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3 years ago

9

What's the value of x and y when 4x+y=210 and 3x+2y=195?

2 answers:

noname [10]3 years ago

8 0

After substitution method, I got x=45 and y=30

adell [148]3 years ago

7 0

You already hve the answer, but you do this by turning the equation into standard form. Since we are isolating y for each linear equation, we must first subtract the 4x and 3x on both sides. This should come out to y=-4x+219 and 2y=-3x+195. Since we have our first equation in standard form, all we have go do is divide 2 on both sides frome the second equation. Then you can solve by substitution (y=y)

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Can someone help me? With all the problems and with work

Lemur [1.5K]

Answer:

5.006

41.056

31.289

51.977

7.884

Step-by-step explanation:

1) sin x = opposite side / hypotenuse

sin 24.3° = 2.06 / hyp

hyp = 2.06 / sin 24.3 = 5.<u>0059</u>006616019108320511866543651

rounding to 3 significant figures

= 5.006

2)cos x = adjacent side / hypotenuse

cos 47 = 28 / x

x = 28 / cos 47 = 41.<u>0558</u>17197909497891901840157945

= 41.056

3) cos x = adjacent side / hypotenuse

cos 56.1 = x / 56.1

x = 56.1 * cos 56.1 = 31.<u>2895</u>00613760617368691451544764

= 31.289

4) tan x = opposite side / adjacent side

tan 68 = x / 21

x = 21 * tan 68 = 51.<u>9768</u>239217422123300402781676

= 51.977

5) sin x = opposite side / hypotenuse

sin 21 = x / 22

x = 22 * sin 21 = 7.<u>8840</u>948899966060166510313670963

= 7.884

4 0

3 years ago

What is the y-intercept of y = - 2x + 6

Scrat [10]

Answer:

6

Step-by-step explanation:

slope formula y=mx+b

m=slope

b=y-intercept

7 0

3 years ago

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Verizon [17]

Answer:

Work out the area of ABCD.

4 0

2 years ago

Read 2 more answers

Is 0.17 less than 0.32

Gre4nikov [31]

Answer:

Yes, If you see the 1st number after the decimal they are 1 and 3. Which is larger? It is 3. So 0.17 is less.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The terminal side of an angle θ in standard position passes through the point (3, 1). Calculate the exact values of the six trig

patriot [66]

Answer:

sin α = $\frac{y}{r}$ = $\frac{1}{\sqrt{10} }$

cos α = $\frac{x}{r}$ = $\frac{3}{\sqrt{10} }$

tan α = $\frac{y}{x}$ = $\frac{1}{3}$

cot α = $\frac{x}{y}$ = $\frac{3}{1}$

sec α = $\frac{r}{x}$ = $\frac{\sqrt{10} }{3}$

csc α = $\frac{r}{y}$ = $\frac{\sqrt{10} }{1}$

Step-by-step explanation:

If the point is given on the terminal side of an angle, then:

Calculate the distance between the point given and the origin:

r = $\sqrt{x^2+y^2}$

Here it is: $\sqrt{3^2+1^2}$ = $\sqrt{9+1}$ = $\sqrt{10}$

So we have:

x = 3

y = 1

r = $\sqrt{10}$

Now we can calculate all 6 trig, functions:

sin α = $\frac{y}{r}$ = $\frac{1}{\sqrt{10} }$

cos α = $\frac{x}{r}$ = $\frac{3}{\sqrt{10} }$

tan α = $\frac{y}{x}$ = $\frac{1}{3}$

cot α = $\frac{x}{y}$ = $\frac{3}{1}$

sec α = $\frac{r}{x}$ = $\frac{\sqrt{10} }{3}$

csc α = $\frac{r}{y}$ = $\frac{\sqrt{10} }{1}$

6 0

2 years ago