Which line has a slope of -2 and y-intercept of 3

Answer:

x = 27.6907 units

Step-by-step explanation:

cos (62) = 13/x

x cos (62) =13

13 / cos(62)=x

x is 27.6907 units

Answer:

61.2

Step-by-step explanation:

base=6

height=10

Area of parellelogram=base x height

=6x 10.2

=61.2 sq.ft

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Answer:

[tex]30[/tex]; Obtuse, isosceles triangle OR "[tex]B[/tex]"

Step-by-step explanation:

If you replace the [tex]z^o[/tex] variable with [tex]30^o[/tex] on both angles.

The angles will be:

[tex]30^o[/tex]

[tex]120^o[/tex] ([tex]4(30)=120^o[/tex])

[tex]30^o[/tex]

This angle is isosceles (two sides are equal). It is obtuse (there is one angle that is greater than [tex]90^o[/tex]).

Answer:

1 picnic table : 9 benches

Step-by-step explanation:

You just simplify the equation down to its simplest form, so since they both have the gcf of 6, you divided both sides by 6, which results in the answer above.

Answer:

So, after 6 months, they both have the same number of coins.  

Step-by-step explanation:

Jack has 56 coins

Jill has 80 coins

Jack collect 12 coins per month

Jill collect 8 coins per month

Let after m months, they both have the same coin.

56 + 12 m = 80 + 8 m

12 m - 8 m = 80  - 56

4 m = 24

m = 6

So, after 6 months, they both have the same number of coins.  

Answer:

B

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Exterior angles thm:

8x - 10 + 5x - 12 = 134

13x - 22 = 134

13x = 134 + 22

13x = 156

x = 12

Answer:

D. –10

Step-by-step explanation:

Given equation:

y = 3x – 1

what is the value of y when x equals –3?

Substitute x = -3 into the equation to find y

y = 3x – 1

= 3(-3) - 1

= -9 - 1

= -10

y = -10

The correct answer is D. –10

Answer:

D).

Step-by-step explanation:

I took the test.

Answer:

The coefficient is 7

Step-by-step explanation:

The coefficient of an algebraic expression is the number that is being multiplied by a variable or multiple variables. In this case, 7 is being multiplied by x and y, so 7 is the coefficient.

Answer:

u need to provide the statement

Step-by-step explanation:

Answer:

13/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

HOPE IT HELPS MUCH

Answer:

B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.

Step-by-step explanation:

The equation that models the movement of the object is:

Where,

t: time

a: acceleration due to gravity

v0: initial speed

h0: initial height

Suppose that the object falls with zero initial velocity and from a height of 38 feet.

The equation that models the problem is:

Answer:

If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

The center line in a box plot represents the median

Answer:

02

Step-by-step explanation:

Answer:

Input Value = 02

Step-by-step explanation:

2 multiplied by 4 is 8.

You could also divide 8 by 4 to get 2 to check your work.

Answer:

4

Step-by-step explanation:

3 + 3.4 = 6.4

which is greater than 4

the sum of the 2 smallest sides have to be greater than the largest side

Answer:

(4,1);(1,4)

Step-by-step explanation:

The point on the parabolic equation y = -x² + 4x + 1 and line y = -x + 5 intersect is P ( 4 , 1 ) and Q ( 6 , -1)

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the parabolic equation be y = -x² + 4x + 1

Let the equation of line be y = -x + 5

Now , To find the points of intersection between the parabola y = -x² + 4x + 1 and the line y = -x + 5, we need to set the two equations equal to each other and solve for x and y simultaneously.

Setting y = -x² + 4x + 1 equal to y = -x + 5, we get:

-x² + 4x + 1 = -x + 5

Rearranging the equation, we get a quadratic equation in standard form:

-x² + 4x + x - 1 - 5 = 0

-x² + 5x - 6 = 0

Factoring the quadratic equation, we get:

-(x - 1)(x - 6) = 0

Setting each factor equal to zero and solving for x, we get two potential values for x:

x - 1 = 0 or x - 6 = 0

x = 1 or x = 6

Now, substituting the values of x back into the equation y = -x + 5 to find the corresponding y-values, we get:

For x = 1:

y = -1 + 5

y = 4

So, one point of intersection is (1, 4)

For x = 6:

y = -6 + 5

y = -1

So, the other point of intersection is (6, -1).

Hence , the point of intersection is P ( 4 , 1 ) and Q ( 6 , -1)

To learn more about parabola click :

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Answer:

Hello! answer: 45

Step-by-step explanation:

90 + 45 + 45 = 180 therefore z = 45 hope that helps!

Hi there!  

»»————-　★　————-««

I believe your answer is:  

45°

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Missing Angle:}}\\\\\rightarrow90 + 45 + x = 180\\\\\rightarrow 135 + x = 180\\\\\rightarrow 135-135 + x = 180 - 135\\\\\rightarrow \boxed{x = 45}\\\\\text{Therefore:}\\\\\measuredangle Z = 45$^{\circ}$[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

2

Step-by-step explanation:

x + 1/x = 2

x + 1 = 2x

x = 1

x³ + 1/x³

1³ + 1/1³.

1 + 1/1 = 1 + 1 = 2

Answer:

Numbner of plant in field = 2,020

Cost of planting trees = R.s 151,500

Step-by-step explanation:

GIven:

Side of square field = 45 m

Area of well = 5 square meter

1 plant = 1 squre meter

Cost per tree = R.s 75

Find:

Numbner of plant in field

Cost of planting trees

Computtaion:

Area of planting trees = Area of filed - Area of well

Area of planting trees = [45 x 45] - 5

Area of planting trees = 2,025 - 5

Area of planting trees = 2,020 squre field

Numbner of plant in field = Area of planting trees /  1 squre meter

Numbner of plant in field = 2,020

Cost of planting trees = 75 x Numbner of plant in field

Cost of planting trees = 75 x 2,020

Cost of planting trees = R.s 151,500

Answer:

C

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos24° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] → C

Note

sin24° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{10}[/tex] ( which does not include x )

tan24° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{x}[/tex] ≠ [tex]\frac{x}{4}[/tex]

Answer:

a

Step-by-step explanation:

Answer: Choice A)  

y = -4x+1

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

Explanation:

The general format of a linear equation can be written as y = mx+b

m = slope

b = y intercept

The steepest slope is the value of m that is furthest away from zero. If m > 0, then we're looking for the largest value of m or value to the right of 0. If m < 0, then we're trying to get as left as possible.

Of the choices we have, choice A has the m value furthest from 0. If you want, you can make each slope positive and then compare to see which slope is largest.

Answer:

Hi there user! I'll help you!

96 should be the correct answer!

Step-by-step explanation:

4 x 3 = 12

4 x 7 = 28

5 x 7 = 35

3 x 7 = 21

12 + 28 + 35 + 21 = 96

Answer:

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

Answer;

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

Answer:

SAS

Step-by-step explanation:

One of the postulates is called SAS and it states that if two triangles have 2 sides with the same length and the angles between the two sides are the same then the two triangles are congruent. This is exactly what we see on the diagram shown in the question, therefore the correct postulate is SAS

Answer:

Distance of first boat = 8 meter

Distance of second boat = 13.87 meter (Approx.)

Step-by-step explanation:

Given:

Height of cliff = 8 meter

Angle of depression respectively = 45° and 30°

Find:

Distance of boats

Computation:

Tanθ = Perpendicular / Base

Tan45 = 8 / Distance of first boat

1 = 8 / Distance of first boat

Distance of first boat = 8 meter

Tan30 = 8 / Distance of second boat

0.577 = 8 / Distance of second boat

Distance of second boat = 8 / 0.577

Distance of second boat = 13.8648

Distance of second boat = 13.87 meter (Approx.)

Answer:

f(2)+g(3) = 5

Step-by-step explanation:

Given that,

f(x) = x² + 2

g(x) = 2-x

We need to find the value of f(2)+g(3).

f(2) = 2² + 2 = 6

g(3) = 2 – 3 = -1

So,

f(2)+g(3) = 6+(-1)

= 5

Hence, the value of the given expression is 5.

Answer:

0.25

Step-by-step explanation:

t/4+16=17

t=(17-16)/4

=0.25

Answer:

The answer would be 20 mi

Step-by-step explanation:

a^2+b^2=c^2

a^2=144

b^2=256

C^2=400

Then you find the square root of ABC to find that C is 20