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Vikentia [17]
3 years ago
15

Which is a solution for the following system of inequalities?

Mathematics
1 answer:
professor190 [17]3 years ago
6 0
It is (0,5). If you plug in 0 for x and 5 for y, then you will see that the inequalities are true.
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19 - k = 4. <br><br><br><br><br>I need help​
Marysya12 [62]

Answer:

15

Step-by-step explanation:

first you have to subtract 4 from 19 to get what k is. that should be your answer. good luck!

5 0
2 years ago
Is it (sss) (side side side ) Hypotenuse-Leg (HL), ssa?(sas) aaa,asa,aas?
Reil [10]
  • Here, both the triangles have equal sides.
  • So, the two triangles are related by SSS.
  • If all the sides of a triangle are equal to all the sides of another triangle, so the triangles are congruent to each other.

<u>Answer</u><u>:</u>

<u>SSS,</u><u> </u><u>congruent.</u>

Hope you could get an idea from here.

Doubt clarification - use comment section.

4 0
2 years ago
The length of a rectangle is 2 units more than the width. The area of the rectangle is 48 units. What is the width, in units, of
IRINA_888 [86]

Answer:

6 units

Step-by-step explanation:

A = lw

l = w + 2

48 = lw

48 = (w + 2)w

48 = w² + 2w

0 = w² + 2w - 48

Quadratic equation results =

w = 6 or w = -8

But the measure could not be negative, therefore w = 6

5 0
3 years ago
Solve for x and y
bekas [8.4K]

Answer:

x = 2√2

y = 2√6

Step-by-step explanation:

Consider the ratio of the two legs of the two smaller interior right triangles. (refer to attached diagrams for the triangles - I have outlined one in blue and the other in red)

These will be equal since the triangles are similar

shorter leg : longer leg

(blue triangle = red triangle)

⇒ x : 4 = 2 : x

⇒ x/4 = 2/x

⇒ x² = 8

⇒ x = √8

⇒ x = 2√2

Now we have x, we have the two legs of the right triangle with hypotenuse labelled y.

Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse)

⇒ 4² + (2√2)² = y²

⇒ y² = 24

⇒ y = √24

⇒ y = 2√6

7 0
2 years ago
Use the compound interest formula to determine the final value of the following amount. $1900 at 10.4% compounded monthly for 4.
nikklg [1K]

Answer:

$3027.80

Explanation:

The compound interest formula is the following.

A=P(1+\frac{r}{n})^{nt}

where

A = final amount

P = principle amount

r = interest rate / 100

n = number of compounds per interval

t = time interval

Now in our case,

A = unknown

P = $1900

r = 10.4/100

n = 12 months / year ( because the interest is compounded monthly)

t = 4.5 yrs

Therefore, the compound interest formula gives

A=1900(1+\frac{10.4/100}{12})^{12*4.5}

Using a calculator, we evaluate the above to get

\boxed{A=\$3027.80}

which is our answer!

8 0
1 year ago
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