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crimeas [40]
3 years ago
12

PLEASE HELP ME Which expression is equivalent to –8(–5k+4)+6k

Mathematics
1 answer:
zheka24 [161]3 years ago
6 0

Answer:

the last option (-5k+4)-8 + 6k

Step-by-step explanation:

-8(-5k+4)+6k

to simplify, begin by distributing the -8 so that parentheses are removed:

=(-8)(-5k) + (-8)(4) + 6k

=40k - 32 + 6k

combine 'like terms':

46k-32

the only answer which simplifies to 46k-32 is the last option:

the only difference between the original problem and the last option is that the -8 value is behind the parentheses instead of in front of it; it simplifies to be 46k-32

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What is the answer 5 1/6
MrRissso [65]

Answer:

= 31/6

Step-by-step explanation:

Multiply the denominator(6) by the whole number(5) to get 30 then add it to the numerator(1) to get 31, then put it over the original denominator to get 31/6.

5 0
3 years ago
(a) Are triangles the congruent? Write the congruency statement.
Maru [420]

Answer:

Part A) Yes , the triangles are congruent

Part B) The side-angle-side (SAS) theorem

Part C) The perimeter of  ∆PQR is 17\ ft

Step-by-step explanation:

Step 1

we know that

The side-angle-side (SAS) theorem, states that: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

so in this problem

Traingle PQR and Triangle STU are congruent by the SAS Theorem

because

m<PQR=m<STU -------> included angle

PQ=TS

QR=TU

Step 2

<u>Find the value of y</u>

we know that

If the triangles are congruent

then

The corresponding sides are equal

so

PR=SU

substitute

(3y-2)=(y+4)

(3y-y)=(2+4)

(2y)=(6)

y=3\ ft

PR=3y-2=3(3)-2=7\ ft

SU=y+4=(3)+4=7\ ft

so

PR=SU

Step 3

Find the perimeter  ∆PQR

Remember that

The perimeter of  ∆PQR is equal to the perimeter  ∆STU

The perimeter is equal to

P=PQ+QR+PR

substitute the values

P=4+6+7=17\ ft

6 0
3 years ago
What is 4 1/3 times 18
kaheart [24]
Change 4 1/3 to improper fraction: 13/3

13/3 * 18/1 = 234/3

234/3 = 78.

Hope this helped☺☺♥♥
5 0
3 years ago
Read 2 more answers
Which phrase represents' the sum of 11 and a number
denis23 [38]

Answer:

11 + n

Step-by-step explanation:

sum means addition, so u need a + sign

n is usually the variable used for 'a number'

so 11 and (+) a number (n) = 11+ n

hope this helps!

5 0
2 years ago
Factorise (x-y)^2-(x-y)^3=?
bogdanovich [222]

Answer:

\left(x-y\right)^2\left(1-x+y\right)

Step-by-step explanation:

You factor out the common term first.

You should get the equation below.

\left(x-y\right)^2\left(1-\left(x-y\right)\right)

then you get rid of the negative inside\left(1-\left(x-y\right)\right)

and will be simplified to this.

\left(x-y\right)^2\left(1-x+y\right)

4 0
3 years ago
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