What is the slope of the line? What is the y-intercept of the line? y = 5/4x - 3

Answer:

D) 4.7

Step-by-step explanation:

this perpendicular connection with the circle center cuts this intersecting line in half, which is therefore on both sides of x 6.5 long.

I assume 16 is the diameter, so the radius is 8.

therefore, x is one side of the right-angled triangle of

radius

x

half of the intersecting line

Pythagoras

8² = x² + (6.5)²

64 = x² + 42.25

21.75 = x²

x = 4.7

Answer:

y axis then translate x+1,y+1

[tex]( {9x}^{2} - 4)( {9x}^{2} + 4) \\ (3x - 2)(3x + 2)( {9x}^{2} + 4)[/tex]

Answer:

The actual price of the article was Rs. 1200.

Step-by-step explanation:

mp (marked price)

ap (actual price)

[tex]mp = 1380[/tex]

[tex]mp = ap + 15\%(ap)[/tex]

[tex]1 380 = ap + \frac{15}{100} ap[/tex]

[tex]1380 = \frac{100}{100} ap + \frac{15}{100} ap[/tex]

[tex]1380 = \frac{115}{100} ap[/tex]

[tex]1380 \div \frac{115}{100} = ap[/tex]

[tex]1380 \times \frac{100}{115} = ap[/tex]

[tex] \frac{138000}{115} = ap[/tex]

[tex]1200 = ap[/tex]

The actual price of the article is given by the equation A = $ 1,200

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the actual price of the article be A

Now , the equation will be

The marked price of the article be = $ 1380

The percentage of increase from the actual price = 15 %

So , the equation is

The actual price + percentage of increase from the actual price = 1380

Substituting the values in the equation , we get

A + ( 15/100 )A = 1380   be equation (1)

( 115/100 ) A = 1380

Multiply by 100 on both sides of the equation , we get

115A = 138000

Divide by 115 on both sides of the equation , we get

A = $ 1200

Therefore , the value of A is $ 1200

Hence , the actual price of the article is $ 1200

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Answer:

y=-2x+12

Step-by-step explanation:

This is an equation in slope-intercept form:

y=mx+b (where m is the slope and b is the y-intercept)

We are given the slope, -2.

y=-2x+b

We plug in the values (5,2):

2=(-2)*5+b

2=-10+b

b=12

The equation is:

y=-2x+12

Answer:

Slope = 4

Step-by-step explanation:

The slope of a linear equation can be calculated as;

m = y2-y1/x2-x1

What we have to do here is to select any two points ;

(x1,y1) = (3,8)

(x2,y2) = (6,20)

m = (20-8)/(6-3) = 12/3 = 4

Answer: Using the formula

V=πr2h

3

Solving for h;

h=3V

πr2=3·308

π·72≈6.00241cm

Step-by-step explanation:

Answer:

.324 or 18.9 degrees

Step-by-step explanation:

rule is

sine equals opposite over hypotenuse,

cosine equals adjacent over hypotenuse, and

tangent equals opposite over adjacent

OR

soh cah toa

sine = soh = 12/37 = .324

arcsin(.324) or sin^-1(.324) in DEGREES not radians =

18.9 degrees

Answer:

(11√42)/2

Step-by-step explanation:

Thanks to the given information we can say that the smaller leg of the left triangle is

(11√7)/2

while the other leg is

11/2 √7 * √3 = 11/2 √21

the triangle on the right has two congruent legs. For the Pythagorean theorem

x^2 = 2 (11/2 √21)^2

x^2 = 2  * 121/4 * 21

x^2 = 2541 / 2

x = √11^2 * 3 * 7/√2

x = 11√21/√2

x = (11√42)/2

Answer:

X = 88 degrees

Step-by-step explanation:

Because its an isosceles triangle the two top angles are 46.

46 + 46 = 98

then you take the degree of the triangle 180 and subtract 98 from it to get 88 degrees

Answer:

(b) [tex]x \ge -3[/tex]

Step-by-step explanation:

Given

[tex]g(x) = \sqrt{x + 3}[/tex]

Required

The domain

For [tex]g(x) = \sqrt{x + 3}[/tex] to be defined, the following must be true

[tex]\sqrt{x + 3} \ge 0[/tex]

Square both sides

[tex]x + 3 \ge 0[/tex]

Subtract 3 from both sides

[tex]x \ge -3[/tex]

Hence, the domain is:

(b) [tex]x \ge -3[/tex]

Answer:

I think yes

Step-by-step explanation:

12/4=3

36/12=3

-6/-2=3

and so on

22224446668880÷107=207705109054.19

Answer:

[tex]107x = 22224446668880 \\ x = \frac{22224446668880}{107} \\ x = 0.0207705109[/tex]

Answer:

34.4

Step-by-step explanation:

Using Triangle Sum Theory, you see that the triangles are similar. They have the same angle measurements. That means their corresponding sides are proportional.

[tex]\frac{MN}{NO}[/tex] = [tex]\frac{PQ}{QR}[/tex]

[tex]\frac{14}{11}[/tex] = [tex]\frac{PQ}{27}[/tex]

Cross multiply

14(27) = 11(PQ)

378 = 11(PQ)

[tex]\frac{378}{11}[/tex] = PQ

PQ = 34.4

Answer:

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

Obejctive: Real Wolrd Algebra.

X represent number of pound peaches sold and Y represent the total cost of the peaches. We can represent this as

[tex]y = 2x[/tex]

If someone sell something, they cant get negative profit from it, and if no one buy it, it doesnt mean that it will decrease the seller profit.

Using that knowledge, let go through each answer.

The first one is wrong, Real Numbers include negative numbers and you can't negatively sell something so that means you cant lose profit for not selling something( In some instances, you can but for this sake of the problem, you cant).

The second one is right It is possible that you dont sell nothing and gain no money from it. So y and xcan be zero. it also possible you sell something and get money from it.

The third one is wrong, it is possible that you sell something and get profit from it.

The fourth one is wrong, x can be any real number as long its greater than zero. Y can be any real number as long as it greater than zero, but it doesnt have to be a interger( counting number). What if you sell 1.3 pounds of peaches, you will get 2.6

9514 1404 393

Answer:

Step-by-step explanation:

1. The parentheses are gone and the factor outside parentheses has multiplied each term inside parentheses. The distributive property says you can do that.

__

2. 12+2 has been replaced by 14, and 2-20 has been replaced by -18. This is the result when you combine like terms.

__

3. 3x has disappeared from the left side, and the x-term on the right has been reduced by 3x from 5x to 2x. This is the result of subtracting 3x from both sides of the equation. The subtraction property of equality says you can do that. (Note that subtracting 3x is the same as adding -3x.)

__

4. -18 has disappeared from the right side, and the constant on the left has been increased by 18 from 14 to 32. This is the result of adding 18 to both sides of the equation. The addition property of equality says you can do that.

__

5. Both sides of the equation are 1/2 of what they previously were. This is the result of dividing both sides of the equation by 2. The division property of equality says you can do that (provided the divisor is not zero.)

Step-by-step explanation:

It is so simple Hope u understand

Answer:

Step-by-step explanation:

Sum = -5

Product = 2*(-3) = -6

Factors = -6 , 1   {-6 + 1 = -5  & -6 *1 = -6}

2m² - 5m -3 = 0

2m² - 6m + m -3 = 0

2m(m - 3) + (m -3) = 0

(m -3)(2m + 1) = 0

m - 3 =  0    or 2m + 1 = 0

    m = 3      or 2m = -1

                          m = -1/2

Ans: m = 3 , (-1/2)

Answer:

89 minutes

Step-by-step explanation:

Let

x = number of minutes

Total cost = fixed cost + variable cost

Total cost = $12.79

Fixed cost = $3

Variable cost = cost per minutes * number of minutes

= 0.11 * x

= 0.11x

Total cost = fixed cost + variable cost

12.79 = 3 + 0.11x

12.79 - 3 = 0.11x

9.79 = 0.11x

x = 9.79/0.11

x = 89

x = number of minutes = 89 minutes

Hello,

[tex](211)_x=(10110)_2\\\\2*x^2+x+1=22\\\\2x^2+x-21=0\\\Delta=1+4*2*21=169=13^2\\x=\dfrac{-1+13}{4}= 3\\or\\x=\dfrac{-1-13}{4}\ may\ not\ be\ negative\\\\[/tex]

x=3

Answer:

D) 1:1

Step-by-step explanation:

Step-by-step explanation:

if that's x^2+25

they can be factored to x+5

because the factor of x^2 is x cause x multiplied by x is x^2 and the factor of 25 is 5 cause 5×5 is 25

Answer:

A.

Step-by-step explanation:

The equation of the new function is g(x) = f(x-10) = (x -10)²

A graph can be defined as a pictorial representation or a diagram that represents data or values.

While adding to the input of a function moves the graph left, and subtracting from the input of a function moves the graph right.

If the quadratic parent function, f(x) = x² moves right 10 units,

Hence, the equation of the new function is g(x) = f(x-10) = (x -10)²

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Step-by-step explanation:

oh oh can you capture a picture of it because you don't understand

Answer: 72%

Step-by-step explanation:

Set Jamal's original ring price = x

[tex]x - x(0.2) = 2640\\x(1-0.2)=2640\\x(0.8)=2640\\x=\frac{2640}{0.8}=3300[/tex]

Jamal's original ring price = $3300

Set Naomi's discount = y

[tex]3300-3300(y)=924\\=3300(1-y)=924\\1-y=\frac{924}{3300} \\-y=\frac{924}{3300} -1\\y=1-\frac{924}{3300}=1-0.28=0.72[/tex]

Naomi's discount is 0.72 = 72%

Answer:

X would be 63.9

Hope it helps

Step-by-step explanation:

The value of the variable 'x' using the cosine formula will be 63.9 units.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The value of 'x' is given by the cosine of the angle ∠QSR. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have

cos 35° = x / 78

x = 63.9

The value of the variable 'x' using the cosine formula will be 63.9 units.

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Answer:

a. 18

Step-by-step explanation:

AB+BC = AC

x + x = 36

2x = 36

x = 36/2

x = 18

Answer:

x = -4 ±3

x = -7,-1

Step-by-step explanation:

x^2 + 8x     = -7

1/2 B ^ 2 = 16

x^2 + 8x  + 16    = 16 -7

(x + 4) ^2 = 9

x + 4 = ±3

x = -4 ±3

x = -7,-1