Which properties justify the steps taken to solve the system?

{3x−2y=10
{4x−3y=14

Drag and drop the answers into the boxes to match each step.

Answer: x=75

Step-by-step explanation:

Step-by-step explanation:

The term 1200 represents the 11

Answer:

8.03

Step-by-step explanation:

43 min = 3.75 miles

90 min = X

99 min×3.75÷42=8.03

Answer:

5.3

Step-by-step explanation:

You use the Pythagoras theorem which is a^2+b^2=c^2.

Since you're solving for a side length that's not the hypotenuse you will manipulate the equation to c^2-a^2=b^2. From here you just plug in numbers.

8^2 - 6^2 = b^2

64 - 36 = b^2

b = sqrt(28)

b = 5.2915.... = 5.3

Answer:

D

Step-by-step explanation:

you have it right :)

The function with the coordinates (1, 8) and (0, 2) is [tex]f(x)=2\times(4)^x[/tex]. Therefore, option D is the correct answer.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

From the given graph, the coordinate points are (1, 8) and (0, 2)

Using the formula [tex]y=a\times(b)^x[/tex]

Where, a is x-intercept

Substitute, a=2 and (x, y)=(1, 8) in [tex]y=a\times(b)^x[/tex], we get

[tex]8=2\times(b)^1[/tex]

⇒ b=4

Substitute a=2 and b=4 in [tex]y=a\times(b)^x[/tex], we get

[tex]y=2\times(4)^x[/tex]

⇒ [tex]f(x)=2\times(4)^x[/tex]

Therefore, the function for the given coordinates is [tex]f(x)=2\times(4)^x[/tex].

Learn more about the exponential function here:

brainly.com/question/11487261.

#SPJ5

Answer:

2a+c ( not sure if this is what you are looking for!)

Step-by-step explanation:

Answer:

La altura de la catedral es de 15119,97 m.

Step-by-step explanation:

Para una respuesta única, la pregunta se formula de la siguiente manera:

Una catedral se encuentra en la cima de una colina. Cuando se ve la parte superior de su torre desde la parte inferior de la colina, el ángulo de elevación es de 48 °. Cuando se ve desde un punto a 6096 m del pie del promontorio, el ángulo de elevación es de 41 °, la pendiente de la colina forma un ángulo de 32 ° Se aproxima a la altura de la catedral

Deje que la base de la colina = C

El punto 6096 m de la base = A

La cima de la catedral = B

∴ ∠A = 41 °

∠C = 180-48 = 132 °

∠B = 180 - (41 + 132) = 7 °

[tex]\dfrac{6096}{sin7} = \dfrac{CB}{sin41}[/tex]

∴ CB = 32816.59 m.

Punto E = Base de la catedral.

Punto D = Punto debajo de la base de la catedral al nivel del pie de la colina

Por lo tanto, la altura de la catedral = BE

 ∡ABE = 90-41 = 49 °

∡CED = 90-32 = 58 °

∴ ∡CEB = 180 - 58 ° = 122 °

De la regla seno tenemos;

[tex]\dfrac{CB}{sin(\angle CEB)} = \dfrac{BE}{sin(\angle ECB)}[/tex]

∠EBA = 90 - 48 = 42°

∠EBC = 42 - 7 = 35°

∠ECB = 180 - 35 - 122 = 23°

[tex]\therefore \dfrac{32816.59 }{sin(122)} = \dfrac{BE}{sin(23)}[/tex]

[tex]BE = \dfrac{32816.59 }{sin(122)} \times sin(23) = 15119.97 \ m[/tex]

La altura de la catedral = 15119,97 m.

Answer: 15cm.

Step-by-step explanation:

Hi, to answer this question we have to multiply the real height of the kite (1.5m) by the scale factor of the drawing (10):

Mathematically speaking:

Since 1 m = 10 cm

So:

1.5 m x 10 cm/m = 15 cm

The kite is 15 centimeters tall in the drawing.

Feel free to ask for more if needed or if you did not understand something.

Answer:

Step-by-step explanation:

A triangle that has one of his angles to be 90° is known as a right angled triangle. The triangle has one right angle and two acute angles. The three sides of the triangle are namely the hypotenuse (which is the longest side), the opposite and the adjacent. One of the side of the triangle can be written in terms of the other using the theorem called pythagoras. According to the theorem;

[tex]hyp^{2} = opp^{2} + adj^{2} \\[/tex]

Based on the values of the sides given

hypotenuse = 5cm (being the longest side)

[tex]hyp^{2} = 3^{2}+4^{2} \\ hyp^{2} = 25\\hyp = \sqrt{25}\\ hyp = 5cm[/tex]

This shows that the triangle is a right angled triangle as described by Martin since we are able to express one side in terms of the other.

Answer:

98,100,A

Plz mark me brainliest.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Easy, I just memorize these :)

1/2 = 0.5

1/3 = 0.33

1/4 = 0.25

1/5 = 0.2

2/3 = 0.67

3/4 = 0.75

I'm always happy help :)

Answer:

0.7

Step-by-step explanation:

I divided 4 by 6

0.6666666666666...

Simplify to 0.7

Answer:

it will take 96 truckload trips to move the entire pile of dirt.

Step-by-step explanation:

The formula for the volume of a cone of height h and radius r is

V = πr²h.  Here, the radius, r, is half the given diameter, or r = d/2, or r = (8 yds)/2, or 4 yds, and the height is 12 yds.  Thus, in this case, the volume of the conical pile of dirt is

V = π(4 yd)²·12 yd, or

V = 3.14(16 yd²)(12 yd), or

V = 602.88 yd³

If each truck holds 6.28 yd³ and we want to know how many truckloads the company needs in order to move the conical pile, we divide the above volume (V) by 6.28 yd³:

     V                    602.88 yd³

------------- = --------------------------------------- = 96

6.28 yd³       (6.28 yd³ per truckload)

We interpret this to mean that it will take 96 truckload trips to move the entire pile of dirt.

The number of truckloads the company will need is A = 32 truckloads

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the center of base) called the apex or vertex.

The volume of a cone is given by the equation

Volume of Cone = ( 1/3 ) πr²h

where r is the radius of the cone

h is the height of the cone

Surface area of the cone = πr ( l + r )

where l = √ ( b² + r² )

Given data ,

The first step is to find the volume of the pile of dirt using the formula for the volume of a cone: V = ( 1/3 ) πr²h, where r is the radius of the base and h is the height.

The height of the cone is given as 12 yards, and the diameter of the base is 8 yards, so the radius is half of that, or 4 yards. Plugging in these values, we get:

V = (1/3)π (4 yards)² (12 yards)

V ≈ 201.06 yards³

Next, we need to find out how many truckloads the company will need.

We know that each truck can hold 6.28 cubic yards of dirt, so we can divide the total volume of dirt by the volume of one truckload to find the number of truckloads needed:

201.06 cubic yards / 6.28 cubic yards/truckload ≈ 31.99 truckloads

Since the company can't order a fractional number of truckloads, they will need to round up to the nearest whole number.

Hence , the company will need 32 truckloads to move the pile of dirt

To learn more about cone click :

https://brainly.com/question/1984638

#SPJ2

Answer:

-1/2

Step-by-step explanation:

To find the slope

m = (y2-y1)/(x2-x1)

m= (-4 -1)/(0- - 10)

   = (-4-1)/(0+10)

   = -5/10

= -1/2

Answer:

D

Step-by-step explanation:

hope this helps

Answer:

8.5

Step-by-step explanation:

So the line segment that is tangent to the circle is 8, and AO is 11.7.

When you connect them, they are perpendicular, so you have a right triangle with one unknown leg that we will call X, a leg that is 8, and a hypotenuse that is 11.7.

If you use the Pythagorean Theorem, you will find that the leg is √72.89, which is approximately 8.5.

That leg is the radius.

This might be wrong so check it.

Answer:

I CAN!

Step-by-step explanation:

First, where does the line start?

y=1

It looks like it goes up, and then right each one unit. No?

So that would be

Y=1+1

Warning! DO NOT say y=2.  That is no good. You probably want to simplify it, but dont. Okay?

Happy to help

ОωО

Circumference = Diameter x PI

The units is the same units as the diameter = cm.

The diameter is shown as 14 cm

Circumference = 14 x PI = 14PI cm.

Answer

The median is 155

Step-by-step explanation:

You get the numbers from least to greatest then the middle number is your median.

Answer:

2 is the sum of one plus one

Answer:

2

Step-by-step explanation:

Answer:

159

Step-by-step explanation:

She paid 6 payments of 139

6*139 = 834

The cost was 675

834-675 =159

The interest was 159

Answer:

-22

Step-by-step explanation:

From the graph, f(-8) = -2 and g(2) = -4, so the answer will be -3 * (-2) + 7 * (-4) = 6 - 28 = -22. Hope this helps!

Answer:

Anna

Step-by-step explanation:

In standard form the first term is the term with the largest exponent.

The following terms are then in descending order of exponents.

The term with the largest exponent is 7[tex]x^{7}[/tex] ← first term

The expression in standard form is

7[tex]x^{7}[/tex] + 6[tex]x^{5}[/tex] - 3x³ + 8x ← Anna

Answer:

9 packages

Step-by-step explanation:

Each package will have 6 sheets, so to find the number of packages for 55 sheets, we can just use a rule of three:

1 package -> 6 sheets

x packages -> 55 sheets

x * 6 = 55 * 1

x = 55 / 6 = 9.17

Rounding down, we have x = 9 packages.

So it can be done a total of 9 packages, and there will be (55 - 9*6) = 1 sheet left.

Answer:

y=4x+5

Step-by-step explanation:

Liner graph, therefore, y=mx+b; b is the y intercept; m is the slope

b=5, another pair is (-1,1)

need to find m first

Substituting we get:

⇒1= m(-1) + 5

⇒1= -1m + 5

⇒1-5= -m

⇒-4 = -m

⇒m=4

Eq: y=4x+5

Answer:

261

Step-by-step explanation:

Answer:

i think its 261

Step-by-step explanation:

Answer:

yes it is correct

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Here are some of the Pythagorean Triples:

(3,4,5)

(5,12,13)

(7,24,25)

(8,15,17)

(9,40,41)

(11,60,61)

(12,35,37)

(13,84,85)

You'll see that 8, 15, 17 is a Pythagorean Triple so yes, it is a right triangle.

Answer:

Federico

Step-by-step explanation:

Answer:

Step-by-step explanation:

12

One hour's cost for the trampoline gym will be $12.

The ratio can be defined as the number that can represent one quantity as a percentage of another. They can be compared only when the two numbers in a ratio have the same unit. Ratios are used to compare two objects.

Given, A trampoline gym charges $6 for 1/2 of an hour.

Since,

For 1/2 hour gym charges = 6$

So from the definition of the ratio

Thus,

For 1-hour gym will charge = 6*2

For 1 hour gym will charge = 12$

therefore, One hour cost for the gym will be $12.

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ2

Answer:

12/36 can be simplifed to 1/3 so he has a 1/3's chance of seeing them or 33%

Step-by-step explanation:

:)

Answer:

1/4

Step-by-step explanation: