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IRISSAK [1]
3 years ago
14

6x + 5y = 147 8x + 4y = 156

Mathematics
1 answer:
satela [25.4K]3 years ago
3 0

Answer:

[12, 15]

Step-by-step explanation:

{6x + 5y = 147

{8x + 4y = 156

-¾[8x + 4y = 156]

{6x + 5y = 147

{-6x - 3y = -117 ← New Equation

________________

2y = 30

___ ___

2 2

y = 15 [Plug this back into both equations to get the x-coordinate of 12]; 12 = x

So, using the Elimination Method, what I did here was took the bottom equation and multiplied it by -¾, turning 8x to -6x, canceling out all <em>x-terms</em><em>.</em><em> </em>It does not matter which variable you choose to eliminate, as long as you know what you are doing.

I am joyous to assist you anytime.

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All trapezoids are parallelograms.<br><br> A. True<br> B. False
ale4655 [162]

Answer:

True

parallelogram is a quadrilateral with two pairs of parallel sides. A trapezoid has one pair of parallel sides .

6 0
3 years ago
Which statement is true about ∠1 and ∠2?
gavmur [86]

Answer: Most likely A

Step-by-step explanation:

the reason I say its A is because of the face that congruent means in line not and straight. Though in your answer it shows that they are not alined so that leaves us with complemantary and the 2 complementary answer choices are

A & C but C is wrong because it say alternate which also means the that they would be 2 different angels so yeah I'm gonna go for A.

Good luck :)

5 0
2 years ago
Can someone help me
Alexxandr [17]

Answer:

i) 0.1056

ii) 0.105

iii) 0.1

iv) 0.1056

Step-by-step explanation:

0.36, to the power of 2 (0.36×0.36) is 0.1296

0.1296-0.03×0.8=0.1056

6 0
2 years ago
The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is
alexgriva [62]
<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height

While the volume of half a sphere is:

V_{hs}=\frac{2}{3}\pi r^3

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

V_{s}=\frac{4}{3}\pi r^3

Then, the composite figure is:

V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)

The radius of the cylinder is the same of the radius of each half sphere. So:

r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}

7 0
3 years ago
If one zero of the polynomial (a^2+9)x^2+13x+6a is the reciprocal of the other, find the value of a.​
mihalych1998 [28]

Answer: a^2x^2+9x^2+13x+6a

Step-by-step explanation:

(a^2+9) x^2+ 13x +6a

x^2(a^2+9)+13x+6a

Expand:x^2(a^2+9): a^2 x^2+9^2

x^2 a^2 +x^2*9

a^2 x^2+9x^2

  a^2 x^2+9x^2+13x+6a

5 0
3 years ago
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