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igomit [66]
3 years ago
7

14m+m+17m−9m if m=30

Mathematics
1 answer:
NikAS [45]3 years ago
4 0

Answer:

  690

Step-by-step explanation:

Put 30 where m is in the expression and do the arithmetic. Or, simpify the expression first, then do the same.

  14·30 +30 +17·30 -9·30 = 420 +30 +510 -270 = 690

Simplifying first, you have ...

  14m +m +17m -9m = m(14 +1 +17 -9) = 23m

  23·30 = 690

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There could be collinear but need to be on the same plane
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3 years ago
ΔXYZ ≅ΔFED where m∠X = 50°, m∠Y=30°, m∠D=2y+10, XY =9 and EF=3x−12. Solve for x and y.
Delicious77 [7]

Answer:

The value of x is 7 and value of y is 45

Step-by-step explanation:

In ΔXYZ

∠X = 50°, ∠Y=30°

To Find ∠Z we will use angle sum property of triangle (Sum of all angles of triangles is 180°)

So,∠X + ∠Y + ∠Z = 180°

So,50°+30°+ ∠Z = 180°

∠Z=180°-80°

∠Z=100°

Now we are given that ΔXYZ ≅ΔFED

So, the corresponding sides are equal and the corresponding angles are equal.

So, ∠Z= ∠D

So, 100=2y+10

100-10=2y

90=2y

45=y

Now XY = EF

So, 9 = 3x-12

21=3x

7=x

Hence The value of x is 7 and value of y is 45

5 0
3 years ago
Complete the square to transform the expression x^2+4x 2 into the form a(x − h)2 + k.
faust18 [17]

Answer:

(x+2)^2-2

Step-by-step explanation:

we have the expression

x^2+4x+2

Convert to vertex form

a(x-h)^2+k

where

a is the leading coefficient

(h,k) is the vertex

Complete the square

(x^2+4x+2^2)+2-2^2

(x^2+4x+2^2)-2

Rewrite as perfect squares

(x+2)^2-2

so

The coefficient a =1

The vertex is the point (-2,-2)

4 0
3 years ago
Find the minimum product of two numbers whose difference is 17. <br> what are the numbers?
Marysya12 [62]

A number is an arithmetic value that is used to represent a quantity and calculate it. The two numbers will be 17 and 0, so the product of the two is minimal.

<h3>What are Numbers?</h3>

A number is an arithmetic value that is used to represent a quantity and calculate it. Numericals are written symbols that represent numbers, such as "3."

Given the difference between the two numbers is 17. Let the first number be zero, then the second number will be 17. Thus, the product of the two numbers will be 0, which is the minimum.

If the first number is further increased such as 1, then the other number will be 18, and the product of the two will be 18, which is greater than zero.

Hence, the two numbers will be 17 and 0, so the product of the two is minimal.

Learn more about Numbers:

brainly.com/question/17429689

#SPJ1

7 0
1 year ago
16. What is the total number of different eight-letter arrangements that can be formed
lilavasa [31]
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