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2 years ago

What is the y -value of the solution to the system of equations shown? 6x=3y−24 4x+5y=−2

Mathematics

1 answer:

Vlada [557]2 years ago

8 0

Answer:

y = 2 and x = -3 the solutions of the equation

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5 liters at $15.25<br> x liters at $33.55

babunello [35]

Answer:

x=2

Step-by-step explanation:

shdhvejsjheuhchsjcyhejc7738

5 0

3 years ago

Read 2 more answers

Triangle $ABC$ has a right angle at $B$. Legs $\overline{AB}$ and $\overline{CB}$ are extended past point $B$ to points $D$ and

Lisa [10]

Answer:

Given :

ABC is a right triangle in which ∠ABC = 90°,

Also, Legs AB and CB are extended past point B to points D and E,

Such that,

$\angle EAC = \angle ACD = 90^{\circ}$

To prove :

$EB\times BD=AB\times BC$

Proof :

In triangles AEC and EBA,

∠EAC= ∠ABE ( right angles )

∠CEA = ∠AEB ( common angles )

By AA similarity postulate,

$\triangle AEC \sim \triangle EBA$ ,

Similarly,

$\triangle AEC \sim \triangle ABC$

$\implies\triangle EBA\sim \triangle ABC-----(1)$

Now, In triangles ADC and CBD,

∠ACD = ∠CBD ( right angles )

∠ADC= ∠BDC ( common angles )

By AA similarity postulate,

$\triangle ADC \sim \triangle CBD$ ,

Similarly,

$\triangle ADC \sim \triangle ABC$

$\implies \triangle CBD\sim \triangle ABC-----(2)$

From equations (1) and (2),

$\triangle EBA\sim \triangle CBD$

The corresponding sides of similar triangles are in same proportion,

$\frac{EB}{BC}=\frac{AB}{BD}$

$\implies EB\times BD=AB\times BC$

Hence, proved....

5 0

3 years ago

A 10-foot ladder touches the side of a building at a point 8 feet above the ground. At what height would a 22-foot ladder touch

WARRIOR [948]

<h2>Answer:</h2>

8.75 feet

Given that a 12 foot ladder leans against a building seven feet above the ground.

By using trigonometry ratio, the angle between the ladder and the ground will be

SinØ = opposite/ hypothenus

SinØ = 7 / 12

SinØ = 0.58333

Ø = Sin^-1(0.58333)

Ø = 35.69 degree

At what height would an 15 foot ladder touch the building if both ladders form the same angle with the ground?

Using the same trigonometric ratios

SinØ = opposite/hypothenus

Sin 35.69 = opposite/ 15

Cross multiply

Opposite = 15 × sin 35.69

Opposite = 8.75 feet

Therefore, the ladder will touch the building if both ladders form the same angle with the ground at height 8.75 feet.

6 0

2 years ago

Please someone help me.

Nuetrik [128]

Answer:

4.8 x 10⁷

Step-by-step explanation:

Refer to attachment.

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>

8 0

2 years ago

Which expression is equivalent to this one?<br> j-6+j•s<br> O6+)<br> O6+)<br> D3(6+):s

artcher [175]

I think 3 but u can try other ones

4 0

2 years ago