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Vinil7 [7]
3 years ago
14

4.9.18

Mathematics
2 answers:
Ivanshal [37]3 years ago
7 0

Answer:

(- 5, 10 ) and (- 1, 6 )

Step-by-step explanation:

Given the 2 equations

y = x² + 5x + 10 → (1)

y = - x + 5 → (2)

Substitute y = x² + 5x + 10 into (2)

x² + 5x 6+ 10 = - x + 5 ( subtract - x + 5 from both sides )

x² + 6x + 5 = 0 ← in standard form

(x + 1)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 5 = 0 ⇒ x = - 5

Substitute these values into (2) for corresponding values of y

x = - 5 : y = - (- 5) + 5 = 5 + 5 = 10 ⇒ (- 5, 10 )

x = - 1 : y = - (- 1) + 5 = 1 + 5 = 6 ⇒ (- 1, 6 )

Kruka [31]3 years ago
3 0

Answer:

x= -5 or -1

Step-by-step explanation:

subst y = -x + 5 into y = x^2 + 5x + 10

-x +5 = x^2 + 5x +10

x^2 +6x +5 = 0

(x+5)(x+1)=0

x= -5 or -1

You might be interested in
Which expression is equivalent to 4( x + 3)?
Airida [17]

Answer:

B.

Step-by-step explanation:

use distributive property

4*x + 4*3 = 4x+12

3 0
2 years ago
Read 2 more answers
Help please help !!!!
natali 33 [55]

Answer:

You can try the first one which is the value it can be 5 and the second one can be 4. I can be wrong.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Pls help asap for 13 pls and thank u
AysviL [449]
Answer:
The answer is 35.5 square units


Step-by-step explanation:

The shape represents a rectangle, a small triangle removed from it at the upper right corner and a bigger triangle is attached to it at the upper left corner.

We get this formula:
A(shape) = A(rectangle) - A(small triangle) + A(big triangle)
SO LET'S FIND EACH!

A(rectangle)= length x width
length= 8 units
width= 4 units
We get:
A(rectangle) =8x4= 32 square unit

A(small triangle)= (base x height)/2
base= 1 unit
height= 1 unit
We get:
A(small triangle) = (1x1)/2 = 1/2 = 0.5 square units

A(big triangle)= (base x height)/2
base= 2 units
height= 4units
We get:
A(big triangle)= (2x4)/2 = 8/2 = 4 square units

For the final result:
A(shape) = 32 - 0.5 + 4 = 35.5 square units


8 0
2 years ago
PLEASE HELP ASAPPP!!! 15PT QUESTION!!! Suppose that a ball is rolling down a ramp. The distance traveled by the ball is given by
Sever21 [200]

Answer:

The average velocity of the ball is 137.5 \:ft/sec

Step-by-step explanation:

First find the velocities at given times and then form two points. Calculate the slope to find the average velocity. The two points are:

\left(6,\:396\right)\quad and \quad \:\left(6.5,\:464.75\right)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}=\frac{464.75-396}{6.5-6}

m=137.5

Best Regards!

5 0
3 years ago
The square root of -1 is:
Sliva [168]
The square root of -1 is I
4 0
3 years ago
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