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2 years ago

Evaluate this exponential expression. 4. (2 + 5)2 - 52 =

Mathematics

2 answers:

egoroff_w [7]2 years ago

7 0

Answer:

C. 171

Step-by-step explanation:

$4\cdot (2+5)^2-5^2\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(2+5\right)\::\quad 7\\=4\cdot \:7^2-5^2\\\\\mathrm{Calculate\:exponents}\:7^2\::\quad 49\\=4\cdot \:49-5^2\\\\\mathrm{Calculate\:exponents}\:5^2\::\quad 25\\=4\cdot \:49-25\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\cdot \:49\::\quad 196\\=196-25\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:196-25\:\\:\quad 171\\$

Katen [24]2 years ago

6 0

C.171

Step-by-step explanation:

4×7(2)-25

4×49-25

multiply 4×49=196-25

then subtract 196-25=171

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Write in point-slope form the equation of the line that is parallel to the given line and passes through the given point.Your fi

SOVA2 [1]

Answer:

$y = x$

Step-by-step explanation:

The given equation is

$y = x + 5$

The slope of this line

$m = 1$

Since all parallel lines have the same slope, the slope of our line is also m=1.

We now use the point-slope formula

$y-y_1=m(x-x_1)$

Since the line passes through (-1,-1)

We gave

$x_1=-1,y_1=-1$

We substitute the slope and point to get

$y - - 1 = 1(x - - 1)$

$y + 1 = x + 1$

$y = x$

6 0

2 years ago

A refrigerator box measures 11 feet by 6 feet by 6 feet Sam decides to fill up the box three-fourths with trash how much space w

IRINA_888 [86]

Answer:

297 feet

Step-by-step explanation:

11 × 6 × 6 = 396

396 × 3/4= 297 ft

3 0

2 years ago

Point U is on line segment TV . given TU=4 UV=5x and TV=3x+6 determine the numerical lenth of TV

adelina 88 [10]

TU=13; UV= 13; TV=26

Step-by-step explanation:

Hope this helped!

6 0

2 years ago

Read 2 more answers

I'm really confused about this question about Solving Systems by Elimination

velikii [3]

Answer:

x=10

y=2

Step-by-step explanation:

1)add the equations and find what x is.

x-y=8

+x+y=12

—————

2x=20

— —

2 2

x=10

3)fill in x for the second equation.

x+y=12

since x=10,replace x with 10.

10+y=12.

subtract 19 from both sides.

10+y=12

-10 -10

—————-

y=2

4 0

2 years ago

How many solutions does a triangle with side lengths a = 4, A = 112º and b =<br>9 have?

Ainat [17]

Answer:

This case has NO solutions.

Step-by-step explanation:

Notice that you are in a case of an obtuse triangle (one of its angles is larger than 90 degrees), the side opposite to the obtuse triangle is shorter than the side adjacent to the angle, so no actual triangle can be formed.

This can be found by simply trying to apply the Law of Sines to solve for the value of angle "B" opposite to side "b":

$\frac{sin(A)}{a} =\frac{sin(B)}{b}\\sin(B)=\frac{b\,sin(A)}{a}\\sin(B)=\frac{9\,sin(112^o)}{4}\\\\sin(B)=2.086$

As shown above, we get an impossible mathematical condition (also call an absurd), since the sine of an angle cannot give a value larger than 1 (one).

Therefore, there is no angle we can find to build a triangle with the given data.

7 0

2 years ago