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3 years ago

Find three consecutive odd integers so that the product of the second and third integer is 63

1 answer:

4 0

product of the second and third integer is 63
63=3*3*7
or
63=7*9 These are two consecutive integers.
We need three integers and the first one is missing so the solution:
5-7-9

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Combine like terms to create an equivalent expression87 m+ 109 −2m− 53

Anika [276]

Combined terms: 85 m + 56

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2 years ago

Many mechanics advised people not to drive their cars more than 5,000 miles between oil changes kaci has driven her car 3450 mil

Verizon [17]

Answer:

See explanation!

Step-by-step explanation:

We know that the maximum miles allowed before oil change is 5,000miles (thus Kaci can drive less or up to 5,000 miles but not more).

Kaci has already driven 3,450miles since last oil change.

Inequalities are typically employed to show a relating or comparative relationship between expressions and can be identified by the sybolism of less, more or/and equal to (i.e. , $>$ , $\leq$ , $\geq$ ).

Let us denote the miles Kaci can drive before oil changing again by $x$ , then we can write the following inequality:

$3450+x\leq 5000$

solving for the remaining miles $x$ allowed

$3450+x\leq 5000\\x\leq 5000-3450\\x\leq 1550$

Thus Kaci can drive up to and including 1550 miles before chaging car oil again.

5 0

3 years ago

I need help with this proof!

mr Goodwill [35]

Answer:

∠B ≅ ∠F ⇒ proved down

Step-by-step explanation:

In the two right triangles, if the hypotenuse and leg of the 1st right Δ ≅ the hypotenuse and leg of the 2nd right Δ, then the two triangles are congruent

Let us use this fact to solve the question

→ In Δs BCD and FED

∵ ∠C and ∠E are right angles

∴ Δs BCD and FED are right triangles ⇒ (1)

∵ D is the mid-point of CE

→ That means point D divides CE into 2 equal parts CD and ED

∴ CD = ED ⇒ (2) legs

∵ BD and DF are the opposite sides to the right angles

∴ BD and DF are the hypotenuses of the triangles

∵ BD ≅ FD ⇒ (3) hypotenuses

→ From (1), (2), (3), and the fact above

∴ Δ BCD ≅ ΔFED ⇒ by HL postulate of congruency

→ As a result of congruency

∴ BC ≅ FE

∴ ∠BDC ≅ ∠FDE

∴ ∠B ≅ ∠F ⇒ proved

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2 years ago

Simplify the expression to a + bi'form: (1 - 5i)(5 +6i)

lions [1.4K]

$(1 - 5i)(5 + 6i) \\ = 5 + 6i - 25i - 30 {i}^{2} \\ = 5 - 19i + 30 \\ = 35 - 19i$

I hope I helped you^_^

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2 years ago

Read 2 more answers

Line segment EF has a lenth if 5 units. It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'.

Elina [12.6K]

A) 5 units because it was moved not changed.

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3 years ago