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monitta
3 years ago
7

Simplify.

Mathematics
2 answers:
Semmy [17]3 years ago
7 0
The answer will be D 15m+2n
grigory [225]3 years ago
7 0
First one is 15m+2n, you have to add (or subtract)  all the same familys
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What is the y-intercept of f(x)=(1/4)^x<br> A. (1,0)<br> B. (1 1/14)<br> C. (0,0)<br> D. (0,1)
evablogger [386]

Answer:

D

Step-by-step explanation:

firstly,y-intercept, x=0,A and b wrong

sub x=0

0.25⁰=1

(0,1)

D

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3 years ago
What is the y intercept of this line?<br> y=x-2 <br> PLS SOLVE ASAP!!!
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-2 is the y intercept
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3 years ago
Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
melamori03 [73]

Answer:

6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}

Step-by-step explanation:

The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.

Vertices A, B, and C form a right triangle with legs AB=3, BC=4, and AC=5. The two legs, 3 and 4, represent the triangle's height and base, respectively.

The area of a triangle with base b and height h is given by A=\frac{1}{2}bh. Therefore, the area of this right triangle is:

A=\frac{1}{2}\cdot 3\cdot 4=\frac{1}{2}\cdot 12=6\:\mathrm{cm^2}

The other triangle is a bit trickier. Triangle \triangle ADC is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:

A=\sqrt{s(s-a)(s-b)(s-c)}, where a, b, and c are three sides of the triangle and s is the semi-perimeter (s=\frac{a+b+c}{2}).

The semi-perimeter, s, is:

s=\frac{5+5+4}{2}=\frac{14}{2}=7

Therefore, the area of the isosceles triangle is:

A=\sqrt{7(7-5)(7-5)(7-4)},\\A=\sqrt{7\cdot 2\cdot 2\cdot 3},\\A=\sqrt{84}, \\A=2\sqrt{21}\:\mathrm{cm^2}

Thus, the area of the quadrilateral is:

6\:\mathrm{cm^2}+2\sqrt{21}\:\mathrm{cm^2}=\boxed{6+2\sqrt{21}\:\mathrm{cm^2}}

4 0
3 years ago
Three green jelly bean, five red jelly beans and two orange jelly bean are in a bag.
IrinaVladis [17]

Answer:

3/50

Step-by-step explanation:

3 g, 5 r, 2 o

3 + 5 + 2 = 10

Orange = 2 jelly beans

Probability of selecting an orange jelly bean: 2/10 or 1/5

If you put the jelly bean back in, there is still 10 jelly beans.

Green = 3 jelly beans

Probability of selecting a green jelly bean: 3/10

Multiply the probabilities:

1/5 x 3/10

= 3/50

7 0
3 years ago
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What temperature Fahrenheit would give a temperature of 5 C?
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41 Fahrenheit is 5 Celsius
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