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2 years ago

Figure A is a scale image of Figure B.

Mathematics

1 answer:

Kay [80]2 years ago

5 0

Answer:

Because:

30 is to 25 as x is to 10.

As an equation: 30/25 = x/10

Do this equation by: look at image

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A quadratic equation is shown: x2 + 18x + 76 = 0 Which of the following is the first correct step to write the above equation in

tia_tia [17]

Answer:

x^2 + 18x + 76 + 5 = 0 + 5

Step-by-step explanation:

The first step is to determine the constant that is needed to be able to write the expression in the desired form. That constant is the square of half the x-term coefficient: (18/2)^2 = 9^2 = 81.

The constant that is present is 76, which is 5 fewer than the needed constant, so the "first step" is to add 5 to both sides of the equation:

x^2 + 18x + 76 + 5 = 0 + 5

Then the next step would be to write the left side as a square:

(x +9)^2 = 5 . . . . . . . p = -9; q= 5

4 0

3 years ago

Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.20.20, point, 2 kilograms of yarn and each sc

Rashid [163]

Answer:

The system of equation that represent this situations are;

$\left \{ {{h+s=15} \atop {0.2h+0.1s=2}} \right.$

Also 5 hats and 10 scarves can be prepared from 2 kg of yarn.

Step-by-step explanation:

Let number of hat Chevy makes be h.

Also Let number of scarves Chevy makes be s.

Given:

Total Amount of yarns = 2 kg

Total number of items = 15

Since Items need to make are hat and scarves.

Hence the equation can be represented as;

$h+s=15 \ \ \ \ equation \ 1$

Again Given:

Each hat uses 0.2 kilograms of yarn.

each scarf uses 0.1 kilograms of yarn.

Hence the equation can be represented as;

$0.2h+0.1s=2 \ \ \ \ \ equation \ 2$

Hence the system of equation that represent this situations are;

$\left \{ {{h+s=15} \atop {0.2h+0.1s=2}} \right.$

Now Solving these to find number of hats and number of scarves.

Multiplying equation 2 with 10 we get;

$10(0.2h+0.1s)=2\times 10\\10\times0.2h+10\times0.1s=20\\2h+s =20 \ \ \ \ \ equation \ 3$

Now Subtracting equation 1 from equation 3 we get;

$(2h+s)- (h+s) =20-15\\2h+s-h-s=5\\h= 5$

Now Substituting the value of h in equation 1 we get;

$h+s= 15\\5+s =15\\s=15-5\\s=10$

Hence 5 hats and 10 scarves can be prepared from 2 kg of yarn.

5 0

4 years ago

A theorem is a statement that can be easily prove using a corollary

Reika [66]

False. Although, I'm not 100% sure.

7 0

3 years ago

Read 2 more answers

A circle is centered on point B, Points A, C and D lie on its circumference. if ABC measures 46 degrees, what does ADC measures?

den301095 [7]

Answer: 23 degrees

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Explanation:

Using the inscribed angle theorem we can connect the central angle ABC and the inscribed angle ADC. The reason why is because they both cut off the minor arc AC

Angle ABC is given to be 46 degrees, the formula we use is shown below

central angle = 2*(inscribed angle)
angle ABC = 2*(angle ADC)
46 = 2*(angle ADC)
46/2 = 2*(angle ADC)/2 ... divide both sides by 2
23 = angle ADC
angle ADC = 23 degrees

5 0

3 years ago

When working with a function, every x has exactly _____ unique y-value(s).

Rashid [163]

Answer:

The answer is B.

Step-by-step explanation:

A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it. While a function may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value. Function: each x-value has only ONE y-value!

Hope this helps :)

4 0

3 years ago

Read 2 more answers