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3 years ago

Simplify -4(x - 5) + 3(a - 7)

Mathematics

1 answer:

STatiana [176]3 years ago

7 0

using the distributive property:

-4x + 20 + 3a - 21

Then combine like terms:

-4x + 3a - 1

A is the answer

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Please somone helppppp

Lyrx [107]

Answer:

its an open circle on -2 and the line is to the right

Step-by-step explanation:

-2x=4

x=4/-2=-2

and the sign is the same and its an open dot because its not greater too or equal to

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3 years ago

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Solve 5x^2-2x-8=0 using the quadratic formula

mixas84 [53]

Not sure if this is what you are looking for but welp

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3 years ago

Translate the verbal statements into a system of linear equations: Fatima invested a total of $1000 in two simple-interest bank

mixas84 [53]

Answer:

Step-by-step explanation:

Translate the verbal statements into a system of linear equations: Fatima invested a total of $1000 in two simple-interest bank accounts. One account paid 5% annual interest; the other paid 6% annual interest. The total amount of interest she earned after 1 year was $56

Simple interest formula =

I = PRT

We are to find the Amount = Principal invested

For Account 1

I1 = P × 5% × 1

= 0.05P

Account 2

I2 = P × 6% × 1

= 0.06P

Therefore:

0.05P + 0.06P = $56

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3 years ago

8. Delores bought 12 pizzas for a party she was giving

belka [17]

Answer:

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Step-by-step explanation:

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3 years ago

If triangle CAT is similar to triangle DOG, which of the following statements is incorrect?

jeyben [28]

Answer:

1. triangle TCA ~ triangle GOD

4. If TC/GD=3/2, then m<T/m<G=3/2.

Step-by-step explanation:

The statements of the question are

1. triangle TCA ~ triangle GOD

2. AT: OG= AC:OD

3. If TC/GD=3/2, then AC/OD=3/2.

4. If TC/GD=3/2, then m<T/m<G=3/2.

5. If the scale factor of triangle CAT to triangle DOG is 3 to 2, then the scale factor of triangle DOG to triangle CAT is 2 to 3.

6. If AC is twice as long as AT, then OD is twice as long as OG

Verify each statement

1) triangle TCA ~ triangle GOD

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

triangle CAT ~ triangle DOG -----> is given

Reorder

Corresponding sides are named using pairs of letters in the same position on either side of the congruence statement

triangle TCA ~ triangle GDO

therefore

The statement is not correct

2). AT: OG= AC:OD

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

triangle CAT ~ triangle DOG -----> is given

Applying proportion

$\frac{AT}{OG}=\frac{AC}{OD}=\frac{TC}{GD}$

The statement is true

3). If TC/GD=3/2, then AC/OD=3/2.

we have that

$\frac{AT}{OG}=\frac{AC}{OD}=\frac{TC}{GD}$ ---> see part 2)

$\frac{TC}{GD}=\frac{AC}{OD}$

therefore

The statement is true

4). If TC/GD=3/2, then m<T/m<G=3/2

Remember that

In two similar triangles, corresponding angles are congruent

$m\angle T=m\angle G$

$m\angle T/m\angle G=1$

therefore

The statement is false

5). If the scale factor of triangle CAT to triangle DOG is 3 to 2, then the scale factor of triangle DOG to triangle CAT is 2 to 3

we know that

If the scale factor of triangle CAT to triangle DOG is a/b. then the scale factor of triangle DOG to triangle CAT is b/a

The scale factor will be the reciprocal

therefore

The statement is true

6). If AC is twice as long as AT, then OD is twice as long as OG

we know that

$\frac{AT}{OG}=\frac{AC}{OD}$

Reorder

$\frac{AT}{AC}=\frac{OG}{OD}$

If AC is twice as long as AT ----> AC=2AT

If OD is twice as long as OG ----> OD=2OG

substitute

$\frac{AT}{2AT}=\frac{OG}{2OG}$

simplify

$\frac{1}{2}=\frac{1}{2}$ ----> is true

therefore

The statement is true

5 0

3 years ago