Find the equation of the line which is perpendicular to the line.
(a) with equcation y=5x-4 and passes through (0,7)

Answers

Answer 1

Answer:

[tex]y = - \frac{1}{5} x + 7[/tex]

Step-by-step explanation:

Slope -intercept form:

y= mx +c, where m is the slope and c is the y- intercept.

Since the given equation is already in the slope-intercept form, we can identify its slope by looking at the coefficient of x.

Slope of given line= 5

The product of the gradients of two perpendicular lines is -1.

m(5)= -1

[tex]m = - \frac{1}{5} [/tex]

Substitute the value of m into the equation:

[tex]y = - \frac{1}{5} x + c[/tex]

Substitute a pair of coordinates to find the value of c.

when x= 0, y= 7,

[tex]7 = - \frac{1}{5} (0) + c[/tex]

c= 7

Thus, the equation of the line is y= -⅕x +7.


Related Questions

an object in geometry with no width, lengh or height is a(n):

Answers

Answer:

A point.

Step-by-step explanation:

An object in geometry that has width, length or height is simply a point. A point is yet just a dot.

Needing a little help

Answers

Answer: u=2.5

Explanation:
9(u-2)+1.5u=8.25
- Multiply the 9 into the u and the 2 in the parantheses
9u-18+1.5u=8.25
-combine like terms. The only like terms are 9u and 1.5u.
10.5u-18=8.25
-Add the 18 to both sides.
10.5u= 26.25
- divide both sides by 10.5 and it will leave you with u=2.5.

A biased 3-coloured spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times. If you spin this spinner 1000 times, how many times do you expect it to land on Red?

Answers

Answer:

83 spins

Step-by-step explanation:

Number of red spins = n

Number of orange spins = 8n

Number of yellow spins = 3n

Total number of trials = 240

Total number of spins :

(n + 8n + 3n) = 240

12n = 240

n = 240 / 12

n = 20

Number of red spins = 20

(1000/240) * n

4.1666666 * 20

= 83.333

= 83 spins

When each edge of a cube is increased by 50%, by what percent is the surface area of the cube increased?

Answers

Answer:

125 % increase

Step-by-step explanation:

assume a cube of side 10

then each side surface area = 100 * 6 = 600 units

now consider sides 15 (+50%)

each side = 225   ....  225 * 6 = 1350

(1350 - 600)/600  = 1.25 =  125 % increase

You have 80$ panted cost 29$ And shirts cost 12$. Mom told you to buy one pair of pants and use the rest of the money to buy shirts. Use this information to write and solve and inequality how many shirts can you buy

Answers

Answer: 4 Shirts

Step-by-step explanation:

Given

Person has [tex]\$80[/tex]

Pant costs [tex]\$29[/tex] and shirt costs [tex]\$12[/tex]

Suppose [tex]x\ \text{and}\ y[/tex] as number of pant and shirts

Spent money must be equal or less than the total money. The inequality becomes

[tex]\Rightarrow 80\geq29x+12y[/tex]

For 1 pair of pants that is, 1 pants

[tex]\Rightarrow 80\geq 29+12y\\\Rightarrow 51\geq 12y\\\Rightarrow 4.25\geq y[/tex]

That is maximum number of shirts that can be bought are 4.

Find the distance between the two points rounding to the nearest tenth (if necessary). ( − 8 , 6 ) and ( − 6 , 0 )

Answers

Answer:

[tex]\sqrt{40\\}[/tex], [tex]2\sqrt{10}[/tex], or 6.3 (rounded).

Step-by-step explanation:

Use the distance formula, [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2} \\x_1 is -8, y_1 is 6, x_2 is -6, y_2 is 0.[/tex]

I NEEDDDD D HELPPPPP!!!

Answers

Answer:

70 degrees

Step-by-step explanation:

there are multiple ways, as all the trigonometric functions are related.

let's try it this way :

consider the missing side to be the radius of a circle.

then 41 would be the cos value of the angle (multiplied by that radius, of course).

so, let's calculate the missing side per Pythagoras

c² = a² + b² = 113² + 41² = 12769 + 1681 = 14450

c = 120.21

and now

41 = cos(?) × 120.21

cos(?) = 41/120.21 = 0.341...

? = 70.0576... ≈ 70 degrees

Answer:

70°

Step-by-step explanation:

tangent θ = (opposite side / adjacent side)

tangent θ = (113 / 41)

θ = arctan (113 / 41)

θ = 70.0576°

*Note: "arctan" is the same as "inverse tangent"

**Note: "soh-cah-toa" (and "cho-sha-cao" for sec, csc, & cot) is an easy mnemonic device to remember the trig functions (sin, cos, & tan) and their relations to the sides of a given angle.

HELP ME ASAP PLEASEEEEEEEE

Answers

Answer:

5 : -1.5

10: -4

y =  1 -.5x

noticed the pattern of subtracting .5 .... then plugged in x = 4

and saw that -2 had to be combined with "1" to end up with a "-1"

Step-by-step explanation:

for 10 points Valerie set out to bicycle from TBLS to the beach, a distance of 10 miles. After going a short
while at 15 miles per hour, the bike developed a flat tire, and the trip had to be given up. The
walk back to TBLS was made at a dejected 3 miles per hour. The whole episode took 48
minutes. How many miles from TBLS did the flat occur?

Answers

Answer:

2 miles

Step-by-step explanation:

Given that :

Total distance = 10 miles

Distance = speed * time

Let distance from TBLS to flat Tyre spot = d

Time = distance / speed

Since the distance to and distance fro took a total of 48 minutes;

Hence ;

d/15 + d/3 = 48 minutes

48 minutes = 48/60 = 0.8 hours

d/15 + d/3 = 0.8

(d + 5d) / 15 = 0.8

d + 5d = 15 * 0.8

6d = 12

d = 12 / 6

d = 2 miles

Distance from TBLS to point bicycle had flat tyre is 2 miles

Someone, PLEASE HELP! ):

Answers

Answer:

i dont see anything

Step-by-step explanation:

Polygon has 18 sides!!

Ryan rented a truck for one day. There was a base fee of $16.99, and there was an additional charge of 74 cents for each mile driven. Ryan had to pay $133.17 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

157 miles

Step-by-step explanation:

total cost = flat fee + cost per mile * miles

133.17 = 16.99 + .74 * m

Subtract 16.99 from each side

116.18 = .74m

Divide each side by .74

116.18 / .74 = .74m/.74

157 = m

In Owen's class, there are 15 girls and 12 boys. Write the ratio of boys to girls.

Answers

Answer:

4       :  5

Step-by-step explanation:

boys : girls

12          15

Divide each by 3

12/3 :  15/3

4       :  5

Answer: 4:5

Step-by-step explanation:

To simplify the ratio 12:15, divide both numbers by the GCF of the 2 numbers (3). This gives you the simplified ratio, 4:5.

CANNNN SOMEONEEEEE HELPPPP MEEE OUTTTTT !!!!!

Answers

Answer:

sin X = 21/ 29

Step-by-step explanation:

Since this is a right triangle

sin X = opp side/ hypotenuse

sin X = 21/ 29

Answer:

[tex]\boxed{\sf sinX =\frac{21}{29}}[/tex]

Step-by-step explanation:

We need to find out the value of sinX using the given triangle . Here we can see that the sides of the triangle are 21 , 29 and 20.

We know that the ratio of sine is perpendicular to hypontenuse .

[tex]\sf\longrightarrow sin\theta =\dfrac{ perpendicular}{hypontenuse}[/tex]

Here we can see that the side opposite to angle X is 21 , therefore the perpendicular of the triangle is 21. And the side opposite to 90° angle is 29 . So it's the hypontenuse . On using the ratio of sine ,

[tex]\sf\longrightarrow sinX =\dfrac{ p}{h}=\dfrac{ZY}{ZX}[/tex]

Substitute the respective values ,

[tex]\sf\longrightarrow \boxed{\blue{\sf sin\ X =\dfrac{21}{29}}}[/tex]

Hence the required answer is 21/29 .

If ABCD is dilated by a factor of 2, the
coordinate of A' would be:

Answers

Answer: -5, -1

Step-by-step explanation:

Which expression is equivalent to 2(a+2b)-a-2b
o 3a+2b
o 3a-2b
o a-2b

Answers

Answer:

a -2b

Step-by-step explanation:

2(a+2b)-a-2b

Distribute

2a+4b -a-2b

Combine like terms

a -2b

The cars of a circular Ferris wheel at an amusement park are equally spaced about the wheel's circumference. They are numbered consecutively beginning with 1. The cars numbered 14 and 30 lie on opposite ends of a diameter. How many cars are on the Ferris wheel?

Answers

Answer:

32 cars

Step-by-step explanation:

we know that 14 and 30 lie on opposite sides of the ferris wheel, so we need to calculate how many cars are inbetween car number 14 and carn number 30. since each car is numbered starting from 1, we know that the cars do not skip any numbers. after counting, we know that there are 16 cars inbetween car number 14 and car number 30. since there are 2 sides of a circle we have to double our number by 2. so 16×2 is 32

Math step-by-step:

30-14=16

16×2=32

The speed of a toy car is 20 m/s. The time taken for a trip is 200seconds. Find the
distance covered in meter

Answers

Distance = time/ speed

Distance = 200 seconds / 20 m/s

Distance = 10 meters

Answer:

Distance:

[tex]{ \tt{distance = speed \times time}} \\ { \tt{ = 20 \times 200}} \\ { \tt{ = 4000 \: metres}}[/tex]

Mr. James asked his students that which of the following equations can be formed using the expression x = 5:
a)2 x + 3 = 13
b)3x + 2 = 13
c)x –5 =
1d)4x –9 = 21

Answers

Answer:

[tex]2x + 3 = 13 \\ 2 \times 5 + 3 = 15 \\ 10 + 13 = 15 \\ 23 = 15 \\ 23 - 15 = 8 \\ \\ 3x + 2 = 13 \\ 3 \times 5 + 2 = 13 \\ 15 + 2 = 13 \\ 17 - 13 \\ = 4 \\ \\ x - 5 = 0 \\ 5 - 5 = 0 \\ 0 = 0 \\ \\ 4x - 9 = 21 \\ 4 \times 5 - 9 = 21 \\ 20 - 9 = 21 \\ 21 - 11 \\ = 10[/tex]

Find the surface area and the volume of the prism.
10
26
18

Answers

Volume: 1320
Surface Area: 2160

Is the relationship shown by the data linear? If so, model the data with an equation. x y –7 5 –5 9 –3 13 –1 17

Answers

Given:

The table of values is:

x :     -7          -5         -3           -1

y :      5           9         13          17

To find:

Whether the given data is linear and then find the equation.

Solution:

The given data is linear if the slope and rate of change is constant.

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Using the slope formula. we get

[tex]\dfrac{9-5}{-5-(-7)}=2[/tex]

[tex]\dfrac{13-9}{-3-(-5)}=2[/tex]

[tex]\dfrac{17-13}{-1-(-3)}=2[/tex]

Since the rate of change is constant, i.e., 2, therefore the given data is linear.

The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-5=2(x-(-7))[/tex]

[tex]y-5=2(x+7)[/tex]

[tex]y-5=2x+14[/tex]

Adding 5 on both sides, we get

[tex]y-5+5=2x+14+5[/tex]

[tex]y=2x+19[/tex]

Therefore, the equation for the given data is [tex]y=2x+19[/tex].

plzzz helppp i need to pass this classs

Answers


D. X=130 but im not sure if this is correct

Answer:

C

Step-by-step explanation:

x + 40 + 100 + x=360. (sum of angles at a point)

2x+140=360

2x=360-140

2x=220

x=220/2

x=110⁰

PERE
Given: ZABC is a right angle and ZDEF is a right angle.
Prove: All right angles are congruent by showing that ZABC = ZDEF.
What are the missing reasons in the steps of the proof?
ZABC, ZDEF are
right angles
M2ABC = 90°
m2DEF = 90°
m2ABC = m_DEF
ZABC = ZDEF
Given
A
B
A:
B:
C:
Intro

Answers

Answers:

A) Definition of right anglesB) SubstitutionC) Definition of congruence

=========================================

Explanation:

A) The term "right angle" is another way of saying "90 degree angle". This is a definition. Think of a definition in a dictionary. B) The substitution property allows us to replace one thing for another, as long as the two things are equal. The transitive property works as a similar idea.C) If two angles have the same measure, then they are congruent. This is the definition of congruence (or one form of it).

In this exercise we have to use the knowledge of angles, in this way we can say that:

A) Right angles

B) Substitution

C) Congruence

So punctuating some necessary definitions we have that:

A) This alternative is a right angle, that is, an angle that has 90 degrees.

B) The substitution property allows us to replace one thing for another, as long as the two things are equal.

C) IIn this alternative, we are dealing with congruent angles, that is, angles that have the same measure, normally less than 90 degrees.

See more about angles at brainly.com/question/15767203

Kasey has three pieces of wood that measure 9 inches, 12 inches, and 21 inches. Can she make a right triangle
with the three pieces of wood (without cutting or overlapping)?

Answers

Answer: No

Step-by-step explanation:

Add 2 sides together. If the sum of greater than the length of the 3rd side for all 3 options it can form a right triangle if it doesn’t than it can’t:

9 + 12 = 21 which is not greater than the 3rd side length of 21 so this cannot form a right triangle.

The answer would be (no)

Please help me find this box guys I’m struggling

Answers

Answer:

(0,-9)

Step-by-step explanation:

To find the y-intercept, substitute x=0

y=(0)^2+4(0)-9

=-9

Here's a tip to help you find the y-intercept faster, it is usually the constant of the graph equation

Answer:

see explanation

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

The equation of the axis of symmetry which is also the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 4x - 9 ← is in standard form

with a = 1, b = 4 , then

x = - [tex]\frac{4}{2}[/tex] = - 2

x = - 2 is the equation of the axis of symmetry

Substitute x = - 2 into the equation for corresponding y- coordinate of vertex

y = (- 2)² + 4(- 2) - 9 = 4 - 8 - 9 = - 13

vertex = (- 2, - 13 )

To find the y- intercept let x = 0 and solve for y

y = 0² + 4(0) - 9 = 0 + 0 - 9 = - 9

y- intercept = (0, - 9)

From the standard form of the parabola

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

Here a = 1 , that is > 0

vertex (- 2, - 13 ) is a minimum

Match each cone's measures to its corresponding volume.

Answers

Answer:

base area=16π in² height=6 in ⇒ base area= πr²

16π²=π(r)²

r=4 in

v=1/3 ×π (4)²×(6)

v=32π in²

-------------

v=1/3 π(12/2)²×5

v=1/3π(31)×5=

v=60π in³

-------------

v=1/3 π×(25×4)=

v=100π/3 in³

OAmalOHopeO

Which of the following steps is involved in solving 3 x plus 8 equals 14 ?

A. 3 x plus 8 minus 8 equals 14

B. 3 x plus 8 equals 14 minus 8

C. 3 x plus 8 plus 8 equals 14 plus 8

D. 3 x plus 8 minus 8 equals 14 minus 8

Answers

Answer:

3 x plus 8 minus 8 equals 14 minus 8

Step-by-step explanation:

3x+8 = 14

Step 1 subtract 8 from each side

3x+8-8 = 14-8

Can someone help me with this math homework please!

Answers

Answer:

X1 = 2 Y1 = -5

Step-by-step explanation:

math simple slope

Enter the equation of the line in slope-intercept form.
Slope is 4, and (5,2) is on the line.
The equation of the line is y =

Answers

Answer:

y = 4x -18

Step-by-step explanation:

y-2 = 4(x-5)

y = 4x -20+2

y = 4x -18

Answer:

y = 4x-18

Step-by-step explanation:

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = 4x+b

Substitute the point in the equation and solve for b

2 = 4(5)+b

2 = 20+b

2-20 = b

-18 =b

y = 4x-18

Which shows one way
to determine the factors of x3 - 12x2 - 2x + 24 by grouping?

Answers

Answer:

[tex]x^3 - 12x^2 - 2x + 24[/tex]

[tex]x^2(x - 12) - 2(x -12)[/tex]

[tex](x - 12)(x^2 -2)[/tex]

Step-by-step explanation:

Answer:

[tex](x^2-2)(x-12)=0[/tex]

Step-by-step explanation:

Factoring by grouping is a way of determining the factors of a polynomial equation. One firsts groups terms by putting them in parenthesis. Then one will take a common factor out of the parenthesis. Finally, one will group the coefficients and the grouped terms respectively, thus rewriting the polynomial equation as the product of its factors.

One is given the following equation:

[tex]x^3-12x^2-2x+24=0[/tex]

Group the different terms in the equation:

[tex](x^3-12x^2)+(-2x+24)=0[/tex]

Factor, write a common factor that both terms in the parenthesis share, outside of the parenthesis.

[tex]x^2(x-12)-2(x-12)=0[/tex]

Factor the equation again. Group the like terms together, and the coefficients together.

[tex](x^2-2)(x-12)=0[/tex]

Given: `bar(DE)` and `bar(DF)` are midsegments of `Delta` ABC as shown. Prove: A midsegment of `Delta`ABC is half the length of the side of `Delta`ABC to which it is parallel. Match each statement to its corresponding reason. Scroll down to see all the choices. Drag the items on the left to the correct location on the right.

Answers

Answer:

here

Step-by-step explanation:

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