Ask question

Ask question

All categories

3 years ago

9

Yesterday, Linda had 71 baseball cards. Today, she gave d away. Using d, write an expression for the number of cards Linda has l

eft.

2 answers:

zvonat [6]3 years ago

8 0

71-d

EXPLAINING:
So you start with 71. And you know she gave some away therefore you subtract. It gives you a variable to use as well.

dezoksy [38]3 years ago

3 0

Answer:

71-d

Step-by-step explanation:

You might be interested in

Manuel is planting a garden in the shape of a right triangle. The longer leg is 3 ft longer than the shorter leg. The hypotenuse

Gnesinka [82]

Answer:

The length of shorter side of triangle is 9 cm

The length of longer side of triangle is 12 cm

The length of hypotenuse is 15 cm

Step-by-step explanation:

Given as , for the garden in the shape of right triangle :

Let The length of shorter side = B = x ft

So , the length of longer side = P = ( x + 3 ) ft

And The hypotenuse length = H = ( 3 + P ) ft

I.e H = ( 3 + x + 3 ) ft = ( x + 6 ) ft

Now<u> from Right angled Triangle method </u>

Hypotenuse² = Perpendicular² + Base²

Or, ( x + 6 )² = ( x + 3 )² + x²

Or, x² + 12 x + 36 = x² + 6 x + 9 + x²

Or, - x² + 6 x + 27 = 0

Or, - x² + 9 x - 3 x + 27 = 0

Or, - x ( x - 9 ) - 3 ( x - 9 ) = 0

So, ( x - 9 ) ( - x - 3 ) = 0

∴ x = 9 , - 3

So, shorter length = x = 9 cm

The longer length = x + 3 = 9 + 3 = 12 cm

The hypotenuse length = x + 6 = 9 + 6 = 15 cm

Hence The length of shorter side of triangle is 9 cm

The length of longer side of triangle is 12 cm

And The length of hypotenuse is 15 cm . Answer

6 0

3 years ago

Factor the expression below:<br> X^2-10x+25

vitfil [10]

$\textbf{ \underline{Using middle term splitting:}} \\ \\ {x}^{2} - 10x + 25 \\ = {x}^{2} - 5x - 5x + 25 \\ = x(x - 5) - 5(x - 5) \\ = (x - 5)(x - 5) \\ = {(x - 5)}^{2}$
___________________________

$\textbf{ \underline{Using identity: }} \underline{ {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} }\\ \\ {x}^{2} - 10x + 25 \\ = {(x)}^{2} - 2 \times 5 \times x + {(5)}^{2} \\ = {(x - 5)}^{2}$

4 0

4 years ago

Can anyone help me with my homework?

OverLord2011 [107]

"22", "7" and "7,5" are the answers in order

3 0

3 years ago

Please answer the question in the image

seraphim [82]

Answer:

- $\frac{1}{14}$

Step-by-step explanation:

Given

$\frac{1}{2}$ × - $\frac{1}{7}$ ( multiply numerators and denominators together )

= - $\frac{1(1)}{2(7)}$

= - $\frac{1}{14}$

7 0

3 years ago

Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length o

kumpel [21]

Answer:

Three-fourths

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

∠QSR≅∠XZY ---> given problem

∠QRS≅∠XYZ ---> given problem

so

△QRS ~ △XYZ ----> by AA Similarity theorem

Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

That means

$\frac{QS}{XZ}=\frac{QR}{XY}=\frac{RS}{YZ}$

∠Q≅∠X

∠R≅∠Y

∠S≅∠Z

<em>In the right triangle XYZ</em>

Find the tangent of angle X

$tan(X)=\frac{YZ}{XZ}$ ---> opposite side angle X divided by adjacent side angle X

substitute the given values

$tan(X)=\frac{9}{12}$

Simplify

$tan(X)=\frac{3}{4}$

Remember that

∠Q≅∠X

so

$tan(Q)=tan(X)$

therefore

$tan(Q)=\frac{3}{4}$ ---->Three-fourths

7 0

3 years ago

Read 2 more answers