Each leg of an isosceles triangle is 3 units less than the length of its base. If the perimeter is 30 units, how long is each leg

Answer:

x=-6, x=1

Step-by-step explanation:

The zero product property

It states that if a.b=0, then it must be satisfied that a=0 or b=0. It's commonly used to solve equations where one of the sides is 0.

The given equation is:

(x+2)(x+3)=12

Since neither side is 0, we operate the expression:

x^2+3x+2x+6=12

Moving 12 to the left side and simplifying:

x^2+3x+2x+6-12=0

x^2+5x-6=0

Factoring:

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

Now, since there is zero on the right side, we apply the property to solve:

x+6=0, or x-1=0

The two solutions come directly:

x=-6, x=1

Answer:

j = 24

t = 2

h = 4

Step-by-step explanation:

Three hats, two T-shirts, and one jacket cost $40.

3h + 2t + j = 40

Two hats, two T-shirts, and two jackets cost $60.

2h + 2t + 2j = 60

One hat and three T-shirts cost $10.

h + 3t = 10

3h + 2t + j = 40 (1)

2h + 2t + 2j = 60 (2)

h + 3t = 10. (3)

From (3)

h = 10 - 3t

Substitute into (1) and (2)

3(10 - 3t) + 2t + j = 40 (1)

2(10 - 3t) + 2t + 2j = 60 (2)

30 - 9t + 2t + j = 40

20 - 6t + 2t + 2j = 60

- 7t + j = 40 - 30

-4t + 2j = 60 - 20

-7t + j = 10 (1a)

-4t + 2j = 40 (1b)

Multiply (1a) by 2

-14t + 2j = 20

-4t + 2j = 40

Subtract to eliminate j

-4t - (-14t) = 40 - 20

-4t + 14t = 20

10t = 20

t = 20/10

t = 2

Substitute t = 2 into

h = 10 - 3t

h = 10 - 3(2)

= 10 - 6

= 4

h = 4

Substitute t = 2 and h = 4 into

3h + 2t + j = 40

3(4) + 2(2) + j = 40

12 + 4 + j = 40

16 + j = 40

j = 40 - 16

= 24

j = 24

Given :

A carton of 12 eggs or a carton of 18 eggs was the better buy. A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39. Unit price of the 12-egg carton = ($2.39)(12 eggs) = $28.68 per egg Unit price of the 18-egg carton = ($3.39)(18 eggs) = $61.02 per egg The 12-egg carton has the lower unit cost, so it is the better buy.

To Find :

What was her first error.

Solution :

Her first error is to find Unit price of egg in each carton.

To find, unit price we should divide total amount by number of units :

Unit price for carton of 12 eggs, $ (2.39)/12 = $0.199 .

Hence, this is the required solution.

Answer:

She is right, however her explanation is wrong.

In order to find the unit price, you need to divide the amount by the cost.

You will then see that 12 divided by 2.39 < 18 divided by 3.39.

The smaller unit price is obviously the better buy.

Step-by-step explanation:

Answer:

p=2

Step-by-step explanation:

22-10=12

12/6p=2

Answer:

4

Step-by-step explanation:

answer is four don't worry it's correct

The value is a solution of the equation is x= 4.

The correct option is B.

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. 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.

We have an Equation as 3- 2x  = -5.

Now, solving the above equation for x

Subtract 3 from both side

3- 2x - 3 = -5 -3

-2x = -8

Now, divide both by (-2) we get

-2x/(-2) = -8/(-2)

x = 4

Thus, the value of x is 4.

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Answer:

1, 2, 3, 4, 6, 9, 12, 18

Answer:

Your answer : x = 9

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

Answer:

y = 5.19615 or 3√3

x = 10.3923 or 6√3

also missing angle is 60°.

hope this helps!

Step-by-step explanation:

Answer:

1.0e29

Hope this helps! Please mark Brainliest!

lol evn the bob ross doesn't know the answer to that

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just copy and paste its not hard pls this could save someones life

Answer:

I mite be rong but I think 8x and 3x

Answer:  answer is A

A:3/32

B:2/3

C: 1 1/2

D:4

She hike 1.5 miles  per hour.A common unit of measurement is the mile (mi).

1.609344 kilometers are exactly one unit of length. mile, any of several different measures of distance, such as the statute mile, which has a length of 5,280 feet, is also equivalent to 1,760 yards (1.609 km). It derives from the mile passus, or "thousand paces," of the Romans, which was equivalent to 5,000 Roman feet.

A common unit of measurement is the mile (mi). It is typically used to express the distance between cities, the length of rivers, and the distance between roadways. The letter "mi" stands for the unit mile in writing. Therefore, a marathon race would be roughly 26.3 miles or 26.3 mi in length.

Given ,

1/4hrs=15mins

15mins=3/8miles

60mins=more

60/15 × 3/8

=4/1 × 3/8

=12/8

=1.5miles

Therefore 1.5 miles fast she hike per hour.

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Answer:

The second one: [tex]8x^{2}y+7x^{2}-5y^{2}+3x-2+2x^{2}y-x^{2}-2y^{2}-3x-4[/tex]

Step-by-step explanation:

You have to combine the like terms (any numbers with the same variables and exponents)

[tex]8x^{2}y+2x^{2}y=10x^{2}y, 7x^{2}-x^{2}=6x^{2}, -5y^{2}-2y^{2}=-7y^{2}, 3x-3x=0, -2-4=-6[/tex]

If you put all of the answers together you get [tex]10x^{2}y+6x^{2}-7y^{2}-6[/tex]

Answer:

u can search on google the example

Answer:

f(1)=16

Step-by-step explanation:

f(t)=-16t+32t

f(1)=-16(1)+32(1)

f(1)=-16+32

f(1)=16

Answer:

f(1)=16

Step-by-step explanation:

Given that,

Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20.

For peanut, the cost is ratio is

[tex]\dfrac{5}{3}[/tex]

For beef, the ratio is

[tex]\dfrac{7}{4.2}[/tex]

If we take cross product of these items,

[tex]\dfrac{5}{3}=\dfrac{7}{4.2}\\\\5\times 4.2=3\times 7\\\\21=21[/tex]

It implies, that the sale is in true proportion. From the cross product, we find that it is equal.

Answer:

21

Step-by-step explanation:

Answer:

most likely yards

Step-by-step explanation:

Answer:

r=-3

Step-by-step explanation:

the first step in this equation is to isolate 6r,to do this you got to add 12 to -30 which you get -18 which gives the equation 6r=-18 which now you got to divide both sides by 6 which you should get r=-3

Answer:

r=-3

Step-by-step explanation:

add 12 to -30 you get -18 divide -18 by 6 and you get -3

Answer:

sorry I can't understand this question

Step-by-step explanation:

im busy sorry

Answer:

Step-by-step explanation: it would be B= 3/20

hope this helps!!!!

Answer: B) m=3/20

Step-by-step explanation: X is increasing by 3 each time, while Y is increasing by 20. Therefore, it is 3/20.

Answer: the slope is 1/1

Step-by-step explanation:

it rises up 1 and goes over 1

Answer:

4/5

Step-by-step explanation:

(4, 2)

(-1, -2)

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

2 - (-2)/4 -(-1)

Slope = 4/5

Hope this helps!

Let me know if I'm incorrect :)

Answer:

95 degrees is the measure of 3 just like the other angle because they equal each other the angle of 4 you would find out by subtracting 180-95=85. so the measure of 3 is 95 and the measure of 4 is 85

-3                   -24

-120               9

-21                  -9

8                   -48

Answer:

(-27) / 9 = -3                   4 * (-6 )= -24

12 * (-10) = -120              (-45) / (-5) = 9

7 * (-3) = -21                    72 / (-8) = -9

64 / 8 = 8                        (-8) * 6 = -48

Answer:

4

Step-by-step explanation:

replace x with 2 then you get -1

Next step replace x with 5 then u get 5

Add 5 and -1. You get four.

The value of  f(2) + f(5) in f(x) = 2x - 5 is 4.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given,  f(x)= 2x-5, therefore f(2) + f(5) can be obtained if we replace x with numerical values 2 and 5 in f(x) which is,

f(2) + f(5) = 2(2) - 5 + 2(5) - 5.

f(2) + f(5) = 4 - 5 + 10 - 5.

f(2) + f(5) = 4

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Answer:

(- 9, - 6 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , thus

(9, - 6 ) → (- 9, - 6 )

Answer:

I think it’s c

Step-by-step explanation:

Answer:

Sorry Ion play COD

Step-by-step explanation:

Answer: 73 feet

Step-by-step explanation:

1inch =5feet

L=3.5 inches W=2.5 inches

P= L1+L2+W1+W2

L=3.5(5) =17.5

W= 2.5(5) = 12.5

17.5+ 17.5 +12.5+ 12.5= 73 feet

Answer:

1.5 inches ; 2 inches ; 2.5 inches

Step-by-step explanation:

Given that the original measurement of the triangular sail is :

6 inches, 8 inches and 10 inches

Scale factor = 1/4

Hence, scaled diagram of the triangular sail :

1/4 * (6 inches, 8 inches, 10 inches)

1/4 * 6 = 1.5 inches

1/4 * 8 = 2 inches

1/4 * 10 = 2.5 inches