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2 years ago

Help me pls

Mathematics

1 answer:

mylen [45]2 years ago

3 0

The smallest number of crackers she can pack is 24.

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Which polynomial identity will prove that 49 − 4 = 45?

Marizza181 [45]

49 is a square of 7 and 4 is a square of 2. To get 45 you need to subtract 7² and 2². Therefore, its the difference of squares.

3 0

3 years ago

What is the length of AC? 3 ft 4 ft 9 ft 18 ft

iragen [17]

Answer: The length of AC is 18 ft.

Step-by-step explanation:

By the given diagram,

AM = MB and CN = NB

M and N are the mid points of the sides AB and CB respectively,

Thus, by the mid point theorem,

MN ║ AC,

By the alternative interior angle theorem,

∠BMN ≅ ∠BAC

∠BNM ≅ ∠BCA

Thus, by AA similarity postulate,

ΔBMN ≅ ΔBAC

By the property of similar triangles,

$\frac{BM}{BA}=\frac{MN}{AC}$

$\frac{BM}{BM+MA}=\frac{MN}{AC}$

$\frac{4}{4+4}=\frac{9}{AC}$

$\frac{4}{8}=\frac{9}{AC}$

$4AC=72\implies AC = 18\text{ ft}$

Thus, The length of AC is 18 ft.

5 0

3 years ago

Read 2 more answers

Find the area of the trapezoid

bija089 [108]

Answer:

Please the attached file for the answer. I hope that helps

4 0

3 years ago

Read 2 more answers

2log(2a - 1) = 0 How

Kryger [21]

Answer:

Step-by-step explanation:

$2\log(2a-1)=0\\\\\text{Domain:}\\\\2a-1>0\qquad\text{add 1 to both sides}\\2a-1+1>0+1\\2a>1\qquad\text{divide both sides by 2}\\\dfrac{2a}{2}>\dfrac{1}{2}\\\boxed{a>0.5}\\============================\\\\2\log(2a-1)=0\qquad\text{divide both sides by 2}\\\\\dfrac{2\!\!\!\!\diagup\log(2a-1)}{2\!\!\!\!\diagup}=\dfrac{0}{2}\\\\\log(2a-1)=0\qquad\text{use}\ \log_ab=c\iff b=a^c\\\\\log(2a-1)=\log10^0\\\\\log(2a-1)=\log1\iff2a-1=1\qquad\text{add 1 to both sides}\\\\2a-1+1=1+1\\\\2a=2\qquad\text{divide both sides by 2}\\\\\dfrac{2a}{2}=\dfrac{2}{2}\\\\a=1\in D$

3 0

3 years ago

When asked to write a point slope equation for a line passing through the points (-4,-7) and (3,2) a student wrote y-2=-9/7(x-3)

AleksAgata [21]

First let's find the slope
Slope formula:
$\frac{y_2-y_1}{x_2-x_1} =slope$
Given the two coordinates:
(-4,-7) (3,2)
x1,y1 x2,y2

Plug these numbers into the formula
$\frac{2-(-7)}{3-(-4)} = \frac{9}{7}$
In this case the mistake that was made was that the student wrote the slope negative instead of positive
Final answer:
y-2=9/7(x-3)

8 0

3 years ago