All categories

2 years ago

The point (7, 8) is the solution of which of the following systems of equations?

Mathematics

2 answers:

Alex73 [517]2 years ago

8 0

Option 4

Verification:-

$\\ \sf\longmapsto x-7y=-49$

$\\ \sf\longmapsto 7-7(8)=-49$

$\\ \sf\longmapsto 7-56=-49$

$\\ \sf\longmapsto -49=-49$

And

$\\ \sf\longmapsto 10x+9y=142$

$\\ \sf\longmapsto 10(7)+9(8)=142$

$\\ \sf\longmapsto 70+72=142$

$\\ \sf\longmapsto 142+142$

Hence verified

Evgesh-ka [11]2 years ago

6 0

Answer:

Step-by-step explanation:

1. 8x - y = 48

9x + 10y = 142

8(7) - 8 = 48

9(7) + 10(8) = 143

2. 9x - y = 55

8x + 10y = 140

9(7) - 8 = 55

9(7) - 10(7) = -24

3. x-6y=-41

8x + 9y = 127

7 - 6(8) = -41

8(7) + 9(8) = 128

4. x-7y=-49

10x + 9y = 142

7 - 7(8) = 49

10(7) + 9(8) = 142

Yes

You might be interested in

What is the value of f in the equation f+1/6=3/7

kari74 [83]

11/42
The way I got it is because I took 1/6 minus 3/7 to get the answer of f=11/42

4 0

2 years ago

Read 2 more answers

What is the simplified form of 10,000x64 ? O 5000x32 O 5000x O 100x® O 100x32

andrew-mc [135]

$\large \boxed {\sf \color{purple}Option \: D) {100}^{32} }$

$\large\sf \sqrt{10,000 {x}^{64}}$

$\large \sf( {10}^{4} \times {x}^{64}) \frac{1}{2}$

$\large \sf \: 10 \frac{4}{2} \times x \frac{64}{2}$

$\large \sf \: {10}^{2} \times {x}^{32}$

$\large \boxed{ \sf \red{{100}^{32}}}$

<h3>Hope It's Helps</h3>

7 0

2 years ago

Read 2 more answers

Is the line of best fit y=-2.9114x+40.7464 or y=-2.9114x+46.5693 ? Please help i’m in a rush!

Colt1911 [192]

Answer:

line of best fit: y = -2.9114x + 46.569

Step-by-step explanation:

Plugging in your table into Excel, it turns out that y = -2.9114x + 46.569 provides a better fit of the data points into the line. Please see the attached image for details.

Hope this helps.

3 0

2 years ago

Which of these four sets of side lengths will form a right triangle? Set 1 4 cm, 5 cm, 6 cm Set 2 8 in., 12 in., 20 in. Set 3 10

Alenkasestr [34]

Answer: The correct option is (D) SET 4.

Step-by-step explanation: We are to select the correct set of side lengths that will form a right-angled triangle.

To form a right-angled triangle, we must have the following relation:

Perpendicular² + Base² = Hypotenuse².

Hypotenuse is the length of the largest side; perpendicular and base are the two legs of the triangle.

SET 1 : 14 cm, 5 cm, 6 cm.

We have

$5^2+6^2=25+36=61,\\\\14^2=196.$

Therefore,

Perpendicular² + Base² ≠ Hypotenuse².

So, this set will not form a right-angled triangle.

SET 2 : 8 in., 12 in., 20 in.

We have

$8^2+12^2=64+144=208,\\\\20^2=400.$

Therefore,

Perpendicular² + Base² ≠ Hypotenuse².

So, this set will not form a right-angled triangle.

SET 3 : 10 mm, 20 mm, 30 mm.

We have

$10^2+20^2=100+400=500,\\\\30^2=900.$

Therefore,

Perpendicular² + Base² ≠ Hypotenuse².

So, this set will not form a right-angled triangle.

SET 4 : 12 ft, 16 ft, 20 ft.

We have

$12^2+16^2=144+256=400,\\\\20^2=400.$

Therefore,

Perpendicular² + Base² = Hypotenuse².

So, this set will form a right-angled triangle.

Thus, the SET 4 will form a right-angles triangle.

Option (D) is correct.

5 0

3 years ago

Read 2 more answers

Angel jogged around the park in 1 1/4 hr chris jogged same distance in 5/6 hrs how much longer did angel take then chris in hr??

QveST [7]

You will have to get the difference and get a common denominator but first combine the mixed number:
$1 \: \frac{1}{4} - \frac{5}{6} = \frac{5}{4} - \frac{5}{6} = \frac{15}{12} - \frac{10}{12}$
Then subtract the numbers
$\frac{15}{12} - \frac{10}{12} = \frac{5}{12}$
Angel took 5/12 hours longer than Chris

6 0

3 years ago