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3 years ago

Help on both of these pls also sry the lighting is weird

Mathematics

1 answer:

IRISSAK [1]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

The 2 angles form a right angle, thus their sum is 90°, hence

4x + 7 + 35 = 90

4x + 42 = 90 ( subtract 42 from both sides )

4x = 48 ( divide both sides by 4 )

x = 12

-----------------------------------------------------

To calculate the slope m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 4) ← 2 points on the line

m = $\frac{4-0}{1-0}$ = $\frac{4}{1}$ = 4

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If x and y are integers greater than 1, is x a multiple of y ? (1) \small 3y^{2}+7y=x (2) \small x^{2}-x is a multiple of y. Sta

Nata [24]

Answer:

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Step-by-step explanation:

A multiple of a number is obtained after multiplying the number by an integer.

Here,

x, y are any two integers greater than 1,

(1) We have,

$\small 3y^{2}+7y=x$

$\implies y(3y+7) = x$

∵ y is an integer ⇒ 3y + 7 is also an integer,

⇒ y × an integer = x

That is, when we multiply y by a number we obtain x,

∴ x is a multiple of y.

Thus, statement (1) ALONE is sufficient.

(2),

$\small x^{2}-x\text{ is a multiple of y}$

I.e.

$y\times a = x^2-x$ , where a is an integer,

$\implies y\times a = x(x-1)$

∵ x and x - 1 are disjoint numbers,

There are three possible cases,

Case 1 : x is multiple of y

Case 2 : (x-1) is a multiple of y,

Case 3 : neither x nor x - 1 are multiple of y but their product is multiple of y,

Thus, statement (2) is not sufficient.

8 0

3 years ago

Please help me I will offer 20 points

sveticcg [70]

Answer:

9.3 x 8.5 = 79.05

7.6 x 2.4 = 18.24

an easier way to multiply decimals is to take away decimals and add later

example: 9.3x8.5 > 93x85 = 7905 since there are two places behind the decimal add that many to the solution 7905 > 79.05

5 0

3 years ago

The sum of 32 and 5 times a number is 17

Mrrafil [7]

"Sum of 32 and 5 times a number " translates to:

(32 + 5) × n

Then, it says "is 17"

So, (32 + 5) × n = 17. Let's solve!

32 + 5 = 37

37 × n = 17

To find n, we just divide 17 by 37. However, that equates to a repeating decimal, so it is best to put the answer as:

$\frac{17}{37}$

7 0

3 years ago

Vadim26 [7]

Answer:

Step-by-step explanation:

So first, we have to test the pairs. Let start with equation 1.

7=\=3 x

4=\=2 x

0=0 ✓

4=4 ✓

Now we only have to test B and D.

0=\=-1

4=4 ✓

D is the correct answer.

7 0

2 years ago

C U12122 Write a Sum or Difference as a Product A 8 Questions 1. Use the GCF to rewrite the sum as a product. 30 + 16 a) 8 (3+2)

Alex73 [517]

Answer:

2(15+8)

Step-by-step explanation:

Given the expression 30+16

We are to use GCF to rewrite the sum as a product.

Get the factor of each value first as shown;

30 = 2 * 15

16 = 2 * 8

substitute the factors back into the expression:

30+16 = (2*15)+(2*8)

Since 2 is common to both terms, then:

30+16 = 2(15+8)

Hence the required sum of product of the terms is 2(15+8)

8 0

2 years ago