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 models this information.

If one of the longer si
des is 6.3 centimeters, which equation can be used to find the length of the base

Answer:

I found: y=−3x+12

Explanation:

You can use the relationship:

y−y0=m(x−x0)

Where m is the slope and x0,y0 the coordinates of your point.

So with your data:

y−6=−3(x−2)

y=−3x+6+6

y=−3x+12

or:

3x+y=12

Answer:

x=19,0

y=0,-38/3

Step-by-step explanation:

Answer:

x = 4, y = -10

Step-by-step explanation:

-x - 6 - y = 0

-x - y = 6

2x - 3y = 38, -x - y =6

2x - 3y = 38

2x = 3y + 38

Divide both sides by 2

x = 1/2(3y+38)

Multiple 1/2 times 3y + 38

x= 3/2 y + 19

-(3/2y + 19) -y =6

-3/2y - 19 - y = 6

-5/2y -19 = 6

-5/2y = 25

y = -10

x = 3/2(-10) + y

x = -15 + 19

x = 4

x = 4, y = -10

Rewrite one side (or both) by combining like terms.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

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:

2x – 1 + 3x = 0..........(A)

5x – 1 = 0................(B)

To get Equation B from A, we would rewrite one side (or both) by combining like terms

2x – 1 + 3x = 0

5x – 1 = 0

Learn more about equation here:

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Answer

8,98

Step-by-step explanation:

the minimum amount of weight you can use is the barbell alone which is 8lbs by itself and the maximum is 98 because there are 6 15lb plates which equal to 90lb total and when you add the 6 plates to the barbell you get 98lbs

B is 4 inches i think

hope that helps

Answer:

Area of circle bounded by a 135 ° arc is 4.71 m ²

Step-by-step explanation:

Radius of circle, r = 2 m

Angle of the circle , θ = 135 °

Area of circle bounded by a 135 ° arc.

Using Formula

Area of circle = θ/ 360 × π × r ²

substitute the values,

Area of circle = 135 /360 × 3.14 × ( 2 m) ²

solve it

Area = 27 / 72 × 3.14 × 4 m ²

Area = 27 / 18 × 3.14

Area = 1.5 × 3.14

Area = 4.71 m ²

Therefore, Area of circle bounded by a 135 ° arc is 4.71 m ²

Answer:

it's 3/2pi

Step-by-step explanation:

.

Answer:

1/12 of the lasagna was left

Step-by-step explanation:

To find out how much of the lasagna has been eaten, you have to find the least common denominator (LCD) for the three fractions. The LCD of 1/3, 1/4, and 1/6 is 12 (3x4x6). Now convert all the fractions so that all of their denominators is equal to 72 (1/3=4/12, 1/4=3/12, 1/6=2/12), then add all of the fractions together (4/12 + 3/12 +2/12 = 3/4). 3/4 of the lasagna has been eaten and the remaining lasagna is 1/12 (1-3/4=4/4-3/4).

Answer:

[tex]\frac{1}{4}[/tex] of the lasagna

Step-by-step explanation:

[tex]\frac{1}{4} +\frac{1}{6}+ \frac{1}{3}[/tex]

4 = 2 × 2

3 = 3

6 = 2 × 3

LCM = 2 × 2 × 3

LCM = 12

4 × 3 × 6 = 72

[tex]\frac{18}{72} +\frac{12}{72}+ \frac{24}{72}[/tex]

[tex]\frac{18+12+24}{72}[/tex]

[tex]\frac{54}{72}[/tex]

54 = 2 × 3 × 3 × 3

72 = 2 × 2 × 2 × 3 × 3

GCF = 2 × 3 × 3

GCF = 18

[tex]\frac{\frac{54}{18} }{\frac{72}{18} }=\frac{3}{4}[/tex]

[tex]1-\frac{3}{4}[/tex]

[tex]\frac{4}{4} -\frac{3}{4}[/tex]

[tex]\frac{4}{4} -\frac{3}{4}=\frac{1}{4}[/tex]

Answer:

Step-by-step explanation:

1). Step 4:

   [tex]x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}[/tex]

   [tex]x=\sqrt[3]{5^4}[/tex] [Since, [tex]a^{\frac{1}{3}}=\sqrt[3]{a}[/tex]]

   [tex]x=\sqrt[3]{5\times 5\times 5\times 5}[/tex]

   Step 5:

   [tex]x=\sqrt[3]{(5)^3\times 5}[/tex]

   [tex]x=\sqrt[3]{5^3}\times \sqrt[3]{5}[/tex]

2). He simplified the expression by removing exponents from the given expression.

3). Let the radical equation is,

   [tex](3x-1)^{\frac{1}{5}}=2[/tex]

   Step 1:

   [tex](3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}[/tex]

   Step 2:

   [tex](3x-1)=2^5[/tex]

   Step 3:

   [tex]3x=32+1[/tex]

   Step 4:

   [tex]x=11[/tex]

4). By substituting [tex]x=11[/tex] in the original equation.

   [tex](3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}[/tex]

                         [tex]=(2^5)^\frac{1}{5}[/tex]

                         [tex]=2[/tex]

There is no extraneous solution.

1). Step 4:

   x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}x=534=(54)31

   x=\sqrt[3]{5^4}x=354 [Since, a^{\frac{1}{3}}=\sqrt[3]{a}a31=3a

   x=\sqrt[3]{5\times 5\times 5\times 5}x=35×5×5×5

   Step 5:

   x=\sqrt[3]{(5)^3\times 5}x=3(5)3×5

   x=\sqrt[3]{5^3}\times \sqrt[3]{5}x=353×35

2). He simplified the expression by removing exponents from the given expression.

3). Let the radical equation is,

   (3x-1)^{\frac{1}{5}}=2(3x−1)51=2

   Step 1:

   (3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}(3x−1)51×15=215

   Step 2:

   (3x-1)=2^5(3x−1)=25

   Step 3:

   3x=32+13x=32+1

   Step 4:

   x=11x=11

4). By substituting x=11x=11 in the original equation.

   (3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}(3×11−1)51=(32)51

                         =(2^5)^\frac{1}{5}=(25)51

                         =2=2

There is no extraneous solution.

Answer:

295.4 [tex]in^3[/tex]

Step-by-step explanation:

[tex]V=\frac{1}{3}(b)^2(h)\\\\ =\frac{1}{3} (11.5)^2(6.7)\\\\=\frac{1}{3}(135.25)(6.7)\\\\[/tex]

= 295.358

≈ 295.4

Answer:

9

Step-by-step explanation:

240/20=12

That mean's takes 12 weeks in total.

But, 3 weeks was already done.

So, you do 12 -3.

Which equals 9.

So, the answer is 9.

Please give me brainiest!!!

Answer:

1.7y

2.-14s

3.-2f

4.23d

5.19r

6.-2s

7.-9q

8.24h

9.10q

10.23d

Step-by-step explanation:

I TRY MY BEST TO SOLVE IT

HOPE IT HELPS

CORRECT ME IF I AM WRONG

1. 7y

2. 28 + 14s

3. -2f - 4

4. 16 + 8d

5. 10 + 9r

6. -18+ 16s

7. -8q

8. 6h - 18

9. 12q - 2

10. 10d -27

Answer:

35/2 or 17.5

Step-by-step explanation:

2x / 7 - 3 = 2

2x / 7 - 3 + 3 = 2 + 3

2x / 7 = 5

(2x /7) x 7 = 5 x 7

2x = 35

x = 35/2 or 17.5

Answer:

[tex]x = \frac{35}{2} [/tex]

Step-by-step explanation:

[tex] \frac{2x}{7} -3=2[/tex]

[tex] \frac{2x}{7} = 2 + 3[/tex]

[tex]\frac{2x}{7} = 5[/tex]

[tex]x = \frac{7}{2} \times 5[/tex]

[tex]x = \frac{35}{2} [/tex]

Decimal Form:

[tex]x = 17.5[/tex]

Mixed Number Form:

[tex]x = 17 \frac{1}{2} [/tex]

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

Work Shown:

area = base*height

area = 16*7

area = 112 square cm

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

Extra info (optional section):

The area formula for a parallelogram is the same as the formula for a rectangle. Imagine tilting a rectangle so that it's slanted. The area has not changed.

Or another thing to imagine is that let's say we had a stack of 2 by 4s. If the stack is perfectly vertical, aka forming a rectangle, then we can nudge the beams so that we can form a slanted parallelogram instead. Both configurations involve the same amount of wood, and therefore would lead to the same frontal surface area.

Answer:

(0,5)

Step-by-step explanation:

if the point is graphed in the blue area then it is a solution to the inequality

Note: because the line is dashed points graphed on the line are not solutions

(0,5) is graphed in the blue region meaning that (0,5) is a solution to the inequality.

even though we may have found the answer let's check the rest just to be safe

(3,2) and (-3,-6) are graphed on the line

remember because the line is dashed points that fall on it are not solutions

therefore (3,2) and (-3,-6) are not Solutions

(5,0) when graphed is not in the shaded area and is therefore not a solution

we can conclude that a is the answer

Answer:

12.57 in⠀⠀⠀⠀⠀

Answer:

12.56 inches

Step-by-step explanation:

A= pie x r^2

= 3.14 × 2^2

= 3.14 × 4

= 12.56

4) Let the number be : N

Given : 10% of this number is 25

[tex]\sf{\implies 10\% \ of \ N = 25}[/tex]

[tex]\sf{\implies \dfrac{10}{100} \times N = 25}[/tex]

[tex]\sf{\implies \dfrac{N}{10} = 25}[/tex]

[tex]\sf{\implies N = 250}[/tex]

Now we need to find 60% of 250

[tex]\sf{\implies \dfrac{60}{100} \times 250}[/tex]

[tex]\sf{\implies 6 \times 25}[/tex]

[tex]\sf{\implies 150}[/tex]

5) Given : James left the home at 10 : 00 AM

First : He will meet his friend Tom at the skate park which is 15 minutes walk from his home.

So, James reached the skate park 10 : 15 AM

Second : They stayed at the skate park for an hour

So, till 11 : 15 AM James and Tom were at skate park

Third : Then they will take a 10 minutes walk over to the Burger bar

So, James and Tom reached the Burger bar at 11 : 25 AM

6) First let us find 75% of 80

[tex]\sf{\implies \dfrac{75}{100} \times 80}[/tex]

[tex]\sf{\implies 15 \times 4}[/tex]

[tex]\sf{\implies 60}[/tex]

Now let us find 40% of 30

[tex]\sf{\implies \dfrac{40}{100} \times 30}[/tex]

[tex]\sf{\implies 12}[/tex]

Now, (60 - 12) = 48

Answer: 75% of 80 is 48 greater than 40% of 30

7) Given : Journey to school takes 70 minutes

We know that : 1 hour = 60 minutes

So, 70 minutes = 1 hour + 10 minutes

Given : Boy leaves the home at 0715

Answer: The Boy arrives at 0825

Answer: 6347.218

Step-by-step explanation:

Answer:6,347.218

Step-by-step explanation:

look at the thousandths place and then look at the number next to it if the number was 5 and above the answer would be 6,347.219 but in this situation it's not so you would keep everything the same but subtract the 0.0004

Answer:

10

Step-by-step explanation:

8 and 6 are the numbers you work with

using the formula [tex]a^{2} + b^{2} = c^{2}[/tex]

we get : [tex]8^{2}[/tex] + [tex]6^{2}[/tex] = [tex]c^{2}[/tex]

64 + 36 = [tex]c^{2}[/tex]

100 = [tex]c^{2}[/tex]

[tex]\sqrt{100} = \sqrt{c^{2} }[/tex]

10 = c

Answer:

sinx= d/f

cosx= e/f

tanx= d/e

Answers:

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

Explanation:

A symmetric distribution is where we have the left half be a mirror copy of the right half. In other words, we have symmetry going on.

For the yellow team, note the distance between Q1 and the median is 1 unit (47-46 = 1), and so is the distance from the median to Q3  (48-47 = 1). So the box portion has perfect symmetry. You should find that the whiskers are also perfectly symmetric as well using a similar technique of finding the distances and comparing them.

Overall, the entire box-and-whisker plot for the yellow team is perfectly symmetric.

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

If a distribution isn't symmetric, then it's skewed in some way. If the right side is pulled longer than the left, then we consider it "skewed to the right" aka "positively skewed". So that applies to the blue team. The red team has negative skew because its left tail is longer than the right tail.

Answer:

in all cases x/100 is just a way to represent percentage. and since it's the same everywhere, it's not even relevant to decide wich option describes the context right

A) 80/140 is the portion that describes the book readers over all people surveyed

B) 31/63 just 63 people are relevant bc it's specified that we only consider beach travelers.

that also explains the 31, bc that's the number of beach travelers who'd like to watch a movie

C) 15/80 only 80 movie watchers in total, of whom 15 would prefer the city

Answer:

10, 100, 1,000, 10,000, 100,000

If you are adding one zero in the end for every number, then 100,000 will be your next number

Answer:

I don't know what the answer choices are because this question is used twice But if im guessing correctly you mean the one where the answer choices are 6, 8, 12, and 24. The Correct answer is 6

a2 + 8a + 12 = (a + 2)(a + )

The answer is 6

Step-by-step explanation:

Answer:

it is too fine i cant really see the work

Answer:

C)

Step-by-step explanation:

[tex]2xy^{2}-5y^{5}[/tex]

Binomial should have two terms. Five degree binomial means highest degree of the binomial should be 5

Answer:

No.

Step-by-step explanation:

33^2 + 56^2 is not equal to 66^2. I squared these numbers because that is how I can find out and see if the Pythagorean Theorem (a^2 + b^2 = c^2) is true for this.

Answer:

no , it is not a right triangle.

Step-by-step explanation:

according to the pythagoras theorem to be the right angled triangle the sum of square of two smaller sides of triangle must be equal to the square of it's hypotenuse.

Here , 66 is largest side so it is hypotenuse and other two sides are the legs of the triangle.

pythagoras theorem:

a^2 + b^2 = c^2

33^2 + 56^2 = 66^2

1089 + 3136 = 4356

4225 = 4356

since both sides are not equal it can be concluded that the given side lengths does not form right triangle.