

The exact value of y is [tex]4\sqrt{3}[/tex].

Solution:

The attached below shows how the formula is written.

Using geometric mean,

Total base length (p + q) = 8

q = 6

p = 8 – 6 = 2

Let us first find the height of the triangle.

[tex]h^2=pq[/tex]

[tex]h^2=2\times6[/tex]

[tex]h^2=12[/tex]

Taking square root on both sides,

[tex]h=\sqrt{12}[/tex]

Using Pythagoras theorem,

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

[tex]y^2=(\sqrt{12})^2+6^2[/tex]

[tex]y^2=12+36[/tex]

[tex]y^2=48[/tex]

[tex]y=4\sqrt{3}[/tex]

The exact value of y is [tex]4\sqrt{3}[/tex].


[tex] 8 \frac{7}{9} + 4 \frac{1}{8} [/tex]

Answers

Answer: 8 7/9 + 4 1/8 = 929 /72  = 12 65/72  ≅ 12.9027778

Step-by-step explanation:

Conversion a mixed number 8 7

9

to a improper fraction: 8 7/9 = 8 7

9

= 8 · 9 + 7

9

= 72 + 7

9

= 79

9

To find new numerator:

a) Multiply the whole number 8 by the denominator 9. Whole number 8 equally 8 * 9

9

= 72

9

b) Add the answer from previous step 72 to the numerator 7. New numerator is 72 + 7 = 79

c) Write previous answer (new numerator 79) over the denominator 9.

Eight and seven ninths is seventy-nine ninths

Conversion a mixed number 4 1

8

to a improper fraction: 4 1/8 = 4 1

8

= 4 · 8 + 1

8

= 32 + 1

8

= 33

8

To find new numerator:

a) Multiply the whole number 4 by the denominator 8. Whole number 4 equally 4 * 8

8

= 32

8

b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33

c) Write previous answer (new numerator 33) over the denominator 8.

Four and one eighth is thirty-three eighths

Add: 79

9

+ (33

8

) = 79

9

+ 33

8

= 79 · 8

9 · 8

+ 33 · 9

8 · 9

= 632

72

+ 297

72

= 632 + 297

72

= 929

72

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(9, 8) = 72. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 8 = 72. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - seventy-nine ninths plus thirty-three eighths = nine hundred twenty-nine seventy-seconds.

Answer: 12 65/72  

Step-by-step explanation:

1)  [tex]79/9+33/8[/tex]

Get your answer (as an improper fraction): [tex]929/72[/tex]

2) Turn [tex]929/72[/tex] into a mixed number and get 12 65/72

Jose is driving to Denver. Suppose that the remaining distance to drive (in miles) is a linear function of his driving time (in
minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below.
Jose has 48 miles remaining after 50 minutes of driving. How many miles were remaining after 34 minutes of driving?

Answers

Answer:

  63.2 miles

Step-by-step explanation:

The given slope and point can let us use the point-slope form of the equation for a line:

  y = m(x -x1) +y1

  y = -0.95(x -50) +48

We want to find the value of y for x=34.

  y = -0.95(34 -50) +48 = 63.2

Jose had 63.2 miles remaining after driving 34 minutes.

The length of rectangle is 7.1 cm and breadth 2.5 cm what is the area of rectangle

Answers

Step-by-step explanation:

[tex]Area \: of \: rectangle \\ = lenght \times breadth \\ = 7.1 \times 2.5 \\ = 17.75 \: {cm}^{2} \\ [/tex]

The number of applicants to a university last year was 11,450. This year, the number of applicants grew by 2%. How many applicants are there this year?

11,679
13,740
20,610
23,900

Answers

Answer:

11679

Step-by-step explanation:

Increased by 229

First you need to find the 2%

So to find the 2%

2/100 * 11450=229

Now add 11450+229= 11679

Answer:

11,679

Step-by-step explanation:

Start off making the 2% into a decimal so you can multiply it with the full amount of applications for the year before. 2% in decimal is .02 because you move the decimal twice to the left. Now that you have .02, multiply it by 11,450. (11,450)*(.02) which should be 279. Now you have to add the 279 to the 11,450 because they were admitted as well. (11,450+279)= 11,679

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?

Answers

The first option is correct

Answer:

Switch the x- and y-coordinates

Step-by-step explanation:

The probability of getting a 4- bedroom home with a open porch based off the table.

Answers

All you have to do is multiply 1/3 (the chance of getting a 4 bedroom home) times 1/2 (the chance of getting an open porch). The answer is a 1/6 chance, as you don’t have to do anything with the kitchens because the question doesn’t specify to.

Hope this helps!

the center of the circle is at (5, 5). what is the circumference? PLZ HELP!!

Answers

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:

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