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4 years ago

Contains the x intercept of 4x-y=8 and the point (-4,3)

2 answers:

7 0

<span>1. </span><span>4x –y = 8, the point (-4, 3)
Let’s say y = 0
=> 4x – 8
=> 4x / 4 = 8 /4
=> x = 2
So the point is (2 , 0).
Now, we have 2 forms, the (2,0) and the (-4, 3)
=> (y2 – y1)(x2 – x1) = m
=> m = (0 - 3)(2-(-4))
=> m = (0 - 3)(2+4)
=> m = (-3)(6)
=> m = -1/2
Thus,
y = -1/2x + a
=> 0 = -1 + a so a = 1
y = -x/2 + 1</span>

Anna35 [415]4 years ago

5 0

Answer:

4x –y = 8, the point (-4, 3)

Let’s say y = 0

=> 4x – 8

=> 4x / 4 = 8 /4

=> x = 2

So the point is (2 , 0).

Now, we have 2 forms, the (2,0) and the (-4, 3)

=> (y2 – y1)(x2 – x1) = m

=> m = (0 - 3)(2-(-4))

=> m = (0 - 3)(2+4)

=> m = (-3)(6)

=> m = -1/2

Thus,

y = -1/2x + a

=> 0 = -1 + a so a = 1

y = -x/2 + 1

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Factor using ac-method and factor completely, 25x²-30x--40 (help)

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$25x^2-30x-40=\\
5(5x^2-6x-8)=\\
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5(5x(x-2)+4(x-2))=\\
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3 years ago

Read 2 more answers

Find the value of annuity if the periodic deposit is $1500 at 8% compounded semiannually for 22 years

Jet001 [13]

Answer:

The value of annuity is $P_v = \$ 32058$

Step-by-step explanation:

From the question we are told that

The periodic payment is $P = \$ 1500$

The interest rate is $r = 8\% = 0.08$

Frequency at which it occurs in a year is n = 2 (semi-annually )

The number of years is $t = 22 \ years$

The value of the annuity is mathematically represented as

$P_v = P * [1 - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ]$ (reference EDUCBA website)

substituting values

$P_v = 1500 * [1 - (1 + \frac{0.08}{2} )^{-22 * 2} ] * [\frac{(1 + \frac{0.08}{2} )}{ \frac{0.08}{2} } ]$

$P_v = 1500 * [1 - (1.04 )^{-44} ] * [\frac{(1.04 )}{0.04} ]$

$P_v = 1500 * [1 - 0.178 ] * [\frac{(1.04 )}{0.04} ]$

$P_v = \$ 32058$

8 0

3 years ago

Margo won 24 out of her last 36 tennis matches.At this rate,predict how many matches she would win out of her next 27 matches ?

adell [148]

27 out of 39 win i guess If u think this is right ok

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4 years ago

What is 7.53x10^ -10 pls help

Damm [24]

7.53x10^-10 (move the decimal 10 places to the left.

7.53x10^-10= 0.000000000753

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3 years ago

A and B are centres of two circles of radii 8 cm and 1 cm such that AB =13 cm and angle ACB =90 degree where C is the centre of

Artyom0805 [142]

Answer:

50.28 sq. cm.

Step-by-step explanation:

A and B are centers of two circles of radii 8 cm and 1 cm such that AB =13 cm.

Now, angle ACB =90 degree where C is the center of another circle which touches the above two circles.

Now, ABC forms a right triangle where AB = 13 cm, AC = (r + 8) cm and BC = (1 + r) cm.

{Where r is the radius of the circle C.

Applying Pythagoras Theorem. AB² = AC² + BC²

⇒ 13² = (r + 8)² + (r + 1)²

⇒ 169 = r² + 16r + 64 + f² + 2r + 1

⇒ 2r² + 18r - 104 = 0

⇒ r² + 9r - 52 = 0

⇒ (r + 13)(r - 4) = 0

Hence, r = 4 {As the value of r can not be negative}

Therefore, the area of the circle C is π(4)² = 50.28 sq. cm. (Answer)

7 0

3 years ago