An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b. This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a+b=15.7 can be used to find the side lengths. If one of the longer sides is 6.3 centimeters, what is the length of the base?(in cm)

Answer:

a X=12

B X=4

C X=7

D X=24

E X=20

Answer:

a) 12 b) 4 c) 7 d) 24 e) 20

Step-by-step explanation:

a)

[tex]2x = 24[/tex]

[tex]x = 12[/tex]

b)

[tex]3x = 12[/tex]

[tex]x = 4[/tex]

c)

[tex]3x = 21[/tex]

[tex]x = 7[/tex]

d)

[tex]x \div 3 = 8[/tex]

[tex]x = 24[/tex]

e)

[tex]x \div 5 = 4[/tex]

[tex]x = 20[/tex]

Answer:

The answer would be D

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

Answer:

(0,2), (1,-3)

Step-by-step explanation:

Answer:

The first point is on the y-axis where you are pointing at (0,2) Plot the next point down 5 and 1 to the right at (1,-3).

Step-by-step explanation:

In slope intercept form, the coefficient x is the slope. That's -5 in this example. The constant is the y-intercept. That's 2 in this example.

The linear equation where y is the price of the number of markers x is as follows:

Let

the price of each marker = y

Therefore,

The price of a box with 10 markers = $7

The price of a box with 24 markers  = $14

(10, 7)(24, 14)

Using linear equation

where

m = slope

b = y-intercept

Therefore,

m = 14 - 7 / 24 - 10

m = 7 / 14

m = 1 / 2

Therefore, let's find b

7 = 1 / 2(10) + b

7 - 5 = b

b = 2

Therefore, the  linear equation where y is the price of the number of markers x is as follows:

learn more on equation here:https://brainly.com/question/12043800

Answer:

y = 1/2x+2

Step-by-step explanation:

We have two points ( 10,7) and (24,14)

We need to determine the slope using the slope formula

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

    = ( 14-7)/(24-10)

   = 7/14

   = 1/2

The slope is 1/2

The slope formula is y=mx+b where m is the slope and b is the y intecept

y = 1/2x+b

Using one of the points

7 = 1/2 (10)+b

7 = 5+b

7 -5 =b

2=b

y = 1/2x+2

Answer:

Stone

Step-by-step explanation:

The answer is on the paper.

Answer:

Step-by-step explanation:

Answer:$4

Step-by-step explanation: $23 -$3= $20. Then you divide $20 by the number of sandwiches you have: 20/5= $4 per sandwich

Answer:

g = 3/2

Step-by-step explanation:

−4g+8−5+ 2g

−4g+ 2g +8-5

-2g + 8 -5

-2g +3

2g = 3

g = 3/2

g = 1 1/2

Answer:

1745 centimeters.

Step-by-step explanation:

The first thing is to pass the kilometers to centimeters, we know 1 km equals 100000 cm, therefore:

1745 km * 100000 cm / 1 = 174500000 cm

Now, when applying the scale, we have that it is 1: 100000, so we apply the scale:

174500000 * 1/100000 = 1745

That is to say that on the map those 1745 kilometers represent 1745 centimeters.

Answer:

x = 5/2            x = 1/3

Step-by-step explanation:

(2x - 5)(3x - 1) = 0

Using the zero product property

2x- 5 = 0        3x-1 = 0

2x =5           3x = 1

Divide

x = 5/2            x = 1/3

Answer:

6x^2-17x+5

Step-by-step explanation:

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

It makes more sense if you think about it in numerical terms.

Say if there were 10 eggs per carton and there were 5 cartons, what would you do to find the total?

You would multiply them

It is the same in this case

The expression would be n x k

It can be written as just nk though

Have A Nice Day ❤    

Stay Brainly! ヅ    

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Answer:

k cartons = total number of eggs

1 carton = n eggs

Step-by-step explanation:

Answer:

The correct option is;

The data for suitcase 1 have an outlier but the data for suitcase 2 does not

Step-by-step explanation:

Range of a box plot

Interquartile range (IQR) for bot suitcases we have

Here we have for suitcase 1

IQR = Q₃ - Q₁ = 12 - 8 = 4

For suitcase 2

IQR = Q₃ - Q₁ = 18 - 5 = 13

Lower outlier = Q₁ - 1.5×IQR

Higher outlier = Q₃ + 1.5×IQR

For suitcase 1 we have;

Lower outlier = 8 - 1.5×4 = 2 (No lower outlier)

Higher outlier = 12 + 1.5×4 = 18

Hence, whereby the whiskers range from 4 to 30, suitcase 1 has a higher outlier

For suitcase 2 we have;

Lower outlier = 5 - 1.5×13 = -14.5  (No lower outlier)

Higher outlier = 18 + 1.5×13 = 37.5

Hence, whereby the whiskers range from 2 to 20, suitcase 2 has no outlier.

Therefore, the correct option is the data for suitcase 1 have an outlier but the data for suitcase 2 does not.

Answer:A

Step-by-step explanation:

took the test

Answer:

Step-by-step explanation:

A. Model is linear

B. y = -16x - 16

(-3, 32) (-2, 16)

(16-32)/(-2 + 3) = -16/1= -16

y - 32 = -16(x + 3)

y - 32 = -16x - 48

y = -16x - 16

Answer:

C. 104 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle is p= 2(L+W). All you have to do is plug in your values.

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The rate of change is a measure of the slope

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (29, 9) and (x₂, y₂ ) = (33, 10)

m = [tex]\frac{10-9}{33-29}[/tex] = [tex]\frac{1}{4}[/tex] ← rate of change

Answer:

C

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

<BAC=<BDE

<BCA=BED

Answer:

A

Step-by-step explanation:

Basically we want to find the point that lies in the shaded area and the only one that does so is (2,3).

Answer: A

Step-by-step explanation:

we gotta find the line in the shaded area and

acording to the question the answer must be  (2,3).

Hope this helps :)

Answer:  [tex]\bold{y=-\dfrac{1}{3}x+6}[/tex]

                [tex]\bold{y=-\dfrac{1}{4}x+\dfrac{25}{4}}[/tex]

Step-by-step explanation:

  x + 3y = 18

- x           -x

        3y = -x + 18

      ÷3     ÷3 ÷3

         y = (-1/3)x + 6

-3x - 12y = -75

+3x           +3x

        -12y = 3x - 75

       ÷-12    ÷-12 ÷-12

           y = (-1/4)x + (25/4)

So,the length of rectangle is 24 cm

The breadth of rectangle is 18 cm

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

18,920.00

Step-by-step explanation:

discount = x

original price = $20,000

discount% = 5.4%

x/20,000 = 5.4/100

x · 100 = 5.4 · 20,000

100x = 108,000

100x/100 = 108,000/100

x = $ 1,080.00

Sale price = original $ - discount $ = final answer

$20,000 - $1,080 = $18,920.00

Answer:1,080

Step-by-step explanation:

20,000 x .54 equals $1,080

Answer:

yes it can

Step-by-step explanation:

yes

Answer:

No

Step-by-step explanation:

You need to use the Pythagorean Theorem.  This will show you if the ratio between the sides is accurate.

a² + b² = c²

8² + 11² = 13²

64 + 121 = 169

185 ≠ 169

The measurements will not fit in a right triangle.

Answer:

Line JI (Option D)

Step-by-step explanation:

Always take the 2 points of the line to name the line.

Answer:

  D.  JI

Step-by-step explanation:

The line can be named any of ...

Of these, JI is on your choices list.

For a 4 by 4 cube, he needs 4 rows 4 high for 16 cubes in each row.

The back row is  3 x 4 = 12, so he needs 4 more for the back row,

The 3rd row he has 8, so needs 8 more.

The 2nd row he has 4 so needs 12 more,

The first row he has 2 so will need 14 more.

Total needed: 4 + 8 + 12 + 14 = 38 more cubes.

Answer:

In set theory, the power set (or powerset) of a a Set A is defined as the set of all subsets of the Set A including the Set itself and the null or empty set. It is denoted by P(A). Basically, this is the combination of all subsets including null set, of a given set

Answer:

x = 19° ; Write 19° in the box ( don't forgot ° or answer will be incorrect )

Step-by-step explanation:

If XW ║YZ, we can tell that YW is a transversal, as YW ∩ XW, YX;

By alternate interior angles, ∠ ZYW ≅ ∠ YWX, so that ⇒

m∠ ZYW = m∠ YWX,

m∠ YWX = 2x, ⇒ given m∠ ZYW = 2x

By ∑ of angles in triangle Theorem;

m∠ YXW + m∠ XYM + m∠ YWZ = 180° ⇒ through substitution,

( 3x - 5 ) + 90 + ( 2x ) = 180 ⇒ now apply algebra,

3x - 5 + 90 + 2x = 180 ⇒ combine like terms,

3x + 2x - 5 + 90 = 180 ⇒ add,

5x + 85 = 180 ⇒ subtract 85 from either side of equation,

5x = 95, divide 5 on either side,

x = 19°

Solution; x = 19°

Answer:

3

Step-by-step explanation:

in slope-intercept form, the slope is the x's coefficient, which in this case is 3,

so, m=3

Answer:

  116 tiles

Step-by-step explanation:

You want to know the number of 6 cm equilateral triangle tiles required to cover 1800 cm².

The area of an equilateral triangle of side s is given by the formula ...

  A = (√3/4)s²

The area of a 6 cm equilateral triangle tile is ...

  A = (√3/4)(6 cm²) = 9√3 cm² ≈ 15.588 cm²

The number of tiles required is the total area divided by the area per tile:

  1800 cm² / (15.588 cm²/tile) ≈ 115.47 tiles

In order to cover 1800 cm², Liz will need 116 triangular tiles.

Answer:

100 tiles

Step-by-step explanation:

Each tile is an equilateral triangle with sides 6 cm in length, so the area of each tile can be found using the formula for the area of a triangle:

[tex]\sf:\implies{A = (b \times h) / 2}[/tex]

where b is the base and h is the height.

Since each side of the triangle is 6 cm, the base and height of the triangle are both 6 cm, so:

[tex]\sf:\implies{A = (b \times h) / 2}[/tex]

[tex]\sf:\implies{A = (6 \times 6) / 2}[/tex]

[tex]\sf:\implies{A =18}[/tex]

So each tile has an area of 18 cm².

To find the number of tiles needed to cover an area of 1800 cm², divide the total area by the area of each tile:

[tex]\sf:\implies{A = 1800 / 18}[/tex]

[tex]\sf:\implies{A = 100}[/tex]

Therefore, Liz needs 100 tiles to cover an area of 1800 cm².

Answer:

3. From the graph, g(0) = -1.

4. t(x) = 2x + 5

   t(0.5) = 2(0.5) + 5 = 1 + 5 = 6

   g(6) = 0 (from graph)

5. 15 = 2x + 5

    2x = 10

      x = 5

6. g(1) = 0

   t(0) = 5

7. t(1) = 7

   g(7) = -2

Answer:

D

Step-by-step explanation:

When you graph, you can see that the Line crosses the x at (-3,0) and then passes through the y at (0, 12)

Answer:

D

Step-by-step explanation:

To find the intercepts, set the variable you are not trying to find to 0. Also, in case you don't know, f(x) and y are the same thing here. So on this question, it would be:

X-Intercept:

0=4x+12

-12=4x

-3=x

so x intercept is (-3,0)

Y-Intercept:

y=4(0)+12

y=12

so y intercept is (0,12)