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Answer 1

This attachment is for Question :—(d) ☝️☝️

*Question:— (a)

→ Check whether the point (1,-2) lies on the graph of the equation 4x + 7y = 9.

*Answer:—

TO CHECK :—

The point (-1,2) lies on the graph of eq. 4x+7y=9

Solution:—

Put (-1,2) in place of x and y. in the given eq. 4x+7y=9

→ 4(-1) + 7(2)

→ -4 + 14

→ -10

Hence,

→ 2 is not equal to -10 .

We can say that these points are not on the line 4x+7y=9.

*Question:— (b)

An object is sold at a profit of 25% . What is the ratio of cost price to selling price.

*Answer:—

Here,

Profit 25% = 1/4

Let CP = 4, profit = 1,

SP = 4 + 1 = 5

If selling price is doubled.

→ New SP = 5 × 2 = 10

→ CP = 4, SP = 10

→ Profit = 10 - 4 = 6 units

→ Profit% will be = 6/4 × 100

→ Profit = 150%

Hence our answer is 150.

*Question:—(c)

The area of a circular base is 616 sq.cm. Find the perimeter.

*Answer:—

The circumference of the circle is 88 cm.

Step-by-step explanation:—

Given :—

→ The area of the circle is 616 cm square.

To find :—

→ The circumference of the circle ?

Solution :—

The area of the circle is A = πr²A

→ 616 = 22/7 × r²

→ r² = 616 × 7/22

→ r = √196

→ r = √14 × 14

→ r = 14

The radius of the circle is r=14 cm.

The circumference of the circle is C = 2πr

→ C = 2 × 22/7 × 14

→ C = 88

The circumference of the circle is 88 cm.

*Question:—(d)

Locate √5 on the number line.

*Answer:—

Locating √5 on number line :

Here 5 = 2² + 1¹

[ See the attached image (I) √5 ]

So, draw a line a right angled OAB, in which OA = 2 units and angle OAB = 90°

By using Pythagoras theorem, we get

$\begin{gathered}OB = \sqrt{ {(OA) }^{2} + {( AB)}^{2} } \\ OB = \sqrt{ {2}^{2} + {1}^{2} } \\ = \sqrt{4 + 1} \\ = \sqrt{5} \end{gathered}$

Taking OB = √5 as radius and point Pad centre, draw an arc which meets the number line point P on the positive side of it.

Hence, it is clear that point P represents √5 on the number line.

*Question:—(e)

Factorise:— -x² + 11x - 18

*Answer:—

→ x² + 11x - 18

→ x² - 9x - 2x + 18

→ x(x - 9) -2(x - 9)

→ (x - 9) (x - 2)

Here,

→ x - 9 = 0

→ x = 9

And ,

→ x - 2 = 0

→ x = 2.

So we get 9 and 2 as the answer.

$@vikramjeeth$

answered by Ex-Brainly Stars

Answer 2

Answer is in the attachment....

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