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3 years ago

Subtract the equations. 7x+2y=17 - (3x+2y=3)

Mathematics

2 answers:

Aneli [31]3 years ago

5 0

= 7x+2y=17

- (3x+2y=3)

= 7x+2y=17

-3x-2y=-3

= 7x+2y=17

-3x-2y=-3

= 4x = 14

= x = 14/4

MaRussiya [10]3 years ago

4 0

Answer: $x=\dfrac{7}{2}$

Step-by-step explanation:

The given equations are:

$7x+2y=17
............................................(1)\\\\\text{ and }3x+2y=32..............................(2)/tex]When we subtract equation (2) from equation (1) , we subtract the right hand side of equation (1) from the right hand side of equation (2) and similarly for left side equation, we get[tex]7x-3x+2y-2y=17-3\\\\\Rightarrow\(7-3)x+(2-2)y=17-3 \\\\\Rightarrow\ 4x+0=14\\\\\Rightrrow\ x=\dfrac{14}{4}=\dfrac{7}{2}$

Thus when we subtract the given equations, we get $x=\dfrac{7}{2}$

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What is 18.5% of $3200 ?

Naddik [55]

18.5% as a decimal is 0.185
0.186×3200= 592
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3 years ago

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Which equation represents the function graphed on the coordinate plane? g(x) = |x Ă˘â‚¬"" 4| Ă˘â‚¬"" 10 g(x) = |x 4| Ă˘â‚¬"" 10

natta225 [31]

The equation which represents the function graphed on the coordinate plane given is,

$|x+4|-10$

Thus, option B is the correct option.

Given-

The general form of the equation is,

$y=a|x-h|+k$

Let's compare it with the graph given. The graph opens upward with a slope of 1. Hence the value of $a$ is 1.

$y=|x-h|+k$

The vertex of the graph is shifted -4 to the right. Thus the value of the $h$ is -4.

$y=|x-(-4)|+k$

$y=|x+4|+k$

The graph is 10 down from the origin and hence, the value of k is -10.

$y=|x+4|-10$

Hence, The equation which represents the function graphed on the coordinate plane given is,

$|x+4|-10$

Thus, option B is the correct option.

For more about the coordinate plane, follow the link below-

brainly.com/question/13611766

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2 years ago

Is 1.75 a reasonable estimate of the value of the square root of 8

ladessa [460]

Answer:

Test it. Is 1.752 close to 8?

1.752 = 3.0625

3.0625 is not close to 8.

Step-by-step explanation:

8 0

2 years ago

Pls help<br> 16x^2-64x=0

Slav-nsk [51]

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3 years ago

The sides of a Triangle are in the ratio 11 19:24 and

Paul [167]

Answer: The area of the triangle with the perimeter of 540 cm is approximately 10200 cm²

More exactly: 10182 cm²

Step-by-step explanation: $A=\frac{bh}{2}$

240 × 84.85 = 10182

To get the height of the triangle, it takes some trigonometry;

Given 3 sides of a triangle, it is possible to calculate the angles using the Law of cosines and the formula $cos A =\frac{b^{2} +c^{2} -a^{2} }{2bc}$

We will need the measure of angle A, then use the sine of A to get the height of the line from angle C perpendicular to the base, side b.

We can use the dimensions given in the proportions and then multiply by 10 because the sides given add to a perimeter of 54, one tenth of the 540 cm of the actual triangle. The angles of the similar triangles are congruent.

side a = 19, side b = 24, side c = 11

24² + 11² - 19² is 576 + 121 - 361 = 336

2(24)(11) = 528

cos A = 336 / 528 that is 0.636364 $\cos^{-1}\left(.6363634\right)$ = 50.47°

sin(50.47) = 0.77129

0.77129 × 11 = 8.48 is the height Rounding to 8.5 would be reasonable for this height

Using rounded values here to calculate Area :

85 × 240/2 = 10200 cm²

8 0

2 years ago