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Lorico [155]
3 years ago
7

X2+8x=-1 complete the square

Mathematics
1 answer:
Sophie [7]3 years ago
6 0
(X+4)^2-15

This is the answer
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Problem of the Week
Ierofanga [76]

Answer:

CD is 6 cm and DE is 4 cm.

Step-by-step explanation:

Well it‘s the correct answer and I got it right so good luck out there bois!

6 0
2 years ago
Residents of a small city voted on whether to allow a developer to build a shopping center the number of votes in favor of the s
Sergeu [11.5K]
Total number of voters=4400+17600=22000

Percentage of voters in favour of the shopping center: 4400/22000=1/5=20/100=20%

Therefore, 20% of the voters are in favour of the shopping center
8 0
3 years ago
Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form. the x-inte
wariber [46]

Step-by-step explanation:

Given x intercept is 1, So (x,y) is (1,0)

When x intercept is 1 then y  value is 0

Another point on the line is (-2,3)

Two points are (1,0) and (-2,3)

Find out slope using the two given points

slope m=\frac{y_{2}-y_1}{x_2-x_1} =\frac{3-0}{-2-1} =-1\\m=-1

Use point slope formula

m=-1 and point(1,0)

y-y_{1}=m(x-x_{1})\\y-0=-1(x-1)\\y=-1x+1

Point slope equation is

y-0=-1(x-1)

Equation of the line in slope intercept form is

y=-1x+1

7 0
3 years ago
What is three and four fifths times three and one fifth
n200080 [17]

I believe it would be 12.16

3 0
3 years ago
Just answer what it asks in the picture PLEASE
Molodets [167]

m∠1 = 30° (by Vertical angle theorem)

m∠A = 80° (by Triangle sum theorem)

m∠D = 80° (by Triangle sum theorem)

The value of x is 7.5 and y is 9.

Solution:

∠ACB and ∠DCE are vertically opposite angles.

Vertical angle theorem:

<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>

⇒ m∠DCE = m∠ACB

⇒ m∠1 = 30° (by Vertical angle theorem)

In triangle ACD,

Triangle sum property:

<em>Sum of the interior angles of the triangle = 180°</em>

⇒ m∠A + m∠C + m∠B = 180°

⇒ m∠A + 30° + 70° = 180°

⇒ m∠A + 100° = 180°

⇒ m∠A = 100° – 180°

⇒ m∠A = 80° (by Triangle sum theorem)

Similarly, m∠D = 80° (by Triangle sum theorem)

In ΔACD and ΔDCE,

All the angles are congruent, so ΔACD and ΔDCE are similar triangles.

<em>In similar triangle corresponding sides are in the same ratio.</em>

$\frac{9}{12}=\frac{x}{10}

Do cross multiplication.

90 = 12x

7.5 = x

Now, to find y:

$\frac{9}{12}=\frac{6}{y}

Do cross multiplication.

9y = 72

Divide by 9, we get

y = 8

Hence the value of x is 7.5 and y is 9.

7 0
3 years ago
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