All categories

3 years ago

I need help with this math question :(

Mathematics

1 answer:

Ray Of Light [21]3 years ago

8 0

Answer:

k = 5,

y = 5x

Step-by-step explanation:

If y is proportional to x,

y ∝ x

Then the equation will be

y = kx

Her k = proportionality constant.

Now we choose a point from the given table.

Let the point is (2, 10).

By putting the values of x and y in the equation,

10 = 2×k

k = $\frac{10}{2}$

k = 5

This will be true for any point we choose from the table.

And the equation will be y = 5x

You might be interested in

The table below shows the relative frequencies of the color of cars bought last month by males and females. Which percentage rep

bezimeni [28]

31%.

The car bought most often by both males and females collectively is the white car. That has a total frequency of 0.31 out of 1 or, 31/100

3 0

3 years ago

10 points

dsp73

Answer:

Step-by-step explanation:

I hope this helps and sorry if I'm wrong!

4 0

2 years ago

If Triangle ABC= triangle DEF, which statement must be true?

arlik [135]

The statement must be true is AC = DF ⇒ A

Step-by-step explanation:

When two triangles are congruent, then

Their corresponding sides are equal in lengths
Their corresponding angles are equal in measures
Their perimeters and areas are equal

∵ ΔABC ≅ DEF

- Their corresponding sides and angles are equal

∴ AB = DE ⇒ AB is the corresponding side of DE

∴ BC = EF ⇒ BC is the corresponding side of EF

∴ AC = DF ⇒ AC is the corresponding side of DF

∴ ∠A ≅ ∠D ⇒ ∠A is the corresponding angle of ∠D

∴ ∠ABC ≅ ∠DEF ⇒ ∠ABC is the corresponding angle of ∠DEF

∴ ∠C ≅ ∠F ⇒ ∠C is the corresponding angle of ∠F

- Look to the answer to find the correct statement

∴ AC = DF

The statement must be true is AC = DF

Learn more:

You can learn more about the congruent of triangles in brainly.com/question/6108628

#LearnwithBrainly

7 0

3 years ago

Without a calculator how would you solve this?

mina [271]

Answer:

the largest number that is less than (2+√3)^6 is 2701

Step-by-step explanation:

$\bigstar \ (2+\sqrt{3})^6= \\\\C{}^{0}_{6}2^{6}+C{}^{1}_{6}2^{5}\sqrt{3}^1+C{}^{2}_{6}2^{4}\sqrt{3}^2+C{}^{3}_{6}2^{3}\sqrt{3}^3+C{}^{4}_{6}2^{2}\sqrt{3}^4+C{}^{5}_{6}2^{1}\sqrt{3}^5+C{}^{6}_{6}\sqrt{3}^6$

$=64+192\sqrt{3}+720 +480\sqrt{3} +540+108\sqrt{3} +27\\=1351+780\sqrt{3}$

$\bigstar\ (2-\sqrt{3} )^6 =\\\\1351-780\sqrt{3}$

$\bigstar\ \bigstar\ (2+\sqrt{3} )^6+(2-\sqrt{3} )^6 =\\\\1351+780\sqrt{3}+1351-780\sqrt{3}$

$\Longrightarrow(2+\sqrt{3} )^6+(2-\sqrt{3} )^6 =2702$

$\Longrightarrow(2+\sqrt{3} )^6 =2702-(2-\sqrt{3} )^6$

$0 < \left( 2-\sqrt{3} \right) < 1 \Longrightarrow 0 < \left( 2-\sqrt{3} \right)^{6} < 1 \Longrightarrow-1 < \left( 2-\sqrt{3} \right)^{6} < 0$

$\Longrightarrow2702-1 < 2702-\left( 2-\sqrt{3} \right)^{6} < 2702+0$

$\Longrightarrow 2701 < \left( 2+\sqrt{3} \right)^{6} < 2702$

8 0

2 years ago

Lin surveyed a class of sixth-graders asking how many hours they spend online every month.

Blizzard [7]

They spend about three hours a day online

3 0

2 years ago