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2 years ago

Evaluate the following expression if w = 9, x = 7, and y = 1. wx + 4

Mathematics

2 answers:

My name is Ann [436]2 years ago

8 0

Answer:

Step-by-step explanation:

plug in values for w and x. you would get 9*7+4, which is 67!

Slav-nsk [51]2 years ago

6 0

Answer:

Step-by-step explanation:

We are given the expression:

$wx+4$

and asked to evaluate when w=9, x=7, and y=1.

The expression does not contain the variable y, so we can disregard it.

However, the expression does have the variable x and w. We can substitute 9 in for w and 7 in for x.

$(9)(7)+4$

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, multiply 9 and 7.

9*7=63

$63+4$

Next, add 63 and 4.

$67$

The expression wx+4 when evaluated for w=9 and x=7 is equal to 67.

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If 180° < α < 270°, cos⁡ α = −817, 270° < β < 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?

eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

$cos^{2} (x)+sin^2(x)=1$

step 1

Find the value of $sin(\alpha)$

we have that

The angle alpha lie on the III Quadrant

The values of sine and cosine are negative

$cos(\alpha)=-\frac{8}{17}$

Find the value of sine

$cos^{2} (\alpha)+sin^2(\alpha)=1$

substitute

$(-\frac{8}{17})^{2}+sin^2(\alpha)=1$

$sin^2(\alpha)=1-\frac{64}{289}$

$sin^2(\alpha)=\frac{225}{289}$

$sin(\alpha)=-\frac{15}{17}$

step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

$cos^{2} (\beta)+sin^2(\beta)=1$

substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

$cos^2(\beta)=\frac{9}{25}$

$cos(\beta)=\frac{3}{5}$

step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

$sin(\beta)=-\frac{4}{5}$

$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

4 0

3 years ago

Why are we teching hligh levels of math at lower grades

Oksanka [162]

Answer:

I have no idea

Step-by-step explanation:

people are weird

8 0

2 years ago

The table shows the number of each type of toy in a store. The toys will be placed on shelves so that each shelf has the same nu

puteri [66]

Hai! You're gonna need 15 shelves for all those toys. X)

7 0

2 years ago

N - 1/8 = 3/8 I am no smort and i forgot to study for a test =|

sdas [7]

Answer:

$\boxed{\sf{n=\dfrac{1}{2}=0.5 }}$

Step-by-step explanation:

Isolate the term of n from one side of the equation.

First, add by 1/8 from both sides.

n-1/8+1/8=3/8+1/8

Solve.

Add the numbers from left to right.

3/8+1/8=4/8

Common factor of 4.

4/4=1

8/4=2

Rewrite as a fraction.

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n=1/2

Divide is another option.

1/2=0.5

n=1/2=0.5

Therefore, the final answer is n=1/2=0.5.

I hope this helps you! Let me know if my answer is wrong or not.

3 0

1 year ago

At the grocery store 1/5 of the groceries are produce. Of the produce 2/3 is vegetables. What fraction of the groceries in the g

netineya [11]

If you have 1/5 and 2/3, you need a common denominator to even do anything. So three and five both go into 15, so then you do 2 times 5, cause 3 times 5 is 15. And 1 times 3, cause 3 times 5 is 15. So you end up with 3/15 as produce, and 10/15 as vegetables. So, then you divide the fractions, 1/5 divided by 10/15, which is the same as 1/5 times 15/10. So your answer is 3/10 of the produce is vegetables.

8 0

2 years ago