A line is parallel to the x-axis and passes through the point (-5,4)
What is the equation of that line, the slope of that line, and what would be the slope of a line perpendicular to that given line?

Answers

Answer 1

9514 1404 393

Answer:

y = 4slope: 0slope of perpendicular: undefined

Step-by-step explanation:

The x-axis is a horizontal line. As such, it has a slope of zero. The equation of a horizontal line is ...

  y = constant

__

For the line through (-5, 4), the constant must match the y-coordinate: 4. The equation is ...

  y = 4

As we said above, the slope of that horizontal line is zero.

The perpendicular line will be a vertical line of the form x=constant. The slope of a vertical line is undefined.


Related Questions

express rational number in standard form: -216/144​

Answers

Answer:

[tex] \frac{ - 3}{2} [/tex]

Step-by-step explanation:

[tex] \frac{ - 216}{144} \\ \\ = \frac{ - 3}{2} [/tex]

Hope it is helpful....

solve the system of equations by substitution y=1-x; -2x+y=4

Answers

Answer:

[tex]\displaystyle [-1, 2][/tex]

Step-by-step explanation:

[tex]\displaystyle -2x + [1 - x] = 4 → 4 = 1 - 3x → \frac{3}{3} = \frac{-3x}{3}; -1 = x, 2 = y \\ \\ [-1, 2][/tex]

I am joyous to assist you at any time.

What is the total number of common tangents that can be drawn to the circles?
A. 1
B. 0
C. 2
D. 3

Answers

Answer:

B. 0

Step-by-step explanation:

The circles do not intersect, tangents require intersection

Answer:

B.) 0

Step-by-step explanation:

I got it correct on founders edtell

simplify [(x-4)/(x-4)2]

Answers

X-4/2(X-4)
x-4 and x-4 gets canceled

Then later, we are left with 1 in the numerator and 2 in the denominator.

Hence the answer is,

1/2 OR 0.5

you buy 4 video tapes for 14.99 each and 3 dvds for 19.99 each find the total cost of the movies

Answers

Answer:

119.93

Step-by-step explanation:

I will assume the total of the cost of the movies will be the total.

the total  = 4*14.99 + 3*19.99

total = 119.93

help help help help help

Answers

Answer:

the answer is c

Step-by-step explanation:

x - 7, y + 6

- 1 - 7, 4 + 6

- 8, 10

i think the answer would be c (-8,10)

Please help me with this question:)

Answers

Answer:

Ada is correct.

Step-by-step explanation:

Problems with Naman:

Naman is supposed to follow PEMDAS, which is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Division

Addition

Subtraction

~

The mistake: Naman moved +6 to the left and added it to the 2 located on the left side of the expression. You cannot do that, as it breaks the law of PEMDAS. On the other hand, Ada did the correct thing, which was to distribute 2 to all terms within the parenthesis (as one term in the parenthesis has a variable, and the other is a constant, meaning that they cannot be combined). This leads to Naman not doing the rest of the question correct.

Next, Ada correctly combined the two constants, which resulted in 0. 0 means nothing, therefore the placeholder is not needed. Therefore, 8x is the final answer.

The answer if any body knows it

Answers

Answer:

[tex]A=\pi(336)[/tex]

[tex]A=1055.575[/tex]

Step-by-step explanation:

1. Approach

One is given a prism. The base of the prism is a quarter of a circle, the prism's length is also given. The easiest method to find the volume of the prism is to find the area of the quarter of the circle, then multiply the result by the length of the prism.

2. Find the area of the quarter circle

The following formula can be used to find the area of a circle,

[tex]A_c=(\pi)(r^2)[/tex]

Since one is trying to find the area of a quarter of a circle, one must multiply this formula by ([tex]\frac{1}{4}[/tex]). Please note that the parameter (r) represents the radius of the circle or the distance from the center of the circle to the circumference or outer edge of the circle. The parameter ([tex]\pi[/tex]) represents the number ([tex]3.1415...[/tex]).

[tex]A_c=\frac{1}{4}(\pi)(r^2)[/tex]

Substitute the given values into the formula and simplify to evaluate,

[tex]A_c=\frac{1}{4}(\pi)(r^2)[/tex]

[tex]A_c=\frac{1}{4}(\pi)((8)^2)[/tex]

[tex]A_c=\frac{1}{4}(\pi)(64)[/tex]

[tex]A_c=(\pi)(16)[/tex]

[tex]A_c\approx 50.2655[/tex]

3. Find the volume of the prism

Now multiply the area of the quarter circle by the length of the prism to find the volume of the prism. Note that the parameter (l) represents the length of the prism,

[tex]A=A_c(l)[/tex]

Substitute and simplify to evaluate,

[tex]A=(\pi)(16)(21)[/tex]

[tex]A=\pi(336)[/tex]

[tex]A=1055.575[/tex]

Triangle ABC is similar to triangle PQR, as shown below:

Two similar triangles ABC and PQR are shown. Triangle ABC has sides AB equals c, BC equals a, and AC equals b. Triangle PQR has sides PQ equals r, QR equals p, and PR equals q. Angle CAB is congruent to angle RPQ. Angle ABC is congruent to angle RQP. Angle ACB is congruent to angle QRP.

Which equation is correct?

q over c is equal to r over b
c over p is equal to b over a
c over a is equal to q over r
q over b is equal to r over c

Answers

Answer:

q/b = r/c

Step-by-step explanation:

We can determine which equation is correct by looking at the similar angles

A ~ P and B ~ Q so the side length that is between these angles would be proportional which are :

r/c

Next up

C ~ R and again B ~ Q and the side length that is between these angles:

q/b

so the answer is

q/b = r/c as given in last option

Answer: a/b=r/c

Step-by-step explanation: i did the

To shape service similar create and solve a proportion to find the value of X then find the measure of the unknown side

Answers

Answer:

x = 10

6x - 6 = 54

Step-by-step explanation:

The hypotenuse of both triangles are 63 and 6x - 6; the second longest sides are 49 (greater than 35) and 42 (greater than 30).

So our proportion:

63/(6x-6) = 49/42

Cross multiply

63*42 = 49*(6x-6)

2646 = 294x-294

2940 = 294x

x = 10

Double-check:

63/(6*10 - 6) = 49/42

63/(60 - 6) = 49/42

63/54 = 49/42

7/6 = 7/6

6x - 6 = 6(10) - 6 = 60 - 6 = 54

Determine the amplitude of the function y=2 cos x from the graph shown below:
A. 1
B. 2
C. 3
D. 4

Answers

Answer:

B

Step-by-step explanation:

[tex] \frac{2 - ( - 2)}{2} = 2[/tex]

maximum distance minus the minimum distance then divide everything by 2

:)

A tire sale advertised 20% off on top-grade belted tires. If the list price for a particular tire is $80, how much would you have to pay for a set of 4 new tires?
(A) $320
(B) $64
(C) $78.40
(D) $256
(E) $309.60

Answers

Answer:

D. 256

80 times 4

320 times .20

320-64

(B) $64

80 Times 4

320 Times 20

The answer is $64

X+3(3x-7)-2.9=5.2 need help ASAP

Answers

Answer:

X+3(3x-7)=5.2+2.9

x+9x-21=8.1

10x=8.1+21

10x=29.1

x=2.91

(a+b+c)^2 - a^2+b^2..................

Answers

Answer:

[tex]2b^2 + c^2 + 2ab + 2ac + 2bc[/tex]

Step-by-step explanation:

Whenever you have a parentheses to a power of a number you have to make it the parentheses times itself, so (a+b+c)^2 becomes (a+b+c)(a+b+c), where you then multiply a by a, a by b, a by c, b by a, b by b, b by c, and so on and then add all those numbers up. If you do that you would get a^2 + ab + ac + ab + b^2 + bc + ac + bc + c^2, where you then add them up to get a^2 + b^2 + c^2 + 2ab + 2ac + 2bc. Since you have - a^2 after this, you cancel out the a^2, and finally, you have + b^2 so you add b^2 to it and you get a final answer of 2b^2 + c^2 + 2ab + 2ac + 2bc.

Which numbers are a distance of 3.5 units from −4 on a number line?

A number line with increments of .5 with a range of 0 to negative 7.5

Select the two correct answers.


−7

−7.5

−6.5

−4.5

−3.5

−0.5

(help)

Answers

To be 3.5 units from -4, you either need to add or subtract 3.5 from -4.

-4 - 3.5 = -7.5

-4 + 3.5 = -0.5

Find the value of x .

Answers

Answer:

10

Step-by-step explanation:

By using intersecting chord theorem:

NH.HT=MH.HY

(x+20)*8=12*20

x+20=12*20/8

x+20=240/8

x+20=30

x=30-20

x=10

Find the sum: -7.5 + (-7.6)
Help me pls someone!!

Answers

Answer:

-15.1

Step-by-step explanation:

Two negative numbers add the same way as positive numbers, so it is -(7.5 + 7.6) or -15.1.

Step by step please (variable expression)

Answers

Answer:

139

Step-by-step explanation:

Substitute x for 15.

9(15)+4

Then multiply:

135+4

And then add:

139

If f(x)= 3^x, prove that f(x) + f (x + 1)= 4 f (x) (3 marks)

Answers

Answer:

4 f(x)

Step-by-step explanation:

step by step explainantion is in picture below

write each fraction number as a decimal write each fraction number as a decimal -7 8/45

Answers

[tex]\\ \sf\longmapsto -7\dfrac{8}{45}[/tex]

[tex]\\ \sf\longmapsto \dfrac{45(-7)+8}{45}[/tex]

[tex]\\ \sf\longmapsto \dfrac{315+8}{45}[/tex]

[tex]\\ \sf\longmapsto \dfrac{323}{45}[/tex]

[tex]\\ \sf\longmapsto 7.1[/tex]

Two numbers are said to be -------- If they do not have common factor other than 1.

Answers

When two numbers have no common factors other than 1. In other words there is no value that you could divide them both by exactly (without any remainder). Relatively Prime is also called "coprime" or "mutually prime".

I think this help you Now thank you

The answer is Co-prime

Hope It Help

In the diagram below BD is parellel to XY what is the value of y ?

Answers

Answer:

C

Step-by-step explanation:

y and 67 are alternate exterior angles and are congruent , then

y = 67° → C

Can someone give me the answer.

Answers

Answer:

1 inch

Step-by-step explanation:

Basically cause both b and c tend to form an equidistant triangle which makes them have the same distance

is the third root of 1/8 rational or not rational?

Answers

9514 1404 393

Answer:

  rational

Step-by-step explanation:

  [tex]\sqrt[3]{\dfrac{1}{8}}=\dfrac{1}{\sqrt[3]{2^3}}=\dfrac{1}{2}\qquad\text{a rational number}[/tex]

23° is equal to
1
23
01
23

Answers

Step-by-step explanation:

I am sure there is something missing or horribly mistyped.

if you really meant 23⁰, then that is 1.

can someone help me with this please​

Answers

NOW FROM THE TOP MAKE IT DROP, THATSA N WAP WAP WAP.

0.582 times 10 what is value of the 2​

Answers

Answer:

5.82

Step-by-step explanation:

0.582 x 10

=> Shift the decimal place by 1

=> 5.82

The required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.

To determine the value of 2 in the product of 0.582 times 10.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
According to the question,
Product = 10 * 0.582
Product = 5.82,
Where 2 is located at the thousandth place,
So, the value of 2 in 5.82 is 0.01 times of 2.

Thus, the required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2


PLEASE HELP I WIL, GIVE BRAINLIST

Answers

I believe the answer is b.

Answer:

B There should be lines drawn through the inner vertices as well

Step-by-step explanation:

The answer is B There should be lines drawn throu the inner verticesas well Because

those red lines are from inner vertices

Compare negative square root of 7 and -3.12345

Answers

Answer: Square root of negative 7 is greater than -3.12345

Step-by-step explanation: Since the square root of -7= 2.64575131 i (A positive number) Then it's greater, since the positive number is always greater than the negative numbers, because the negative numbers are further below zero than the positive number, if there is a number below the zero and a number above the zero, the one above the zero is greater,  because it's a positive number, the one below 0 is negative.

Solve the proportion below.
90/x=3/4
x =
O A. 91
B. 120
C. 150
O D. 99

Answers

Answer:

B) 120

Step-by-step explanation:

Initial problem: 90/x = 3/4

Cross multiply to get:

90*4 = 3x

360 = 3x

x = 120

Check (optional):

90/120 = 3/4

(simplify):

3/4 = 3/4 so it is correct

If you're confused about any of these steps, just let me know and I'll try to help!

The value of x would be B. 120

To solve the proportion 90/x = 3/4, we can use cross-multiplication. Cross-multiplication involves multiplying the numerator of the first fraction (90) with the denominator of the second fraction (4), and multiplying the numerator of the second fraction (3) with the denominator of the first fraction (x).

So, the equation becomes:

90 * 4 = 3 * x

Simplifying:

360 = 3x

Now we divide both sides of the equation by 3:

360/3 = 3x/3

120 = x

Therefore, x = 120.

The correct answer is option B. 120.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ6

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